{ "cells": [ { "metadata": {}, "cell_type": "markdown", "source": [ "# Outliers and Kriging\n", "\n", "Outliers may affect our analysis and the final interpolation results. In this tutorial, we learn about their influence on the final model and compare interpolation errors for different scenarios. In one set of experiments we clean outliers directly from a dataset, and in another set of experiments we remove outliers from semivariogram.\n", "\n", "We can remove too high or too low values at the preprocessing stage (check part 2 of the tutorial) or remove outliers directly from the variogram point cloud (part 4).\n", "\n", "## Prerequisites\n", "\n", "- **Domain**:\n", " - semivariance and covariance functions\n", " - kriging (basics)\n", " - outliers (statistical concept)\n", " - variogram point cloud\n", "- **Package**:\n", " - `TheoreticalVariogram`\n", " - `ExperimentalVariogram`\n", " - `interpolate_points()`\n", " - `VariogramCloud()`\n", "- **Programming**:\n", " - Python basics\n", " - `pandas` basics\n", "\n", "## Table of contents\n", "\n", "1. Prepare data\n", "2. Analyze distribution and remove potential outliers\n", "3. Create the Variogram Point Cloud models\n", "4. Remove outliers from the point cloud\n", "5. Compare performance of Ordinary Kriging on data with different cleaning levels" ], "id": "13daa6d606d87868" }, { "metadata": {}, "cell_type": "markdown", "source": "## 1. Prepare data", "id": "e3d2a648b3d4481a" }, { "cell_type": "code", "id": "initial_id", "metadata": { "collapsed": true, "ExecuteTime": { "end_time": "2025-12-21T14:59:08.828108Z", "start_time": "2025-12-21T14:58:53.688854Z" } }, "source": [ "import geopandas as gpd\n", "import numpy as np\n", "import pandas as pd\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "from pyinterpolate import VariogramCloud, build_theoretical_variogram\n", "from pyinterpolate import interpolate_points" ], "outputs": [], "execution_count": 1 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:59:12.901170Z", "start_time": "2025-12-21T14:59:09.422783Z" } }, "cell_type": "code", "source": [ "# Load DEM data\n", "\n", "df = pd.read_csv(\n", " '../data/dem.csv'\n", ")\n", "# Populate geometry column and set CRS\n", "\n", "dem_geometry = gpd.points_from_xy(x=df['longitude'], y=df['latitude'], crs='epsg:4326')\n", "dem = gpd.GeoDataFrame(df, geometry=dem_geometry)\n", "\n", "# Transform crs to metric values\n", "dem.to_crs(epsg=2180, inplace=True)\n", "dem.plot(column='dem', cmap='gist_earth', alpha=0.6, vmin=0, legend=True);" ], "id": "d0b5b4bea1d2f7cc", "outputs": [ { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 2 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:59:12.946298Z", "start_time": "2025-12-21T14:59:12.938930Z" } }, "cell_type": "code", "source": [ "train = dem.sample(n=int(0.5*len(dem)))\n", "test = dem.loc[~dem.index.isin(train.index)]" ], "id": "4954a00c7441e1d7", "outputs": [], "execution_count": 3 }, { "metadata": {}, "cell_type": "markdown", "source": [ "## 2. Analyze data distribution and remove potential outliers\n", "\n", "We will inspect all values in the train set to determine if our dataset contains outliers. In the beginning, we plot data distribution using violin plot, this kind of visulization will show the general distribution." ], "id": "ab753973ab98df3c" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:59:14.057992Z", "start_time": "2025-12-21T14:59:13.009590Z" } }, "cell_type": "code", "source": [ "plt.figure(figsize=(10, 6))\n", "plt.violinplot(train['dem'])\n", "plt.show()" ], "id": "fb90815a662b0238", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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dd8r69evNe6644grZs2dPrYcCAI4VzxZk5zANDiAmAGsQBgBYEH4+97nPyf333y9f/vKXZefOnebx5z//ebn33nvn3qOP77nnHnnggQfkySeflNbWVtm2bZtks3x4A8BSGhzohpc0OECVBmEaIADAyfmkxn7xi1/IVVddJVdeeaV5fOqpp8rDDz8sTz311Nysz9133y233367eZ966KGHZO3atfLoo4/Ktddee8zPzOVy5qiKx/m2E4A70eAAJ2qA8MYtPeL3UtEOAMdT80/Iyy67TB5//HHZvXu3efzcc8/Jz3/+c3nHO95hHu/bt09GRkZMqVtVZ2enXHrppbJ9+/ZFf+Zdd91l3lM9BgYGaj1sALAF3eCSBgdYjAbiF2mAAACNnfn5+Mc/bmZmzjrrLPF6vWYN0D/8wz/IddddZ17X4KN0pmc+fVx97Wi33Xab3HLLLXOP9ecTgAC4zVg8aza4BI5nMpmXV8dTckZfm9VDAQB3hJ/vfOc78s1vflO+9a1vyete9zp59tln5aabbpL+/n65/vrrV/Qzg8GgOQDArVK5orxEgwMswf6JlHSEfdLXHrJ6KADg/PDzN3/zN2b2p7p259xzz5UDBw6Y0jUNP+vWrTPPj46Omm5vVfr4/PPPr/VwAMD2iqWyPHcoKqUS5UxYmh1DcWnb4pNIoOa/5gHA1mq+5iedTovHs/DHavlbuTyzC7W2wNYApOuC5pexade3rVu31no4AGB7O4cTks7R4ABLVyzNNECgIyAALFTzr4Te9a53mTU+mzZtMmVvzzzzjHzxi1+UD3zgA+b1lpYWUwb3mc98Rs4880wThnRfIC2Lu/rqq2s9HACwtYOTaRmNsw0Ali+ZLZoW2K/f0Gn1UADAueFH9/PRMPPhD39YxsbGTKj5sz/7M7OpadWtt94qqVRKbrjhBolGo3L55ZfLY489JqEQ9ckAUBVLF2TPWMLqYcDGdPPT7taAbOgKWz0UAGgKLRUb9sTUMjlteR2LxaSjo8Pq4QBAzRVKZXly75RkC5S7HU+uUJIbH37G3L/vvRdI0O+1ekhNSSvRLzm1R9pDfquHAgCWZwN2QgOAJvTSUJzgg5rQJbcvHIqZxhkA4HaEHwBoMgcmUzKRyFk9DDhIOl+Sl0cooQQAwg8ANJF4tiCvjCWtHgYcuv5nOJaxehgAYCnCDwA0CW1L/OKhmNhvJSbsQmd/0vmi1cMAAMsQfgCgSewyF6as80H96Ea5up6szP4/AFyK8AMATWAskZWhKCVJaEwL9X2TKauHAQCWIPwAgMVyxZLsHGYxOhpn/0TKhCAAcBvCDwA0QblboUgbYjSOrit7aThG+RsA1yH8AICFRuNZGYvT1hqNl86VZO8EnQUBuAvhBwAsLHdj7xVY6cBkWmIZyt8AuAfhBwAssnskSbkbLC9/20H3NwAuQvgBAAtMJnOm5A2wWipXlMHptNXDAICGIPwAQIPpt+za5ABoFnvHU5ItsMcUAOcj/ABAgx2YSrOZKZpKqVyR3aMEcgDOR/gBgAbSb9d1jxWg2WjXQS3HBAAnI/wAQAO9Op4037IDzWjPWFIq2gUBAByK8AMADZLMFWU4SpMDNK9ktiij7DsFwMEIPwDQIK+MsaEk7DE7SetrAE5F+AGABoim8zKR4Bt1NL9MviSHoxmrhwEAdUH4AYAG2D/JPiqwjwOTaWZ/ADgS4QcAGrCJJLM+sFtXwjHOWQAORPgBgAZ8iw7YzYFJWrIDcB7CDwDUUa5YkpE46ydgP4lsUaZTeauHAQA1RfgBgDoaiWWlXLZ6FMDK0PgAgNMQfgCgjoZj7OsD+xpP5KRYIr0DcA7CDwDUcVNT3TQSsKtSuSITSUrfADgH4QcA6ljyBtjdSJzzGIBzEH4AoI4lQ4DdTSZzZgYIAJyA8AMAdVAolc3+PoDdVSoisUzB6mEAQE0QfgCgDqJpLhbhHIQfAE5B+AGAOuBiEU4STdP0AIAzEH4AoA4IP3ASzmcATkH4AYA6yBVKVg8BqJliqULTAwCOQPgBgDrIsTEkHCZf5JwGYH+EHwCoMf2GvFTiW3I4S67IbCYA+yP8AECN8Q05nCjPbCYAByD8AECNtbRYPQKg9lqEExuA/RF+AKDGfB4uEuE8nNcAnIDwAwA15uUiEQ7k9XJeA7A/wg8A1FhLSwsXinAcZn4AOAHhBwDqIOz3Wj0EoKbr2EI+zmkA9kf4AYA66Aj5rR4CUDNtQZ94mPkB4ACEHwCog/aQz+ohADXTTpgH4BCEHwCog44wF4twjs4I5zMAZyD8AEAdtAd94qPpARyiizAPwCEIPwBQB7o+Yk170OphAKvWFvJJa5AyTgDOQPgBgDpZ1xGyegjAqnEeA3ASwg8A1El3JCB+Hx+zsLe1hB8ADsJvZQCoY+kb35rDzroifgkH2N8HgHMQfgCgjgZ6wlYPAVixTT0Rq4cAADVF+AGAOooEfNLXQeMD2E8k4KVpBwDHIfwAQJ1t7mm1egjAsg30RKSlhXbtAJyF8AMADdggUtdOAHahjTr6uyjZBOA8hB8AaIDT1rRZPQRgybb0torXw6wPAOch/ABAA/S0BqSnLWD1MICTCvo9srGbWR8AzkT4AYAGOZ3ZH9hkllLbtAOAExF+AKBBOsN+umeh6Tu8rWdvKgAORvgBgAY6o69NaKCFZnV6H7M+AJyN8AMADdQa9Mn6TtZToPm0h3zSx8wkAIcj/ABAg522plU8fPqiKWclmfUB4Gz8+gWABgv5vbKpJ2L1MIA52omwt41ZHwDOR/gBAAts1n1UvHzLjuZAJ0IAbkH4AQAL+L0e2djF2h80x6yPdiIEADcg/ACARTb1Rlj7A8tt6W21eggA0DD82gUAiwR9Xuln9gcW6or4pbs1YPUwAKBhCD8AYKHNPXzrDmtnHwHATQg/AGChcMBrvn0HGs3nbZFTWunwBsBdCD8AYLG1HSGrhwAX6msPicdDx0EA7kL4AYAmCD/sLYlGW9dJ6AbgPoQfALBYwOdh0Tkayq/nHOWWAFyI8AMATaA96LN6CHCRtqBPWphuBOBChB8AaJLGB0CjRDjfALgU4QcAmkDYz8UoGofwA8CtCD8A0AQiAcre0DiEbQBuRfgBgCZQrlSsHgJcpMzpBsClCD8A0AQyhZLVQ4CLcL4BcCvCDwA0gUyei1E0TjpftHoIAGAJwg8ANIE04QcNRNgG4FaEHwCwWKVSkalU3uphwEUS2aIUSmWrhwEAzgg/hw8flj/6oz+S3t5eCYfDcu6558qvfvWrBb/o77zzTlm/fr15/YorrpA9e/bUYygA0PQmknlJ5ShDQuOUyhUZnEpbPQwAsH/4mZ6elje/+c3i9/vl//7v/2THjh3yT//0T9Ld3T33ns9//vNyzz33yAMPPCBPPvmktLa2yrZt2ySbzdZ6OADQ9PZPpqweAlzo4FRaisz+AHCZmm8s8bnPfU4GBgbkwQcfnHtuy5YtC2Z97r77brn99tvlqquuMs899NBDsnbtWnn00Ufl2muvrfWQAKBpablbLF2wehhwoWKpIkPRrGzqjVg9FACw78zPf//3f8vFF18sv//7vy99fX1ywQUXyNe+9rW51/ft2ycjIyOm1K2qs7NTLr30Utm+ffuiPzOXy0k8Hl9wAIDdlcsVeXU8afUw4PJZx1yR5gcA3KPm4Wfv3r1y//33y5lnnik/+MEP5C/+4i/kL//yL+Vf//VfzesafJTO9Mynj6uvHe2uu+4yAal66MwSANjdjuE4sz6wVL5YlucGY2YNEAC4Qc3DT7lclgsvvFA++9nPmlmfG264QT70oQ+Z9T0rddttt0ksFps7BgcHazpmAGi0veNJGYmxzhHWi2cK8tJQzJSlA4DT1Tz8aAe3c845Z8FzZ599thw8eNDcX7dunbkdHR1d8B59XH3taMFgUDo6OhYcAGBXGnr2jtPkAM1jLJ6jBBOAK9Q8/Gint127di14bvfu3bJ58+a55gcach5//PG513UNj3Z927p1a62HAwBN1+Bgx3DM6mEAx9g/kab9NQDHq3m3t5tvvlkuu+wyU/b2nve8R5566in5l3/5F3OolpYWuemmm+Qzn/mMWRekYeiOO+6Q/v5+ufrqq2s9HABoGnphuXs0IVQXoVntGklIOl+SM/vaxONpsXo4AND84eeSSy6R7373u2adzqc+9SkTbrS19XXXXTf3nltvvVVSqZRZDxSNRuXyyy+Xxx57TEKhUK2HAwCW08XkO4fjrPGBbUJ6IluQczd2StDntXo4AFBTLRUbrnDUMjnt+qbND1j/A6CZZQsleW4wKols0eqhOE6uUJIbH37G3L/vvRdI0M+Fei0F/R55w4Yu6Yz4rR4KANQsG9R8zQ8A4Mj6nif3TRF8YEu5QlmePjglh6ZZBwTAOWpe9gYAbqd7p7wylpShaMbqoQCrUi6LvDyckLFETs5a1y6RAJcNAOyNTzEAqBGtIj4czZjgUyzZrqIYOK6pZF6e2Dspm3paZcspreKlGQIAmyL8AEANxDIF0ylLN4wEnDoLtH8iZRp3vGZdm/S106QIgP0QfgBgFQqlmRK3w9OUuME9TTyeH4zJKe1Zee3adgkHaDQBwD4IPwCwAsVSWQ5NZ+TAVFoKxbLVwwEabiKRk6lUTjZ2R2RTT0RCdNsDYAOEHwBYZugZ1NAzmWJdD1xPS+EOTqZNR7gNXRHZ3EsIAtDcCD8AsMTyNt388eBUmtADLBKC9N/H4Wha+rvCcmpvKyEIQFMi/ADASUKPBh69sCP0ACcPQYemMqbN+/rOsOkMRwgC0EwIPwBwnEXdWsqjJW4lQg+w7BCkTUCGYxlZ1xGWgZ6wtIf8Vg8LAAg/ADBfNJ2XwamMjCWyUiHzAKsOQToLpEd3a8CEoDVtQWlpYZ8gANYg/ABwvXK5IiPxrCltS2SLVg8HcKTpVN4c2hp7Y3fYrA3yez1WDwuAyxB+ALi8tC0jh6MZ2lUDDZLJl2TPaFL2jqdkXWdIBnoi0hbkcgRAY/BpA8CVpW0aekbjlLYBVimVK2ZdkB7VkrhTWoPi8VASB6B+CD8AXCFfLJvF1zrLk86VrB4OgEVK4gI+jymH6+8KSSTAJQqA2uOTBYBjVSoVmUrlZSialfFk1iy+BtDcX1Lsn0iZQ2eDNnSFpa+d2SAAtUP4AeDItTzDsazpMKXrCwDYdzbI7/PI+s6QCUKtrA0CsEp8igBwzCzPRFJneTIykcyxlgdwCG1GcnAybY6uiN+Uxa3tCImX2SAAK0D4AWBrqVzRrOXRmZ5cgbo2wMmi6YI5do0mZG17yKwN6ooErB4WABsh/ACwnUKpbDq1aeCJpQtWDwdAg5VKlbnNUyMBr6zvCpvSuJDfa/XQADQ5wg8A25S1TacL5mJnPJEzbXIBIJ0vyatjum9QUnpaA6Ysbk0bTRIALI7wA6CpacOCIS1ri2ZNIwMAWIyu85tM5s3h87aYDVQ1CHWE/FYPDUATIfwAaDo6qzOWmOnWNp2irA3A8hRLFTk0lTFHW8gn/Z1hE4Z0HyEA7kb4AdA0YpmZsraReNbU9APAaiWzRdmdTcgr4wlZ0xaS9V0h6W0NSEsLZXGAGxF+AFi+qeGI7skTy5iLFACoB93kWBul6BH0695BYbN3UDhAkwTATQg/ACxpXjCZOrInj16UAECjaFv8/RMpc3SbJgkh6Wtn7yDADQg/ABpGGxYcnm1Py548AJrBdCpvjl3ehFkXtLE7Im1BLo8Ap+JfN4C6m0rl5dB02rSo1o5MANDMTRK6W/0mBNEyG3Aewg+Aum1Eqmt5BqfTks7RohqAfWiXyelUzHSH29A9szaIDVQBZyD8AKipRLYgh6YzJviwESkAuzdk2Tc+szZoTXvQzAbpRqoA7IvwA6AmDQzGEjkZnEpLNM2+PACcRct1x+I5c0SCXhnojpgNVGmQANgP4QfAqkKP7smzbyJFaRsAV9DPul0jCfO5t7k3YkrifF42TwXsgvADYNnK5YoMx7NyQENPntADwJ0lcXtGk7J/Mi2beiKysTssfkIQ0PQIPwCWFXq0VfWBybRpWw0AblcoluXVsaQcmEzJQE/EBCFCENC8CD8AlhR6tInBgakU+/MAwHFaZWtzhINTaRnoDsumnlbTLQ5AcyH8ADgh3fxv53Cc8jYAWIJSqSL7J9JyOJqV16xtk/WdYauHBGAewg+ARRVLZdkzlpTD0xmrhwIAtiyHe+lw3LT9P3t9B/sEAU2C8APgGOOJnLw8EqfEDQBWaTKZl+2vTsoZfW2mKUJLC+2xASsRfgDMyRVLsnskKaPxrNVDAQDH0A2ftT22bg2gs0BtQS6/AKuwEg+AkcmX5Kl9UwQfAKiTWLogT+2bNGspAViD8APAtK3+9cFpytwAoM7KZZFnD0UllilYPRTAlQg/gMsVSmV55mDUzPwAABrTEe7Zwagkc0WrhwK4DuEHcHlHN/0FnOIXMAA0vBvcMwen+eIJaDDCD+Bi2spaa9ABAI2npcYvHI5ZPQzAVQg/gItNsegWACwVzxRM+TGAxiD8AC5uckC5BQBYbzrNF1FAoxB+AJeKUu4GAE2B8mOgcQg/gEslc/yyBYBmkKDpDNAwhB/ApdZ2hKweAgBARNZ38nkMNArhB3Cp9pBfetsCVg8DAFwt5PfK2nbCD9AohB/AxU7tbbV6CADgapt6IuLxtFg9DMA1CD+Ai3W3BqQz4rd6GADgSn6fR/q7mPUBGonwA7jceRu7pCNMAAKARgr6PXLR5m7xebkUAxqJf3GAywV8M7+AT2kPWj0UAHCF1qBPLjm1R9qCPquHArgO4QeAeD0tct7GTunvCls9FABwtO5Wv1x8ardpdACg8fjKAYDR0tIi5/R3mFKMfeMpq4cDAI7T1xGU1/d30uAAsBDhB8ACp69pk66wX3aNJCSdL1k9HABwRGODM/rapL8zZL5oAmAdwg+AY/S2BeVNpwXkwFRa9k+kpFSuWD0kALCljT1h86WSn8YGQFMg/ABYlJZlbDml1ew8vns0IWPxnNVDAgDb0G0EXruuXTpCdNMEmgnhB8AJ6aLcN2zskslkTnaNJiSdoxQOAE5U4nZmX5v54ogSN6D5EH4ALL0ULhKQw9GM7J9MSa5QtnpIANA0vN4WGeiOyObeCCVuQBMj/ABYVincQE9ENnSFZTielQMTKZoiABC3z/Rs6onIxu4woQewAcIPgBWFIA1A2rloNJ6TfRMpSeWKVg8LABpGtwXY3NMqG7rDZq80APZA+AGwYlrPvq4zJGs7gjKezMn+ibTEMwWrhwUAdRMOeE1pW39nmP16ABsi/ACoSQjqaw+ZQxsjaIvsqWTe6mEBQM20hXwm9KxtDxF6ABsj/ACoeWMEPZK5ohycTMtIPCNleiMAsCFt1nZKW9Cs6eluDVg9HAA1QPgBUBdtQZ+c099hdjUfimZkcDpNhzgAtuDztkh/V9h0b9MyNwDOQfgBUFcBn0dOPaXVlIuMJXIyOJWWaJp1QQCaTyTgNR0tdY8eH53bAEci/ABo2LqgtR3aHCEksUzBhKCxRJaSOACW62kLmNK23tYAG5MCDkf4AdBwnWG/dG7olFxRS+KycoiSOAAWbEqqHdsGesISCXA5BLgF/9oBWCbo88oWLYnriZhW2ZTEAai3SNBr1vJQ2ga4E+EHgOW0bWy1JC6R1ZK4jIzGs1IqV6weGgAHdW3T9Tw9dG0DXI3wA6CptIf8ck6/X85cO9Ml7tB0RjL5ktXDAmDTrm0bu8OyoYuubQBmEH4ANCW/1yObe1vNImQtidM9gyiJA7DU0jb97FjfGRYvG5ICmIfwA6CpaeelvvaQOapd4rQkrkJFHICj0LUNwMkQfgDYrkucbpyqHeK0JK5YIgUBbubxiFkvqKFHy2YB4EQIPwBsJ+T3yhl97XJqb6sMx7JmNijNuiDAVfw+j1nPo4d2jgSApSD8ALAtbVOr3Zv04mc8kZO9EylJZotWDwtAnb/82Nwbkf4u1vMAWD7CDwBnrAvqCJljLJGVfeMpSRCCAMeFnlNPiZiNSbU9PgCsBOEHgKNUmyPoTNC+iZTEM3SIA+xMW1SfekqrrO8IEXoArFrdtzb+x3/8R/Ot7E033TT3XDablRtvvFF6e3ulra1NrrnmGhkdHa33UAC4yJr2oLxxS49csKlLOiMsggbsJhLwyjn9HbL1tF7Z0MVsDwAbhJ9f/vKX8tWvflXe8IY3LHj+5ptvlu9973vyyCOPyE9/+lMZGhqSd7/73fUcCgCX6m0LyiWnzoSg9hCT3YAdyttet6FDtp7ea9b1EHoA2CL8JJNJue666+RrX/uadHd3zz0fi8Xk61//unzxi1+U3/zN35SLLrpIHnzwQfnFL34hTzzxRL2GA8DlNATpTNDZ/R0S8NV90hvAMmnzgtPWtJrQo5uTsk8PgHqo2xWAlrVdeeWVcsUVVyx4/umnn5ZCobDg+bPOOks2bdok27dvX/Rn5XI5icfjCw4AWC69mNLymctO7zXdonR/EADWW9cZMqHntDVtdHADUFd1qQH59re/Lb/+9a9N2dvRRkZGJBAISFdX14Ln165da15bzF133SWf/OQn6zFUAC5tkX3m2nbZ0B2W3aNJmUjkrB4S4Epaivrade3SFQlYPRQALlHz7z0HBwflr/7qr+Sb3/ymhEKhmvzM2267zZTLVQ/9bwDAakUCPjl/oMusB9LF1QAat0GplqBqKSrBB4Ctw4+WtY2NjcmFF14oPp/PHNrU4J577jH3dYYnn89LNBpd8Oe029u6desW/ZnBYFA6OjoWHABQy/VAl2pHqe6w1UMBHK+nLSCXbukxJais6wFg+7K3t7/97fLCCy8seO7973+/WdfzsY99TAYGBsTv98vjjz9uWlyrXbt2ycGDB2Xr1q21Hg4ALImuMzh7fYf0tgVk53BCCsWy1UMCHEXX2J2xpl0Gegg9ABwUftrb2+X1r3/9gudaW1vNnj7V5z/4wQ/KLbfcIj09PWYW56Mf/agJPm9605tqPRwAWBbdILUj5Jcdw3GZSuatHg7gCK1Bn7x+Q4e0h9hzC4C1LNn04ktf+pJ4PB4z86Od3LZt2yZf+cpXrBgKACy6z8gFA10yOJWRV8YTUmYSCFixgZ6InNFHFzcAzaGlUqlUxGa01XVnZ6dpfsD6HwD1FE3n5dnBqBRLtvuodLxcoSQ3PvyMuX/fey+QoJ+mFc1EK9u0lFQ3KgWAZskG7HIBACegnagu2twtQT8fl8By1ve8YWMXwQdA0+G3OQCchK5TuHhzD+2wgSXweVvkwk3dsqY9aPVQAOAYhB8AWIJwwCsXn9ojHWEWbAPHozOk+u+EvXsANCvCDwAsUcDnkQs3dUlbyJJeMUDTb1yqM6RtQf59AGhehB8AWAaf1yPnD3SZIATgyBqf8zZ2mhlSAGhm/PYGgBW0wj5vY5e54AMg8tp1HZS6AbAFfnUDwAp0RvymjS/gdpt6I7KBrm4AbILwAwArtL4zbC78ALfqbg3ImX1tVg8DAJaM8AMAq3DaKa3sAQRX0rLPs9e3S4vuZgoANsFvbABYZQOE165tt3oYQMNt6mmVSIDObgDshfADAKvU1xGSnjYWe8NdTT+2nNJq9TAAYNkIPwBQA2et0/Ifq0cBNMZr1rWJ18MJD8B+CD8AUANa/tPXHrJ6GEDdRYJeznUAtkX4AYAa2dhNu18438YuOhwCsC/CDwDUsO1va5AF4HAuLXVb38WsDwD7IvwAQA0x+wMnW9sREr+XSwcA9sUnGADU0Jr2oNVDAOqG8xuA3RF+AKDGLYDZ9BRO1Rn2Wz0EAFgVfkMDQI11hdnzB84TCXgl4OOyAYC98SkGADXGt+Nwos4I5zUA+yP8AEAd9kEBnLiXFQDYHeEHAAAAgCsQfgAAAAC4AuEHAAAAgCsQfgCgxkrlitVDAGquVC5bPQQAWDXCDwDU2EQyZ/UQgJqbSOatHgIArBrhBwBqqFKpcJEIR0pmi5ItlKweBgCsCuEHAGoolilIoUh5EJxpPMGsJgB7I/wAQA2Nxrk4hHONxrNWDwEAVoXwAwA1Ek3n5dB02uphAHUTTRc4xwHYGuEHAGqgUCrLi4fjUqHRGxxu92hCEtmC1cMAgBUh/ABADewYirMYHK6gHa9fOByjpTsAWyL8AMAqDU6lWQgOV0nnSvLySNzqYQDAsvmW/0cAANW21q+Op2T/RMrqoQANNxzNmlmgs9e3i8/Ld6kA7IHwAwAroCVuLw3FZDrF2ge4u/ubrv85d2OntIf8Vg8HAE6Kr2oAYJmmUnl5at8UwQfQErh8SX65f4oucABsgZkfAFhGmdveiZTsG6fMDZhPy99eHk6YVthnraMMDkDzIvwAwBJCz3gyJ/sn0hLPMNsDHM9ILCuxTEE290akvzMsHk+L1UMCgAUIPwBwgtAzGs/JvomUpHJFq4cD2EImXzKzQPrvZnNPq/R3hZgJAtA0CD8AcJRyuSJDsYwcmEybCzkAy5crlM2GqPsmUzLQHZaBnoj4CUEALEb4AYBZxVJZhqJZOTCVMhduAFavUCzL3vGUHJhKz4WgoM9r9bAAuBThB4DrxbMFGYtn5dB0Rooldq0H6qFUqph1cwen0rKuIyzrOkPSHfFLSwvrggA0DuEHgCvpomwNPGOJHKVtQIM7ww1FM+bw+zyypi0oazuC0h0J0CABQN0RfgC4pnlBPFOU0URWxuI5s0kpAOtL4qpByOdtkb72kPR1BKWHIASgTgg/ABwdeMwMTyJndqJnHQ/QvLTkdH4QOsXMCIWkt5UgBKB2CD8AHNe0QAOP7ssznsgReACbBiHdM0gPr7fFlMataQ9KV8RPswQAq0L4AWBrhVJZptN5iaULMp0uSCJbkAo9CwBHNUqoBiEVCXrN+iA9NAyF/IQhAEtH+AFgK7liSaIm6OTNbTLL5qOAm6RzJUnnMnJ4OmMehwNeE4KqYSgS4NIGwPHxCQGgqWljAg0606mCRNN5SdOZDcA82q1Rj+HozMxQ0O8xQagz7Jfu1oC0BbnUAXAEnwgAmqpBgYabaKYg06mZmR26sgFYDl3nN79MTttpd4VnZ4Za/dIW8NFAAXAxwg8AS5TLFUnmi5LIFk3pmq7VSeSKpr4fAGrZTlubn+ihPB6R1oBP2kN+aQ/prc/MDvm8HquHCqABCD8AGtKBLZmbCTpxDTnZoqTzRbPZIQA0kn7u6GeQHvNFAt6FgSjko7Mc4ECEHwA1pWVq1aCjszk6q8M6HQDNTj+n9BiNH3lO1w9pINKZoQ4TivymwQIA+yL8AFjx+pxMoTQXcqrfpOaLTOcAcM76oVwhJxOzJXNKN2CdmR2aCUV6v5V1RIBtEH4ALKkJQSpfNC1mzW1+ZnaH9TkA3LgBq3af1KNK1xFpi+1WPYJeaQ36TBmdPuclFAFNhfADYG5dTsqUfRQlpfto5Ism4GgZG2tzAOD49DNSS3wX23dMy+Q0COksUSSoAWkmFAV8NFgArED4AVxGw4yZycnNzODoTI7e1/IOAEB99iGaTOYXPK8tuKtBaCYYec3MUcjvkZYWZouAeiH8AA5ej6MzN/NL1TTkaMkGAMD6FtxRPdJHyueUlsnpbJEJRIEjJXStrCsCaoLwA9g44OSKZfONYrqg3yxWA05JMgXaSAOAHZV0D7QTlNBVw1DYP1NOp8+FfF6CEbBEhB/ABjM4JuBo6cRsyZopoyDgAIArS+iOplVyGoZCs+uLIn6fhAIeU1IX8ROMgPkIP4DFyuXK7MzNbMgpzMzgZGfDToUqNQDACejvieo+RVOLvK77Fc3MFlW70M0GJb9XfF4aL8BdCD9AgzqpzZ/BmZnFmQk5NBoAANR/v6KyTMvC9UVKu86F55XR6WyR3tfn6EgHJyL8ADWSK86Em2yhbNpEm9mb2TI1Nv4EADQj/f2kR2yRYKQbus6EIt9MQJqdLdLboI+udLAnwg+w3NmbgpakHbk/E3hKZpEqAABOod1BE6WiJBZpvqAbu2qjBS2fMzNFs6EoNHufWSM0K8IPMG/tjemeNi/UzDQWmDm0LSkAAJjZ2LVaxr0Y7+ysUTUULbilCQMsRPiB60rTjp61MTM5swfNBQAAWL1SqSLJ0uItu6tNGEyHuqNCESV1qDfCDxxFS8/ml6LNbzJAaRoAAM3VhEEWWWs0v6SuuqdRtZW33vrpUIdVIPzAtht7Hj17o7c0FgAAwDkldYu17q42YjANGOatM2LDVywF4QdN3Rb66PU32WKJjT0BAHCxEzVi0Gq5oG+RdUaztzRiAOEHlszeaDvoI8GmKJl563BoLAAAAFZC1+5W1/FOL/I6jRhA+EFdFEq6183supvqmpu5fXBoLAAAAJq3EcPRwSg0e8D+CD9YdcDRQJMyszclSeWKZvZGp6QBAADs2Ighmj62EYPX02ICUGtwthFDwCets5u/aqkd7IHwgxPS7mjparAxMzhH7lOeBgAA3EKvifRLXj0WK6eLmGDkM2GoNTBzqyGJ7nTNhfADs7mnztbMn8WZ6bJSnG1DCQAAgBOV0x2vCYPf55mbIYrMmy3S+zqbhMYi/LisRbR+W2FCTmG2RG32PmtwAAAAak8rZaLFxUvpdI2RhiCdIWqdnS3SsjpadtcP4ceBtKFAPFswi/n0G4iZsFOkRTQAAEDTrTHKy3Tq2Jbd1YYL7SGftAX95lZDUou+iBUj/Ni8XE1L1DTgJHN6WzD3aTYAAABgX1qRU93odTKZn3tey+R0XdFMIPJJR8hvZop8rCtaMsKPjTqrVWdyErmZkKNrcpjNAQAAcE/ThXimYI75dEaoPeSXttCRYERr7sURfpqQrsOpBpxq4NFSNgAAAOBo1Vmi0fiR5wI+jwlDHZTNLUD4aYIZHZ3O1DU6lK0BAACgFvLFskwl8+ZYrGyuI+yX3taA62aIal4geNddd8kll1wi7e3t0tfXJ1dffbXs2rVrwXuy2azceOON0tvbK21tbXLNNdfI6OiouIXO4gxOpeXXB6fl/9szLi8ejsnBybRMpwoEHwAAANS1bO7wdEZ2DsXl53sm5Kl9U7JvImXWj7tBzcPPT3/6UxNsnnjiCfnhD38ohUJBfvu3f1tSqSNtLG6++Wb53ve+J4888oh5/9DQkLz73e8WJ9NZHT2xntw7aU60XSMJk8RZswMAAACrxDMFeXUsKU+8Oim/eGVC9owmJJrOm21SnKilUue/2fj4uJkB0pDzlre8RWKxmKxZs0a+9a1vye/93u+Z97z88sty9tlny/bt2+VNb3rTSX9mPB6Xzs5O87M6OjqkGen/rNrPfTyZk/FEzqzjAQDUTq5Qkhsffsbcv++9F0jQZaUbAFBPfp9H1rQF5ZT2gPS2Bpt6Q9blZIO6r/nRQaienh5z+/TTT5vZoCuuuGLuPWeddZZs2rTpuOEnl8uZY/5fsFmNJbIm7Ewk82ZTKwAAAMBuCsWyDEUz5tDg09MakDXtQVnbEWrqIHQydW0KXi6X5aabbpI3v/nN8vrXv948NzIyIoFAQLq6uha8d+3atea1460j0jRXPQYGBqQZ6cnx/GBMhqNZgg8AAAAcs1ZoPJGTHUNxeWUsKXZW1/Cja39efPFF+fa3v72qn3PbbbeZGaTqMTg4KM0mVyzJ7tGE1cMAAAAA6mZwKi2x9MJ9huykbuHnIx/5iHz/+9+XH//4x7Jx48a559etWyf5fF6i0eiC92u3N31tMcFg0NTvzT+ajTYwoFMbAAAAnO6l4ZiUy/a87vXUY6G/Bp/vfve78qMf/Ui2bNmy4PWLLrpI/H6/PP7443PPaSvsgwcPytatW8WOdJ3PWPzImiQAAADAqdK5kuybPNLJ2U589Sh1005u//Vf/2X2+qmu49G1OuFw2Nx+8IMflFtuucU0QdBZnI9+9KMm+Cyl01szag34pL8rLCPxDK2rAQAA4Gi9bdoBLiB2VPPwc//995vbt771rQuef/DBB+VP/uRPzP0vfelL4vF4zOam2sVt27Zt8pWvfEXsSnfKPae/Q05b0yoHp9Jm4yhdGAYAAAA4QUuLmE5vm3sj0h7yi13VPPwsZdugUCgk9913nzmcJOT3ymvWtsuWU1rNYrDB6Qxd3wAAAGBbHo/Ihq6IbOqJSDhg//3U6r7Pjxv5vR45bU2bbO5tNe2vD0ymJVtgk1MAAADYg8/bIhu7IzLQE5agz/6hp4rwU0e6AdRAT0Q2dIVlIpUzbQHjWT2KUqIzHAAAAJpohqct6JeOsE86w35Z0xYUn7euu+JYgvDTAB5Pi/S1h8xRLQ1M50szQShTlFimIMlcgWYJAAAAaMj6nUjAZ4JOR8gvnRG/tAV85prV6Qg/FmhpaTFNEvRY3znznPZKT+aLEs/MBCINRqlcUZawhAoAAAA4rkjAKx1hvwk6Gnjagj5HzuosBeGnSWjSNiekds/onnlOO8YlZmeHZmaJCmbGCAAAAFhM0O+ZDTl6XekzndkCPncGncUQfpp8zVBXJGCOqkKpPDM7lC2amSENQ+l8UYqsIQIAAHDVdaJ2X9NZnfklbNp9GMdH+LFhJ7netqA55tNQpEEoMxuG9L52mEvlS7TbBgAAsCGvt0Ui/plwcyToeM19J3VgayTCj4NCUWdYj2M3ndJglClUg9FMONL7+lyuQDACAACwsqW0hptqqDEBxz8TdihXqz3Cj0uCkR5mPdFRiscEIw1FMzNHBCMAAIDV8/s80hrwmpK0aplaNejoNRoah/Djctrpo12PRYKRNlzQYFSdKaqGo1yhJNliidbcAAAAs62jtQwt5PfMhpojMzlhPwGnmRB+cMKFdNoKUY/F5Iq6rqhsbnWWSNcY6WMNRno/XyzTqhsAANielp8FfR4zczNzzN73eU13NX1NtzJB8yP8YMX0G46ZxXbHzhpV9y7Kl+aFIl1jVKw+1tmjMs0YAACA5U0FNMTMBZrZcFOdydHX3LD5p1sQflA3+kER8sx8iByPltZVZ5DmQtG82SMNSyXaeAMAgBXweGR2dka/sK2GmyMhR5+jJM1dCD+wvLRupi72+O/RbnXVUDQ/KM0vu2P9EQAA7qJVZlqOVi0/q4YaLUOrBhvaQeNohB/Ypltde2jx1yuVmfI6nSXKVdcgHX2fEjsAAGxVilYNLzMzNrP39dbLOhusHOEHtqcffHPrj44TkKprkGaC0GLhaLZpA7NIAADUvStaNbxUw83M4+psjcd0owXqgfADV61BMi0nAyeeAtcyu5lwdGTWqNq9rroOSe87hf49ATvSLy0Wuw/Yia5FcdJeNtXwckzAmb0f8DJbA2sRfoDjlNkdr8V3tdRubvaoNDNrdGQN0pEZJTs0a7jx4WesHgKwarc88rzVQwBW5P/944vFDutzj52dOXb2ho5osAPCD7AC+q1VtVPM8Vp9q2KpPLMeqVCWMpseAQCOcsGmLmlW1Q5pdEODkxB+gDrSmmU9TtTNzmo7PrXN6iEAgGtpx1MAjcO/OMDl+MULAADcgnlMAAAAAK5A+AEAAADgCoQfAAAAAK5A+AEAAADgCoQfAAAAAK5A+AEAAADgCoQfAAAAAK5A+AEAAADgCoQfAAAAAK5A+AEAAADgCoQfAAAAAK5A+AEAAADgCoQfAAAAAK5A+AEAAADgCoQfAAAAAK5A+AEAAADgCoQfAAAAAK7gExuqVCrmNh6PWz0UAAAAABaqZoJqRnBc+EkkEuZ2YGDA6qEAAAAAaJKM0NnZecL3tFSWEpGaTLlclqGhIWlvb5eWlharh4MTpHANqIODg9LR0WH1cGADnDNYLs4ZLBfnDJaD88UeNM5o8Onv7xePx+O8mR/9S23cuNHqYWCJ9MOCDwwsB+cMlotzBsvFOYPl4Hxpfieb8ami4QEAAAAAVyD8AAAAAHAFwg/qJhgMyt///d+bW2ApOGewXJwzWC7OGSwH54vz2LLhAQAAAAAsFzM/AAAAAFyB8AMAAADAFQg/AAAAAFyB8AMAAADAFQg/AAAAAFyB8INVue++++TUU0+VUCgkl156qTz11FMnfP/dd98tr33tayUcDsvAwIDcfPPNks1mGzZe2OucKRQK8qlPfUpOP/108/7zzjtPHnvssYaOF9b52c9+Ju9617ukv79fWlpa5NFHHz3pn/nJT34iF154oWlLe8YZZ8g3vvGNhowV9jxnhoeH5Q//8A/lNa95jXg8HrnpppsaNlbY85z5z//8T/mt3/otWbNmjXR0dMjWrVvlBz/4QcPGi9Uj/GDF/v3f/11uueUW0//+17/+tbkw3bZtm4yNjS36/m9961vy8Y9/3Lx/586d8vWvf938jL/9279t+Nhhj3Pm9ttvl69+9aty7733yo4dO+TP//zP5Xd/93flmWeeafjY0XipVMqcIxqYl2Lfvn1y5ZVXytve9jZ59tlnzYXsn/7pn3Jh4iLLPWdyuZy5iNXPGv1zcJ/lnjMaljT8/O///q88/fTT5vNGwxO/l+yDfX6wYvqt/SWXXCJf/vKXzeNyuWxmcz760Y+akHO0j3zkIyb0PP7443PP/fVf/7U8+eST8vOf/7yhY4c9zhn9Ju7v/u7v5MYbb5x77pprrjEzh//2b//W0LHDWvqN7He/+125+uqrj/uej33sY/I///M/8uKLL849d+2110o0GmXG0IWWcs7M99a3vlXOP/98U6EAd1ruOVP1ute9Tv7gD/5A7rzzzrqNDbXDzA9WJJ/Pm288rrjiirnntGRAH2/fvn3RP3PZZZeZP1Mtc9q7d6/55uSd73xnw8YNe50z+q2slrvNp8GHsIzF6Hk0//xSOrN4vPMLAFZLv8RLJBLS09Nj9VCwRL6lvhGYb2JiQkqlkqxdu3bB8/r45ZdfXvTPaF21/rnLL79cdMKxWCyaMibK3txhJeeMXrh+8YtflLe85S1m3Y/OGmq9tf4c4GgjIyOLnl/xeFwymYwJzgBQS1/4whckmUzKe97zHquHgiVi5gcNowuRP/vZz8pXvvIVs95DL2K1ROXTn/601UNDk/rnf/5nOfPMM+Wss86SQCBgSiff//73mxkjAACspGuZP/nJT8p3vvMd6evrs3o4WCJmfrAip5xyini9XhkdHV3wvD5et27don/mjjvukPe9731mAbI699xzzULDG264wazr4ILW2VZyzuhCZO28ox0BJycnzRogXRt02mmnNWjUsBM9jxY7v7QjE7M+AGrp29/+trmeeeSRR44pt0Vz42oTK6Lfwl900UULmhdo3as+1raPi0mn08cEHL0YVvTdcL6VnDNVuu5nw4YNplTyP/7jP+Sqq65qwIhhN3oezT+/1A9/+MOTnl8AsBwPP/ywqULQW+0wCXth5gcrpi2Lr7/+ern44ovljW98o+mQozM5+oGg/viP/9hcsN51113msbaC1PUbF1xwgen69corr5jZIH2+GoLgbMs9Z7QT4OHDh00HJr39xCc+YQLTrbfeavHfBI2gdfT6OTG/lbW2sNaFxZs2bZLbbrvNnBcPPfSQeV3XEGonQT0/PvCBD8iPfvQjU46i5bVwh+WeM0pfr/7Z8fFx81i/rDnnnHMs+Tuguc8ZLXXT32Nalq3XMrrWUOnscmdnp2V/DyyDtroGVuree++tbNq0qRIIBCpvfOMbK0888cTca7/xG79Ruf766+ceFwqFyic+8YnK6aefXgmFQpWBgYHKhz/84cr09LRFo0eznzM/+clPKmeffXYlGAxWent7K+973/sqhw8ftmjkaLQf//jHOiV8zFE9R/RWz5mj/8z5559vzq/TTjut8uCDD1o0elhhJefMYu/fvHmzRX8DNPs5o/dP9H40P/b5AQAAAOAKrPkBAAAA4AqEHwAAAACuQPgBAAAA4AqEHwAAAACuQPgBAAAA4AqEHwAAAACuQPgBAAAA4AqEHwAAAACuQPgBAAAA4AqEHwAAAACuQPgBAAAAIG7w/wOF3jwSlddseQAAAABJRU5ErkJggg==" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 4 }, { "metadata": {}, "cell_type": "markdown", "source": [ "> **Note**: Your plot may differ from the tutorial's. Why is that? Because we take a random sample of 2% of values, and after each iteration, the algorithm takes different points for the analysis.\n", "\n", "**Clarification**\n", "\n", "Investigation of the plot tells us that our data is:\n", "\n", "- grouped around the lowest values, and most of the values are below 50 meters\n", "- has (probably) two different distributions mixed, which can be a sign that the Digital Elevation Model covers multiple different types of elevation. One is grouped around 20 meters, the next roughly 50 meters\n", "\n", "Violin plot is suitable for the distribution analysis. Finding outliers in this plot may be challenging because we see mostly distributions. We should change a plot type to understand if outliers exist in a dataset. The excellent choice is the boxplot:" ], "id": "cac0676337722787" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:59:14.251106Z", "start_time": "2025-12-21T14:59:14.110133Z" } }, "cell_type": "code", "source": [ "plt.figure(figsize=(10, 6))\n", "plt.boxplot(train['dem'])\n", "plt.show()" ], "id": "d7bbeb820a810c13", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 5 }, { "metadata": {}, "cell_type": "markdown", "source": [ "**Boxplot** is a handy data visualization tool. Let's analyze this plot from the bottom up to the top.\n", "\n", "> **Note**: Boxplot represents values sorted in ascending order and their statistical properties: quartiles, median, and outliers.\n", "\n", "- The bottom whisker (horizontal line) represents the lower range of values in our dataset\n", "- The box lower line is the first quartile (*Q1*) of data or, in other words, 25% of values of our dataset are below this point\n", "- The middle line is the median (*Q2*) of our dataset\n", "- The upper line is the third quartile (*Q3*) of a data or, in other words, 75% of values are below this point,\n", "- The top whisker represents the upper range of values in our dataset.\n", "- Individual points (if they exist, then we see them as points below the bottom whisker or above the top whisker) are considered outliers. They could be outliers in the upper range as well as the lower range of our data. The significant distance between Q1 and the bottom whisker or between Q3 and the top whisker indicates potential outliers. Points below or above this distance are treated as outliers. The outlier distance is calculated as $weight * (Q3 - Q1)$ where we can manually set the `weight`, but other parameters are read from data.\n", "\n", "We use this knowledge to remove outliers from the dataset. We will manually remove outliers from the data, assuming that outliers are placed one standard deviation from Q1 (down) and Q3 (up)." ], "id": "c5d84897df0ddb98" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:59:14.330276Z", "start_time": "2025-12-21T14:59:14.304871Z" } }, "cell_type": "code", "source": [ "# Create training set without outliers\n", "\n", "q1 = np.quantile(train['dem'], 0.25)\n", "q3 = np.quantile(train['dem'], 0.75)\n", "\n", "top_limit = q3 + (q3 - q1)\n", "\n", "train_without_outliers = train[train['dem'] < top_limit]" ], "id": "a1637cb0914ea5dc", "outputs": [], "execution_count": 6 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:59:14.535877Z", "start_time": "2025-12-21T14:59:14.485768Z" } }, "cell_type": "code", "source": "train['dem'].describe()", "id": "c635d1dd59d7ceb2", "outputs": [ { "data": { "text/plain": [ "count 3447.000000\n", "mean 40.910972\n", "std 22.081570\n", "min 14.389105\n", "25% 19.806995\n", "50% 38.074829\n", "75% 55.210638\n", "max 106.866257\n", "Name: dem, dtype: float64" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 7 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:59:14.823880Z", "start_time": "2025-12-21T14:59:14.804255Z" } }, "cell_type": "code", "source": "train_without_outliers['dem'].describe()", "id": "680c3fbac5bc4ef3", "outputs": [ { "data": { "text/plain": [ "count 3410.000000\n", "mean 40.323833\n", "std 21.460107\n", "min 14.389105\n", "25% 19.746401\n", "50% 37.176926\n", "75% 54.361750\n", "max 90.490242\n", "Name: dem, dtype: float64" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 8 }, { "metadata": {}, "cell_type": "markdown", "source": [ "**Clarification**\n", "\n", "Mean and standard deviation of transformed dataset are lower, and the maximal value is different than in the raw training set. Does this transformation affect modeling? We will see in the next steps." ], "id": "16625dc7ccfd62b4" }, { "metadata": {}, "cell_type": "markdown", "source": [ "## 3. Create Variogram Clouds\n", "\n", "Now, we are going one step further, and we will transform both datasets with- and without- outliers and calculate variogram point clouds. Then, we compare both clouds." ], "id": "513026e4910d7450" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:59:15.323410Z", "start_time": "2025-12-21T14:59:15.318413Z" } }, "cell_type": "code", "source": [ "step_size = 1000 # meters\n", "max_range = 10000 # meters" ], "id": "cd581d1128483994", "outputs": [], "execution_count": 9 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:59:17.718619Z", "start_time": "2025-12-21T14:59:15.555891Z" } }, "cell_type": "code", "source": [ "cloud_with = VariogramCloud(\n", " values=train['dem'],\n", " geometries=train['geometry'],\n", " step_size=step_size,\n", " max_range=max_range\n", ")" ], "id": "1ad391e7c63167ef", "outputs": [], "execution_count": 10 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:59:23.384097Z", "start_time": "2025-12-21T14:59:21.730530Z" } }, "cell_type": "code", "source": "cloud_with.plot('box')", "id": "6fd8d2b72986a0a", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "True" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 11 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:59:26.963811Z", "start_time": "2025-12-21T14:59:25.554924Z" } }, "cell_type": "code", "source": [ "cloud_without = VariogramCloud(\n", " values=train_without_outliers['dem'],\n", " geometries=train_without_outliers['geometry'],\n", " step_size=step_size,\n", " max_range=max_range\n", ")" ], "id": "2da9a1bb44c37649", "outputs": [], "execution_count": 12 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:59:33.920589Z", "start_time": "2025-12-21T14:59:31.886245Z" } }, "cell_type": "code", "source": "cloud_without.plot('box')", "id": "66dac99338729c48", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "True" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 13 }, { "metadata": {}, "cell_type": "markdown", "source": [ "**Clarification**\n", "\n", "The processed dataset has lower semivariances than the raw readings, and both variograms have a similar shape.\n", "\n", "In the next cell, we will check a standard deviation of semivariances for each lag." ], "id": "73cac09c71caebf7" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:59:41.915438Z", "start_time": "2025-12-21T14:59:37.743033Z" } }, "cell_type": "code", "source": [ "with_stats = cloud_with.describe()\n", "without_stats = cloud_without.describe()\n", "\n", "with_stds = []\n", "without_stds = []\n", "lags = []\n", "for lag in with_stats:\n", " lags.append(lag)\n", " with_stds.append(with_stats[lag]['std'])\n", " without_stds.append(without_stats[lag]['std'])\n", "\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(lags, with_stds)\n", "plt.plot(lags, without_stds)\n", "plt.legend(['With outliers', 'No outliers'])\n", "plt.xlabel('Lag')\n", "plt.ylabel('Standard Deviation')\n", "plt.show()" ], "id": "886da806fcc8b074", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 14 }, { "metadata": {}, "cell_type": "markdown", "source": [ "**Clarification**\n", "\n", "Data cleaning brings the best outcomes to more distant lags. Why? Because those lags group the largest sets of point pairs, and outlier influence is amplified by number of pairs with those outliers.\n", "\n", "It doesn't mean that the bottom semivariogram is better, especially when we consider the fact, that closest bins are those most important. We should proceed with experiments." ], "id": "857e0c5f93fe1255" }, { "metadata": {}, "cell_type": "markdown", "source": [ "## 4. Remove outliers from the point cloud\n", "\n", "In this step, we will use `VariogramCloud` method `.remove_outliers()` to build two additional variogram point clouds from the raw and processed datasets.\n", "\n" ], "id": "649919f898ef675e" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:59:43.115693Z", "start_time": "2025-12-21T14:59:41.937792Z" } }, "cell_type": "code", "source": [ "cloud_with_rem = cloud_with.remove_outliers(\n", " method='zscore',\n", " z_lower_limit=-2,\n", " z_upper_limit=2,\n", " inplace=False\n", ")\n", "\n", "cloud_without_rem = cloud_without.remove_outliers(\n", " method='zscore',\n", " z_lower_limit=-2,\n", " z_upper_limit=2,\n", " inplace=False\n", ")" ], "id": "c309509f390f15f1", "outputs": [], "execution_count": 15 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T15:00:07.451460Z", "start_time": "2025-12-21T14:59:55.928563Z" } }, "cell_type": "code", "source": [ "fig, ax = plt.subplots(nrows=2, ncols=2, figsize=(16, 14))\n", "\n", "ax[0, 0].boxplot(list(cloud_with.semivariances.values()))\n", "ax[0, 0].set_title('Raw dataset')\n", "ax[0, 0].set_xlabel('Lag number')\n", "ax[0, 0].set_ylabel('Semivariance value')\n", "\n", "ax[0, 1].boxplot(list(cloud_without.semivariances.values()))\n", "ax[0, 1].set_title('Outliers removed from semivariogram')\n", "ax[0, 1].set_xlabel('Lag number')\n", "ax[0, 1].set_ylabel('Semivariance value')\n", "\n", "ax[1, 0].boxplot(list(cloud_with_rem.semivariances.values()))\n", "ax[1, 0].set_title('Cleaned dataset using z-score for outliers detection')\n", "ax[1, 0].set_xlabel('Lag number')\n", "ax[1, 0].set_ylabel('Semivariance value')\n", "\n", "ax[1, 1].boxplot(list(cloud_without_rem.semivariances.values()))\n", "ax[1, 1].set_title('Outliers removed (1) from semivariogram and then using z-score (2)')\n", "ax[1, 1].set_xlabel('Lag number')\n", "ax[1, 1].set_ylabel('Semivariance value')\n", "\n", "plt.show()" ], "id": "f3ff6250d27576", "outputs": [ { "data": { "text/plain": [ "
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Q/OlPf0pqXDYJ8x9G9LwEkI3CNu+jN6WNetmpUPndd9/Z77//7rba1/EgTmkjic67HfT5ucMkCL3wED58NwIA0qpUqVJuDqlVq1ZZgwYNbMyYMbZ8+XK31b6O67ziguTdd99Nalw2CfOw8UTnsmTOSwB+oeHRZcuWjZv3UftBHTYdO1XNhg0b8j3vHQ/alDZhv8EYVnubwqiwcUA6xK+UAABAGgwbNsxtNQSrR48e0ePqcdm/f//o+SCJLczVqFHDTjnlFLcIwObNm+2DDz6w3377bY+4oNCd+0QS4CDe4a9Xr15S4wAgHfM+5qWf4d7xIP6ODvMUH/TCA5ANciJB/CspyXSnrXLlyrZ+/XqrVKlSpi8HAAJDw9A0BEs9GTTHpYaKB63HZX7zOeYt5uXdD9qvZv0O3Vtvllj6HavftUHSqlUrmzdv3n7jWrZsaXPnzk3ptZDPZD/eQ6T6d7JWmtXvIA2VHjp0qFtET3NRa6oXjYzQ77Jt27YF7nf1wQcfnNDPYP1M//777y1IlIMkknfovQ9ST7yCzLMdtLwsrG0Pa7v91vbC5jL0vAQAZIz++OnTp4+Fpa3enGFK/kuXLm0lS5a0nTt32vbt2+PigqZFixb21VdfJRQXND/++GNS4wAgVR588EH3R6v+mNRNlyuuuMId081F7Tdq1Mg2btzojt18880WJD/99FNS47JJmKd2AZA96PsNAEAatGnTJm5fBUtNfh9buMwvLgg0ND6ZcdmEeaUAZIvXX3/dbVW8rFq1qtufPXu222rf6yHjxQVJogsSBX3hIgDwq4wWLzXp79/+9jdr2rSpmwRad/XuvPPOuLs6+lwrz2oie8Wcdtpp9sMPP8Q9j1aCu/jii90v1CpVqthVV121x2po3377rR1//PFuKETDhg0DOVcLAMC/6tSpk9S4bLJ27dqkxmWTChUqJDUOAFI9rHDZsmXu827dutmsWbPcVvu//PJLXFyQ0PsQAPwto8XLf/zjH/boo4+6Vew0x4j2VVR86KGHojHa19CExx57zL744gu3uEHnzp3dXCseFS7nzJlj7733npuTZdq0aXbNNdfEjanv1KmTNW7c2GbMmOEmm77jjjvcyrYAAKRDzZo1kxqXTYoXL57UuGxSsWLFpMYBQKrob6zYv5+effZZNxpA29h5i2PjAABIh4zOefnpp5/aOeecY126dHH7TZo0sRdffNG+/PLL6J2tkSNHugmiFSf65akJpDVc4cILL3RFz4kTJ9r06dPt8MMPdzEqfp511ll23333udU7X3jhBdfF/6mnnnJziR1yyCH2zTff2AMPPBBX5AQAIFXefvvtpMZlkxUrViQ1LptogYtkxgFAqqijiEd/l51yyimuV7hGtH3wwQf5xgEAEPiel8cee6xNnjzZFixY4PY1LOHjjz+2M8880+0vWrTIVq5c6YaKe7Qq0VFHHWWfffaZ29dWQ8W9wqUoXqumeb9YFXPCCSfELYKgO4bz58/Pd4ia5h/T3cXYDwAAikJTnCQzLpuEed7HXbt2JTUOAFJl8eLF0c/XrFlj48ePt3Hjxrmt9vOLC4pEh8IHccg8AGSDjBYvb731Vtd7smXLlm7F1cMOO8ytOqth4KLCpainZSzte+e0rVWrVtz5EiVKWLVq1eJi8nuO2K8R65577nFFUu9Dc2QCAFAUFLEAAH6m9QeSGQcAQCCKl6+88oob0v3Pf/7TZs6cac8884wb6q1tJg0cONDWr18f/Vi6dGlGrwcAgkpTemh6kOuvv95tWcUTAIDMePLJJ5Mal01YsAcA/C2jxcv+/ftHe1+2bt3arWTXt29f1/MxdsXVvPNAad87p+3q1av36LWiYXexMfk9R+zXiFW6dGm3cnnsBwAguQYMGGDlypVzP/e1cJu22tdxAACQXrGLpiYjDgCAQBQvt2zZ4uamzLvSqDfnVdOmTV1xUfNiejT/pOayPOaYY9y+tuvWrXOriHs0obSeQ3NjejFagXznzp3RGK1MftBBB1nVqlVT3k4AQDwVKIcPH267d++OO659HaeAiaCoX79+UuMAIFXuvffepMYBABCI4uUf/vAHu+uuu9zKqj///LO99tprbgXwP/7xj9EJkTUH5tChQ+3NN9+02bNn26WXXupWED/33HNdTKtWreyMM86wq6++2q1S/sknn1jv3r1db07FyV/+8he3WM9VV11lc+bMsZdfftlGjRpl/fr1y2TzASCUNDRcBcp90XmGkCMIfv3116TGAUCqbNu2Lfo3mBY11d9bGh2nrfa9xWq8OAAA0qWEZZCGHPztb3+znj17uqHfKjb26NHDBg8eHI1R75vNmzfbNddc43pYHnfccTZx4kQrU6ZMNEbzZqpgeeqpp7qenOeff749+OCD0fNadOfdd9+1Xr16WYcOHaxGjRrua+g5AQDppZtUHv0hpKk5NIeUPlfvem8+KcVpahEgmyVahKdYD8Av9HtYP5N+/PFHW758eXSf+R4BAJmSE+G30H7pj2kVQLV4D/NfAkDRNG7c2JYsWbLfuEaNGtnixYstKLweK4kI2q9m2u6PtpPPZD/eQ6SSfu8mslBpw4YNE/o9nk389LM63cLa9rC2O8xtD2u7/db2wuYyGR02DgAIn5UrV8btH3300W5uY233FQcAAFJHo+GSGQcAQLJQvAQApFWJEv+bsWTVqlV2wQUXuDmPtdV+fnEAAGTCpk2b3Hz8bdq0cVvtB9Xll1+e1DgAAJKFvwwBABkbtlC7du24c3379s03DgCAdDvyyCNt+vTp0X0tHlqxYkU74ogj3EKhQXP66acnHKfXAgCAdKHnJQAgrUqWLJnUOAAAUlm4bNCggTVv3txtRcd1Pmh++eWXpMYBAJAs9LwEAKRVvXr1bN26dQnFAQCQbhoaHtvjctmyZXvE6LziKlSoYEGR6JD4IA+dBwD4Ez0vAQBpde655yY1DgCAZOrWrVvcFCbanzVrltvGTmkSGxcEO3fuTGocAADJkhMJ2hrwPlrKHQCwJ/0c3bhx437jNK+Yfv4GRUHm8Azar2ba7o+2k89kP97D9DjkkEPs+++/d/9/t2zZYmXKlIme27Ztm5UrV879fz344INtzpw5FhR++nmVbrQ9fG0Pa7vD3PawtttvbS9sLsOwcQBAWiVSuCxIHAAAybRmzRq3bdKkiRUrVsxGjhxpCxcutGbNmlnPnj2tUaNGtnjx4mgcAABILYqXAAAAAPBf1atXt1WrVtmiRYtcL8vdu3dHz918883RfcUBAIDUY85LAAAAAPivFi1aRD9XofKoo46ySZMmuW1sITM2DgAApA5zXiaA+YUAIJhzrqRTWNsttD275xiCf/Aepsfvv/+eUK9KDRuvVq2aBYWffl6lG20PX9vD2u4wtz2s7fZb2wuby9DzEgAAAAD+69lnn01qHAAAKBqKlwAAAADwX1qcJ5lxAACgaFiwBwAAAAD+q169enH7scPaNNxtb3EAACA16HkJAAAAAP81bdq0uH0VLL2PfcUBAIDUoOclAAAAAPzXJ598ErfIQfv27e3AAw+0H3/80WbOnBldzCA2DgAApA7FSwAAAADIhwqVM2bMcB8AACAzKF4CQIbt2LHDRo8e7Sb+b9asmfXs2dNKlSqV6csCACCUGjRoYHPnznWfV61a1Ro1auR+V+t385IlS2zt2rXROAAAkHoULwEggwYMGGD333+/5ebmRo/ddNNN7mPYsGEZvTYAAMLo2GOPjRYvVaj0ipX5xQEAgNRjwR4AyGDhcvjw4XGFS9G+jus8ACC17rjjDjevYexHy5Yto+e3bdtmvXr1surVq1uFChXs/PPPt1WrVsU9h3rjdenSxcqVK2e1atWy/v37265du+JipkyZ4uZOLF26tJs/8emnn05bG1Ewa9asSWocAAAoGoqXAJABGn5233337TNG5xUHAEitQw45xFasWBH9+Pjjj6Pn+vbta2+99ZaNHz/epk6dasuXL7fzzjsven737t2ucKmf159++qk988wzrjA5ePDgaMyiRYtczMknn2zffPON9enTx7p3726TJk1Ke1uxfzVr1kxqHAAAKBqKlwCQAaNGjYquVqpeOmPHjnV/MGurfdF5xQEAUqtEiRJWp06d6EeNGjXc8fXr19uTTz5pDzzwgJ1yyinWoUMHGzdunCtSfv755y7m3Xffte+//96ef/55a9eunZ155pl255132iOPPBK9AfXYY49Z06ZN3TQhrVq1st69e9uf/vQnGzFiREbbjfz9+uuvSY0DAABFQ/ESADLg9ddfd1sNQVSPnE2bNtldd93lttrX8dg4AEDq/PDDD1avXj074IAD7OKLL3bDwEUrTO/cudNOO+20aKyGlGsBl88++8zta9u6dWurXbt2NKZz5862YcMGmzNnTjQm9jm8GO859mb79u3ueWI/kHoqYCczDgAAFA0L9gBABqiXpeiP5cqVK8fNjaa50tRDR39Me3EAgNQ46qij3DDvgw46yP3M/fvf/27HH3+8fffdd7Zy5Uq3wnSVKlXiHqNCpc6JtrGFS++8d25fMSpGbt261cqWLZvvtd1zzz3uepBezZo1S2ocAAAoGnpeAkAG1K1b120XLFhg1apVixs2rn0VLmPjAACpoWHef/7zn61NmzauN+Q777xj69ats1deeSXTl2YDBw50Q9e9j6VLl2b6kkIh72JLRY0DAABFQ/ESADKga9eucX/8PPzww24hB21j/xiKjQMApJ56WbZo0cJ+/PFHNyxY81aqmBlLq417Q4a1zbv6uLe/v5hKlSrttdelaGVyxcR+IPW0QFMy4wAAQNFQvASADC0O4fn9999t1qxZNm/ePLfVfn5xAIDU09zDCxcudD3ftUBPyZIlbfLkydHz8+fPd3NiHnPMMW5f29mzZ9vq1aujMe+9954rNB588MHRmNjn8GK854C/LFu2LKlxAACgaCheAkAGeItBJCsOAFA4N998s02dOtV+/vlnt4r4H//4RytevLhddNFFbk7iq666yvr162cffvihW8DniiuucEXHo48+2j2+U6dOrkjZrVs3dwNq0qRJNmjQIOvVq5frOSnXXnut/fTTTzZgwAB3o2r06NFuWHrfvn0z3HrkR0P0kxkHAACKhi49AJABWqgnmXEAgMJR7zkVKtesWWM1a9a04447zj7//HP3uYwYMcKKFStm559/vlv9W/NiqvjoUaFzwoQJdt1117miZvny5e2yyy6zIUOGRGO0CNvbb7/tipWjRo2yBg0a2BNPPOGeC/7DnJcAAPhLTiQSiWT6IvxOK0HqzrvurjLXEIBk0FyW+kNW9Aey5rvUH7ybN292vXt+/fVXd65Lly7uj+IgycnJSTg2SL+iwtpuoe3+aDv5TPbjPUyPqlWr7jHP6d7mR127dq0FhZ9+XqUbbQ9f28Pa7jC3Pazt9lvbC5vLMGwcADJAQw9jf5mceuqpNnToULeN/eUSGwcAAFKvYsWKSY0DAABFw7BxAMgADT2UWrVquQV6evToEbdIj3pjqvelFwcAQKZoxXUNlddCRs2aNbOePXtaqVKlLKgS7XUStJ45AAD4FcVLAMiAgw46yM2pptVp1WX+qaeeiv5ReOWVV7qu9F4cAACZokWGNO9n7PyO/fv3d/N3Dhs2zIJINxWTGQcAAIqGYeMAkAFa+CF2zqyvvvrKrWCrrfbziwMAIN2Fy+HDh1v16tVt7NixtmLFCrfVvo7rfBBt2bIlqXEAAKBoWLAnAUyODiAVQ/DKlCmzzyFnmvty27ZtgRua56cJo9MprO0Wfa8nMgVC6dKl3fd8kPjpfSefyX7pfA/1e0oLyalQqRXZNaWJR70wtWK6VmjXQnP8ngqGsLZbaHv42h7Wdoe57WFtt9/azoI9AJBF9IfezTffvM8YnQ/aH4QIp0TnbmWOV8A/NMelipRaTC62cCnaHzJkiDuvOAAAgFSieAkASKvixYsnNQ4AkHyah1m6du2a73nvuBcXJOXKlUtqHAAAKBqKlwCQARqOpwUQateu7Ybc6fPevXu7rfZ1XJ8rLmjy9uApaly2KFu2bFLjACCVtICcTJgwId/z3nEvLkgaNmyY1DgAAFA0FC8BIMPD8dRzo0+fPvbQQw+5rfaDPBwvNzc3qXHZ4uCDD05qXDapUKFCUuMApF7Pnj3dTaRBgwbFrTQu2h88eLA7r7igqVq1alLjAABA0QSrWwsAZIkwD8fbvXt3UuOyxW+//ZbUuGzCyr1A9tGcy3379nWritevX99OOukkd3NN/0+nTJliq1evtv79+wdybuZEFysI2oIOAAD4FcVLAMjwcLxLL73U9bBUoVLH1YslyMPxihUrllCvSsUFydq1a5Mal03C2tsWyHbDhg1zhcrp06fbK6+8EnfuiCOOcOeD6Mcff0xqHAAAKJqcCLcMU7aUOwDsjeayLF++vOuxsm3btriijYp2ZcqUcTGa/zJovVr081Q/V/dHP2/1czco9D7u3Lkzul+6dGn3vuv9jl1lu2TJkoGb6zQnJyfh2KClJX5qO/lM9kv3ezhgwADX87JmzZp28sknu99b+r304Ycf2q+//up6XgaxgOmn/7fpFNZ2C20PX9vD2u4wtz2s7fZb2wubywSrWwsAZFEh67DDDnPD7/QLolu3bvb111+7rfZ1XOeDVrgsyC/PgvySzUYqWKqYGVu4BAA/Liy3fPlye/nll+2pp55yW+0HeWE5AADgLxQvASAD9MeeipWaP0w975577jlXrNS2ePHi7rjOB/GPQvUqTWZcttB7msw4AEjXwnJamCeW9oO8sBwAAPAXipcAkME/CkeNGuV6War3Su/evd1WQ/K0DeofhTVq1EhqXLZo2bJlUuMAIF0Ly+lG2siRI+366693W+0HeWG5vDS8rXHjxm4LAADSjwV7ACDDfxRqaHifPn3izgf5j8Jjjz3W5syZk1BckJxzzjn2xRdfJBQHAJnmLRh3+eWX2+TJk90NNY/mutQcmLFxQaK5h2PnKNa8XPnNwaw4AACQevS8BIAMrzaenyCvNn7wwQcnNS5bbNy4MalxAJBKPXv2dHMPT5o0yapVq2Zjx461FStWuK3233vvPXdecUFTtWrVpMYBAICioXgJABmgP/Y0Z9igQYPcsPHY4XjaHzx4sDsfxD8Ku3fvntS4bJHoirxBXLkXQPbLzc2NfgTd4YcfntQ4AABQNBQvASADNFS8b9++tmrVKitfvrz7/OGHH3Zb7eu4Pg/iauOPPvpo9PPq1atb27Zt3TyP2mo/v7gg2L17d/RzLdIUK3Y/Ng4AMkVzLkciEevcubP9/vvv1qNHD6tfv77bar9Tp07ufBDnZm7Xrl1S4wAAQNFQvAQApNUbb7zhtieeeKKtWbPGZs2aZfPmzXNb7Z9wwglxcUGUt+dSGHoyAcgu3pzLTz/9dHQhudiF5caNGxcXFyQPPfRQUuMAAEDRsGAPAGSAVmrVH4C1a9e2n376ycaMGeP+ANQcl9dcc40dcMAB7vzQoUMD2ftyX3/w6vUIonr16tny5csTigMAP83NrGk88i4sF+S5mZmjGAAAf6HnJQBkgIbZaeVWFSfLlSvn/ihUDw5ttT9kyBB3PojD8bzVtJctW5bvee940Fbd1oq9yYwDgHTNzRy70rhoP8hzM8fS4kS6qVSlShW31T4AAEgvipcAkMFeh127ds33vHc8iMPxrrrqqrj90qVLuz+Atd1XXLZ77bXXkhoHAOmam7lBgwZuhIB6j2ur/SDPzRxL83uq3evWrXNb7QMAgPSieAkAGR6Ol58gD8fL27Nw+/btrhePtvuKy3aJFqKDWLAGkJ2GDRtm/fv3d/MRxy7Yo30d1/kgKlmyZFLjAABA0eREtEwg9mnDhg1WuXJlW79+vVWqVCnTlwMgIHNealVxra6tYdLqeehRIU+9WvTHoRZFCFqvFg27W7FixX7j6tatm9AckdkiJycn4dig/Wqm7f5oO/lM9svUe6jfWZrGxJubWUPFg/a7KVbVqlVdT8v90VDytWvXWlD46edVutH28LU9rO0Oc9vD2m6/tb2wuQw9LwEgA8I8HK9Ysf/96tEvrrZt21qrVq3cVvv5xQEAMke/i2LnZg7i76ZYhxxySFLjAABA0bDaOABkiDfc7v7773fD8DzFixcP9HC82F4qmzZtslmzZsW1Pb84AADS5bPPPktqHAAAKBq6tQBAFnXjD4LYuS13794ddy52P+8cmAAApENubm5S4wAAQNFQvASADBkwYIANHz7catSoYWPHjnXzQGqrfR3X+SCKnd8zGXEAAAAAgOBiwZ4EMME9gGQL84I9p512mk2ePHm/caeeeqq9//77FhR+mig73Wh7dk+QDv/gPczM/9vY11rvQVB/Zvnp51W60fbwtT2s7Q5z28Pabr+1nQV7ACCLaNVWFSmHDh26Rw9D7Q8ZMsSdV1zQaJ7LvPIr0OYXBwBAuukPLe8DAACkH8VLAMiAhQsXum3Xrl3zPe8d9+KCZN68efn2RE0kDgAAAAAQLhQvASADmjVr5rYTJkzI97x33IsLEg2FT2YcAADJVLZs2aTGAQCAoqF4CQAZ0LNnTzc8fNCgQW54eCztDx482J1XXNCULl06qXEAACRT/fr1kxoHAACKhuIlAGSA5njs27evrVq1yi3OM2bMGFu+fLnbal/HdT5oi/VIuXLlkhoHAEgtTe0xcuRIu/766902v6k+gmTlypVJjQMAAEUTv0oEACBthg0b5rYjRoywHj16RI+rx2X//v2j54Mm0RXsgrbKHwBkowEDBrjfU7GjBPQ7SjfYgvp7atu2bUmNAwAARUPPSwDIIP3hp7kd9Ydh79693Vb7Qf2DUJjzEgCyp3A5fPhwq169uo0dO9ZWrFjhttrXcZ0PorzTuRQ1DgAAFE1OhK4t+7VhwwarXLmyrV+/3ipVqpTpywGArFatWjVbu3btfuOqVq1qv//+uwVFTk5OwrFB+9VM2/3RdvKZ7JfO91BDw8uXL+8KlcuWLXOjAmKLdpriZM2aNe5GU9CmOPHT/9t0Cmu7hbaHr+1hbXeY2x7Wdvut7YXNZeh5CQAZFra5xPQLK5lxAIDkGz16tCtSDh06NK5wKdofMmSIO684AACAVGLOSwDIIA25u//++y03Nzd67KabbnIfQR06vnv37qTGAQCSb+HChW7btWvXfM97x704AACAVKHnJQBkeC6x2MKlaD/Ic4kBAPyvWbNmbjthwoR8z3vHvTgAAIBUYc7LBDBHFIBk09DwMmXKuDlFatasafXr13erlurYL7/8Yr/++qubm0THmEssGMLabqHt2T3HEPyDOS/D9/82ncLabqHt4Wt7WNsd5raHtd1+aztzXgJAFnnwwQfdL4ZixYq5QuU333xj8+bNc1vt67jOKw4AgHRTQbJv3762atUqV6gcM2aMLV++3G21r+M6H7TCJQAA8B/mvASADHj99dejQ8R1J0w9L9XrUj0t1fPSG0quuJtvvjnDVwsACCNv7uURI0ZYjx49osfVC7N///6BnZtZPUESWTSOHswAAKQHxUsAyIDYxWjUw1JD8vYXBwBAuqlAqRXHtaq4FufRHJc9e/YMdI/LRAqXBYkDAABFQ/ESADJAc3zEOvzww90fhPrD8KuvvtprHAAA6aZCZZ8+fTJ9GQAAIKQoXgJABuSdCFkFy9ii5d7iAAAAAAAIE4qXAJABa9euTWocAACpXHk8TMPGAQCAv7DaOABkQJUqVZIaBwBAKgwYMMDKly/vVhZ/+OGH3Vb7Og4AAJAOFC8BIAO0wnis0qVLW8mSJd12X3EAAKSLCpTDhw+36tWr29ixY23FihVuq30dp4AJAADSISfChGoJrSRYuXJlt3BGpUqVMn05AAKgcePGtmTJkv3GNWrUyBYvXmxBUpCCbJB+RYW13ULb/dF28pnsl873UEPF1cNShcply5ZZiRL/m21q165d1qBBA1uzZo1t3rw5cEPI/fT/Np3C2m6h7eFre1jbHea2h7Xdfmt7YXMZel4CQAboj8JkxgEAkEya41JFyqFDh8YVLkX7Q4YMcecVBwAAkEoULwEgA1q3bp3UOAAAkkmL80jXrl3zPe8d9+IAAABSheIlAGTAokWLkhoHAEAyaVVxmTBhQr7nveNeHAAAQKow52UCmCMKQJDnHUm3sLY9rO0W2p7dcwzBP5jzMnz/b9MprO0W2h6+toe13WFue1jb7be2M+clAAAAgKRQQbJv3762atUqV6gcM2aMLV++3G21r+M6H7TCJQAA8J/42bcBAAAAwMyGDRvmtiNGjLAePXpEj6sXZv/+/aPnAQAAUoniJQDf0BA1rVqqyf81h1bPnj3p0QEAQAapQKkVx/n9DAAAMoXiJQBfGDBggA0fPjzumIaj0bMDAIDMUqGyT58+mb4MAAAQUsx5CcCXhUuPjus8AAAAAAAIH4qXADI+VHxvhUuPzisOAAAAAACEC8VLABn1wAMPJDUOAAAAAAAEB8VLABn12GOPxe1369bNZs2a5bb7igMAAAAAAMHHgj0AMmrNmjXRzxctWmRHH320vfLKK1alShW337Rp0z3iAAAAAABAOFC8BJBRu3fvjn7uFSpl1apVcfuxcQAAAKlSsmRJ27lzZ0JxAAAg9Rg2DiCjKlasmNQ4AACAoqhZs2ZS4wAAQJYXL3/55Re75JJLrHr16la2bFlr3bq1ffXVV9HzkUjEBg8ebHXr1nXnTzvtNPvhhx/inuP333+3iy++2CpVquSGml511VW2adOmuJhvv/3Wjj/+eCtTpow1bNjQhg0blrY2Ati7Nm3aJDUOAACgKNatW5fUOAAAkMXFy7Vr11rHjh3dkIv//Oc/9v3339v9999vVatWjcaoyPjggw+6xTq++OILK1++vHXu3Nm2bdsWjVHhcs6cOfbee+/ZhAkTbNq0aXbNNddEz2/YsME6depkjRs3thkzZtjw4cPtjjvusDFjxqS9zQDiffPNN0mNAwAAKIotW7YkNQ4AABRNTkRdGzPk1ltvtU8++cQ++uijfM/r0urVq2c33XST3Xzzze7Y+vXrrXbt2vb000/bhRdeaHPnzrWDDz7Ypk+fbocffriLmThxop111lm2bNky9/hHH33UbrvtNlu5cqWVKlUq+rVff/11mzdv3n6vU8XPypUru6+t3p0Akqd48eKWm5u737hixYoFat7LnJychGMz+GM6JcLa9rC2W2i7P9pOPpP9eA/D9/82ncLabqHt4Wt7WNsd5raHtd1+a3thc5mM9rx88803XcHxz3/+s9WqVcsOO+wwGzt2bPS8VhpWwVFDxT1q5FFHHWWfffaZ29dWQ8W9wqUoXoUO9dT0Yk444YRo4VLUe3P+/Pmu92de27dvdy9o7AeA1ND/1WTGAQBQFPfee69L8vv06RM9phE/vXr1ctMcVahQwc4//3y3sFysJUuWWJcuXaxcuXIur+3fv7/t2rUrLmbKlCnWvn17K126tB144IHuZjwAAAD2LaPVgJ9++sn1imzevLlNmjTJrrvuOrvhhhvsmWeecedVuBT1tIylfe+ctkoQY5UoUcKqVasWF5Pfc8R+jVj33HOPK5J6H5ojE0BqtGvXLqlxAAAUlkbyPP7443vMs9y3b1976623bPz48TZ16lRbvny5nXfeedHzGhmgwuWOHTvs008/dbmsCpOatz32prxiTj75ZDcVioqj3bt3dzmw36ldI0eOtOuvv95ttQ8AABCK4qWGiuru89133+16XWqeyquvvtrNb5lJAwcOdF1YvY+lS5dm9HqAIMt786GocQAAFIYWe9Q86hoFFDv/unLBJ5980h544AE75ZRTrEOHDjZu3DhXpPz8889dzLvvvuvmbn/++efdzbYzzzzT7rzzTnvkkUeihT7lt02bNnXzu7dq1cp69+5tf/rTn2zEiBHmZwMGDHBzzquA+/DDD7ut9nUcAAAg8MVLrSCu+SpjKZnTsBupU6eO2+YdlqN975y2q1evjjuvITpagTw2Jr/niP0asTSUR2PvYz8ApMaaNWuSGgcAQGFoWLh6RsZOVyRa7HHnzp1xx1u2bGmNGjWKm8aodevWcSN9NEWRph7SopJeTN7nVoz3HPnJ9FRGKlBqoUsNl1dRd8WKFW6rfR2ngAkAAAJfvNRK45p3MtaCBQvcquCiu9MqLk6ePDl6Xkmb5rI85phj3L6269atc4ml54MPPnC9OjU3phejFciVeHq0MvlBBx0Ud2cd8IOwDc1KZNGsgsQBAFBQL730ks2cOdNNHZSXt+Cj5ljf1zRG+5uiaG8xym23bt2a73Vlcioj5R/qFapr1CKYGuKuvFxb7eu4zgc9TwEAACEvXmrYiYbbaNj4jz/+aP/85z9tzJgx7s63eJOlDx061C3uM3v2bLv00kvdCuLnnntutKfmGWec4Yabf/nll271cg3D0UrkipO//OUvLum86qqr3N3vl19+2UaNGmX9+vXLZPOBPagHQ9myZeOGZmk/yD0bNm/enNQ4AAAKQtMD3XjjjfbCCy9YmTJlzE8yOZXR6NGj3Wgm5eGaTz6W9ocMGeLOKw4AACCV4jORNDviiCPstddec4mZEiD1tFRPM8035FHRRkULzYepHpbHHXecTZw4MS65VLKpguWpp57qViTWCpAPPvhg9LzuVGsuIhVFNU9RjRo13ATqek7AL7yhWXmpF7F3fNiwYRY0eVdiLWocAAAFodE7moJI87DHLsCjUTu6kagFddS7UHlobO/LvNMY6Sb6vqYo2ts0RpqeSDcq86OpjPSRCQsXLnTbrl275nveO+7FBYk6UEQikYTiAABAwIuXXuKzt6TISwpU2NTH3mhlcfXa3BetGvnRRx8V6VqRPvojQXfylRA3a9bMevbs6XrPBrm999133z5jdF69H4L8OgAAkG66+a3RPbGuuOIKN6/lLbfc4oZqlyxZ0k1jpBvkommPNEd77DRGd911lyuCegvMaYoiFSa9+d0V884778R9HcV4z+E3yr9kwoQJbqh4XjoeGxckmpdfK8onEgcAAAI+bBzITxhXtVRP4f3d4df52B7FAACg6CpWrGiHHnpo3IfyDi1Ko881gkdTD2m6oQ8//ND11FRxU0XHo48+2j1Hp06dXJGyW7duNmvWLNdbc9CgQW7Uj9dz8tprr7WffvrJ5TOax1k3aV955RWX5/iRbhxreLjakXf0g/Y1iknnFRc0ev+TGQcAAIqG4iV8JayrWmr6hGTGAQCA5NHCNBoppJ6XJ5xwghsC/uqrr0bPFy9e3PVE1FZFzUsuucTN0x47ckjTI7399tuut2Xbtm3t/vvvtyeeeMKtOO5HGumhwqqGtjdo0MDNS6/eiNpqX8d1PogjQrQgUTLjAABA0eREEpnQJeS0CqTuumuidA3/QeqGTns9HZQMxk4Orzv8SpTXrFnj5kANWqLcuHFjN/xsfxo1amSLFy+2ICnIfFFB+nEV1naHue1hbbfQdn+0nXwm+2XiPdSNYxVvY3tfKkdT4TKIc3GL5tBPdM5LzU0eFH76eZVutD18bQ9ru8Pc9rC2229tL2wuQ89L+EaYV7XUf+BkxgEAACSDCpS6cawCphbI1Fb7QS1cFuQPt6D9cQsAgF9lfMEewBPmVS23bduW1DgAAIBk0YiXPn36ZPoyAABASNHzEr5c1TI/QV7VkuIlAADw89Q+I0eOtOuvv95ttR9kGjaezDgAAFA0zHmZAOaISo8wz3nppzko0i2sbQ9ru8Pc9rC2W2h7ds8xBP9gzsv00Gu7cePGhFaqD9KUPn76eZVutD18bQ9ru8Pc9rC2229tZ85LZL0wr2oJAADgNypcDh8+3N1YHjt2rK1YscJtta/jOh9EulGezDgAAFA09LxMAD0V0iuMd/j9dCck3cLa9rC2O8xtD2u7hbZn951u+Ec638PYETE//fSTu5msecc1fc8111xjBxxwACNiAvYzK6ztFtoevraHtd1hbntY2+23thc2l2HBHviOCpRacVyrintJcs+ePQOXGAMAAPiV8jDdSG7Xrp37IyP2pnL//v3t5JNPtvfee8/FsZgPAABIJYaNw5d0t3/q1KnRj6BPDA8AAOAnuoEskyZNynfYuAqXsXEAAACpQs9L+M6RRx5p06dPj+7Pnj3bTYh+xBFH2JdffpnRawMAAAiDRo0aua2GdMUupNi9e3e7/PLLrVq1am5RGy8OAAAgVeh5Cd8WLjt06GAXXnih24qO6zwAAADSI2jzfiWiWLFiSY0DAABFw29c+MamTZuihcvixYvbjBkz7KWXXnJb7YvOKw4AAACps2TJErdV78oGDRq4BXuWL1/uttrX8di4IPHyzmTFAQCAoqF4Cd/o1q1b9PMaNWrEza2k/fziAAAAkHxaMFE6d+7sVhXv0aOH1a9f322136lTp7i4INm9e3dS4wAAQNFQvIRv/PDDD26rOZTmzZtnb7/9tkuMtdW+jsfGAQAAIDV69uzp5rn85ptvbP369TZixAjr3bu322p/1qxZ7rzigoZh4wAA+Au/ceEbOTk5brtt2zarWrWqvf76626xHm21r+OxcQAAAEiNUqVKWd++fW3VqlV2wAEHWLly5WzgwIFuq30d13nFBc2uXbuSGgcAAIqG1cbhG8cee6x99913tmXLFleg1NCkMmXKuKLlL7/84o57cQAAAEitYcOGua16W2q4uEc9Lvv37x89DwAAkEoUL+EbTZo0iVvZctmyZfuNAwAAQOqoQDl06FAbPXq0LVy40M1xqaHiQexxCQAA/IniJXzjs88+S2ocAAAAik6Fyj59+mT6MgAAQEgx5yV8Q3fzkxkHAAAAAACA7EbxEr6xZs2apMYBAAAAAAAgu1G8hG/k5uYmNQ4AAAAAAADZjeIlfGPXrl1JjQMAAAAAAEB2o3gJ32jevHlS4wAAAAAAABDS4uWPP/5okyZNsq1bt7r9SCSSzOtCCNWoUSOpcQAAINjIR9Njx44dNnLkSLv++uvdVvsAAAC+LV5qsZTTTjvNWrRoYWeddZatWLHCHb/qqqvspptuSsU1IiRYsAcAACSCfDR9BgwYYOXLl7e+ffvaww8/7Lba13EAAABfFi+VsJQoUcKWLFli5cqVix6/4IILbOLEicm+PoTIypUrkxoHAACCiXw0PVSgHD58uFWvXt3Gjh3risTaal/Hg1rArFChQlLjAABA0ZQo6APeffddNzynQYMGe8xDuHjx4iJeDsIs0aFeDAkDACDcyEdTT0PDR4wYYbVr17Zly5a5YrF0797dLr/8cvfa6/zQoUOtVKlSFiSbNm1KahwAAEhzz8vNmzfH3eH2/P7771a6dOkiXg7CLCcnJ26/cePGdvbZZ7vtvuIAAEC4kI+m3ujRo23Xrl2uOOkVLj3aHzJkiDuvOAAAAF8VL48//nh79tln4wpJubm5NmzYMDv55JOTfX0IEd3Zj6WeE2+++eYePSjyxgEAgHAhH029hQsXum3Xrl3zPe8d9+IAAAB8M2xcSeGpp55qX331lRtOorlu5syZ4+50f/LJJ6m5SoQCQ3QAAEAiyEdTr1mzZm47YcIEN1Q8Lx2PjQMAAEiVnEghJhBcv369W21w1qxZrpDUvn1769Wrl9WtW9eCaMOGDVa5cmXX7kqVKmX6cgKrdevW9t133+037tBDD7XZs2dbkBRkKHzQ5vwMa9vD2u4wtz2s7Rba7o+2By2fCVs+mu73UEVhrSquxXl++uknGzNmjOtlqWLlNddcYwcccIBb9V1D+IM256Wf/t+mU1jbLbQ9fG0Pa7vD3PawtttvbS9sLlPgnpeiL3TbbbcV5qHAXjVq1Cih4qXiAABAuJGPppYKklrVXauKq4gZS8elf//+gStcAgAA/ylw8XLatGn7PH/CCScU5XoQYjt37kxqHAAACCbyUQAAgPAo8LDxYsWK7bML6u7duy1ogjbMyq8qVqyY0HyWFSpUsI0bN1qQ+Kkbd7qFte1hbXeY2x7Wdgttz+5hOn4Uxnw0U8PG1bNy69atcd+feq3Lli3rYhg2HpyfWWFtt9D28LU9rO0Oc9vD2m6/tb2wuUyBVxtfu3Zt3Mfq1att4sSJdsQRR9i7775b0KcDCvwfqiD/8QAAQPCQj6be6NGjbdeuXbZlyxarVauWjR071lasWOG22tdxnVccAACAr4aNq0Ka1+mnn+7uuPbr189mzJiRrGtDyBx33HH2n//8J6E4AAAQXuSjqbdgwQK3rVGjhi1btsxKlPj/fzZo5fHLL7/c6tSp4xbs8eIAAABSpcA9L/emdu3aNn/+/GQ9HULo2GOPTWocAAAIF/LR5FEvSznzzDOjhUuP9s8444y4OAAAAN/0vPz222/3GA+vpOXee++1du3aJfPaEDJvvfVWwnGDBg1K+fUAAAB/Ih9NPfWsFA3H1/Dw2AKm9idNmhQXBwAA4JvipRJCzTmYdxLPo48+2p566qlkXhtCZtasWUmNAwAAwUQ+mnoHHXSQ2/7666/WoEEDGzJkiHXt2tUmTJhggwcPtt9++y0uDgAAwDerjS9evHiP1R5r1qxpZcqUsaAK0uqcfuanFbDSjbaHr+1hbXeY2x7Wdgttz+7VHf0ojPloJlcb1+fqbelRL0zvOKuNB+dnVljbLbQ9fG0Pa7vD3PawtttvbS9sLlPgnpeNGzcu6EOAhBQvXtx2796dUBwAAAgv8tHUU0Gyb9++Nnz4cFcYPumkk6xChQq2adMmmzJliuuR2b9//8AVLgEAgP8kVLx88MEHE37CG264oSjXgxCrW7euW80ykTgAABAu5KPpN2zYMLcdMWKEjR8/Pq7npQqX3nkAAICMDxtv2rRpYk+Wk2M//fSTBU2Qhln5mVaz1KTw+6PVLf/zn/9YkPipG3e6hbXtYW13mNse1nYLbc/uYTp+EfZ8NJPvoYaHjx492hYuXGjNmjWznj17BrrHpZ/+36ZTWNsttD18bQ9ru8Pc9rC2O1TDxhctWlSUawMSsm7duqTGAQCA4CAfzRwVKvv06ZPpywAAACFVLNMXAHhWrlyZ1DgAAAAAAABktwIv2COal/DNN9+0JUuWuGEksR544IFkXRtCJpHFegoSBwAAgot8NH3CNmwcAABkefFy8uTJdvbZZ9sBBxxg8+bNs0MPPdR+/vlnNy6+ffv2qblKhILmPEhmHAAACCby0fQZMGCA3X///Zabmxs9dtNNN7kPFuwBAAC+HDY+cOBAu/nmm2327NlWpkwZ+/e//21Lly61E0880f785z+n5ioRChs3bkxqHAAACCby0fQVLocPHx5XuBTt67jOAwAA+K54OXfuXLv00kvd5yVKlLCtW7dahQoVbMiQIfaPf/wjFddoYR+mM3LkSLv++uvdNu+wqCBJdFWroK38BQAACoZ8NPWUc953333u89q1a9vYsWNtxYoVbqt90fkg56YAACBLi5fly5ePJil169Z1c994fvvtt+ReXcjpbrZe7759+9rDDz/sttrnLjcAAAgz8tHUe/DBB90N40qVKrn5Rbt372516tRxW+1XrFjRnVccAACAr4qXRx99tH388cfu87POOsvNd3PXXXfZlVde6c4hucN0qlevHnenW/sM0wEAAGFGPpp6r7/+utsOHjzY9W6Npf1BgwbFxQEAAPhmwR6t3rhp0yb3+d///nf3+csvv2zNmzdnZcckUU+CESNGuCE5urPtJYy603355ZdbgwYN3PmhQ4ey0iMAAAgd8tHUy8nJSWocAABA2oqXWtUxdsjOY489VugvjvyNHj3adu3a5YqT+d3p1nxOPXr0cHF9+vTJ2HUCAABkAvlo6p1zzjmud6uKw9ddd52NGTPGDc9v1qyZXXPNNS5P9eIAAAB8NWxcvf+mTJmSmquB483b1LVr13wX7NHx2Lig4A4/AABIBPlo6t1www0u59q4cWO+c7DruM4rDgAAwFc9L3/99Vc744wzrGbNmnbhhRfaJZdcYm3btk3N1YWU7miLhohPnjzZ9cL09O/f304++eS4uKDQEPjt27cnFAcAAMKLfDT1lG8dfvjhNn369L3G6Dx5GQAA8F3PyzfeeMMtHvO3v/3NJTPt27e3Qw45xO6++277+eefU3OVIdOzZ093J3vSpElWtWrVuAV7tP/ee++584oLktzc3KTGAQCAYCIfTT2N9vn666+tXLlyVqxY/J8MxYsXd8d13lv1HQAAwDfFS1EBTXPdaLjO4sWLXQ/B5557zg488MDkX2HIKVlUsc77yJs8BsnOnTuTGgcAAIKLfDQ9c7Aff/zx+U7Zc9xxx7nzigMAAEilIlXCVET66quv7IsvvnB3ubU6NopOSWAkErHOnTvbb7/95hbnqV+/vtuuWbPGTj/9dHeeZBEAAIQd+WhqeHOrayRQjRo14kYCaf/dd9+NiwMAAPBV8fLDDz+0q6++2iWHustdqVIlmzBhgi1btiz5VxhCXhKolTRVpIyl3pdejwKSRQAAEFbko6nVqFEjt61YsaJ7TbVIUp06ddxW+zoeGwcAAOCbBXvUA/D33393k6SPGTPG/vCHP1jp0qVTc3Uh5S3E8+ijj7qEfOjQoW6FcSXkgwYNcsdj4wAAAMKEfDR98hsyDgAA4Ouel3fccYcbMvLaa6/Zn/70JxLFFNAdbS9Z1PCn2Dvd2veSSC8uKKpUqZLUOAAAEEzko6m3ZMkSt92wYYM1aNDAFYmXL1/uttrfuHFjXBwAAIBvipcankPxKLWeeOIJt9WQ8SZNmsQli9r3hpJ7cUGxefPmpMYBAIBgIh9NPW+Ej+Zg15zr+c3BHhsHAACQKsFdujqLeXNZXnfddfkmizoeGxcUrDYOAADgDz179rQSJUrYN998Y7/88osdeuihVq1aNbfV/rfffuvOKw4AAMBXc14i9bw72O3bt3e9DLWquAqVOq4E8emnn46LAwAAAJKpVKlS1rdvXxs+fHjcCu6aa9Tb79+/v4sDAABIpZxI3uWssQfN9VO5cmVbv369W8ky1Xbs2GHly5e36tWru9UcdVfbs2vXLjfPkHpgqrAZpISxIBPCB+3blraHr+1hbXeY2x7Wdgtt90fb053PIPvfwyOPPNKmT5++1/NHHHGEffnllxY0fvp/m05hbbfQ9vC1PaztDnPbw9puv7W9sLkMw8Z9fKd71apV+U6QruM6H6TCJQAAAPxj06ZN+yxcis4rDgAAIJUKVbx87rnnrGPHjlavXj1bvHixOzZy5Eh74403kn19oTVs2DA3FCe/OS91XOcBAADCinw0tbp165bUOAAAgLQVLx999FHr16+fnXXWWbZu3TrbvXu3O64VH5UwInlUoNTQ8BEjRljv3r3dVvsULgEAQJiRj6bejz/+mNQ4AACAtBUvH3roIRs7dqzddtttVrx48ejxww8/3GbPnl3oC0H+NDS8T58+7nXXlqHiAAAg7MhHUy83Nzf6ec2aNd3rvWLFCrfVfn5xAAAAvlhtfNGiRXbYYYftcbx06dKuVyAAAACQSuSjqVehQoXo5z/99FN0v3v37nbhhRdaxYoV94gDAADwRc/Lpk2b2jfffLPH8YkTJ1qrVq2SdV2IWXlcw5+uv/56t9U+AABAmCUzH9UQ9DZt2rgVL/VxzDHH2H/+85/o+W3btlmvXr2sevXqrlB3/vnnu8UTYy1ZssS6dOli5cqVs1q1arn5yXft2hUXM2XKFGvfvr0rsB544IH29NNPm5/9+uuv0c/1ulxyySU2c+ZMt41dHTQ2DgAAwBc9LzW/kBI4JXJaQv3LL7+0F1980e655x574oknUnKRYTVgwAA3z2Vs8qtkWCuNM+8lAAAIq2Tmow0aNLB7773Xmjdv7p7rmWeesXPOOce+/vprO+SQQ1ze9fbbb9v48eOtcuXKbh7y8847zz755BP3eM23qcJlnTp17NNPP3VDqy+99FIrWbKk3X333dGeooq59tpr7YUXXrDJkye7Hox169a1zp07mx/p2nTdOTk57nXRdevD4x1XHAAAQEpFCuH555+PHHjggZGcnBz3Ub9+/cgTTzwRCar169dH9FJpmy79+/d3X7N27dqRsWPHRlasWOG22tdxnQ8atSvRj6Ch7eFre1jbHea2h7XdQtv90fZM5DOplMp8tGrVqu651q1bFylZsmRk/Pjx0XNz5851r+Nnn33m9t95551IsWLFIitXrozGPProo5FKlSpFtm/f7vYHDBgQOeSQQ+K+xgUXXBDp3Lmzb9/D4cOHR783q1WrFmnbtm2kZcuWbqt975zigsZP/2/TKaztFtoevraHtd1hbnuY2r158+bIjBkzoh8FaXvs4/Q8yVbYXCZH/xS28LllyxbbtGmTGx4TZBs2bHB32tevXx83TCZVNDS8fPnybnjSsmXLrESJ/3WQVS9M9RBYs2aNm9MpSAv46A5+oorwbetLtD18bQ9ru8Pc9rC2W2i7P9qe7nwmXZKZj6oXpXpYXnbZZa7n5cqVK+3UU0+1tWvXupXMPY0bN3YLKapX5uDBg+3NN9+MG8auHosHHHCAG2atuTlPOOEEN2Q8diX0cePGuefQ+7E327dvdx+x72HDhg3T8h4qHy1Tpsw+vy/1/a3er0HKR/32/zadwtpuoe3ha3tY2x3mtoep3TNnzrQOHToU+XlmzJjh8hc/5KMFnvNSydgPP/zgPvfm9REd+/nnnwv6dMjH6NGjXZFy6NChcYVL0f6QIUPcecUBAACETbLzUa1QrvksNR+lhna/9tprdvDBB7vipQpzsYVLqV27tjsn2mo/73nv3L5ilMBv3bp1r9elYfBK8L0PFS7TRe2++eab9xmj80ErXAIAkO1atmzpCo/eR0HEPk7P4xcFLl5efvnlbj6fvL744gt3DkW3cOFCt+3atWu+573jXhwAAECYJDsfPeigg1zPST3+uuuucz0vv//+e8u0gQMHup4J3sfSpUvT+vW1yFBRzgMAgPQrV66c6zHpfRRE7OP0PFlbvNQQmo4dO+5x/Oijj8531UcUXLNmzdx2woQJ+Z73jntxAAAAYZLsfFS9B7UCuIZYqbdj27ZtbdSoUW4RHg2fXrduXVy8VhvXOdE27+rj3v7+YjRcqmzZsnu9LvUE9VZB9z7SRUPxp0+f7obZaUXxc88911q3bu222tdxnVccAADwr0iCw+D9PFy+wMVLJSobN27c47juBmueIBRdz5493fDwQYMGxa00LtrX3Eo6rzgAAICwSXU+mpub6+aaVDFTq4ZrdXDP/PnzbcmSJXbMMce4fW017Hz16tXRmPfee88VGjX03IuJfQ4vxnsOP+rWrZvbtmrVyq0o/vrrr7t2aqt9byiZFwcAAPwrsp/CpJ8Ll4UqXmrCcd2Rjk0M9bmOHXfcccm+vlDS3X9NAK878lqcZ8yYMbZ8+XK31b6O6zxzDAEAgDBKZj6qodnTpk1zc2WqOKd9DYe++OKL3TyTV111lfXr188+/PBDN//TFVdc4YqO6uUpnTp1ckVKFfFmzZplkyZNcjege/Xq5XpOiubR/Omnn2zAgAE2b948N2/5K6+84vI5v/KmJ9LweS0iOXbsWFuxYoXban/u3LlxcQAAwN8ieylQ+r1wKfGrwSTgH//4h0sYNTfQ8ccf74599NFHbsLxDz74IBXXGErDhg1z2wceeMB69OgRPa4el/3794+eBwAACJtk5qPqMXnppZe6wpyKlW3atHEFyNNPP92dHzFihBUrVszOP/981xuzc+fOcYsmFi9e3E3po7kyVdQsX768mzNTCyx6mjZtam+//bYrVmo4um5GP/HEE+65/EorqquYqwKsCq+6iX7XXXe5aYu0X61aNfd6KA4AAGSHSCQSXY08FauJ+6Z4qTvL3377rT388MPu7rLm6VHC17t3b5fEILnyVsA1jAkAACDMkpmPPvnkk/s8X6ZMGXvkkUfcx96ogPfOO+/s83lOOukkN1dntjj22GNdUVYFShVkY8X2GFUcAACAr4qXUq9ePbv77ruTfzWI0rCi4cOHW+3atW3o0KFuhXElkBqGpONC70sAABBW5KOppSmLkhkHAACQ1uKlVlz88ssv3TCbvD0BddcbRaNVLTVESYXLZcuWuaHi0r17d7v88svdUCOdV1GTeS8BAEAYkY+mVqNGjZIaBwAAkLbi5VtvveUmMN+0aZNbRVGrPXr0Ocli0WkeJa0qruKkV7j0aF9zKGkeTMX16dMnY9cJAACQCeSjqadc1FOlShU3NF432HXjfPHixa54nDcOAADAF6uN33TTTXbllVe6ZFFJy9q1a6Mfv//+e0ouMmy8VRs1VDw/3nFWdwQAAGFEPpp6mq7Io4Jlz5497f3333fb2JE/sXEAAAC+KF7+8ssvdsMNN1i5cuVSckEwt4rjvpJB77gXBwAAECbko6mn1delRYsWtmbNGjfqp379+m6rAnHz5s3j4gAAAHxTvOzcubN99dVXqbkaOLqjreHhWpwn71Ac7Q8ePNidVxwAAEDYkI+mXp06ddx20aJFe8wpunv3bnc8Ng4AAMA3c1526dLF+vfvb99//721bt3aSpYsGXf+7LPPTub1hZKG4vTt29etKq7FeTTHpbfauAqXq1atcu8Bi/UAAIAwIh9NvfPOO88+++wz27lz5x7nIpFI9Aa74gAAAFIpJ6LsowCKFdt7Z01NkK47sUGzYcMGq1y5sq1fv95NCp8uAwYMcKuKx/a+VI9LFTaHDRtmQRM72f7+FPDb1vdoe/jaHtZ2h7ntYW230HZ/tD1T+UwqhDEfTfd7qPlEK1asuN+4jRs3WoUKFSxI/PT/Np3C2m6h7eFre1jbHea2h7Xd+Zk5c6Z16NDBZsyYYe3bt7dsyGUKPGxcw0b29hHURDFTVKDcvHmzK2D27t3bbbUfxMIlAABAoshHU+/RRx9NahwAAEDaho0jvTQ0vE+fPpm+DAAAAITIa6+9lnCchvADAAD4qnip3n9Tp061JUuW2I4dO+LOaeVHAAAAIJXIR1PLW0W8ePHibvhc7KI9GrbvDc9ntXEAAOC74uXXX39tZ511lm3ZssUljdWqVbPffvvNypUrZ7Vq1SJZBAAAQEqRj6ZPfsPw864+DgAAkEoFnvNSi8X84Q9/sLVr11rZsmXt888/t8WLF7vJPu+7777UXCUAAADwX+SjqVenTp2kxgEAAKStePnNN9/YTTfd5IaLaBjJ9u3brWHDhm4Rmb/+9a+FvpB7773XDT+Jnd9x27Zt1qtXL6tevbpbxfD888+3VatWxT1OQ4W6dOkSvdOuOXdiV+eWKVOmuBWUSpcubQceeKA9/fTTli00DGrkyJF2/fXXu23eYVEAAABhk6p8FP+j/DuZcQAAAGkrXpYsWdIliqJioYqHoqXOly5dWqiLmD59uj3++OPWpk2bPe6qv/XWWzZ+/Hg3p9Hy5cvtvPPOixvGosKlCnqffvqpPfPMM64wOXjw4GjMokWLXMzJJ5/sEl0VR7t3726TJk0yvxswYICVL1/evQ4PP/yw22pfxwEAAMIqFfko4mkYfjLjAAAA0la8POyww1yxUU488URXKHzhhRdcUfDQQw8t8AVs2rTJLr74Yhs7dqxVrVo1enz9+vX25JNP2gMPPGCnnHKKGwY0btw4V6TU0CB599137fvvv7fnn3/e2rVrZ2eeeabdeeed9sgjj0R7KD722GPWtGlTu//++61Vq1bWu3dv+9Of/mQjRowwP1OBcvjw4e5utl4bTYaurfZ1nAImAAAIq2Tno9jT/PnzkxoHAACQtuLl3XffbXXr1nWf33XXXa7geN1119mvv/5qY8aMKfAFaFi4ekaedtppccdnzJhhO3fujDvesmVLa9SokX322WduX9vWrVtb7dq1ozGdO3e2DRs22Jw5c6IxeZ9bMd5z5EdDj/QcsR/ppMKriqtq17Jly1xPUc0npK32dVznGUIOAADCKNn5KPakjgTJjAMAAEjbauOHH3549HMN05k4cWKhv/hLL71kM2fOjN45j7Vy5UorVaqUValSJe64Cnc658XEFi698965fcWoILl161Y3yXte99xzj/3973+3TBk9erSbt3Po0KFWokT8W6T9IUOGWI8ePVxc7ByhAAAAYZDMfBT507D82JXG69ev7/Jm5c+//PJLXBwAAEAqZSzb0HxEN954oxviU6ZMGfOTgQMHurvI3ke6505auHCh23bt2jXf895xLw4AAABIJi1yGUsFyx9//DGucJlfHAAAQEZ6Xmql7smTJ7shOZpjSKuC7416UiZCw8JXr17tntuju7vTpk1zi9NoQR0Ni163bl1c70utNq4h1KLtl19+Gfe83mrksTF5VyjXfqVKlfLtdSlalVwfmdKsWTO3nTBhghsqnpeOx8YBAAAEXSryUeyd5qSPXQRzX3EAAPjRli1bbN68eQV+XGweoekLy5Url+QrQ0qKl+ecc060mHfuuedaMpx66qk2e/bsuGNXXHGF+8a45ZZbrGHDhm4lSSWp559/fnRCcK0mecwxx7h9bTXPkYqgGjIk7733nitMHnzwwdGYd955J+7rKMZ7Dj/q2bOn9e/f3wYNGmSXX3553NBxDSdXIqljigsS/RESiUQSigMAAOGSinwUe6fFIpMZBwBAuqlwqcWfCyr2Mep4F9vpDj4uXt5+++3RnpEnn3yytWnTZo+5KAuqYsWKe6wGWb58ebeatnf8qquusn79+lm1atVcQfL66693Rcejjz7ane/UqZMrUnbr1s2GDRvm5rdUwU+LAHnJ7bXXXut6cmp17iuvvNI++OADe+WVV+ztt982v9Jcn3379nWrimt+Ia2iqddm8+bNNnXqVFesVXFTcUGSSOGyIHEAACA4UpGPYv9Fyb3dXPaOU7wEAPiVOsep+CgFKWJ6j/GeA1m2YE/x4sVdwXDu3LlpSRa1orYmAVfPS60ArlXCtUhN7PVoCLVWl1RRUwW+yy67zC1o42natKkrVKoYOGrUKGvQoIE98cQT7rn8TMXYKVOmuMWMxo8fH3fuiCOOcOcBAADCJt35aFh5UzDt7aaxd9yLAwDAbzTcuzC9JulpGYDVxtUr8qeffnJFwWRTsS6WFvJ55JFH3MfeNG7ceI9h4XmddNJJ9vXXX1s2UU9RFS5r1qxp9erVc8Vb9SZdvny5O67zFDABAEAYpTIfxf9y7GTGAQCQSbrplsgUdIz0DMhq40OHDrWbb77Z9XjUMJENGzbEfaDotFCRep3qLsGaNWts1qxZbq4GbbWv4zqvOAAAgLAhH009LaKZzDgAADJtf4VJCpcB6nl51llnue3ZZ58dV7X2qtiahwhFo6HxWphHH7Vr13YJeteuXV2Crjk9vdXTFdenT59MXy4AAEBakY+m3kcffRS3r6mXNCpq27ZttmzZsr3GAQCQjT0wKVwGrHj54YcfpuZKELVgwQK3rVGjhksOvdXGu3fv7lYfr1u3rv3222/ROAAAgDAhH009TVkUK7Zgua84AAD8ToXKmTNnukV8WE08oMVLrXyN1PJWbTzzzDOjhUuP9rXY0AsvvMDqjgAAIJTIR1NPC2GuW7cuoTgAAABfFS89W7ZssSVLluwx72KbNm2ScV2h5q3a+J///McNHY8tYGp/0qRJcXEAAABhRD6aOi1atLAvv/wyoTgAAABfFS9//fVXu+KKK1xhLT/MMVR0Bx10kNtqaLjmFxoyZEh0zsvBgwe747FxAAAAYUI+mnrVqlVLahwAAEDaVhvXAjEaQvLFF19Y2bJlbeLEifbMM89Y8+bN7c033yz0heB/evbs6XpbalVxFSp79Ohh9evXd1tvtXGdVxwAAEDYkI+m3pw5c5IaBwAAkLaelx988IG98cYbdvjhh1uxYsWscePGdvrpp1ulSpXsnnvusS5duhT6YvD/lSpVyvr27WvDhw+3WrVquXmdNJ/Q5s2bberUqbZ69Wrr37+/iwMAAAgb8tHUW7VqVVLjAAAA0la8VAFNBTWpWrWqG7ajuW5at27tVmtCcgwbNsxtR4wYYePHj48eV49LFS698wAAAGFDPpp6xYsXT2ocAABA2oaNa57F+fPnu8/btm1rjz/+uP3yyy/22GOPWd26dQt9IdiTCpRKzlXA7N27t9tqn8IlAAAIM/LR1NM0RcmMAwAASFvPyxtvvNFWrFjhPr/99tvtjDPOsBdeeMENYX766acLfSHIn15XzesEAACA/498NPXoeQkAALK2eHnJJZdEP+/QoYMtXrzY5s2bZ40aNbIaNWok+/pCb8eOHTZ69GhbuHChNWvWzC3Sw1yXAAAgzMhHU4+elwAAIGuHjX/88cd7JCzt27cnUUyBAQMGuIV6tHjPww8/7Lba13EAAICwIh9NPd00T2YcAABA2oqXp5xyijVt2tT++te/2vfff1/oL4x9U4FSq41Xr17dxo4d64ZGaat9HaeACQAAwop8NPWmT5++xzGt7J5IHAAAQEaLl8uXL7ebbrrJpk6daoceeqi1a9fOFdOWLVuW1AsL+1BxLc5Tu3Zt97p2797d6tSp47ba13GdVxwAAEDYkI+m3saNG/c4lpubm1AcAABARouXGo6jla8/+eQTNw/jn//8Z3vmmWesSZMm7i44ik5zXO7atcuGDh1qJUrET0uq/SFDhrjzigMAAAgb8lEAAIDwKPCCPbE0XOfWW2+1tm3b2t/+9jd39xtFpyRcunbtmu+CPToeGwcAABBW5KOpoQUit2/f7j4vW7aslSxZ0rZt22ZlypSxnTt32tatW6NxAAAAvixe6k73Cy+8YP/6179cInPOOefYPffck9yrCylv4vPLL7/c3n//fdu9e3f03M033xztUcAE6QAAIMzIR1NHo3284qUKlV6xMu+0RXlHCQEAAGR82PjAgQPdHW4V0JYsWWKjRo2ylStX2nPPPWdnnHFG0i8wjNS7MicnxyZNmhRXuBTtv/fee+684gAAAMKGfDT1GjZsmNQ4AACAtBUvp02bZv3797dffvnFJkyYYBdddJGVK1eu0BeA/EUikejnl1xyiX399ddum995AACAMCEfTT3NH5rMOAAAgMIqUZjhOUitBx980G01t5B6Wj7//PPuQ4oXL27FihVzcw0pTsPIAQAAwoR8NPUWL16c1DgAAICUFi/ffPNNO/PMM10xTZ/vy9lnn13oi8H/98Ybb7it5my6/vrr91iwZ+TIkXbLLbe4OIqXAAAgDMhH00vD8JMZBwAAkNLi5bnnnusSk1q1arnP90bzMOadoxEFFzskXCs49unTZ79xAAAAQUY+ml55F+YpahwAAEBK57zMzc11iaL3+d4+SBSTw0vIhwwZYrt27Yo7p/2hQ4fGxQEAAAQd+Wh6lS1bNqlxAAAAaVuwB6l3ww03uF4DGzZssAYNGtiYMWNs+fLlbqv9jRs3uvOKAwAAAJJt8+bNcfsarn/00Ue77b7iAAAAMr5gj0yfPt0+/PBDW716tbvDHeuBBx5I1rWFloaKay7L4cOH26pVq6xHjx57xOi84gAAAMKIfDS1ypcvb1u3bo3ua7HIzz//PN84AAAAXxUv7777bhs0aJAddNBBVrt2bdcD0BP7OYpm2LBhbqsCZl79+/ePngcAAAgb8tHUiy1cSvHixaOfxw7NzxsHAACQ8eLlqFGj7KmnnrLLL7886ReDeFOmTCnQcQAAgDAgH029EiXi/0zY21yieeMAAAAyPudlsWLFrGPHjkm/EMQ78sgj3XAo9R7o1q2bzZo1y221r+M6DwAAEEbko6lXpkyZpMYBAACkrXjZt29fe+SRRwr9BbF/mzZtihYut2zZYs8++6y1adPGbbXvFTAVBwAAEDbko6l31llnJTUOAACgsAo8zkMLxXTp0sWaNWtmBx988B4rDr766quFvhj8f+phKZdccsked7O1/5e//MVeeOEFF/faa69l6CoBAAAyg3w09ZYsWZLUOAAAgLQVL2+44Qa3suPJJ59s1atXZ1L0FFi4cGE0Md+xY4eNHj3aHVOC3rNnT+vXr58rXnpxAAAAYUI+mnqTJ09OahwAIDM0enPevHmFeuzMmTOjn7ds2dLKlSuXxCsDUli8fOaZZ+zf//63u9uN1FCRcvbs2XbRRRfZ/Pnz4yZIV0GzRYsW0TgAAICwIR8FACAxKlx26NChUI+NfdyMGTOsffv2SbwyIIXFy2rVqlE0S7HnnnvOKlasaN9///0e51TInDt3bjQOAAAgbMhHAQBIjHpMqvDoKUghM/Zxeh4gaxbsueOOO+z22293XY+RGqVKlYrbP+qoo2zSpEluu684AACAMCAfTb2qVasmNQ4AkBka6q0ek95H27ZtE3qc4mIfx5BxZFXPywcffNDNtVi7dm1r0qTJHhOkx86JgMIZNWqU2xYrVsxyc3Ptiy++sM6dO0fPe8cV179//wxeKQAAQPqRj6ZeiRIlkhoHAPCHb775JqG5ohUH+EWBs41zzz03NVeCqDfeeMNthw0bZj169HCrinsL9miouBbwueWWW1wcxUsAABA25KOpF4lEkhoHAPAP/ezeVwGTn+3I+uKlhugAAAAAmUI+mnobN25MahwAwF9UoGzXrp3NmjUrbqg4PS7hR4Ua57Fu3Tr717/+5XoDquefJk3X8BwN3alfv37yrzJkzjnnHPvkk09swIABbnVxj1Yg10I+GjbuxQEAAP/QHIxa1bMwYoc6a1J85pbaN/LR1NqxY0dS4wAA/qNCpX53ahEfVhNHoIqX3377rZ122mlWuXJl+/nnn+3qq692yeKrr75qS5YssWeffTY1VxoiN954oytcal5LadSokbsjoh8seo2944oDAAD+ocJlQVbxjBX7OP6A2Dfy0dRj2DgAAMja1cb79etnl19+uf3www9WpkyZ6PGzzjrLpk2bluzrC6W8d7CVhL/55ptuu684AACQWeoxqcKj91EQsY/T82DvyEdTT6N9khkHAACQtp6X06dPt8cff3yP4xqes3LlykJfCP5HC/QkGvfaa6+l/HoAAEBiNNS7sD0m6WmZOPLR1KtTp05C81kqDgAAwFfFy9KlS9uGDRv2OL5gwQKrWbNmsq4r1H788ce4/cMPP9ytNK45nb766qu9xgEAgOxazTM2DokjH029FStWJDUOAAAgbcXLs88+24YMGWKvvPKK21dCruHMt9xyi51//vmFvhD8z+7du6Ofb926NW441LZt26xs2bJ7xAEAgOwsYFK4LDjy0dRjwR4AAJC1c17ef//9tmnTJqtVq5YrrJ144ol24IEHuvlu7rrrrtRcZcjo9U1mHAAAyKy9FSgpXBZOMvPRe+65x4444gj3WD3fueeea/Pnz4+L0c3jXr16WfXq1a1ChQquQLpq1aq4GBVPu3Tp4qYO0PNoBfRdu3bFxUyZMsVND6Ceo7rep59+2vwq0dXuE40DAABIW89Lrer43nvv2SeffGKzZs1yiaOSMK34iOTYuXNnXEJYr1491/tSifPy5cvzjQMAAP6mQuXMmTPdquKsJl40ycxHp06d6gqTKmCq2PjXv/7VOnXqZN9//72VL1/exfTt29fefvttGz9+vPvavXv3tvPOO899fW80jAqXmv/x008/dUOpL730UitZsqTdfffdLmbRokUu5tprr7UXXnjBJk+ebN27d7e6deta586dzW8OOOAA9/2aSBwAAICvipeejh07ug8kn+a4nDBhQvQPnV9++WWvcQAAAGGVjHx04sSJcfvqDamekyown3DCCbZ+/Xp78skn7Z///KedcsopLmbcuHHWqlUr+/zzz+3oo4+2d9991xU733//fatdu7a1a9fO7rzzTjeM/Y477rBSpUrZY489Zk2bNnW9RkWP//jjj23EiBG+LF7OnTs3qXEAAAApHzb+2WefRQtqnmeffdYlYUrwrrnmGtu+fXuhLwT/8+KLLyY1DgAAIAjSkY+qWCnVqlVzWxUxNdoltldny5YtrVGjRu56vOtq3bq1K1x6VJDUokJz5syJxuTtGaoY7znyo7boOWI/0kXD8ZMZBwAAkPLipSZF95IvmT17tl111VU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}, "metadata": {}, "output_type": "display_data" } ], "execution_count": 16 }, { "metadata": {}, "cell_type": "markdown", "source": "**Clarification**: Comparison of multiple variogram clouds could be challenging. We see that the largest semivariances are present in the raw data. Heavily processed data has the lowest number of outliers. The medians in each dataset are distributed over a similar pattern. How is it similar? We can check if we transform the variogram point cloud into the experimental semivariogram. `VariogramCloud` class has a method for it: `.average_semivariance()`. We use it and compare four plots of semivariances to gain more insight into the transformations.", "id": "13f5d5306bd90f64" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T15:00:15.108703Z", "start_time": "2025-12-21T15:00:13.756072Z" } }, "cell_type": "code", "source": [ "plt.figure(figsize=(14, 6))\n", "plt.plot(cloud_with.average_semivariance()[:, 1], c='#a6611a')\n", "plt.plot(cloud_without.average_semivariance()[:, 1], c='#dfc27d')\n", "plt.plot(cloud_with_rem.average_semivariance()[:, 1], '--', c='#80cdc1')\n", "plt.plot(cloud_without_rem.average_semivariance()[:, 1], '--', c='#018571')\n", "plt.title('Comparison of experimental semivariograms created with the different data preprocessing techniques')\n", "plt.ylabel('Semivariance')\n", "plt.xlabel('Lag number')\n", "plt.legend(['Raw', 'Raw | Filtered Semivariances', 'Preprocessed', 'Preprocessed | Filtered Semivariances'])\n", "plt.show()" ], "id": "2cfeed5116fac75c", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 17 }, { "metadata": {}, "cell_type": "markdown", "source": [ "**Clarification**: An understanding of those plots is a challenging task. Let's divide reasoning into multiple points:\n", "\n", "- Raw dataset and preprocessed raw dataset show a similar pattern. The differences are more pronounced for the distant lags than for the closest point pairs (there are more point pairs, thus those lags have greater chance having outlier values)\n", "- Datasets with the cleaned variograms are different from the raw data. The absolute semivariance values per lag are smaller, and the semivariogram line is slightly different.\n", "- The differences between semivariograms are primarily visible at larger distances, and differences are minor for the closest point pairs.\n", "- Filtering semivariance sharply lowers the weights per lag, and removing outliers from the input data only slightly corrects the variogram.\n", "- Both preprocessed and preprocessed and cleaned datasets are the same. Why? Probably after initial preprocessing step there are no outliers at all!\n", "\n", "Let's check how different variograms work with the real-world data." ], "id": "ee12377c2767c24a" }, { "metadata": {}, "cell_type": "markdown", "source": "## 5. Kriging Models based on different variograms", "id": "e8ea381b6c6224db" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T15:00:21.856952Z", "start_time": "2025-12-21T15:00:21.629683Z" } }, "cell_type": "code", "source": [ "# Fit different semivariogram models into prepared datasets and variograms\n", "\n", "# Raw\n", "raw_theo = build_theoretical_variogram(\n", " experimental_variogram=cloud_with.average_semivariance(),\n", " models_group='linear',\n", " nugget=0\n", ")\n", "\n", "# Raw with cleaned variogram\n", "raw_theo_no_out = build_theoretical_variogram(\n", " experimental_variogram=cloud_without.average_semivariance(),\n", " models_group='linear',\n", " nugget=0\n", ")\n", "\n", "# Preprocessed\n", "prep_theo = build_theoretical_variogram(\n", " experimental_variogram=cloud_with_rem.average_semivariance(),\n", " models_group='linear',\n", " nugget=0\n", ")\n", "\n", "# Preprocessed with cleaned variogram\n", "prep_theo_no_out = build_theoretical_variogram(\n", " experimental_variogram=cloud_without_rem.average_semivariance(),\n", " models_group='linear',\n", " nugget=0\n", ")" ], "id": "273497e30318697", "outputs": [], "execution_count": 18 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T15:00:57.136905Z", "start_time": "2025-12-21T15:00:27.382953Z" } }, "cell_type": "code", "source": [ "# Set Kriging models\n", "\n", "unknown_locs = test['geometry'].to_numpy()\n", "\n", "raw_interpolated = interpolate_points(\n", " theoretical_model=raw_theo,\n", " known_values=train['dem'],\n", " known_geometries=train['geometry'],\n", " unknown_locations=unknown_locs,\n", " progress_bar=True\n", ")\n", "\n", "raw_no_interpolated = interpolate_points(\n", " theoretical_model=raw_theo_no_out,\n", " known_values=train['dem'],\n", " known_geometries=train['geometry'],\n", " unknown_locations=unknown_locs,\n", " progress_bar=True\n", ")\n", "\n", "proc_raw_interpolated = interpolate_points(\n", " theoretical_model=prep_theo,\n", " known_values=train['dem'],\n", " known_geometries=train['geometry'],\n", " unknown_locations=unknown_locs,\n", " progress_bar=True\n", ")\n", "\n", "proc_no_interpolated = interpolate_points(\n", " theoretical_model=prep_theo_no_out,\n", " known_values=train['dem'],\n", " known_geometries=train['geometry'],\n", " unknown_locations=unknown_locs,\n", " progress_bar=True\n", ")" ], "id": "15abced80242074e", "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 3448/3448 [00:07<00:00, 480.48it/s]\n", "100%|██████████| 3448/3448 [00:07<00:00, 479.86it/s]\n", "100%|██████████| 3448/3448 [00:07<00:00, 480.02it/s]\n", "100%|██████████| 3448/3448 [00:06<00:00, 496.20it/s]\n" ] } ], "execution_count": 19 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T15:01:00.375259Z", "start_time": "2025-12-21T15:01:00.368407Z" } }, "cell_type": "code", "source": [ "# estimate deviations using squared error\n", "\n", "results = test.copy()\n", "results['raw'] = raw_interpolated[:, 0]\n", "results['raw_variogram_filtering'] = raw_no_interpolated[:, 0]\n", "results['point_cloud_filtered'] = proc_raw_interpolated[:, 0]\n", "results['all_filtered'] = proc_no_interpolated[:, 0]\n" ], "id": "292f79185496255d", "outputs": [], "execution_count": 20 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T15:01:01.904133Z", "start_time": "2025-12-21T15:01:01.893837Z" } }, "cell_type": "code", "source": [ "results['d-raw'] = (results['dem'] - results['raw'])**2\n", "results['d-raw_variogram_filtering'] = (results['dem'] - results['raw_variogram_filtering'])**2\n", "results['d-point_cloud_filtered'] = (results['dem'] - results['point_cloud_filtered'])**2\n", "results['d-all_filtered'] = (results['dem'] - results['all_filtered'])**2" ], "id": "f2af3c40123cf77", "outputs": [], "execution_count": 21 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T15:01:03.632051Z", "start_time": "2025-12-21T15:01:03.614566Z" } }, "cell_type": "code", "source": [ "stats = results[\n", " [\n", " 'd-raw',\n", " 'd-raw_variogram_filtering',\n", " 'd-point_cloud_filtered',\n", " 'd-all_filtered'\n", " ]\n", "].describe()" ], "id": "4c15f434a2af1dc2", "outputs": [], "execution_count": 22 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T15:01:05.461210Z", "start_time": "2025-12-21T15:01:05.447599Z" } }, "cell_type": "code", "source": "stats.loc[['mean', 'std', '50%', 'min', 'max']]", "id": "e452f21c7f962ad7", "outputs": [ { "data": { "text/plain": [ " d-raw d-raw_variogram_filtering d-point_cloud_filtered \\\n", "mean 9.109158e+00 9.109158e+00 9.109158e+00 \n", "std 3.922786e+01 3.922786e+01 3.922786e+01 \n", "50% 8.425322e-01 8.425322e-01 8.425322e-01 \n", "min 2.779742e-10 2.779742e-10 2.779742e-10 \n", "max 1.479746e+03 1.479746e+03 1.479746e+03 \n", "\n", " d-all_filtered \n", "mean 9.109158e+00 \n", "std 3.922786e+01 \n", "50% 8.425322e-01 \n", "min 2.779742e-10 \n", "max 1.479746e+03 " ], "text/html": [ "
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" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 23 }, { "metadata": {}, "cell_type": "markdown", "source": [ "The view of this table may be different each time you run this tutorial (and it is related to the training-test division process). In some cases, you may get better results for the cleaned dataset; for others, results will be better for raw data. That's why we should always have a validation set to compare different scenarios. The other idea is to use all the models and create a distribution of predictions and errors per point - we can use it later for decisions.\n", "\n", "> NOTE: The example in this tutorial is Digital Elevation Model from Copernicus Land Monitoring Services. Looking at rather uniform results, you shouldn't get the impression that raw data preprocessing and filtering are useless. There are cases where the sensor may produce unreliable and biased results, such as a satellite camera's saturated pixel. Removing it with the specific noise-filtering algorithm before the variogram fitting might give you a better model." ], "id": "aba08a6ea04ab4d6" }, { "metadata": {}, "cell_type": "markdown", "source": [ "## Changelog\n", "\n", "| Date | Changes | Author |\n", "|------------|----------------------------------------------|----------------------------------|\n", "| 2025-11-07 | Used **values** and **geometries** parameters instead of **ds** in the experimental variogram initialization, and **known_values** and **known_geometries** for kriging process (instead of **known_locations** parameter) | @SimonMolinsky (Szymon Moliński) |\n", "| 2025-05-17 | Tutorial has been adapted to the 1.0 release | @SimonMolinsky (Szymon Moliński) |" ], "id": "47f31b83643ea046" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T15:01:07.329657Z", "start_time": "2025-12-21T15:01:07.326690Z" } }, "cell_type": "code", "source": "", "id": "d53dff7e9354ad0f", "outputs": [], "execution_count": null } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 5 }