{ "cells": [ { "cell_type": "markdown", "id": "17ffef2e", "metadata": {}, "source": [ "# Other persistence measures\n", "\n", "PLSCAN supports five persistence measures for selecting the minimum cluster\n", "size threshold:\n", "\n", "- ``\"size\"`` persistence\n", "- ``\"distance\"`` persistence\n", "- ``\"density\"`` persistence\n", "- ``\"size-distance\"`` bi-persistence\n", "- ``\"size-density\"`` bi-persistence" ] }, { "cell_type": "code", "execution_count": 2, "id": "0ea6577f", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from fast_plscan import PLSCAN\n", "from fast_plscan._api import compute_distance_icicles, compute_density_icicles\n", "\n", "\n", "plt.rcParams[\"figure.dpi\"] = 150\n", "plt.rcParams[\"figure.figsize\"] = (2.75, 0.618 * 2.75)\n", "\n", "data = np.load(\"data/clusterable/sources/clusterable_data.npy\")" ] }, { "cell_type": "markdown", "id": "944cc988", "metadata": {}, "source": [ "## Size persistence\n", "\n", "The default measure (``\"size\"``) tracks where leaf clusters exist along\n", "minimum cluster size thresholds. The leaf tree visualizes these size intervals\n", "(persistences) for each leaf cluster on the y-axis:" ] }, { "cell_type": "code", "execution_count": 3, "id": "65dcd518", "metadata": {}, "outputs": [ { "data": { "image/png": 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hhhvYCYOKHIrkRV55vuQOGAIy8p5x3SHpPlWKhek1HsizwcUvKkuAMQ9RtHzsM7JKtc+5Bd4LGemGesCaBsryjJEOHTrQSy+9RLt27WKLyFhMhjkPnzgONpq/4rlXXnnFtf3bFNbWpPW5zK0VK9oB1SyYkKIoidssGbPk55Xs4VuQY73y1CpLTF4WL17MtuGsUllyt5qaNWuy7datW3Wf37x5c9jnkw2pK9bDhg1jBdeR5wnFiZMoKyuLVRbq0aMHc9sOHTpU5lcqkrhIQr5N3TLsslzMgkEYRRLcNhibJS+rpIs286D1AUOisgSYvLz33ntsG84qlSV3M7A6uKecUuIWDXDXAnRNOaBJS0EGBYq+A4z5qYD0cC+0pEGe59GjR9niMnpt4mDOnTs35BNXJDeFklqSJXszbK3lYpZUaa7MKRDakXFybHDbispSG/UcziqVJXeRtHp1KL1NC8Obp1aNuL+je/furHpcdnY2XXrppayLFe6jSwr+F3NaU4GE/UpYnjDzTzzxRFVJI8WQlecpSwk7Fa3lYhYMVognSJVBy6tzfvltsLq1KUI4/giGxDacVSpL7maAYYP1ce0t2jEdEbewVP/880+2VFepUiVWkhWpio899ljYNdFkQ9rV1qRJEzr55JMjlt677777WP9NRfISkBTok+xdVbSWi1mQ8oCJqttSH8xSkFPS8sy2odatqCy1BfrDWaWy5G4HDRs2ZJHCn3zyCQv8vPXWW1msy+rVq5mhBKJ1A7sdacoTPnw0i0b92scff9zwdfCV47WK5CVgV5sLlyGruAEGYaSJuXEwNsO+rftKPHZgp/V5ntpuNpi81K9fP1Sez8gqdXtRC5xnV155Jb3wwgvM/XzXXXdRtWrVaMmSJez5VElFlOrn6dixIzVu3JjVucXBzcuzPvdK4QAk1bb1SYradSpayyUe8vOTuxqTSF52yd9akGt9cJmoLLlSQdAML89nZJXKlLtT2LNnD3322WcsXaVfv36UCkiVXrNmzdgiMqKy4L6FMk2lWoeKIvwBOUov2dMWZfXhhAWDVDC3WjKxUqhTecqO9XFRWXLKli0b0Sp1c/9VFLnRTtR27NjB8vsRGIo+peXKlaNUQLr0YL7Pnz+f+cL//vtvOuuss1g0liJ1kNQL274uxzZZLmZBygNaAqZKeT692snZR4oS+K2GK0uAyQvGO16ez8gqlSV3Oxg/fjxb27zgggtYnduLLrooZDQ98sgjdOONN1KqkJCpD/rUTZkyhRVEOHjwIHXr1o3efvvtRHyVwoEEJbltKQUChrSWi9mKOyiSoFd5Jxk5vPdoicf221DbVlSWAJOX/fv3h8rzGVmlsuRuB0iJOvfcc1ktZbhpV6xYQZdccgktWLCALdelEgmVHoomtGrVigYMGMCq7S9fvjyl62+mCkGPHKXnT/J+nlrLxSxQmgsXLqSbbrrJla7AWDl6oKTyzNEpnJBouLIU5fDBBx+wYCCkdehZpaiyBqUpQ+52KU/cFAnM8+TAvIdJ37JlS5o0aRJ99NFH6rgnObJq0qZCM2zRcjELBmMM2m60ZMyQfbSkovTmlkxfSTRQlkg54RY/tsijxDacVSpL7gp7sWSairzO33//nXr27KlOmBQgKMm7IK07i0MRB9R4wCCMIgmpMhhn6ZTis6OJgKgsASYvCJTk5flE2YqKVpbcFUmiPHFSvPnmm4bPV6xYkWbPnk0//fQT67CiSF4CstYq5UUeORKt5WIWuAhR+hLbVGC/Xk6nDcvjorIEmLwgihbbcFapLLkr7MXSBRJc3Ehf6dKli5Vfq3Cr8kzysUVrucQToHfbbbelTBnMHBt6d+ohKks+vqG6DrbhrFJZclfYS/JHFygsx1foS1g+XzKhtVzMgpSHRo0auTL1wQwBhwQdisoSYPKCknXYhrNKZcndLlDNauDAgVS3bl3mekb7yU6dOtFbb72VMj1l41KeqGWLtUzeww3/R3tTtW2TG7+kwvCyCsw7Fa3lYhYMwmgT5dbBOFbys53Rqk5UlgCTFwRG8vJ8RlapLLnbAZQ+UlU+/fRTqlOnDqsmhE4rv/32G9188810/fXXU6pg+mrj9Wn5bFfVq1XIDt6QpYSditZyiYfKlStTquBziEcCY1/btm1ZriPP7eRRz3DJ6lmlAOl6suRuJVD2SD/E/n/wwQesSAJnzZo1bEluxowZdMstt7Asi2THtOXJF77RSUX8P9qbInnxSmqGHUhy5am1XOIZ1E499VRXWjJuRi9FqEGDBhGtUllytxoURkDrsRYtWhRTnAD5/NzqhFs3FVBrngrp+CUpz8KC5Fae4oAaD7B6UMkrZVIfHLSsxpUlwOQFa8+8PJ8oW1HRypK71ZQpUyaq11WvXp1SAaU8FdLxFQYdVWDeqcgqbsAr2yiPjrWIyhJg8pKTk1PChatVtG4tasHjVdatW8fcsyJw277//vusEfYVV1xBqYA05fnff//Ru+++Gwog4mAh+ZxzzmF5nq1bt2adyBVJjqT8TGk1ch2MaLmYBUoTARxKeVqLqCy5HBBQw+VgZJVqn3MLcDO/8847LLr2uuuuozPOOIOuvvpqVru8Xbt2VK9ePfrhhx9Yc5BUQJryRCsaRFuJrqO9e/dSjx49WHk+9PaEz/yqq66iZcuWyfpahQPxS8rzTIXyfOKAahZYMMgbdJsl43a0ylIs0B/OKpUldzOgLi2ClbS3aEExjkWLFjErFOP4xx9/zIrCo6Yy2uLh8VRBmvL85ZdfWNACZh8cVBxCj7eRI0cy5QmrEyfWxIkTZX2twolIyvVK9pwxreViFkQ/okiCarpgLdpuNpi8fPvtt6HyfEZWqSy5i+TXLk/ZzasY3rzV5RSi//DDD+nss89mLdVQcjU7O5vWr19PgwYNYgYUrNCCAuvrDLtaee7evZsaNmxY7DGcSFhkfuyxx6h06dJs1tOhQwd20BXJS1CS5emySP64LZd4aN68OaU6VltyorIEmLwgihbbcFapTLnHCjwUq1atKnGLdmkO/Tpr1KhBX331FVOiFSpUYOfe66+/Tr169WLWaLgyrcmENOWJ7uJi6DVmHwhZhrLEeiencePGrC2PInnxF8oqkpDcbltZfThx3d17772uS32QzZH9mZZ+n6gsOTVr1oxolbq1/yo6YiFCGP07KwpjOgdVhwDql6cC0pQn3LXo18mZP38+U6gw40XgvsVsRZG8BCRFycrqzuJUtJaLWTCgYd3KbakPssnPtt5dyJUlwOTl4YcfDpXnM7JKZcndanbs2MG2J5xwgu7z/PHDhw9TKiBNeUJJwqzHCTJnzhx64IEHWAWNvn37FnsdqnHAX65IXnySomT9SR5tq2e5mAGD9dtvv53ylmdBvrVl+0RlCTB5QQQqtuGsUllyt5ratWuz7Z9//qn7PC+OgGCoVECa8nzwwQdZCPPLL7/M1jZXr17NzPj27duHXgPf+saNG1nEliKJkeSO8qWAJSVaLmbBJBVRjm4r9yYdi92gorIEUKIvvvhiSJkaWaXa59wCN4Tglp0yZUqJlMQXXniB3R8wYAClAtKUJ/KW/v33X3rkkUdY5N+0adNYIrDI33//zQTAfeOK5ERWkKw/ydc8tQNqPIEyJ510UsqX58vNzicr0SpLTF5QJB3bcFapLLlbDX7bqFGj2P1hw4ZRmzZt2FiOmrYwiBBBPHToULrooosoFZDqdMe6JyJrjUDtw1Squp+q+CQFDMkKPHIqGEhRQASz9njSFvBexBekAgUFxq7ZoxYHDInKkk9iEEjj9RbtoyhbUdHKkrsdPP/883TeeefRa6+9Rn/99RerNlSpUiXWoxmdYq655hpKFVR5PoVj+y0me6FzreVillRqrlyQazxJyMuytkk2V5ZiIQTkJmuVpZ5VKkPudoHye/PmzaMDBw6wicChQ4foxx9/tEVxrly5MurXIi5AJkp5KqQjawyX1VTbqWgtF7NAaU6ePDkllKevwPicyMux1voWlSXA8UcULbZGVim2suSuIFbBLpp2mFhGRKs0mSjlqZBOUNIgHpBUbMGpaC0XsyDl4fvvv3dd6oMZCnKN3bb5OdamqojKkv8/bty4UHk+I6tUltwVRPv376fu3buzUrBGTJ06lW699VbpQVpKeSrkk/wGUEIsF7Mg5QFFEtyW+iB7QmW15S0qS4DJy88//xwqz2dklcqSu4JYM5JNmzaxwg1Hjx4tcUiwNnv77bdTrVq1WA1emSSF8kQvQxwcuEGaNWsW0e+NslKY+aH6f8+ePWnJkiVh37N48WL2Orwe78P7ITRFYgvDJ3tXFa3lEg9IE0sFwh0rv6RWeNEiKkv2/X4/i6Ll5fmMrFKZck91rr76apYeiUyP3r17Fwucw1IGooKRn7pw4ULWQ1UmSaE8MevG4nUkkJh80003sUVmhFNDCcLd1blzZxZwoQdqUCKSDCc72u5ghsNrPPKwbUVxgpJakiV7qorWcjELAk+QIubWAJRY8IYphFBocZEEUVnGYpXKkrsdQAnBSPFEuI0dO9ayfYJlie9Dc5L+/fszeUyaNInuuusuqlu3LusC06JFC+nfK22R5KWXXqLy5ctLX5SNBPrHoccc8ovg2zYC5QJxQNHl/Ndffw0V0sb9rl27MqWKrTiDRxQZ2qxBGFCi/fr1Y4/Dv47cJnQRQDFkvC9ZyMnKoQUfLaEeg8z/pmanNaCVv6yJe18anlI3ppJzT14zkf745h+E4rD/eTxGUd5pkCpWrUBvrXmJKlQqT06AD6jxgrWzc889l53Lyb7umRdmXTM3K5fsBJMXKEWOKFuMIY8++igb5GXJ3Q5gxcFw0AO/EQ2xQadOnchKRo8ezTyQGOPPOussZoki9xmu2kjeSNMEJZGRkRHs06dP0Epyc3ODTZs2DbZu3Tq4fv16DJHsfz0uvfRS9vwLL7xQ4rnhw4ez58aPH1/s8WeffZY93rdv3xLvmTlzJnuuV69ecf8O7D9uTuC9Zz4NNqZW7Lcl+tbx/I6WfI94G3LDbUGn4PP5gg899BDbxoPf7w8uWLCAbZOdn2f9GrzIM0D3Nu7akte2lRQWFgY7duzItlrZiv/Lkjv44osv2Hnd/Myrg+f3e97wVr9Vd/a65cuXBxPF3Llz2XfUr18/GAgEgnbwv//9L+jxeIINGjQIbty4MaHflSFzRlK2rJyecdHy+OOPs8VimOXhFt9RjB55SEalo/AYLGfU5IULmPP1118bvueyyy5jv5cXwLf6tyeKhTMWUxNqTW/Pmk7nXnZmQr8LQRMyw/UvKX11xNfccMX/KNnAMUTSfSqkPmQdzDZ8LueotZYnLP4LLriAWTewJtEQGm5cbLW9aEWrNFkDu94/ZnVed911CTsX4QkMBw/EgrX55JNPFnsO+zR9+nRp+5IhM9/mm2++YdU10Lsz0aCDC9ymcLfCRRAu1wdVMNAiDaHKYrNuDnKu+GeKwPQXnxfBb0R5KhRJRjNYrIcmA1tX7GAn2ZS73qbOl59LbiLNE3kJvyDPOfVytW6+eAbxcuXKsWsv2SM4w62DByxeIxeVJf8fMREcUbZaRStD7k4iJyeHvvzyS3b/hhtuSNj3RFvoQC+y1rHKEyfDd999x2YdsOLq1KlDiQIL7Vhbxfrkc889F/H127ZtY1s9xQnQIg2fhVY6WVlZrNxUZmZmKPTZ6H14HMpz69atSaE8D+w6dPz+zuP3kwmrcwHDoR1QzYL34rP4IJ6qAUPeMKX7EoFWWWJ9HpNqTGIwUBtZpbLk7iRmzpzJFOhpp51GrVu3Ttj3yE43iYcMmV1V0EEFBxHuTlhrKBav586MdwaA0GS0v3nrrbdYAFAksrOLXD0IaDICCvTIkSMh5cnfE+59vC8p3hMN6LmoBzrNNG3alOxmwz+biv1fWOijUqWS4+Lm+H3OcZlpLRezwFWFZYkLL7ww6V232YdzDJ87tPeIpfsiKktY/FCEGDewhUzCWaUy5G4GdLzSG5PR8UqGy/aGBFqdAJkPTiEjEeY01gCRO2mUPxmP8oQVicgqHMRBgwaZ3l9FSd4d80mx/xd9vIQuur5zypR3sxrtgBqPJwYNGWDNJLv1mXXEWHkePRzdJFYWorIEUJjLli1jHUbCWaVQtDLkLpJXI42ONjJOVSrYnbhJ1e7du1nWA5YhUqkwfIbbzOk77riDnYCoHBEtKGwAcnONAwrgcgCwOsX38PdVrlw54nsiYTS7M7JIrWbL6u3F/l/127qkU57ZFgeVhEM7oJoFgzcKeaQCheEmPxbPi0RlCYOAN7lGtxTcN7JKZcndDMhnb9u2rdTP/PDDD9nvxYSAN8y2A7jDka6C+BYj4A11nPK0ypz+6quv2PokeoaK8MoSO3fuDOVdfvTRR0yY/IDt2LFD9zOhBOGyrVq1akgRQlmecMIJbN0T79Pz4/PPa9iwISUDhXnFR5/ta3eSW9BGNxqRfdg4WtNqtJaLWTBwwfLELdkLJRTkhSmSUGh9kQSuLGFpQhGiTRc/H42sUllydwrvW+SyNQIZD4ishRzC5YVjgiOznrArpQdFh/QUPaBE+XNcoaK6RJkyZVgRYShXJM+K4KQG2qAfrOGiazqe1ypPCAmVirB+cPLJJ1Mykp1p7CJzGtFeFFa3rYrFcomHWIpJuBlvnnHnFH+htdG2orJk3+/30zPPPEP/93//x+RpZJVigiNL7nazZs0a+vvvv5mnDuupVgNjCi3ScHxh/DRu3DhqT2C8SF8g4VUeEHWL9BUxGhZuy9mzZ4d1n0Yz4OjdNm/ezJ5H4A1/rFGjRuwxhPF369aN3f/0009LfOZnn33GtqiNqM3lFJ/XCg3KGWX+kiXHU8uezfvJLeTnRhdF63VQqgofUOPN+8NgjEE72a1OUJBjbF36vdYGg0FuyDIQ5YcJup5suaLFVpbcncB7773Htqi+Fi4gM5G5/ljzf+GFF2jfvn0s+wFLiEY3xypPKKYmTZrQyJEjmR8c5vTatWtDz8PqwywBEblWg30CMO9Rm5aDkmavv/46cwUPHjy42HuQDgP3LfKXxH2GkO6//352Xyyq4Gb0LLecg+6xPAujHDgLLK5/Gg5xQI1XdliqSIUWVwf3HDZ8LmBDIwGuLIHY5ForW1HRypK73QSDQZoxY4atLlsYZChNOWLECMsnj9KUJ5TQtddey/z4KF6wdOnSEutQCKXHOqIdyhMWIg4wLONTTz2VuRjQKQVF4THoIO1F25kCXVTefPNNtp6BKkOwXq+88krmBt6wYQNTyMlS1/bg7kMpEUXrpAbbepaLGXB+3nfffUkfaQuyjjrH7S4qS4BxBEEz2EaySmXI3W5+/vlnluOOZTDu2bMauItlBgHZsub51FNPsYsXXUr0KvIAnGR4DmuFdoATHYrzlVdeYfuJiDcoVXSkOO+883Tfgyr9WPfkC9KIkMP655133mlYINmN/DbnT93HD+87QlVrOb/dVbQdKgIWr4vFYrmYBdcdX2JIdgrznKM8oSTRGAJLOLwQwpAhQ0Ll+fSsUgClKUPuTgkUuvbaa22buGH8hqvWDqT9YuR0wnw2UpwcRL8iL0g2WN/ECQuLMBzIDcXBRoQtKgqhpKCR4uRgYR+vw+vxPhRoSCbFCf74tnhpQs7q3467uJ2M3xut5VnoWMslnmAhfEYqBA0VFjjHWhOVJf8fk21sw1mlsuRuJwUFBaFYkOuvv962/Xj22WdZNbgHHnjA8mULaZYngoBQOzYSUEAK57HjP/20lH2b95Eb8OZFFzCUneVcy8UseC8i0JMl9SEc3nznlFfkypKDyQuWfiALRNEaWaWy5G4nZcqUYS0b7QbLbZdeeimNHz+etY3EMhrKpupZwpAJvIyykCY5+L0jlXiCZQiXLcKJFc7iyL5M3cePHrK2aotZ8qOMos0JU6HGbsvFLLiu0NQAnh+3pz64qUG6qCx5IQQ0qODl+fSsUo4MuSuI5TbjnMfxRoct3IxwrPKES2LKlCmsMMHVV+u3hpo2bRpt376d+cgVzsJrUJXj6H59peo0CnKN8/9ECqN071qBdkA1C9bQUHkLywnJPiBbH09rjKgsxfKhNWrUCGuVQtHKkLuCmOVpF9KUJxKDEbb8v//9jyXNIiUFYI0Q/8+aNYvlfMK1e88998j6WoUkCnP115LcUmXI543OIvE7KJ1DO6CaBe/9559/KBWwuu1YJLiyBHDHIr99xYoV7H8jq1SW3BVka+yJtGkq/MzopoIT6fnnnw9Vz8Ci8plnnsmiVXHCoEhCrVq1ZH2tIsFsXrHVFcc42mABf2HQ0ZaLGXhlG7enPkRDlFUYLYErS37uQREir12rLLWtEWXJ3U72799Po0aNYml7KEKDtD4EiyJlKlWQ6uPBmgsaT0+cOJG5cVu2bMlK1yEHCBc3nuvQoYPMr1QkmKxM5xRSD0dhfnRrnr4CZ0Wk8gE1XlCAJCVwkPIUlSXA5AVRtHwSI8pWq2hlyd0OUOChVatWLJ8fv71v3750zjnnsAAiVPpJFaRPfVBXEKWncFO4n6CDLDUZ7tho80GtQHTzxeO+Q8oDetymBA46HaEkcdzvuusuJgMErSBoElutbLmiBXDbypC7XRYnDKO8vDxWea1Pnz7FnkdxHKvB8f7ggw/Y/qB6HPor6zWKgCcUvZMdpzzHjh3LChBoD6aWOXPmsDXQRx99VNZXKxRRl+dzkttPHFDjAQM1Zv8YPNzsCnQborIEOPZvvPFG6HlRtqKilSV3OxgzZgwdOHCAJk+erDvWn3322ZbuD4rWoEAImsEbdVbi0biOddsiZBi94iKBNU8U81U4h2RIrg/XqkrE53dOwJDWzWcWRHai+EeyR9o6Da4s+YQFkxhE0fLyfKJsRUUrS+5WA2sTVYUqVKhAN910EzkBuI7RiBt5s7A6UWMXyhJFHNDxBXoJ+4u1WNleJ8unqThh1EXuzo4kTqYwyrXMoC/oWMvFLLieUHNZYS1QkldddRV9/PHHoUIIqJmNLQZqI6sU75Mhd6tBZTa4RDt27MiChFB1DWVO0V0KsS0DBw6kunXrWrpPOPYIVkKmB5Qk1y2w7hHMBA/nBRdcwG74/+abb5b23ZZPVXHSoO+awjlkH3ZHUFA4CnKimwAEAkHHWi7xeA4Qa5AMHgQ3ISpL/j8sH2zDWaWy5G41q1evZltkS1x+rLEGAoSQ34/0w2bNmrFuWlaCcqxwFUNxAi4L0arv1KkTy/549dVXpX53XNLTavFffvnFULPjpEG0LWYvdjRNVRiT65KIWinFDwLOtVzMgvfCZeW2wdjtcGXJweQFlteuXbuY69DIKpUldzNgH/T6D0eqDieWVsXSW3p6Olv3hMcDpVnRbAMl8pB3iUhcxL9YAfYDnbo4XIkisAl11MUKeIi3kUlcknv77bdD93GyYBYQqTB7u3btWB6owjkkQx9If2GU60ce51ou8bBnzx468cQTKdWBu9SqZSFRWfLcTlR54uX59KxSjiy5cwpqBCmnofHM0Lsmfo8LXzPEeDFu3DgaNmxY6DmM6WhPhp7OuI/oVyuAUtyxY0fof1i/AB2wRCMN5SvRvswxypN35saJglxOhDCjur0eaP+FE61hw4bxfKUiARTmu195BqJdP3KO17bEgGoWDGawAOBWc1vqQyKiL/Usq0QgKksO1v8iWaWQkV3NoxHU2bZtW1PvFZXPTToBQ3gMynPRokVkFcgvRfU6BAihWD1cyXAhI1US5wGU69SpU1nwUO/evZ2jPLt06RK6D3MdvmXxMYU7yMl0TqcRsxTmRxdt6yS0A6pZ8F64bRVFHjAr4cqST2IuvvjiUHFyI6tUltythhs+5cuX1+2ghbaQYN8+6zoxYR0ZgUvfffcdU46wPKE4sRbLe9zCuIM7F+VhZZKRDAV6FdYUVXcyBVF2VXESepaLGRAcgWAIuNHc3CNSmvu+jDXfJSpLXggBjS/4gG1klcqSu9WcdtppoZSVgmOWnghvUSbbPRoOKEhtf2ikr5x11lnMysY6LSKBhw8fTs2bN5f63dKc7nv37qWffvqJbUVQ0QFdVtq0acNMaviiFc4iN0KbLjfkozmp4LtZy8UsGKhRGN5tqQ+JIPuIdV4Uriy59Yg1QUTR8rVBPauUxxfIkLvVNGjQgNq3b8/Os0U6rln+GFeydgKdgw5f8+bNY8UpZCtOqcoTtWuRS3P06NHQY+jwjZwg+MGxHvPtt9/ShRdeqFxMDiPrUHjlmeWgHphu6bYRDdoB1SywYKZPn+46SyYR+Aqsc99rlSW2CxcuZFutbEVFK0vudnD//fez7ahRo4pZfJi8weIDt912m2X7gxxPu5YKpSlPnDStW7dmJrIYjQtL9JprrgkVjIfJzw+ywhnk5oSfBRe4oIiCGwcireUSb8CQG4+BbKzs1yoqS4DJC6JMsQ1nlcqSux2gFzPiW1asWMHGe7hNESzKC8OjybeVBTtwzqOjl6uVJ7o6NGnSpNhjaFGGEwmlqGA2YyEXZr+V0ViKyBQWhHfLBnzOd9t6XbjmqbVczILITgxiqnKXtYX/RWXJB3JE0WIbziqVJXe7QHzL1KlTqWnTpuw3oRg82pHBWMLjVnLKKafY1lFImvJE2SZEYYnrZL/++iudccYZoWaxAG3KxLwchf0EI6xp+h1U0s6IwgL3WV1ay8UsqratPe57UVnySF/exzicVSpL7naB3zdkyBBW8CYnJ4eys7NpyZIltjSmRqF9FOfBzWqkLZIg9FrsFIAfg4PatWvXYq/DiYacT4VzyI9Q2s4bZa9MO/EXuk958gE1XpD6UL9+fde6AmXis1B5isoSINJZXO8TZYtxD3mQsNpkyV1BLKbmlltuoR49erAt0lUQ2GSU64vnHGd5ohE2qjjARQt/+OjRo9lJpU1MRbIqElcV7ikMX5Dn/DxQKwfNRFkuZsFgvHjxYhUwZHHaFVeWPD0IkxjkOmIbziqVJXcFseMNFzhiaVAiEEoU5QEbN25c4qZdVnSM5fnggw/SzJkz6d5772X/I5wZ0bfnnXde6DVbtmxhUbeDBw+W9bUKCfgjrGn6vAHX/wYnorVc4sGtLkDZWFn3H0oSsRwoUMELIfA4D8jDyCrFkpYsuac6nTt3tu04ZshcuIWrdtKkSaxZKtY60UNNBDk3CBhSheGdRTDCiOOG/EE3Kk+tm88ssGCwPILJaaq7ba1c8xSVJady5cq6stUqWivTOZKZhQsX2vbdUisoI+LqnXfeYSfU2LFjWZskkVtvvZX+/vvvUNkkhTPwR7BalHspMYhuvnjAYIyIw1RXnMBn8do3V5bsu30+1k0EW61sRUUrS+52gYmax+MxvCGfPxVQWdUKKsgLn1juzXXBRe584zgqy8UMcBEiEAUBKcmcrhJNpatAtN11JMCVJTra8PJ8Bw8eDHlrjKxSWXK3m/79++uW4kuVmBZp0tu2bVtMr5cZ9aSIj8Jcb1wBRU7ABZ7liJZLPMrz+++/Z6kCyaw88yNM8thrIhT8kImoLLkc0AwaRWFggelZpVC0UJoy5G4348ePDxWDT0WkKU8cxGgXbnnEmcIZBCKteVoZhWESv99955PWcjELBmPU8Ux2vFF0zolGwcpCVJaYtOB/lCJFo2tYnkZWKdy1MuSuSBLlaRT1hBMK+WewTHEfKS0qz9NZFEZYJ3JD0XX0cXQbWsslHiWMHLdp06a53hUYLwG/dQFDorKE8sSxRycPjpFVKkvuCnvJsCrqaf369ewCx4wM/dcUzsGbX+D6NU8rB81EWS5mwaQVLZiSPfXBQ5F/X9BvnZdEqyyxJnvHHXfQ5MmTmSyMrFIgQ+52M336dDYJwG9ATXNkUaTScpxlksPBRR4o8jzHjBlj1dcqoqAggtUWyTJ1An4XFkngA2q8OZpIi8Cgney9PANRBAxZmVYFZYmUEzGQibe+0sqWK1qeAypD7nbz5JNP0pQpU9hkYcSIEawR9RNPPEGpgqXTHtS47dChQ0qsz7iJQH6k2rbOV57eHOdbx1rEATUesIaGIt1uTX2IFifmG4t9IjF5QZEYbLWyFRWtLLmbAdYhcvK1t1iX6N577z3Wqzk3N5d1zBo3bhz7PY8++ijL9bcK9JCGVzMSyK/Fa2WSZscFoG2YrbAXXzDCDDjofHegzwUNu6OxXMxg52BsKVG4pf0B684DUVkCTF6giLANZ5XKkrtIRvV8KlM/2/CWcYK8mADk8F9//fWs3F25cuWYV/Ghhx4KubAfe+wxVi7PqpzTZ599NuLrnnvuOVbxTiaWXm0okIB2ZA0bNrTyaxUR8EfIjXODYgq4wDrWQ1aHezQFTvXuPyBg4Zonj5pFI2gEAUGJoi0XtjAS9KxSAKUpS+6xAgXXtm3bhHx29+7d6cwzz2TdVn7//fcSTUHs9EgkwmuRIXM2YgS6q8C0RqAQIgNRaUjhHPzewriedwJuLc/HB9R4wDUFi2f//v1JnfrgjbC8AAotDG4TlSVAkBCsMWwRRCPKVqtoZcjdiTRv3pwpz927d5OT2LVrl25BB0coT5jqOGnCaXj0+0QB+ZEjR8r6WoUMPOG99y5I84wqEtNpaAdUs+C9R44coWTHF8UEyRewzgMhKkv23T4fq66D3sbAyCqVJXcncvjwYbatUKFCwr7j3XffLfb/hg0bSjzGgUywJjt//nw655xznKk8UR7MCOR11qlTh4XTJ/KgKswRydVlZcmzRNXndSJay8UsiNr85JNPaODAgbalPuTneynnaDZVrla8nrVM0jM8FNCszweP/XEqVa/IgliM2L1lLz186VOYbVGTdo3o8c/vj3k/cIwhM1FZ8kII+fn5IZkYWaWy5O409u/fTz///HOoznmiGDRoUGjCgi3a8eFmBAw69PdEMJMjlacdXcQVcghEmNE7McpRixvD/rWWSzy/Hc2VBwwYYJvyHNxyOP22/WfaFFht6ffWrV2Xdu3ZFfp/4dAviIZG+eatRE+XHh3zd6JbFIJURGXJ5TB79mzq06dPWKsUgV0y5G4HS5YsoX379rE+zaLyR0cfBBHl5OSw31+vXr2E7QOUIPdyYrkQVnzfvn0NDbe6deuy9VgYcDJJ8vA8RTQEIihHv4VBGGaxMjleFlrLxSwYjOfMmUN2cvRgJjUOtKK13n8sP4axTO5uPWMk7Vi7N+Tqn3nwLapQqXzU74fLtWrVqiw1A8qDK0teCAE5j7169WL7ZGSV4jNkyN0OELuCBgS1a9dm1mWVKlVo69at9Ndff7Hfh7V3NKdOJFgi5MCCv+iii2ypHaCUp4IKIwQERXreCbgxYEhruZgF0ZvDhw+nl156yTZXoN8XZNaA1cog1u/L3JNDGZ7jw17ekTyqUu2EmL6voKAgpLi5suTl+VCgn2NklcqSux0gT//2229n0bR//PEHW+PEUhysvyuvvJI9h/QVq4DFaxemlSfcDmbBRYYEW4UzSIuQ7ht0gUs06EIXmDigxututbu7hVsK83sLik8EMw9mU50m5mSmVZaYxNx///0spxBjnJFVCmTJ3WpatWpFr776qt274Qgy3KjxFXLRBmFo8RW4wKpzodtWHFDjGURhbWIdzk4i1dlwCj5N8FtOZk5M79e6Zrmy5BY/3Jja12mtUq3FqjBPt27don4tJjQ//PAD2a483RigodDHXxhBebrAJRpp3daJaC0Xs2ANDetPy5Yts28NzS3DgeZU9nn9pmUGS5MrSwAF+sgjj4T+N7JKZcldQREbkgAeXCQ7QEtNexQRLc9IytUJuKHnqBYMqEiWj7dMGwZtBGkkW+qDFeTF2DxblBlXlvy4w6JEOh62erLlilaW3BVEmzdv1r1hWRCKFWUDUV8AnplNmzZJPWQqYEgRRRUE5yumoFv8hhpEy8UsmFG3bNnSlakPdpN1ODa3rSgzKEn0J/7111+ZNQkX7PPPP8+2sHSMrFKtxaowT7hSr40bN2ZF7OHa7dGjByuSILM0rDTL88cff6R+/fqFkmT1QFV7vCbe6vZIgkaNxsGDB1OLFi1YAiwivtq3b8/yflAO0AiENp999tmsVBPqgfbs2ZPlLoUDCbh4HV6P9+H9RhUtkrDAkC29MvNy85k7MtpbRql0ZkFHc4vm8zat3EJ/LfiXVi9dT6v/WE9//vgP7dost+SY1nIxCwbxmjVrsq0iNvJjtDxFmYnKEmDyggGaF0Iwskplyd0JHDx4kGrVqsV+M1qSOREoT9TcfeaZZ5xpeb7++uvMj//OO+8YvgbhzN999x1TdpgRmGXGjBk0ZMiQUPQXotYyMzOZEkS+DxrNogA9hCpy9913s3Y5CKVG0izCxbHP2KfPPvuMtevR8vnnn7MGtljjxT6jrRoWnVEUYvny5TR+/HhyOxnN0si30lhBprW11vJcuXMNXTXoalo9f3ncn1WzTB3aX7C7ROK0GVp3bkerFv1LstBaLmbBOqfd7cg89YmCx2sVOBfUzz8k/N84YFpmUH5cWfLnMLZ4vV72mJFVKkvuTuDee++lAwcOkNNB0QbUVpeJNMktXbqUTjvtNKpUybg8V+XKlVlgA3KE4gGDxdChQ5kyhPLkoBjxZZddxrq34DkoWQ5qG0JxVq9enZ20vKsB7qP6PxJ/sRXdKYcOHaKbb76ZuVmgRGE1A7RU69ixI02YMIFFzFnVPSBRVHuj/PFEc09RRSE2IOAhD1HZqtbOkA9nHKTTx55OP3+xgCqVjq/cm9lAgZuWDmG/H6XfQsdCcoSA1nIxCyZ2X3/9NTv37YrePPFjuUW3E0Wdrysdlyt5KP2k2N6vVYJcWWJMgiLEY9xta2SVypK73fzwww/MWMJYPHXqVHIqaI+GnFQYbTKRJr09e/ZQ/fr1I74Or4m34j6sPli6ouIEKL+EEHAwc+ZMdlJzJk6cyLajR48u1g4IM0D01kNh7enTpxf7vGnTpjGLFqWfuOIEJ554IouaA1CgrscD162n6Hbs4saW/x9Ms9byzPHmUFp6GhWmFYaqs5i9wcqM9T2sdmmpdEovnU4ZpTNC99Mz5E4ixAE1XuX54osv2hoBj2PmBmXAz2t2jqd5yBf0mZYZV5bceoTCxPIVn7DpWaXYypK73Qrp1ltvpdatW9OoUaNs249t27YZ3lavXs2W9+Bl3L59O11yySXOtDyx5hhNk2vURZQ9AxDBuidAFRD446FQIWic1AD1P7XgMVRnQYkzsVUQZvNG78EsH78DFi3cv4n8TXZjZYNhkB8oquDiDdjjiox1QDX9PRrLxSwYvGXmr6USscpalBncthhXLrzwQqYIMXlB6Tg0XYYCNbJKZcndTh5//HEWvYrlMTt/A4qDRJqEQBaIjYG170jlCZftL7/8wjR+gwYNdF+D5xBQBGsvUfBwZAiUNwhGSxooUwRV6BUs5h0AsIYp8u+//xp2CIBF06ZNG9a7DvUe27VrR8lKwOI0kKCnSFkHbUoetKoQvjigxkNW3lZ6dPREGv/cxKQIQrGSQv9x71SsMsNyDleWvBAC7+6Bc0iULbdKoWhlyd0uME5OmDCBLXV16tTJ1oI5iEMxUp68m1eXLl3ommuuca7bFmuDUFBYA4RC0YLHUIkfgQ14baLAuiaAiV6mTJmQ0gZGlf5hNWOtE3UaeS8+uGuPHj0a9n38cRRGdjNXVNpGldPy6QTcPPl0AuVRFWzT8qlKWj71q7LZ0v3pWPo/qpd2lE5MtycQIYO81KTUkaLjwY5FHrvftozc/RHdfGaBtXN4z2WUHviU7KRrmW3UNF2MxHEmZ5XbQ5WPneNV0/KoR6XNpmXGlSV320KZIooWW61suVWKrQy52wX2/5ZbbmHjJV+6shPkci5YsED3Nm/ePJZdASWfCM+gNMsTmn3WrFksahXFg+E+bdq0KXsOCauw4nCyXHHFFXTDDTdQIpg7dy5bt4TV+cQTT4Qe56krSJY1AgoU655Qngh6EtNdjN7He5NyhRsJdBzQA8eHHys76FN1K7sZUsragKjqtIqeqLecqHArUdnE9QU0Is0TpEfqrEj494huPtNWyL7+VK+cl557oCJR3jdEFYtqp1rNjScWnT8Bv5fS0s1FM1vBsJr/FX+gVOQ4DRGtaxb3ceMWP4961spWtEphdcYtd5Mgo0BPkaxatSqq97/88sss+Oatt95iwZepjNQ46Y8++oieeuopFpyDLum4cTBTueeee1jFh0Swdu1a1k+OR7nxtU+FGznWNMC71qbvt2aNVxxQzVAUICQMetn326Y8QwSxXu1c5VmCGNc8RZnBwhRThKBAxVxCUbbcxYtbvHLXo2nVg9TkpCIPmx7/VjpK8fpN4MFDwCXcoIMGDSK7gNW+Y8cOlruJgKVwIGgIXk8EqmKy4ljliVkUDu4DDzzAdhgRTgA7fsYZZ5jOr4vEzp07mZsWbteRI0fSiBEjij2PwgYgXId5NHEFPNWGv4e/D2k2kd4TCaPZnZFF6hgsCqA5zr6iTeEvZA/W/F5xQDW1Vpk/V/OAjwKBAkpLK1quUERBjJWptDITlSUsSvSWRBAh1uGMrNK45R4HiD5t27atqffecccdLMjptddeI7uATkGwJnQKeohGAq+DtxPK9r///mONsWWRkAxduE0RFJTIwCAxFxOhyFh3hG9br2gBD2DCAdQDShAuWzS55YoQyvKEE05g6554n94Mh3+ezJJPzsSuFIg99nythaX+4ipu4NUpIuE/TJRWm2wj6Pzer8WJLWBIlJmoLHkhBNRQ5XmeRlap1mJ1C1999RXzICK1T4T3JoURw3Pe4YVEw2zZIH0QChzrrdEYLXgNPJFwV2NJTyzcHy/uDPc6BtYlL730UmaaIw8TxbH1Iq8Qpozgof379zMBa0E3CqCNmOWuX/68CE7+lStXsvWDk08+WeKvUhzH2FOQDG5bPqCatj58RZ6dYgTsLvPjshKBx9KizMhMVJYAW16oQitbKFooFl6eLy652wiMDKSnLBJuvOgNlCh/LFHNvlERDlkTetXgjEAFOuTmy64w5FrlicheFC9AZSMU/UVJPqOTETlVvO/bp5+WjEpEkBNANLAILgTxee0sDCcIZp7JnONpr+UZcJz1JLMQgTigmvuADTqPGa97WYPLLCp/oWmZicqST6gxBmGrla2oaOOWu03Amta7bd5cFLGMoEf+WKKasyO2BTWCYwXro0hZpFRXnnB7ILoXC8fIM0I1oUjrqVgLBU8++STzfXNQng/ViuCOQKF5EYRkw3375Zdfsu8QCz2gNx8QiyokLbaF1Nv1vWEGNYnKU2u5xM7hkg/5ba4z6nFZ+kWM6/mizERlCeC6hWWmdeHy93FFG7/cU5ecnBy2nBYreE+4hiFmcGVV4ldeeYWlxQAUah82bJju67D+iecBLEQEEiEPFAXqL774YuY7hxsAMyWEXmvbBKHIwptvvkkDBw5kVYYwW0R4NtY4cJFAIbu9rm10uLPdV2LW7XzSLhs+oJpHZzAIRK7ylVD8uS4bVfymZYYlIq4sAcYRFBBArIdWtlCw8FDBW4WYkPjknrpUrVo1qkp2WvAevFcmrjrNOYiq5XAlqgei2bjyBKj/CcUJ5QulCWsVShWLyOedd57uZ/Tv35+1UIPF+ttvvzGFi+ChO++8k9XYTQkCXuu+ymfXOmeU1khQ3nqodkCVMqkJHEqxyOx4KTAtM1idXFlCkcIjhohU5EHivihb0SqNX+6pS+vWrdk4jJKrWI6LBmRLwMOIVpIycaXfAErRyP8u3vT87shPQhoNzH8oYSwiGylOzvnnn89eh9fjfbg4UkZxgqB1ypMCJQO6ktXSFgdUuXmWduKyNc8Y91eUGVeW2AIoQuS2a5WlaJXyykTS5W4jjRo1Yr9rwwadNXjJoIIdxmAYM9GC10LZamNaUlJ5KqzGwsLwwcxi/waODUyWEq7OtEeeYhUHVHkfmpgox6hxXaOQgGmZicoSQIkiipaX5xNlKyrahMg9RbjttttY5CyOM5RiuAA+PIdKc3gt3oMuMDJJyNQHUWToaIKIWCOMiscrnIiF1kwgT2f90eKQ/rCuWXkDnujmkxY84ttPtmK38o4Zv2mZ8WpmCP7hkf48FU4rW65oAdy20uWeIpQvX571VsZy25gxY1h64pVXXsmadyCFBSAlEemFyKxALj5c5HhPuPKstitPBNLwtcFwScBYH3BbmHZqY6X1p3UR4zwq6yBrRN55Kw6ori8sEcKX1G5bUWZQkGLeOBQoar/y+6Js8VquaBMj99ThvPPOoyVLlrAa6aja9sILL5R4DbfqUb3t/fffT0i5VmnKE3mPKIOEkwRRTY0bN466bJ3C6VjoiwtoiuwHYYlWcs6AKtHVJg6o8hLmbV5ztH3NNVYCccmMK0sAgwC550htg4EQziqVL/fU4tRTT6UVK1bQt99+y/ouYzICbydARgSeR0Sz7AbYCVGeaI4KHzNmAYhEVSdFMmHh2oxf43YMIG+xlnXfX/Sllh0LvYpXrrb8gsnvVeEyE5Ulz+1EQCIvz2dklWotVreBxh+//PILU17IeUfUMErxoWA8JgRma+eaAcoxkQoyHNIc7jCfEbKNXEqlOJMNK0dEreViQ8BQIMx3HmvULQM+oMq9Xqy3PIsFvriutm3QtMxEZQmwxfobL88nyhaKFpYQL88nX+7Wgc5Z33zzDcuDR3Nv/C6sK7733nusAQi8kKmANOWJLiQqCChZsTLatsABbsCAJcdCHFDlYf1kI+gXg7w0AV8OIqB7nH2mZSYqS4A4DyxV8fJ8omxFRZsYuVsHLO3Dhw+zmraovIYbSt9NnjyZ/XZUZnPrb7NFeSL6CfmTCkVcBI9q/tcpQZdowlmXEjuuaC0X9+K3JyfYBg+KKDNRWQK4blH6U+vC5e/jitbtckfee1mdet6o9Ib6tqjmg2YdyY406T377LOUmZnJenmmwqwjtbDQbRvI0Xy15n/bq+TIO7e1lotrEd22Tq5tK6E6lCgzUVly9uwpinYOZ5Umjdx14Dmvierd7CSkBQyhNizag6GeLHJqUPO1Xr16uicIItFk9lVTJFFt26CmPF/AhnJ94ayngLw1PQykWDdCT1p3l2nzubg8X9C0zKA0oSyRgA9gNEApcqtLlK2oaJNH7sXBmifct82bN2e3ZCdDZsk8KEUED2zatIndjFDK021YuI5WmO0Ay9Oar9GzXKJFZms0qZlMEmv/Sken12+s57YoM1FZQgnixjs2YRzUs0qhaOORe7ygD6aeyxUBn7Hy/PPPs/ehXN6aNWvY/bp164ZtD5lMSLU8FcmKlQO11m1rRwBKuGhbud8kWi4x4STlKUb4Otry1DtmAdMyE5UlT0F59dVX2dofPG5GVqnWYpXB6RW3UJfqxUtbihSU30P/klzmzZtHP/zwQ+j/hg0b0rvvvssiblMBacozpQqlpxxWFizNdkC5t4Alblut5RIbDlpbFBWmxFQe+ejtW5ppmUFBcmUJSwvWJpL1sQ1nlcJta17u8fHFF19Iy8OcP38+26LIPXI+x44dy3I9UWXu4YcfpmQn+VasFclledqx5hm2+Ls8pcUHVFMDqJOiWsV90a5ZOwkJkdKizERlCWBRTp8+nW21soVVitxObOOSuwOpUqUKderUiebOncusTsSzoG5vsqOUp8JhVo7X2YXGJUaTigNq7DjouIi5uI4uzxeUUhiey0xUloBbm9hqZSsq2vjk7lxKlSpFV111FfuNc+bMoWTHtNu2W7duLPDnnXfeYVG1+D9a8D7RV65wOlZanpo1MzvcgGEtFHkubK3l4t7WX353rHl60qS0JBNds9dccw0LkOG5nSh+gC0CuvSsUoD3mZa7w6lRo0aos0myY1p5Lly4kClBdOnm/0cL3qdwEwH7vktiUQKntSQTB9TYcZKSCrgj2lZXdkHTMoOC5MoS8OIH/L4oW62iNS93Z7No0SK2RbGEZMe08ty8eTPbnnTSScX+VyQjVoadWx++X4JwczuJylw7oMaEk9yjxerZOkmpRyO79LhkxpUlDwSqX78+bd++nRkIRlZpXHK3mcWLF1NWVhZ17969WA4/fvtrr73Gcj3LlSvH3LfJjmnJISw53P8KhTm0loANrq2wjhF5lpU4oMaMo9yjvpRJVRFlJipLXggBygVbuGSNrFJgWu42g0Cnm266iblnERyE9l8HDhxg0ba7d+9mOaRvv/02Oy7JjrumPQqbsNIVpxl87ejSYdGap3ZAjQ2Hrpc5ekkmKEV5cpnBuuTKMvRpx/JvtbLVKlrzcrcXpKI89NBDzD27fPlypjhRiq9Ro0Y0YMAAGj58ODVr1oxSAaU8FVEQsE9Rh00bSRDhAjkkKgftgBobTlVSDl7z1D1kAdMyg9IUKz3BHYuypFu2bGH/G1ml8cndXho3bkzjxo2zezfcrTybNGli+ksxY9u4caPp9yusJmjfd4XrrZmwXQijmCQGxIgDasw4yj3qt1deUROQKjNRWfJCCLzJNdy2RlZpXHJXOAbT0sMJw2vZxoqKtk0cwaCP/lp7H1Wt2JIa1L45qvcECovLsKDAT36/hwqDaVS+NJ6rQmnHoqqN4A2AtfdjBUOv+M6gHcUAPAFmfGqNTPaY5ImE6Rq1Qb/+PpIdFO0L8AScpNQjHzM/eWJOducyE5UlfxxlSrEmiDHOyCrVWqwKdxL31AeLxtdffz317duXRVkp7OXHTevptof+oA1fvEhEt5n6jMqVy1Nmpqgs4SWoEPX7e/XqxRrmmgmImPDvWXTTyX9RIOAhjydI0zedRg9fRJby9Y6m1DajApXN8LHJYZDSKI2CdMRblgo91altbTnfo7VcYmFjdiUqPFKFqpXJO2ZPFe3jn/tPpF6S9i9alh2oSZVzKlOlUgX0yc5TaURNciT78svQvsNVqWbZPDbJwPF6678z6MHa5mSGCSJXljy38/vvv2elSnHeGFmlcNualbsiCZTnRx99RB988AF9++23NHLkSHr00UepX79+TJHyAgoK68nyBsnXpS816tyH1t95j6nPKCgooDu/+JwW7NpBa6L8DK3laTaScPq6tjR13fHam+fWLkq6tpJD+WWo28/X6z73cX95aTtayyUW8v0Z1Pd7/XSAXh3IUjK9GTRw3jXs/iWNK5FT8fqILp8/sNhjOEsf7GFOZlCkXFny/p4YFzlGVmk8clc4B9Ox0gMHDmTWBcKTUWrqlFNOYdWGkP+DxfD77ruPVdFQWAtzS6WlkSc9PTTjjfVWsWJFSitfntLLlqXy5ctHvCE8HRMpKE/cEKpu1i2ldTt6bVhDC4aZ+KVJDNTBMUKyvJljFbSjeIQBXv9xV21+oQ3R0VESTPNIlRlXlmJ5PkTRYquVLbdKsY1H7naCgjgoLD948GBq0aIFu+4rVKhA7du3Z0Xhs7M1TR2SnLgTjdDUFV0FlixZwoKA0NcTHdMnTJjAXLpt2rShZ599lkWWKRJPUFLt1VgubO3AwO+b+t4Sj1i/iucJFzAkkXiOVSDgnFQVcVecs1c66ByzYBwyE5UlgLftrLPOCq13irIVFW2814hdzJgxg6644gp688032SS5T58+rCA8CuSMGTOG/fZ9+/ZRqpAmO4wZFfXRGPX333+nu+66iw4ePMjygnBgFYlH1vXojyEQTBwYtLPxWNE6Re3QEYEwVp3M4S6eYxXOOraaYoExDlLqWrB6rSU9DpmJypJ9Vno63XHHHWwbziqN9xqxC3ilhg4dylqprV69mj755BO2bLdu3To67bTTaO3atXT33XdTqpCwEheoOIR0FnQWx+K522ZZbsUnyZ0Xy5q1ODBoZ+Oxot37gB3Fs8NY7zL3J55j5fM753ryCuk7BT7num39EixPUWaisuSBQKjpim04qzTea8QusLb7+uuvU6tWrYo9XqdOHZo8eTK7P3PmTPJ6HdQuL4FkyPaJ4+Bh/QtdU9By54QTTqAhQ4bQDTfcIPOrUp7Ve3ZQ8+olO9GXCiIi308Bvz9UtP9gbi7VrFgxplSScNaXFu0MXLwfK0EHuyeBR+Kap/a4xfZecgzifMKWyU6U6C15BuKQGZRky5YtmcXFCyFgTZC7ZvWsUoBxMZ5rxIm0b98+FGwIbyMUarITt/LESTJv3jx6//33afbs2WzARrkm+MMReduzZ0/2v0Ieud4jNGJ0F5o/fZPha6rVrk0V7ntI9zmsT2BtOhxn19tGf+2LzooQBwYg3o+VltV30NqDxy+8M+tZ33CgabU9x8oE8sEN2yClk5+qlz9CRPWkfI/2uMVCtXKZlE5e8occj0X7WKmUppm4BTSospc8VMiO0Bn1jM9Ju6lUtqDEMWtdc7dpmWESypWlGAOifR3QKtp4rhEnsmlTkdzx2/gxSHZMK0+sacLC/Pjjj1nvNsyiOnfuzBQmahzC4lQkCi8Nvb8Svfzkp9S0el/dV8AlxAtYfLHxXGpU4So6q/597CJGENfDDz8cNsesTe1NNO6SpUQ0OuLeiAMDEAeJWBncoai1HSbl2P0KnpPJak6sdIie7/mRbpGESmUulvY92gE1FiqWyadnen5SbB+PG32Pk5XUKJ9Fz/X8mN2v7Cnu0nMSpdO8xY6ZGSNZlBmUpqgocM0h64D3sjSySuORe7xcfvnlLEpWy6pVq+L63EmTJrHtJZdcQmXKlKFUwLTyPPfcc5nCbNu2LY0aNYquvfbaUHsyRWIJUoDS0z1UqlRROooe4uNly6dR6TLB0EWMFKNIwQqxuCfFgQFoZ+OxICoD3JeZGhI1wYCuW7ToMbn9PM0eqyB5S+yjfV7A4HGFJCnaOxEEdc6vWMM+RJmJypKneR05ciRUns/IKo1H7kacUaaALq9g7HVYUTpx65Bz585lqTf4/U888QSlCnFLD1FXsGJwixYoXfjGFSbhqRQxrEv6he4k0blVYlsNEj9TptsGEwXL8RgPqAHJ+2P2WAWcVIBdKN7vcVD+qRaPhJZkosxEZck+KRBgEajIgccYZ2SVai1WK4HShsEji7Vr1zJvIyYLzz//fGjtMxWIK9oWB4xHWMZyg9tCYR6UrYv5sj82wPGLOGKkXwzR0eJnRv35Dlae4RWT3Ghb08fKQYE5fuFc8TtJqUeRqhJrdxpRZlCWSDkRCyFgKYvngIqy5YoWW9nXiF3s3LmTuWkPHz7MqsyNGDGCUgnTypMnxJu9KeLh2CAQS0TsMWtVvIjDEYhhUBE/M9rPj5aAtr+nBXjCnZ8SdVY8x8pMQ4bE4XemRRyV1yBoWmaisgSwKOfMmcO2WtmKilb2NWIHhw4dYtXktm7dykoOjh8/nlIN97UyV4SGgFhC3f3HcvG0s2UjYhkExc+M9vOjx/qFvGAYt61M7RnPsXKU7hRk5OTkC49kmYnKkqegIIoW23BWqfxrxFpQhu/SSy9lS3aoZ/7GG28kVdpNtCjl6VC8hcdd3Nqbz1tAvsIg5ecX0NHMbN3X4AIOgYE2WCRq7WzZCA+Ww6McoLUDQzSf72jlaWTRs4gTeQNeXMcqDQm9Oo/boFRxvKDM2c0B6vPnde/Qmz/eStl5B4pdE0F/BrtucCv0Btg2UFhO9/rJzSuIKDNRWXIaNWpU4nVAVLTyrxHrQKwKOmgtXbqUevToQR9++KHp9oNux131oVKIXo9Mo4N/z6dl331u+JpqNe+lQ/v1u3906dKFFarAib16eX3aGWxN5zY4fhFHYuFP7almvY1EzSLvq/Yzo/l8I376vj21P2st6zmdnuahRb+fST0tTolbsbIZZZWtQOkZAQqyAc5DnjQPFeSXou3+GlS7hZzviVYWemzdVpP2H6pMpcsWFu2jx8OKAOzZXTUqmclk7dpGdIgqUKkyPvoF8hpGtjLx9TW0ctFaGrzMuDfaOee3p98W/3vsv5J56E3P7kwbfl8UVmZQmlxZAlxraIjBEWWL1w4fPpxeeumluORuJ/gN11xzDf3444+spi0K4qRyDr9Sng5lvy+Pqne4kLxffWj4mvvf+ZK+W76J/plwT4mTnOddgY8XX0B9Tq9c4iION2PcmlWFvpx7GQ3r6qNSpcKfJuJngmg+34gf1rdjtyIrj6hhtaL9tpIsXzma9Ek/3eemDJE3WEQrCz3yAxn0ykz9HN//602WkukrQy990Y/JrEEN6+WlZQPVojIde9Ndtw2nCYP6GK4ZG7kab3/9c/pt486oZCYqS1isp59+Oi1btowVUNDKlivaeORuJ6+88grNmjWL3a9RowZrCKIH1j/xfLKjlKdDgQsskJ4WNqjAk5ZBaceCdETw/wMPPFDsMTFfUpwtG5EON2+aJ+q1NfEzo/l8Q/iAdmwTEOqmWhpYYjCweiQvNpo9VoWobeuQdSZWQRH74ikeeWsbHg95MtIpLcL1Y4TX72dt/SLJTFSW+B4oQqz/YQvlbGSVai1Wt4CoWs6sY0pUD1QvSwXlqdY8HQpURiBC8W9fQH/wxEWNXC4xJSj9WLQtv4gjzXgLjw2C0egK8TOj/fxoiSXqVxZhC0SEDSaKjXiOVdBBNX+LpRMlWFyodZybX6C7Tnl8bdNPAaSBBIJhX1fg1U+Z8wWiP9e5sgSwZFE5CFutbMVrUvY1YhVQipgURLo1cuHEwAxKeTqUNHgHS4e3uoLpCGooeaVrL2oMboHSPkPFqv/9PpYXF01RAPEzI31+vydeoI07dxsOaE2rVqSA10uFubnkz8ujzs1PoqysLFYzmd/y8/P1A6Mk4Un3s9+u90fp8lJnopWFHkHDfbTB8ksPhL49o0xiPQU9prxEjS4vqpdtdFs16T7aPmsqTRrSP+zrGl1+ie53+DNQp9cfUWaisgQI8KtZs2Yo0E+UrXhNxiN3hXNQbluHcuIPh6hKxTJhS8tW/iOXTvzruCuFo72oq604TBUr5ukqViOq/5FHVQ8dogCm4RFKVWo/M9znZ886SP/310P02Zdvh/1M1MdEZN/DU4jC1a6Ce/rpp5+WGipffoOXquw8VOS29h/rUJZO5PEGqdQ+P5GkcrvRykJ3H3f5qcq2Q0SlPBT0HasFnE5U6pD1FmnFzYV0wvZDFCztoeqbEqu8PTMOUKsyHWin99uwrwu3pgmWLV1PDw3/QPe5akuyqNbO45WDjGTGlSUmdDzHmStERNKGs0rNyl3hHJTydChp+UEKpkeYmXoLKCOn5GClvajL7QpShs+rq1iNCOYVUvnNQRb4EAntZ4b7/DRvgPpfdg3N+HRqiecmPvwJzZ/7D3259PFis3KxhRoGRViiKG+G31m5cmVWT1Nc2+J5duHYv+MAVa1dRbfYQJrHT2VXFDCNhDQMnzeX/OlF333o0F7avbtyif3StnmL5jk9WezespcyD2ZRk3YNdfeb/7bK1cpS2TXH65UWbtlGwROrUVrZcnT06NGY9kPk8MFMurrVvTRz0yQqXUZ/vfCx/01mM4qHp93K/m9/dgMq95yXAoVe6j7yfDpw4EDY745mP4xIywpSuaNFdZrjoWxGKSplUCHUk1dApQ/pnz+izERlCSCXr7/+mi677DJDqxTXJKJto7kGFc5GKc8oyMvLY9YNEpu3bdvGBm6UpcKgnahi+IHV6ylYo0LY1/h37iP/6v9KPF7iol77H/nPP0lXsRp+//bdFFi3yTjnUUD8TBDu87G/6Tnn6D7nwaC7eguVL18+9Njav9ZT7/OvoLU5y0Mur/r167PPx+u0Jc6+mvYd3XPbSNrgj69LhBGX9n0t7s+44IIL6Pvvv2eDrfZY3dvtcfpjx8+0oXBl7B98rBtYlSoTo3r51VdfzfINxQnSvp376L/9i6lipfDnHnjqw5HF/sfnLLh1ElGRTo35eESjQAPr/qOghEbghTm5utcO+w52XW2OeK5jf7myxG+HPF988UVWQAATLSOrFNtorkEn8tdffzFZLV26lN1Qos95Fa+sQa15RgDra926dWOKEpU1kCCMwfutt96i0047LdTHTjYICIkUuGgUM4KLGHlkIesrECTPseAifhHzixaWjHbdcfXva6lSjXLkKyyg/Pw8dpEvX7KKcnJydNcaxc/Ufr7+b9P/YUF/yZn45lXbyV9w/IeKn1/id6Lx9+7D1NDfknWzF2/ZWdls//mtC/Wlh/uPY2XScFu/4j/a8t+2Yq/BLTMzk3bs2MHKkG3cuJE6dOjAJlC4obPQ7t272e3884ssLv55eB//DEy+xH3hikLvWBXmeqlxsOT+89+AFAfxs/mtM/WhO7o9EPp+7X7AGkXuL2SJz8J27969JSz0NI+HmlBrOrD3oO4+4HZx6QF0Uan+JfYBRc/FG5oiYx9wXJAXiH0IdzyiIVgYMFPLPaaBz+839vhozz8oS7EQAnKreXk+UbbiuRrNNeJUMA4++OCDLNqWK85URSnPCDz55JP022+/sYFy/fr1rH8peplOmDCBDRA333xzwoQTKaISSfF6aC9q9lnHLEjxIsYNHRG0gRSnnNOKnp7zKP1ZYT5Vr16NKlSoQO3Pb0MVK1YMvUZsPaT9TK1C0+LDAKi333rBTxkZ1NRzSmhw1X6X9nf6vIGQS43fdm3aQ+0qnc1+B78toi/p/T+nUpUqVdjt5LbN6dL2fZg1y2/oe7hw4UKqU6cONWjQgJo0acLOBUyecFuyZAnVrl2b3X755ReqXr0662NbqVIl9j68HzdRWWKLFk5GxyqAGbxm//ltcKu7adk3K4vt43fTF9KcKd9R1epV6LxLzqQR54xm+6DdD7i3cb9cuXJFrvxy5ViyOwb6bet20D+LVrABPaN0elHgT6niblVxP9IojTLSMortx+JZS+nqS66nqlWrsjQFeGcWL17M9gHH5aeffmL7EO54wHrJzc4NGyHrKYVjFAj7mmgCyfxhrq20gLFDTpSZqCzBfRc9Rpecc1nItS7KVjxXo7lGnArGwUceeYRmz57NJo2p0rtTD6U8w4BZMRKDweTJk5ny4KCLQLt27WjRokXMlZEIMEjoMWPcZ7R3+346qUXt0ECybd12yjySzZ7XXtSAL69oL2JYH9wa4bdu1I9mTv2adu/ZHbIqutLlNO7GCez5z16ZTT9++nNogNJ+plahaTFa6gnq5Aj4C4u7ZcXP1/udejV5c7PzqDG1Cv0+WD7oALFy5cpi1lQjamn4XeDowUyWYoDfjRu/f/RIFvW7+MqojkekYxX0H29iruXQniNUv6BpMSvt7TEf06MPPUpfHnyXnntnHP209gfd/Z/3/gJqX+us0D5uXL6FRo68t6jE3Fn/R/0vuJpNipq0bEzL6CeqUq1KaKJ0yy23FFfwiOnV7OMb//c+bfhzi+53Zx/NpnvvLfqucMdj7MDxdHrN88JGyH7v/Yx2NFgd9jW4jR49ulhUNm4Tbp1Cjw8sKmDuDxgr10CYEozi/uK6aFGxXcgd+/cPK2nTsm265454rkZzjTgVBOiNHTuWevfuzSaNqYxSnmHAzBmupqZNmzIXrZYBAwawrcxSWxuXb6a3H/2IKlQrRye1rE2vjnyLMg9nFXvNW498TP26XEnDJw2lwk772WDRsGUDuqhNUei9OLBrFZZ4EeMG64NbIyHLwpNGFcuVY5MFbllkeDIog4qen/PKPNq1dm/os7WfqVVoJUjXP+183pIDmnZ9S/x87e+cev97VLdRTSpVLp0Wz/6dvn33x6LfnlYU6MF/37UNbqO/560s9rvTPOmsHKDRd2Gta0CtwaGZ9rWNb6PFn//J7n/67Cz6Z/6qqI5HpGPFVJKBUYTfECjRATtIzcq0YROAiWNeYi5Xvf344YOfKWv/8WbJt7YfRVv+KRroC71wFRdNLtatXkenU+dik6lp06aVCBzzaHYyUBigpnTcQyB+900thtOiD38t8bj2/52b9lI9b7Ni3/3E9RNKTGrWb1sbum9UHu6ZZ55h8hUV6qipw+iDL949tv9hgnXCrPOL+5t5NIsKc3yUnZ0Tkk8jT0t2DLS/87e5f9GIu0awczWqa0TheJTyDMO//xbVvkQVET3448uXL5cmkBdue53GPjGWvjz4Hq0utZTueOFmGnZTUXHXB3s+SXd3Hk3turWih8aOpr7Vb6D58+ezQebC9P50Wq1z2eumP/QBffnSPN3kflHhYGbe5ZQLiylZZh0EA1SqTJFy0nOrBn0eapLWKjRQip85otPD1KlVt9B7sZ0y6i16/MrnmIXbvENj6nj52fThc7Po7i7H83CeGDiBGp3agEqXS6evp31P37234Nh+Fx+k7+r4IPXt1q+oBOEdU2m28Ds/HT+b3p35DuWcuZs69j2HRgy5u+iJY0XxOVmHcqgptWb7v/HfLTTxttfppGa16KTWJ9FPs36lg3sPlfhdrHl7kNh6D953ZG8mNShszu77g4FiruVb2t1NV/e5lr3vj+//pl6d+4aOx+XVbqBht99ZwnrNOpJNCz75hZqd0ZhqNqxOv361lLmbwZrf19PbYz6kExvXoFbnNKfxQ16lwweKUikC/iClBYrcqmkZGcUiOMXPR8ENcR/xukvP7nPsf09ocpGensEmT6FJRVoa/d///R/7jC0rt9FzN71C9U6uTXVb1KZFny+mfbsOHpNT8dOt2G87mkuNjx3vnRt3Udd2Fxc7P/jrMFHSutzbnNuS2lY5jT59eTbNmTaPnesLPv+ZKVSs5+7bt49++GQh3XzjzaH1XWynP/YufTFtbrE11t5VrqdmpVrr6sdpD35Av371B7Mim5/euJhr+KdZS3TPibRgOjumPq/gHTlWjEQ7sRt92dO0fMEadv/Xr/+knh37JCRHWWEdauoTBgSFgHr16uk+zx9HMIksRkweSqd+2oZufPwq5r57fdQ7NGjs1ey5S27uRm+8/zp98OW7tLSgE1VqWjU0877l6evo9G7t2P1et3an0mVKH6+p2bYBXfvQ8VqtWPMDGBhPqHpCse/HWuaPNJP8kw9S11VdWVUR0O+ey+jyu4os23vfvJ3W/bGh2Pv4Z178vy6Uu/BAsc97fMLjVL9efXqsQlHJwNWDlzJ3d/+Lrgq9rnrdarQuZzlln7mbeg3pToOvHULdb7iAOl1xLq1ZsjH0ug49TyfP9qKc1QH39KYadaqHfif28ZoHL6fylcvT718vo8xDmezxJm0aUO/bu4c+Y/BT11LbjkXWTPnKZemX9T/QrFWfUufOnalLv/F0/73307Pjny32u2DF9Bx6EduCIU9fRw1aFcn/yrv7ksd/XEGf2/ssWpPzN7tfqUpFtv7IueDqTnSg+vYSxw2lnF6aMom+WPgZ24/zenege+4cSRNfnkDlKpalb//4ij5eP4O61OlCiz5eRIdr7KRxT4+ju18bGhq8z774VLp4UFddudw56Rb6dvr80OM9Bl9A/e7uxe7fM/V22rOpyJPQoHF9uvjGzrqfUbZiWVq8cQHNXjmT7WPXAS/TfffcR89NfI5GvXknrf/9P9333TbhRqrbpMjFV7ZCGaparYru60a9MYyWzS8+Ef1n31I62m4nXXlXHxp87VDqNbg7nX3x6XTf3fez9VRwZHcWVapQmXlIcC7gnH388cdZkNLlt/SkMWPGsMfuf/MOyjpctLTRvnNr6ti/Q+h7qtWuQu9/8S6d1/ts9n+rJqcUs2rvH/UAPfv8M8X2t/qJVemsS9pTtRpV2f8X39iFWnZoVlK2RNR7WHfqf08vtn8nVK9EVTTXncJ9eIKpGGMcJUOHDmXJzA8//DALHNKyYcMGat68ObshmCgS6B6vB6I44RpetSpyegVfN4LYeIkwmcj+fP55cHviM6GwcYOFoc3v49aY3nOJRPzNVn93tPvhhn1M1PfFek6Y3UcxP1hbZMGu4x2JL7/8ki6//HKqWzudqlQ23r99B/x04JCfBb0haEtLNGOPHmXLlmVemVRUI8rydABwT0F5RkMiFGYiP59/XjRh+Yn+bU773lj2ww376JTvM7uPTjnGsQDru3Xr4+vcRtSqTZSVs1EVZpCIUp5h4NG1PPlfC9ZTAHcfRcLs7E6hUCj0QA66GlfsQQUMhQG5fQBJ8nrwxxs21C+lplAoFIrkRCnPMLRv355t0a9PD/448j0VCoVCkToo5RkGlFxDpCQCev75558Sz3/22Wdsi4RhhUKhUKQOSnmGAaHqd955J7t/xx13hNY4wcSJE1l+J+qFnnHGGYmXlEKhUCgcg0pViQAKCXTt2pXVs0WNU+SOIa8T/6MzAmqdIvxboVAokh10kRHrWi9dupSlqaBhAge1b9FpJtlR0bZR5DEtWLCAtSSbMWMGffHFF6zo9aBBg9hJZFRAQaFQKJINNMOA4aBFfAyvSQWU5alQKBQKRYyoNU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKGJEKU+FQqFQKCg2/h8widaeckuq1wAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c_size = PLSCAN().fit(data)\n", "c_size.leaf_tree_.plot(leaf_separation=0.1)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ea0dce62", "metadata": {}, "source": [ "The persistence trace sums the size-persistence contributions of all leaf\n", "clusters alive at each minimum cluster size value. Higher total persistence\n", "indicates a more robust clustering at that threshold." ] }, { "cell_type": "code", "execution_count": 4, "id": "75ae181d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c_size.persistence_trace_.plot()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "100ff76c", "metadata": {}, "source": [ "## Distance persistence\n", "\n", "The ``\"distance\"`` persistence measure is similar, but it quantifies the\n", "distance range over which leaf clusters exist. These ranges are not directly\n", "read from the leaf or condensed tree. A leaf cluster is born at the distance\n", "where its descendants first form a connected component with the cluster's\n", "birth-size points." ] }, { "cell_type": "code", "execution_count": 5, "id": "9e82b9b5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c_dist = PLSCAN(min_samples=10, persistence_measure=\"distance\").fit(data)\n", "c_dist.leaf_tree_.plot(leaf_separation=0.1)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "id": "9f5de6be", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c_dist.persistence_trace_.plot()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f33e19cc", "metadata": {}, "source": [ "## Density persistence\n", "\n", "The same distance ranges can also be expressed in density terms via\n", "``exp(-distance)``." ] }, { "cell_type": "code", "execution_count": 7, "id": "fb0cc52e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c_dens = PLSCAN(min_samples=10, persistence_measure=\"density\").fit(data)\n", "c_dens.leaf_tree_.plot(leaf_separation=0.1, width=\"density\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "id": "52df4375", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c_dens.persistence_trace_.plot()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b13c0bb1", "metadata": {}, "source": [ "## Size--distance bi-persistence\n", "\n", "The ``\"size-distance\"`` bi-persistence measure combines size persistence and\n", "distance persistence. Leaf clusters with low distance persistence receive lower\n", "bi-persistence scores. In this example, clusters below size 100 therefore have\n", "lower relative total persistence and lower cut ranks in the plots below:" ] }, { "cell_type": "code", "execution_count": 9, "id": "9758d9cd", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c_sdist = PLSCAN(persistence_measure=\"size-distance\").fit(data)\n", "c_sdist.leaf_tree_.plot(leaf_separation=0.1, width=\"distance\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "id": "d7269050", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c_sdist.persistence_trace_.plot()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "18574e7c", "metadata": {}, "source": [ "The bi-persistence value can be interpreted as an area in\n", "``(min_cluster_size, distance)`` space where a leaf cluster exists. For\n", "example, leaf cluster 18 occupies the highlighted area:" ] }, { "cell_type": "code", "execution_count": 35, "id": "63787d3c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "leaf_idx = 18\n", "max_dist = c_sdist._leaf_tree.max_distance[leaf_idx]\n", "size_trace, pers_trace = compute_distance_icicles(\n", " c_sdist._leaf_tree, c_sdist._condensed_tree, data.shape[0]\n", ")\n", "for size, pers in zip(size_trace[leaf_idx], pers_trace[leaf_idx]):\n", " plt.plot([size, size], [max_dist - pers, max_dist], \"k-\")\n", "plt.xlim(0, data.shape[0])\n", "plt.ylim(0, c_sdist._leaf_tree.max_distance[0])\n", "plt.xlabel(\"Min cluster size\")\n", "plt.ylabel(\"Distance\")\n", "plt.title(\"Bi-persistence area\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3c3f9ca5", "metadata": {}, "source": [ "## Size--density bi-persistence\n", "\n", "The same bi-persistence idea can be expressed in density coordinates.\n", "``hdbscan`` uses ``1 / distance`` as a density transform, while\n", "``fast-plscan`` uses ``exp(-distance)`` to avoid division by zero. Both\n", "transforms map large distances to near-zero density values, so large-distance\n", "segments contribute less to total persistence. (For this dataset, the\n", "difference between ``\"size-distance\"`` and ``\"size-density\"`` is small.)" ] }, { "cell_type": "code", "execution_count": 37, "id": "1dd15f26", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c_sdens = PLSCAN(persistence_measure=\"size-density\").fit(data)\n", "c_sdens.leaf_tree_.plot(leaf_separation=0.1, width=\"density\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 38, "id": "aebe272f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c_sdens.persistence_trace_.plot()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 39, "id": "5b6311b8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "max_dist = np.exp(-c_sdens._leaf_tree.max_distance[leaf_idx])\n", "size_trace, pers_trace = compute_density_icicles(\n", " c_sdens._leaf_tree, c_sdens._condensed_tree, data.shape[0]\n", ")\n", "for size, pers in zip(size_trace[leaf_idx], pers_trace[leaf_idx]):\n", " plt.plot([size, size], [max_dist + pers, max_dist], \"k-\")\n", "plt.xlim(0, data.shape[0])\n", "plt.ylim(1, np.exp(-c_sdens._leaf_tree.max_distance[0]))\n", "plt.xlabel(\"Min cluster size\")\n", "plt.ylabel(\"Density\")\n", "plt.title(\"Bi-persistence area\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.3" } }, "nbformat": 4, "nbformat_minor": 5 }