{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using TensorFlow backend.\n" ] } ], "source": [ "from __future__ import print_function\n", "import keras\n", "from keras.models import Sequential, Model, load_model\n", "from keras import backend as K\n", "\n", "import tensorflow as tf\n", "\n", "import os\n", "import pandas as pd\n", "\n", "import numpy as np\n", "\n", "import matplotlib.pyplot as plt\n", "import matplotlib.cm as cm\n", "import seaborn as sns\n", "\n", "import aparent.visualization as vis\n", "\n", "from aparent.predictor import *\n", "\n", "import urllib\n", "import urllib.request\n", "import pickle\n", "from time import sleep\n", "\n", "from scipy.stats import ttest_ind\n", "from scipy.stats import pearsonr, spearmanr\n", "\n", "from sklearn.linear_model import LinearRegression\n", "\n", "from scipy.optimize import minimize\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "s.shape = (5022, 10)\n", "m.shape = (5022, 10)\n", "l.shape = (5022, 10)\n", "c.shape = (5022, 10, 28)\n", "y.shape = (5022, 10, 28)\n" ] } ], "source": [ "\n", "df = pd.read_csv('../../../aparent/data/polyadb_features_pas_3_utr3_perturb.csv', sep='\\t')\n", "\n", "save_dict = np.load(\"../../../aparent/data/polyadb_features_pas_3_utr3_perturb_no_x.npz\")\n", "m, l, c, y = save_dict['m'], save_dict['l'], save_dict['c'], save_dict['y']\n", "\n", "s = np.load('../predictions/apa_perturb_data/aparent_all_libs_resnet_no_clinvar_wt_ep_5_utr3_native_scores.npy')\n", "\n", "'''\n", "min_total_c = 10.\n", "total_c = np.sum(c, axis=(1, 2))\n", "\n", "s = s[total_c >= min_total_c, :]\n", "m = m[total_c >= min_total_c, :]\n", "l = l[total_c >= min_total_c, :]\n", "c = c[total_c >= min_total_c, :]\n", "y = y[total_c >= min_total_c, :]\n", "'''\n", "\n", "min_total_c = 100.\n", "total_c = np.sum(c[..., 1], axis=-1)\n", "\n", "min_total_l = 100\n", "min_l = np.min(l + (l == 0.) * 1e6, axis=-1)\n", "\n", "max_total_l = 10000\n", "max_l = np.max(l, axis=-1)\n", "\n", "s = s[(total_c >= min_total_c) & ((min_l >= min_total_l) & (max_l <= max_total_l)), :]\n", "m = m[(total_c >= min_total_c) & ((min_l >= min_total_l) & (max_l <= max_total_l)), :]\n", "l = l[(total_c >= min_total_c) & ((min_l >= min_total_l) & (max_l <= max_total_l)), :]\n", "c = c[(total_c >= min_total_c) & ((min_l >= min_total_l) & (max_l <= max_total_l)), :]\n", "y = y[(total_c >= min_total_c) & ((min_l >= min_total_l) & (max_l <= max_total_l)), :]\n", "\n", "print(\"s.shape = \" + str(s.shape))\n", "print(\"m.shape = \" + str(m.shape))\n", "print(\"l.shape = \" + str(l.shape))\n", "print(\"c.shape = \" + str(c.shape))\n", "print(\"y.shape = \" + str(y.shape))\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "#Define tissue-/cell- types\n", "\n", "cell_types = np.array([\n", " 'rpm',\n", " 'NT',\n", " 'CDC73',\n", " 'CPSF1',\n", " 'CPSF2',\n", " 'CPSF3',\n", " 'CPSF3L',\n", " 'CPSF4',\n", " 'CPSF6',\n", " 'CSTF1',\n", " 'CSTF3',\n", " 'CTR9',\n", " 'FIP1L1',\n", " 'LEO1',\n", " 'NUDT21',\n", " 'PABPC1',\n", " 'PABPN1',\n", " 'PAF1',\n", " 'PAPOLA',\n", " 'PCF11',\n", " 'RBBP6',\n", " 'RPRD1A',\n", " 'RPRD1B',\n", " 'SCAF8',\n", " 'SF3A1',\n", " 'SRSF3',\n", " 'SYMPK',\n", " 'THOC5'\n", "], dtype=np.object)\n", "\n", "cell_type_dict = {\n", " cell_type : cell_type_i for cell_type_i, cell_type in enumerate(cell_types)\n", "}\n", "\n", "#Slice celltypes\n", "\n", "cell_type_1 = 'NT'\n", "cell_type_2 = 'CPSF6'\n", "\n", "c_1 = c[:, :, cell_type_dict[cell_type_1]]\n", "y_1 = y[:, :, cell_type_dict[cell_type_1]]\n", "\n", "c_2 = c[:, :, cell_type_dict[cell_type_2]]\n", "y_2 = y[:, :, cell_type_dict[cell_type_2]]\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "\n", "l_prox_cumulative = np.log(np.cumsum(l[:, ::-1], axis=1) * m[:, ::-1] + 1.)[:, ::-1]\n", "l_cumulative = np.log(np.cumsum(l, axis=1) * m + 1.)\n", "l = np.log(l * m + 1.)\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "\n", "prox_index = np.array([np.nonzero(m[i, :])[0][0] for i in range(m.shape[0])])\n", "dist_index = np.array([np.nonzero(m[i, :])[0][-1] for i in range(m.shape[0])])\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Proximal-most vs Distal-most PAS scores\n", "\n", "s_prox = []\n", "s_dist = []\n", "for i in range(s.shape[0]) :\n", " s_prox.append(s[i, prox_index[i]])\n", " s_dist.append(s[i, dist_index[i]])\n", "\n", "s_prox = np.array(s_prox)\n", "s_dist = np.array(s_dist)\n", "\n", "s_min = -8.\n", "s_max = 4.\n", "\n", "prox_hist, bin_edges = np.histogram(s_prox, bins=50, range=(s_min, s_max), density=True)\n", "dist_hist, _ = np.histogram(s_dist, bins=50, range=(s_min, s_max), density=True)\n", "\n", "median_prox = np.median(s_prox)\n", "median_dist = np.median(s_dist)\n", "\n", "bin_width = bin_edges[1] - bin_edges[0]\n", "bin_centers = bin_edges[:-1] + bin_width / 2.\n", "\n", "f = plt.figure(figsize=(6, 4))\n", "\n", "plt.bar(bin_centers, prox_hist, width=bin_width, color='green', alpha=0.5, label='Proximal')\n", "plt.bar(bin_centers, dist_hist, width=bin_width, color='red', alpha=0.5, label='Distal')\n", "\n", "plt.axvline(x=median_prox, linestyle='--', linewidth=2, color='darkgreen')\n", "plt.axvline(x=median_dist, linestyle='--', linewidth=2, color='darkred')\n", "\n", "plt.xlim(s_min, s_max)\n", "plt.ylim(0, 0.35)\n", "\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "\n", "plt.xlabel(\"APARENT-ResNet Score\", fontsize=12)\n", "plt.ylabel(\"% Sequences\", fontsize=12)\n", "\n", "plt.legend(fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "\n", "l_dist = []\n", "l_cumulative_dist = []\n", "for i in range(s.shape[0]) :\n", " l_dist.append(l[i, dist_index[i]])\n", " l_cumulative_dist.append(l_cumulative[i, dist_index[i]])\n", "\n", "l_dist = np.array(l_dist)\n", "l_cumulative_dist = np.array(l_cumulative_dist)\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "#Proximal-most vs Distal-most PAS scores\n", "\n", "s_dists = []\n", "s_dist_means = []\n", "s_dist_medians = []\n", "s_dist_stds = []\n", "for k in range(0, 10) :\n", " \n", " s_d = []\n", " for i in range(s.shape[0]) :\n", " if dist_index[i] - k >= 0 :\n", " s_d.append(s[i, dist_index[i] - k])\n", " \n", " s_dists.append(np.array(s_d))\n", " \n", " s_dist_means.append(np.mean(s_dists[-1]))\n", " s_dist_medians.append(np.median(s_dists[-1]))\n", " s_dist_stds.append(np.std(s_dists[-1]))\n", "\n", "s_dist_means = np.array(s_dist_means)\n", "s_dist_medians = np.array(s_dist_medians)\n", "s_dist_stds = np.array(s_dist_stds)\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "f = plt.figure(figsize=(8, 4))\n", "\n", "sns.stripplot(data=s_dists[::-1], alpha=0.1, jitter=0.25)\n", "\n", "plt.errorbar(np.arange(10), s_dist_medians[::-1], yerr=s_dist_stds[::-1], linewidth=3, color='red', linestyle='-')\n", "\n", "plt.xlim(-0.5, 9.5)\n", "plt.ylim(-8., 4.)\n", "\n", "plt.xticks(\n", " np.arange(10),\n", " [\"-\" + str(9-j) if j != 29 else \"Distal\\nPAS\" for j in range(10)], fontsize=12, rotation=45\n", ")\n", "\n", "plt.yticks(fontsize=12)\n", "\n", "plt.ylabel(\"APARENT-ResNet Score\", fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "f = plt.figure(figsize=(8, 4))\n", "\n", "sns.stripplot(data=s_dists[::-1], alpha=0.1, jitter=0.25)\n", "sns.boxplot(data=s_dists[::-1], linewidth=2, fliersize=0.)\n", "\n", "plt.xlim(-0.5, 9.5)\n", "plt.ylim(-8., 4.)\n", "\n", "plt.xticks(\n", " np.arange(10),\n", " [\"-\" + str(9-j) if j != 9 else \"Distal\\nPAS\" for j in range(10)], fontsize=12, rotation=45\n", ")\n", "\n", "plt.yticks(fontsize=12)\n", "\n", "plt.ylabel(\"APARENT-ResNet Score\", fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n", "\n", "f = plt.figure(figsize=(8, 4))\n", "\n", "plt.errorbar(np.arange(10), s_dist_medians[::-1], yerr=s_dist_stds[::-1], linewidth=3, color='red', linestyle='-')\n", "\n", "plt.xlim(-0.5, 9.5)\n", "plt.ylim(-3.5, 1.)\n", "\n", "plt.xticks(\n", " np.arange(10),\n", " [\"-\" + str(9-j) if j != 29 else \"Distal\\nPAS\" for j in range(10)], fontsize=12, rotation=45\n", ")\n", "\n", "plt.yticks(fontsize=12)\n", "\n", "plt.ylabel(\"APARENT-ResNet Score\", fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training on tissue = 'NT'\n", "Optimization terminated successfully.\n", " Current function value: 0.297444\n", " Iterations: 105\n", " Function evaluations: 1498\n", " Gradient evaluations: 107\n", "[ 0.46941184 -0.35526653 -1.30689904 0.52319977 0.4682442 0.2754141\n", " 0.1836425 0.23573602 -0.11909025 0.01295298 0.67265352 -0.94624276]\n", "- Spearman r = 0.625\n", "- n = 5022\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Fit regression / classification models on native measures\n", "\n", "def logistic_model_predict(s, m, l, w_pas, w_len, w_bias) :\n", " \n", " score_exp = np.exp(w_pas * s + w_len * l + w_bias) * m\n", " \n", " return score_exp / np.sum(score_exp, axis=-1)[:, None]\n", "\n", "def logistic_model_mse(w_bundle, s, m, l, y_true) :\n", " \n", " w_pas = w_bundle[0]\n", " w_len = w_bundle[1]\n", " w_bias = w_bundle[2:2+10]\n", " \n", " y_pred = logistic_model_predict(s, m, l, w_pas, w_len, w_bias)\n", " \n", " y_pred_clip = np.clip(y_pred, 1e-7, 1. - 1e-7)\n", " y_true_clip = np.clip(y_true, 1e-7, 1. - 1e-7)\n", " \n", " kl = np.sum(y_true_clip * np.log(y_true_clip / y_pred_clip), axis=-1)\n", " \n", " return np.mean(kl)\n", "\n", "chosen_tissue_types = ['NT']\n", "\n", "model_spearman_rs = np.zeros(len(chosen_tissue_types))\n", "\n", "y_preds = []\n", "\n", "for tissue_ix in range(len(chosen_tissue_types)) :\n", " \n", " print(\"Training on tissue = '\" + chosen_tissue_types[tissue_ix] + \"'\")\n", " \n", " y_tissue = y[..., cell_type_dict[chosen_tissue_types[tissue_ix]]]\n", " \n", " w0 = np.zeros(2+10)\n", "\n", " res = minimize(logistic_model_mse, w0, args=(s, m, l_cumulative, y_tissue), method='BFGS', options={'disp': True})\n", "\n", " w_pas = res.x[0]\n", " w_len = res.x[1]\n", " w_bias = res.x[2:2+10]\n", " \n", " print(res.x)\n", " \n", " y_pred_tissue = logistic_model_predict(s, m, l_cumulative, w_pas, w_len, w_bias)\n", " \n", " y_preds.append(y_pred_tissue)\n", " \n", " spearman_r_val, _ = spearmanr(y_pred_tissue[np.arange(y_tissue.shape[0]), dist_index], y_tissue[np.arange(y_tissue.shape[0]), dist_index])\n", " model_spearman_rs[tissue_ix] = spearman_r_val\n", " \n", " print(\"- Spearman r = \" + str(round(spearman_r_val, 3)))\n", " print(\"- n = \" + str(y_tissue.shape[0]))\n", "\n", " f = plt.figure(figsize=(3, 3))\n", "\n", " plt.scatter(y_pred_tissue[np.arange(y_tissue.shape[0]), dist_index], y_tissue[np.arange(y_tissue.shape[0]), dist_index], color='black', s=8, alpha=0.2)\n", "\n", " plt.xlim(0., 1.)\n", " plt.ylim(0., 1.)\n", "\n", " plt.tight_layout()\n", " plt.show()\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training on tissue = 'NT'\n", "Optimization terminated successfully.\n", " Current function value: 0.292747\n", " Iterations: 143\n", " Function evaluations: 4640\n", " Gradient evaluations: 145\n", "[ 0.38278536 0.56378862 0.55127036 0.50562707 0.48221289 0.6771202\n", " 0.10395366 0.6936327 0.66904288 0.12772881 0. -0.3646651\n", " -0.41507464 -0.52916818 -0.3768265 -0.38065306 -0.41928044 -0.40489881\n", " -0.34176212 -0.50646243 -1.8648517 0.23405808 0.53503883 1.25696534\n", " -0.06523703 0.04892737 -0.12228334 -0.04533058 0.08163913 -0.05900107]\n", "- Spearman r = 0.632\n", "- n = 5022\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Fit regression / classification models on native measures (Independent regression weights per PAS)\n", "\n", "def logistic_model_predict(s, m, l, w_pas, w_len, w_bias) :\n", " \n", " score_exp = np.exp(w_pas * s + w_len * l + w_bias) * m\n", " \n", " return score_exp / np.sum(score_exp, axis=-1)[:, None]\n", "\n", "def logistic_model_mse(w_bundle, s, m, l, y_true) :\n", " \n", " w_pas = w_bundle[0:10]\n", " w_len = w_bundle[10:20]\n", " w_bias = w_bundle[20:30]\n", " \n", " y_pred = logistic_model_predict(s, m, l, w_pas, w_len, w_bias)\n", " \n", " y_pred_clip = np.clip(y_pred, 1e-7, 1. - 1e-7)\n", " y_true_clip = np.clip(y_true, 1e-7, 1. - 1e-7)\n", " \n", " kl = np.sum(y_true_clip * np.log(y_true_clip / y_pred_clip), axis=-1)\n", " \n", " return np.mean(kl)\n", "\n", "chosen_tissue_types = ['NT']\n", "\n", "model_spearman_rs = np.zeros(len(chosen_tissue_types))\n", "\n", "y_preds = []\n", "\n", "for tissue_ix in range(len(chosen_tissue_types)) :\n", " \n", " print(\"Training on tissue = '\" + chosen_tissue_types[tissue_ix] + \"'\")\n", " \n", " y_tissue = y[..., cell_type_dict[chosen_tissue_types[tissue_ix]]]\n", " \n", " w0 = np.zeros(30)\n", "\n", " res = minimize(logistic_model_mse, w0, args=(s, m, l_cumulative, y_tissue), method='BFGS', options={'disp': True})\n", "\n", " w_pas = res.x[0:10]\n", " w_len = res.x[10:20]\n", " w_bias = res.x[20:30]\n", " \n", " print(res.x)\n", " \n", " y_pred_tissue = logistic_model_predict(s, m, l_cumulative, w_pas, w_len, w_bias)\n", " \n", " y_preds.append(y_pred_tissue)\n", " \n", " spearman_r_val, _ = spearmanr(y_pred_tissue[np.arange(y_tissue.shape[0]), dist_index], y_tissue[np.arange(y_tissue.shape[0]), dist_index])\n", " model_spearman_rs[tissue_ix] = spearman_r_val\n", " \n", " print(\"- Spearman r = \" + str(round(spearman_r_val, 3)))\n", " print(\"- n = \" + str(y_tissue.shape[0]))\n", "\n", " f = plt.figure(figsize=(3, 3))\n", "\n", " plt.scatter(y_pred_tissue[np.arange(y_tissue.shape[0]), dist_index], y_tissue[np.arange(y_tissue.shape[0]), dist_index], color='black', s=8, alpha=0.2)\n", "\n", " plt.xlim(0., 1.)\n", " plt.ylim(0., 1.)\n", "\n", " plt.tight_layout()\n", " plt.show()\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "#Right-justify feature matrices\n", "\n", "s_r = np.zeros(s.shape)\n", "m_r = np.zeros(m.shape)\n", "l_r = np.zeros(l.shape)\n", "l_r = np.zeros(l.shape)\n", "l_cumulative_r = np.zeros(l_cumulative.shape)\n", "l_prox_cumulative_r = np.zeros(l_prox_cumulative.shape)\n", "y_r = np.zeros(y.shape)\n", "\n", "dist_index_r = np.copy(dist_index)\n", "dist_index_r[:] = m.shape[1]-1\n", "\n", "for i in range(m.shape[0]) :\n", " \n", " n_pas = int(np.sum(m[i, :]))\n", " for j in range(0, m.shape[1]) :\n", " \n", " if n_pas-1-j >= 0 and m[i, n_pas-1-j] == 1. :\n", " s_r[i, m.shape[1]-1-j] = s[i, n_pas-1-j]\n", " m_r[i, m.shape[1]-1-j] = m[i, n_pas-1-j]\n", " l_r[i, m.shape[1]-1-j] = l[i, n_pas-1-j]\n", " l_cumulative_r[i, m.shape[1]-1-j] = l_cumulative[i, n_pas-1-j]\n", " l_prox_cumulative_r[i, m.shape[1]-1-j] = l_prox_cumulative[i, n_pas-1-j]\n", " y_r[i, m.shape[1]-1-j] = y[i, n_pas-1-j]\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training on tissue = 'NT'\n", "Optimization terminated successfully.\n", " Current function value: 0.302773\n", " Iterations: 89\n", " Function evaluations: 1274\n", " Gradient evaluations: 91\n", "[ 0.45093615 -0.0673798 2.03546178 0.91747305 0.70005375 0.33132832\n", " -0.15047316 -0.27811664 -0.52313202 -0.81023784 -1.01919246 -1.20324994]\n", "- Spearman r = 0.622\n", "- n = 5022\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Fit regression / classification models on native measures (right-justified)\n", "\n", "def logistic_model_predict(s, m, l, w_pas, w_len, w_bias) :\n", " \n", " score_exp = np.exp(w_pas * s + w_len * l + w_bias) * m\n", " \n", " return score_exp / np.sum(score_exp, axis=-1)[:, None]\n", "\n", "def logistic_model_mse(w_bundle, s, m, l, y_true) :\n", " \n", " w_pas = w_bundle[0]\n", " w_len = w_bundle[1]\n", " w_bias = w_bundle[2:2+10]\n", " \n", " y_pred = logistic_model_predict(s, m, l, w_pas, w_len, w_bias)\n", " \n", " y_pred_clip = np.clip(y_pred, 1e-7, 1. - 1e-7)\n", " y_true_clip = np.clip(y_true, 1e-7, 1. - 1e-7)\n", " \n", " kl = np.sum(y_true_clip * np.log(y_true_clip / y_pred_clip), axis=-1)\n", " \n", " return np.mean(kl)\n", "\n", "chosen_tissue_types = ['NT']\n", "\n", "model_spearman_rs = np.zeros(len(chosen_tissue_types))\n", "\n", "y_preds = []\n", "\n", "for tissue_ix in range(len(chosen_tissue_types)) :\n", " \n", " print(\"Training on tissue = '\" + chosen_tissue_types[tissue_ix] + \"'\")\n", " \n", " y_tissue_r = y_r[..., cell_type_dict[chosen_tissue_types[tissue_ix]]]\n", " \n", " w0 = np.zeros(2+10)\n", "\n", " res = minimize(logistic_model_mse, w0, args=(s_r, m_r, l_cumulative_r, y_tissue_r), method='BFGS', options={'disp': True})\n", "\n", " w_pas = res.x[0]\n", " w_len = res.x[1]\n", " w_bias = res.x[2:2+10]\n", " \n", " print(res.x)\n", " \n", " y_pred_tissue_r = logistic_model_predict(s_r, m_r, l_cumulative_r, w_pas, w_len, w_bias)\n", " \n", " y_preds.append(y_pred_tissue_r)\n", " \n", " spearman_r_val, _ = spearmanr(y_pred_tissue_r[np.arange(y_tissue_r.shape[0]), dist_index_r], y_tissue_r[np.arange(y_tissue_r.shape[0]), dist_index_r])\n", " model_spearman_rs[tissue_ix] = spearman_r_val\n", " \n", " print(\"- Spearman r = \" + str(round(spearman_r_val, 3)))\n", " print(\"- n = \" + str(y_tissue_r.shape[0]))\n", "\n", " f = plt.figure(figsize=(3, 3))\n", "\n", " plt.scatter(y_pred_tissue_r[np.arange(y_tissue_r.shape[0]), dist_index_r], y_tissue_r[np.arange(y_tissue_r.shape[0]), dist_index_r], color='black', s=8, alpha=0.2)\n", "\n", " plt.xlim(0., 1.)\n", " plt.ylim(0., 1.)\n", "\n", " plt.tight_layout()\n", " plt.show()\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training on tissue = 'NT'\n", "Optimization terminated successfully.\n", " Current function value: 0.295065\n", " Iterations: 168\n", " Function evaluations: 5440\n", " Gradient evaluations: 170\n", "[-0.54813119 0.26427883 0.30412155 0.15813086 0.28523733 0.33724423\n", " 0.3261071 0.35811057 0.45170473 0.59936153 0. 0.09826074\n", " -0.01367696 -0.07057042 -0.06002848 -0.06163822 -0.0718277 -0.0539588\n", " -0.0877641 -0.34386414 0.26174613 0.47367662 0.4353824 -0.02046226\n", " -0.27616845 -0.28070102 -0.48793646 -0.72895501 -0.61745249 1.24071716]\n", "- Spearman r = 0.635\n", "- n = 5022\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Fit regression / classification models on native measures (right-justified)\n", "\n", "def logistic_model_predict(s, m, l, w_pas, w_len, w_bias) :\n", " \n", " score_exp = np.exp(w_pas * s + w_len * l + w_bias) * m\n", " \n", " return score_exp / np.sum(score_exp, axis=-1)[:, None]\n", "\n", "def logistic_model_mse(w_bundle, s, m, l, y_true) :\n", " \n", " w_pas = w_bundle[0:10]\n", " w_len = w_bundle[10:20]\n", " w_bias = w_bundle[20:30]\n", " \n", " y_pred = logistic_model_predict(s, m, l, w_pas, w_len, w_bias)\n", " \n", " y_pred_clip = np.clip(y_pred, 1e-7, 1. - 1e-7)\n", " y_true_clip = np.clip(y_true, 1e-7, 1. - 1e-7)\n", " \n", " kl = np.sum(y_true_clip * np.log(y_true_clip / y_pred_clip), axis=-1)\n", " \n", " return np.mean(kl)\n", "\n", "chosen_tissue_types = ['NT']\n", "\n", "model_spearman_rs = np.zeros(len(chosen_tissue_types))\n", "\n", "y_preds = []\n", "\n", "for tissue_ix in range(len(chosen_tissue_types)) :\n", " \n", " print(\"Training on tissue = '\" + chosen_tissue_types[tissue_ix] + \"'\")\n", " \n", " y_tissue_r = y_r[..., cell_type_dict[chosen_tissue_types[tissue_ix]]]\n", " \n", " w0 = np.zeros(30)\n", "\n", " res = minimize(logistic_model_mse, w0, args=(s_r, m_r, l_cumulative_r, y_tissue_r), method='BFGS', options={'disp': True})\n", "\n", " w_pas = res.x[0:10]\n", " w_len = res.x[10:20]\n", " w_bias = res.x[20:30]\n", " \n", " print(res.x)\n", " \n", " y_pred_tissue_r = logistic_model_predict(s_r, m_r, l_cumulative_r, w_pas, w_len, w_bias)\n", " \n", " y_preds.append(y_pred_tissue_r)\n", " \n", " spearman_r_val, _ = spearmanr(y_pred_tissue_r[np.arange(y_tissue_r.shape[0]), dist_index_r], y_tissue_r[np.arange(y_tissue_r.shape[0]), dist_index_r])\n", " model_spearman_rs[tissue_ix] = spearman_r_val\n", " \n", " print(\"- Spearman r = \" + str(round(spearman_r_val, 3)))\n", " print(\"- n = \" + str(y_tissue_r.shape[0]))\n", "\n", " f = plt.figure(figsize=(3, 3))\n", "\n", " plt.scatter(y_pred_tissue_r[np.arange(y_tissue_r.shape[0]), dist_index_r], y_tissue_r[np.arange(y_tissue_r.shape[0]), dist_index_r], color='black', s=8, alpha=0.2)\n", "\n", " plt.xlim(0., 1.)\n", " plt.ylim(0., 1.)\n", "\n", " plt.tight_layout()\n", " plt.show()\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "\n", "y_1_prox = []\n", "y_2_prox = []\n", "for i in range(s.shape[0]) :\n", " y_1_prox.append(y_1[i, prox_index[i]])\n", " y_2_prox.append(y_2[i, prox_index[i]])\n", "\n", "y_1_prox = np.array(y_1_prox)\n", "y_2_prox = np.array(y_2_prox)\n", "\n", "logodds_1_prox = np.log(np.clip(y_1_prox, 1e-6, 1. - 1e-6) / (1. - np.clip(y_1_prox, 1e-6, 1. - 1e-6)))\n", "logodds_2_prox = np.log(np.clip(y_2_prox, 1e-6, 1. - 1e-6) / (1. - np.clip(y_2_prox, 1e-6, 1. - 1e-6)))\n", "\n", "y_1_dist = []\n", "y_2_dist = []\n", "for i in range(s.shape[0]) :\n", " y_1_dist.append(y_1[i, dist_index[i]])\n", " y_2_dist.append(y_2[i, dist_index[i]])\n", "\n", "y_1_dist = np.array(y_1_dist)\n", "y_2_dist = np.array(y_2_dist)\n", "\n", "logodds_1_dist = np.log(np.clip(y_1_dist, 1e-6, 1. - 1e-6) / (1. - np.clip(y_1_dist, 1e-6, 1. - 1e-6)))\n", "logodds_2_dist = np.log(np.clip(y_2_dist, 1e-6, 1. - 1e-6) / (1. - np.clip(y_2_dist, 1e-6, 1. - 1e-6)))\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "keep_index = ((y_1_prox > 0.01) & (y_1_prox < .99))\n", "keep_index = keep_index & ((y_2_prox > 0.01) & (y_2_prox < .99))\n", "\n", "s_prox_std = (s_prox - np.mean(s_prox)) / np.std(s_prox)\n", "s_dist_std = (s_dist - np.mean(s_dist)) / np.std(s_dist)\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "plt.scatter(y_1_prox[keep_index], y_2_prox[keep_index], cmap='bwr', c=(s_prox_std - s_dist_std)[keep_index], vmin=-2., vmax=2., s=15, alpha=0.5)\n", "\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 1)\n", "\n", "plt.xticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "\n", "plt.xlabel(cell_type_1, fontsize=12)\n", "plt.ylabel(cell_type_2, fontsize=12)\n", "\n", "plt.title(\"Measured PPUI\", fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "keep_index = ((y_1_dist > 0.01) & (y_1_dist < .99))\n", "keep_index = keep_index & ((y_2_dist > 0.01) & (y_2_dist < .99))\n", "\n", "s_prox_std = (s_prox - np.mean(s_prox)) / np.std(s_prox)\n", "s_dist_std = (s_dist - np.mean(s_dist)) / np.std(s_dist)\n", "\n", "f = plt.figure(figsize=(4, 4))\n", "\n", "plt.scatter(y_1_dist[keep_index], y_2_dist[keep_index], cmap='bwr', c=(s_prox_std - s_dist_std)[keep_index], vmin=-2., vmax=2., s=15, alpha=0.5)\n", "\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 1)\n", "\n", "plt.xticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "plt.yticks([0.0, 0.25, 0.5, 0.75, 1.0], fontsize=12)\n", "\n", "plt.xlabel(cell_type_1, fontsize=12)\n", "plt.ylabel(cell_type_2, fontsize=12)\n", "\n", "plt.title(\"Measured PDUI\", fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "#Proximal-most vs Distal-most PAS scores\n", "\n", "ys_1_dists = []\n", "ys_1_dist_means = []\n", "ys_1_dist_medians = []\n", "ys_1_dist_stds = []\n", "for k in range(0, 10) :\n", " \n", " s_d = []\n", " for i in range(s.shape[0]) :\n", " if dist_index[i] - k >= 0 and (y_1[i, dist_index[i] - k] > 0. and y_1[i, dist_index[i] - k] < 1.) :\n", " s_d.append(np.log(y_1[i, dist_index[i] - k] / (1. - y_1[i, dist_index[i] - k])))\n", " \n", " ys_1_dists.append(np.array(s_d))\n", " \n", " ys_1_dist_means.append(np.mean(ys_1_dists[-1]))\n", " ys_1_dist_medians.append(np.median(ys_1_dists[-1]))\n", " ys_1_dist_stds.append(np.std(ys_1_dists[-1]))\n", "\n", "ys_1_dist_means = np.array(ys_1_dist_means)\n", "ys_1_dist_medians = np.array(ys_1_dist_medians)\n", "ys_1_dist_stds = np.array(ys_1_dist_stds)\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "#Proximal-most vs Distal-most PAS scores\n", "\n", "ys_2_dists = []\n", "ys_2_dist_means = []\n", "ys_2_dist_medians = []\n", "ys_2_dist_stds = []\n", "for k in range(0, 10) :\n", " \n", " s_d = []\n", " for i in range(s.shape[0]) :\n", " if dist_index[i] - k >= 0 and (y_2[i, dist_index[i] - k] > 0. and y_2[i, dist_index[i] - k] < 1.) :\n", " s_d.append(np.log(y_2[i, dist_index[i] - k] / (1. - y_2[i, dist_index[i] - k])))\n", " \n", " ys_2_dists.append(np.array(s_d))\n", " \n", " ys_2_dist_means.append(np.mean(ys_2_dists[-1]))\n", " ys_2_dist_medians.append(np.median(ys_2_dists[-1]))\n", " ys_2_dist_stds.append(np.std(ys_2_dists[-1]))\n", "\n", "ys_2_dist_means = np.array(ys_2_dist_means)\n", "ys_2_dist_medians = np.array(ys_2_dist_medians)\n", "ys_2_dist_stds = np.array(ys_2_dist_stds)\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "f = plt.figure(figsize=(8, 4))\n", "\n", "plt.errorbar(np.arange(10), ys_1_dist_medians[::-1], yerr=ys_1_dist_stds[::-1], alpha=0.5, linewidth=3, color='red', linestyle='-')\n", "plt.errorbar(np.arange(10), ys_2_dist_medians[::-1], yerr=ys_2_dist_stds[::-1], alpha=0.5, linewidth=3, color='deepskyblue', linestyle='-')\n", "\n", "plt.xlim(-0.5, 9.5)\n", "plt.ylim(-6.0, 2.5)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:tensorflow]", "language": "python", "name": "conda-env-tensorflow-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }