{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using TensorFlow backend.\n" ] } ], "source": [ "import keras\n", "from keras.models import Sequential, Model, load_model\n", "\n", "import os\n", "import pickle\n", "import numpy as np\n", "import pandas as pd\n", "\n", "import scipy.sparse as sp\n", "import scipy.io as spio\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "#from scrambler.models import *\n", "from scrambler.utils import OneHotEncoder, get_sequence_masks\n", "from scrambler.visualizations import plot_protein_logo, plot_protein_importance_scores\n", "\n", "from rosetta_utils import make_a3m, parse_a3m, one_hot_encode_msa, load_trrosetta_model, optimize_trrosetta_scores\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1, 1, 100, 20)\n" ] } ], "source": [ "#Load MSA-free sequence\n", "\n", "sequence_name = \"hallucinated_0959\"\n", "\n", "fig_name = sequence_name\n", "\n", "a3m = [\"MTVSKIADAIGAALQEEGFNISSFTVQAHPDNGVFRVNITLMFPKDDYEKLQQRLLKAVRRAAEEAGYNITDLDISYSEHTYNGKKWRTLSLSFYVRVPP\"]\n", "msa_one_hot = np.expand_dims(one_hot_encode_msa(make_a3m(a3m)), axis=0)[:, :1, ...]\n", "\n", "x = msa_one_hot[:, :1, :, :20]\n", "\n", "print(x.shape)\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "#Initialize sequence encoder\n", "\n", "seq_length = x.shape[2]\n", "\n", "residues = list(\"ARNDCQEGHILKMFPSTWYV\")\n", "residue_map = {\n", " residue : residue_ix\n", " for residue_ix, residue in enumerate(residues)\n", "}\n", "\n", "encoder = OneHotEncoder(seq_length=seq_length, channel_map=residue_map)\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Define background distribution (naturally occuring residue frequency from PDB)\n", "\n", "x_mean = np.tile(np.array([0.07892653, 0.04979037, 0.0451488 , 0.0603382 , 0.01261332,\n", " 0.03783883, 0.06592534, 0.07122109, 0.02324815, 0.05647807,\n", " 0.09311339, 0.05980368, 0.02072943, 0.04145316, 0.04631926,\n", " 0.06123779, 0.0547427 , 0.01489194, 0.03705282, 0.0691271]).reshape(1, -1), (seq_length, 1))\n", "\n", "plot_protein_logo(residue_map, np.copy(x_mean), sequence_template='$' * seq_length, figsize=(12, 1), logo_height=1.0, plot_start=0, plot_end=seq_length)\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean KL Div against background (bits) = 4.166424666946717\n" ] } ], "source": [ "#Calculate mean training set kl-divergence against background\n", "\n", "x_clipped = np.clip(np.copy(x[:, 0, :, :]), 1e-8, 1. - 1e-8)\n", "\n", "kl_divs = np.sum(x_clipped * np.log(x_clipped / np.tile(np.expand_dims(x_mean, axis=0), (x_clipped.shape[0], 1, 1))), axis=-1) / np.log(2.0)\n", "\n", "x_mean_kl_div = np.mean(kl_divs)\n", "\n", "print(\"Mean KL Div against background (bits) = \" + str(x_mean_kl_div))\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "#Load trRosetta predictor\n", "\n", "model_path = 'model2019_07/model.xaa_batched.h5'\n", "\n", "predictor = load_trrosetta_model(model_path)\n", "\n", "predictor.trainable = False\n", "predictor.compile(\n", " loss='mse',\n", " optimizer=keras.optimizers.SGD(lr=0.1)\n", ")\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Test predictor on sequence\n", "\n", "save_figs = False\n", "\n", "pd, pt, pp, po = predictor.predict(x=[x[:, 0, :, :], np.concatenate([x, np.zeros((1, 1, x.shape[2], 1))], axis=-1)], batch_size=1)\n", "\n", "f, ax_list = plt.subplots(1, 4, figsize=(12, 3))\n", "\n", "p_list = [\n", " [pd, 'distance', ax_list[0]],\n", " [pt, 'theta', ax_list[1]],\n", " [pp, 'phi', ax_list[2]],\n", " [po, 'omega', ax_list[3]]\n", "]\n", "\n", "for p_keras, p_name, p_ax in p_list :\n", "\n", " p_keras_vals = np.argmax(p_keras[0, ...], axis=-1)\n", "\n", " p_ax.imshow(np.max(p_keras_vals) - p_keras_vals, cmap=\"Reds\", vmin=0, vmax=np.max(p_keras_vals))\n", "\n", " p_ax.set_title(p_name, fontsize=14)\n", " p_ax.set_xlabel(\"Position\", fontsize=14)\n", " p_ax.set_ylabel(\"Position\", fontsize=14)\n", "\n", " plt.sca(p_ax)\n", "\n", " plt.xticks([0, p_keras_vals.shape[0]], [0, p_keras_vals.shape[0]], fontsize=14)\n", " plt.yticks([0, p_keras_vals.shape[1]], [0, p_keras_vals.shape[1]], fontsize=14)\n", "\n", "plt.tight_layout()\n", "\n", "if save_figs :\n", " plt.savefig(fig_name + '_p_distribs.png', transparent=True, dpi=150)\n", " plt.savefig(fig_name + '_p_distribs.svg')\n", " plt.savefig(fig_name + '_p_distribs.eps')\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "WARNING: The TensorFlow contrib module will not be included in TensorFlow 2.0.\n", "For more information, please see:\n", " * https://github.com/tensorflow/community/blob/master/rfcs/20180907-contrib-sunset.md\n", " * https://github.com/tensorflow/addons\n", "If you depend on functionality not listed there, please file an issue.\n", "\n", "Finetuning batch 0...\n", "Epoch 1/1\n", "500/500 [==============================] - 183s 365ms/step - loss: 5.1968 - nll_loss: 4.6174 - entropy_loss: 0.5794\n" ] } ], "source": [ "#Interpret the sequence usin inclusion scrambling\n", "\n", "pwm, sample, importance_scores, train_histories = optimize_trrosetta_scores(\n", " predictor,\n", " x,\n", " batch_size=1,\n", " n_iters=500,\n", " input_background=x_mean,\n", " scrambler_mode='inclusion',\n", " norm_mode='instance',\n", " adam_accum_iters=2,\n", " adam_lr=0.01,\n", " adam_beta_1=0.5,\n", " adam_beta_2=0.9,\n", " n_samples=4,\n", " sample_mode='gumbel',\n", " entropy_mode='target',\n", " entropy_bits=1.,\n", " entropy_weight=10.\n", ")\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "def _rolling_average(x, window=1) :\n", " x_avg = []\n", " \n", " for j in range(x.shape[0]) :\n", " j_min = max(j - window + 1, 0)\n", " x_avg.append(np.mean(x[j_min:j+1]))\n", " \n", " return np.array(x_avg)\n", "\n", "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(2 * 4, 3))\n", "\n", "n_epochs_actual = len(train_histories[0]['nll'])\n", "\n", "nll_rolling_window = 25\n", "entropy_rolling_window = 25\n", "\n", "for i in range(len(train_histories)) :\n", " ax1.plot(np.arange(1, n_epochs_actual + 1), _rolling_average(np.array(train_histories[i]['nll']), window=nll_rolling_window), linewidth=3)\n", "\n", "plt.sca(ax1)\n", "plt.xlabel(\"Epochs\", fontsize=14)\n", "plt.ylabel(\"NLL\", fontsize=14)\n", "plt.xlim(1, n_epochs_actual)\n", "plt.xticks([1, n_epochs_actual], [1, n_epochs_actual], fontsize=12)\n", "plt.yticks(fontsize=12)\n", "\n", "for i in range(len(train_histories)) :\n", " ax2.plot(np.arange(1, n_epochs_actual + 1), _rolling_average(np.array(train_histories[i]['entropy']), window=entropy_rolling_window), linewidth=3)\n", "\n", "plt.sca(ax2)\n", "plt.xlabel(\"Epochs\", fontsize=14)\n", "plt.ylabel(\"Entropy Loss\", fontsize=14)\n", "plt.xlim(1, n_epochs_actual)\n", "plt.xticks([1, n_epochs_actual], [1, n_epochs_actual], fontsize=12)\n", "plt.yticks(fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()\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": [ "#Visualize the reconstructed sequence pattern\n", "\n", "save_figs = False\n", "\n", "plot_protein_logo(residue_map, x[0, 0, :, :], sequence_template='$' * seq_length, figsize=(12, 1), plot_start=0, plot_end=seq_length, save_figs=save_figs, fig_name=fig_name + \"_orig_sequence\")\n", "plot_protein_logo(residue_map, pwm[0, 0, :, :], sequence_template='$' * seq_length, figsize=(12, 1), plot_start=0, plot_end=seq_length, save_figs=save_figs, fig_name=fig_name + \"_scrambled_pwm\")\n", "plot_protein_importance_scores(importance_scores[0, 0, :, :].T, encoder.decode(x[0, 0, :, :]), figsize=(12, 1), score_clip=None, sequence_template='$' * seq_length, plot_start=0, plot_end=seq_length, save_figs=save_figs, fig_name=fig_name + \"_scores\")\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "#Test reconstructive ability on scrambled samples\n", "\n", "n_samples = 512\n", "\n", "nts = np.arange(20)\n", "\n", "samples = np.zeros((n_samples, 1, pwm.shape[2], pwm.shape[3]))\n", "for sample_ix in range(n_samples) :\n", " for j in range(pwm.shape[2]) :\n", " \n", " rand_nt = np.random.choice(nts, p=pwm[0, 0, j, :])\n", " samples[sample_ix, 0, j, rand_nt] = 1.\n", "\n", "samples_msa = np.concatenate([\n", " samples,\n", " np.zeros((samples.shape[0], samples.shape[1], samples.shape[2], 1))\n", "], axis=-1)\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "#Test predictor on scrambled sequences\n", "\n", "pd_scrambled, pt_scrambled, pp_scrambled, po_scrambled = predictor.predict(x=[samples[:, 0, :, :], samples_msa], batch_size=4)\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean KL Div = 2.728\n", "Median KL Div = 2.676\n" ] } ], "source": [ "#Calculate KL-divergences to unscrambled distributions\n", "\n", "def _get_kl_divergence_numpy(p_dist, p_theta, p_phi, p_omega, t_dist, t_theta, t_phi, t_omega) :\n", " \n", " kl_dist = np.mean(np.sum(t_dist * np.log(t_dist / p_dist), axis=-1), axis=(-2, -1))\n", " kl_theta = np.mean(np.sum(t_theta * np.log(t_theta / p_theta), axis=-1), axis=(-2, -1))\n", " kl_phi = np.mean(np.sum(t_phi * np.log(t_phi / p_phi), axis=-1), axis=(-2, -1))\n", " kl_omega = np.mean(np.sum(t_omega * np.log(t_omega / p_omega), axis=-1), axis=(-2, -1))\n", " \n", " return kl_dist + kl_theta + kl_phi + kl_omega\n", "\n", "kl_divs = _get_kl_divergence_numpy(pd_scrambled, pt_scrambled, pp_scrambled, po_scrambled, pd, pt, pp, po)\n", "\n", "print(\"Mean KL Div = \" + str(round(np.mean(kl_divs), 3)))\n", "print(\"Median KL Div = \" + str(round(np.median(kl_divs), 3)))\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Plot top x:th percentile of reconstructed contact map\n", "\n", "save_figs = False\n", "\n", "kl_divs_argsort = np.argsort(kl_divs)[::-1]\n", "\n", "qt = 0.95\n", "\n", "qt_ix = kl_divs_argsort[int(qt * kl_divs_argsort.shape[0])]\n", "\n", "pd_scrambled_qt = pd_scrambled[qt_ix:qt_ix+1]\n", "pt_scrambled_qt = pt_scrambled[qt_ix:qt_ix+1]\n", "pp_scrambled_qt = pp_scrambled[qt_ix:qt_ix+1]\n", "po_scrambled_qt = po_scrambled[qt_ix:qt_ix+1]\n", "\n", "f, ax_list = plt.subplots(1, 4, figsize=(12, 3))\n", "\n", "p_list = [\n", " [pd_scrambled_qt, 'distance', ax_list[0]],\n", " [pt_scrambled_qt, 'theta', ax_list[1]],\n", " [pp_scrambled_qt, 'phi', ax_list[2]],\n", " [po_scrambled_qt, 'omega', ax_list[3]]\n", "]\n", "\n", "for p_keras, p_name, p_ax in p_list :\n", "\n", " p_keras_vals = np.argmax(p_keras[0, ...], axis=-1)\n", "\n", " p_ax.imshow(np.max(p_keras_vals) - p_keras_vals, cmap=\"Reds\", vmin=0, vmax=np.max(p_keras_vals))\n", "\n", " p_ax.set_title(p_name, fontsize=14)\n", " p_ax.set_xlabel(\"Position\", fontsize=14)\n", " p_ax.set_ylabel(\"Position\", fontsize=14)\n", "\n", " plt.sca(p_ax)\n", "\n", " plt.xticks([0, p_keras_vals.shape[0]], [0, p_keras_vals.shape[0]], fontsize=14)\n", " plt.yticks([0, p_keras_vals.shape[1]], [0, p_keras_vals.shape[1]], fontsize=14)\n", "\n", "plt.tight_layout()\n", "\n", "if save_figs :\n", " plt.savefig(fig_name + '_p_qt_' + str(qt).replace(\".\", \"\") + '_distribs.png', transparent=True, dpi=150)\n", " plt.savefig(fig_name + '_p_qt_' + str(qt).replace(\".\", \"\") + '_distribs.eps')\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Environment (conda_tensorflow_p36)", "language": "python", "name": "conda_tensorflow_p36" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }