{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Simulated one-dimensional latent space" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import string\n", "import pandas as pd\n", "\n", "from itertools import combinations\n", "from gpytorch.kernels import RQKernel\n", "import torch\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulate data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def sim(seed, p=5):\n", "\n", " N = 2 ** p\n", " torch.random.manual_seed(seed)\n", " W = (torch.randn(p, 1) - 0.2) * 2\n", "\n", " X = torch.zeros(N, p)\n", " ind = 1\n", "\n", " # for all # of mutations\n", " for mutations in range(1, p + 1):\n", "\n", " # for selected combination of mutations for a variant\n", " for variant in combinations(range(p), mutations):\n", "\n", " # for each selected\n", " for s in variant:\n", " X[ind, s] = 1\n", "\n", " # update after variant\n", " ind += 1\n", "\n", " z = torch.mm(X, W)\n", " Z = torch.linspace(z.min(), z.max(), 100)[:, None]\n", " z_samp = torch.cat((z, Z), 0)\n", "\n", " kernel = RQKernel()\n", " with torch.no_grad():\n", " K = kernel(z_samp).evaluate()\n", " f = torch.distributions.MultivariateNormal(\n", " torch.zeros(N + 100), 0.0025 * K + torch.eye(N + 100) * 1e-7\n", " ).rsample() + torch.sigmoid(0.9+ z_samp[:, 0])\n", " \n", " y = f[:N] + torch.randn(N) * 0.05\n", "\n", " return W, X, z, y, Z, f[N:]\n", "\n", "p = 5\n", "W, X, z, y, Z, f = sim(100, p=p)\n", "\n", "plt.figure(figsize=(4, 3), dpi=300)\n", "plt.plot(Z, f)\n", "plt.scatter(z, y, c=\"C2\", alpha=0.8)\n", "plt.axvline(0, c=\"k\", ls=\"--\")\n", "\n", "for i in range(p):\n", " plt.arrow(0, -.05*i, W[i].item(), 0, color=f\"C{3+i}\", width=0.01)\n", " \n", "plt.ylabel(\"phenotype\")\n", "plt.xlabel(\"$z_1$\")\n", " \n", "None" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Convert to dataframe" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We convert the generated dataset to a pandas DataFrame for use with LANTERN." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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substitutionsphenotype
01.711029
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2+b0.693510
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" ], "text/plain": [ " substitutions phenotype\n", "0 1.711029\n", "1 +a 2.069441\n", "2 +b 0.693510\n", "3 +c 0.269302\n", "4 +d 1.718302" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.DataFrame(\n", " {\n", " \"substitutions\": [\n", " \":\".join(\n", " [\n", " # encode each mutation as one of +a, +b, ...\n", " \"+{}\".format(string.ascii_lowercase[i])\n", " for i in np.where(X[j, :].numpy())[0]\n", " ]\n", " )\n", " for j in range(X.shape[0])\n", " ],\n", " \"phenotype\": ((y-y.mean())/y.std()).numpy(),\n", " },\n", ")\n", "\n", "df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Build LANTERN dataset" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Dataset(substitutions='substitutions', phenotypes=['phenotype'], errors=None)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from lantern.dataset import Dataset\n", "ds = Dataset(df)\n", "ds" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "32" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 32 observations\n", "len(ds)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(tensor([0., 0., 0., 0., 0.]), tensor([1.7110]))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# get the first element (a tuple of x_0, y_0)\n", "ds[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Build model" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "K = 4" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from lantern.model.basis import VariationalBasis\n", "\n", "basis = VariationalBasis.fromDataset(ds, K=K)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from lantern.model.surface import Phenotype\n", "\n", "surface = Phenotype.fromDataset(ds, K=K, Ni=200, inducScale=1.0)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "from lantern.model import Model\n", "from lantern.model.likelihood import GaussianLikelihood\n", "\n", "model = Model(basis, surface, GaussianLikelihood())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Train model" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'loss')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from torch.optim import Adam\n", "\n", "loss = model.loss(N=len(ds))\n", "Xtrain, ytrain = ds[: len(ds)]\n", "\n", "E = 3000\n", "optimizer = Adam(loss.parameters(), lr=0.01)\n", "hist = []\n", "halpha = np.zeros((E, K))\n", "\n", "for i in range(E):\n", " \n", " optimizer.zero_grad()\n", " yhat = model(Xtrain)\n", " lss = loss(yhat, ytrain)\n", " total = sum(lss.values())\n", " total.backward()\n", " optimizer.step()\n", " \n", " hist.append(total.item())\n", " halpha[i, :] = basis.qalpha(detach=True).mean.numpy()\n", " \n", "\n", "plt.figure(figsize=(4, 3), dpi=300)\n", "plt.plot(hist)\n", "plt.xlabel(\"epoch\")\n", "plt.ylabel(\"loss\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also review the learned variance for each dimension at each iteration:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(4, 3), dpi=300)\n", "plt.plot(1/halpha)\n", "plt.xlabel(\"epoch\")\n", "plt.ylabel(\"variance\")\n", "plt.semilogy()\n", "\n", "None" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Analyze model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model dimensionality" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is a built-in utility for computing the dimensionality learned by LANTERN:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "from lantern.model import dimensionality" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The dimensionality calculations require the trained model and dataset. The number displayed as output is the total number of dimensions found in the model (this is also available as the attribute `K` of the returned `Dimensionality` object" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Dimensionality(1)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dim = dimensionality(model, ds)\n", "dim" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To view the statistics used to determine the dimensionality (see LANTERN's associated manuscript for more details), there is a diagnostic plot available:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dim.plotStatistics(nrow=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, to see the variance learned for each dimension (with circles representing dimensions included according to the determined dimensionality), run:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dim.plotVariance(model.basis)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compared learned latent effects" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The order of dimensions by relevance (e.g. their variance) is stochastic, and can change on different re-runs. We provide an `order` attribute on the `basis` component to address this problem. The `order` is the indexes of the latent dimensions sorted by their variance. We store the index of the highest relevance dimension here for further analysis." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "z1 = basis.order[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When comparing the latent mutational effects learned by LANTERN to the true effects, there is strong correspondence between the two. In this case, LANTERN has learned a reflection of the true effects (i.e. $z_1$ learned by LANTERN corresponds to $-z_1$ used to simulate the data). So, the learned effects are strongly negatively correlated with their true value." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Wapprox = basis.W_mu[:, z1].detach().numpy()\n", "\n", "plt.figure(figsize=(4, 3), dpi=300)\n", "plt.scatter(Wapprox, W)\n", "plt.xlabel(\"$z_1$ (from LANTERN)\")\n", "plt.ylabel(\"$z_1$ (actual)\")\n", "\n", "None" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot learned surface" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We compare the learned surface to the true, underlying surface. Since LANTERN is unaware of the underlying scale of the latent mutational effect dimension, we rescale the true $z_1$ to match that of the $z_1$ learned by LANTERN." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with torch.no_grad():\n", " \n", " Zapprox = basis(X)\n", " \n", " Zpred = torch.zeros(100, K)\n", " Zpred[:, z1] = torch.linspace(Zapprox[:, z1].min(), Zapprox[:, z1].max(), 100)\n", "\n", " fpred = surface(Zpred)\n", " \n", " lo, hi = fpred.confidence_region()\n", " \n", "plt.figure(figsize=(4, 3), dpi=300)\n", "\n", "plt.plot(Zpred[:, z1].numpy(), fpred.mean.numpy(), label=\"surface (learned)\")\n", "plt.fill_between(Zpred[:, z1].numpy(), lo.numpy(), hi.numpy(), alpha=0.6)\n", "\n", "# this scales the actual mutational effect space to the learned one\n", "scale = Zapprox[:, z1].mean() / z.mean()\n", "\n", "plt.plot(Z*scale, (f - y.mean())/y.std(), label=\"surface (actual)\")\n", "plt.scatter(z*scale, (y - y.mean())/y.std(), c=\"C2\", alpha=0.8, label=\"data\")\n", "plt.axvline(0, c=\"k\", ls=\"--\", label=\"wild-type\")\n", "plt.xlabel(\"$z_1$\")\n", "plt.ylabel(\"phenotype\")\n", "plt.legend()\n", "\n", "None" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }