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{
"cells": [
{
"cell_type": "markdown",
"id": "c85b9399",
"metadata": {},
"source": [
"This notebook implements many differents solutions for the PLN PCA model. This is more a test of the differents methods since we are building ourselves the data, and we know the true parameter Sigma and beta. This is just to check the method. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "b1b98cb7",
"metadata": {},
"outputs": [],
"source": [
"%load_ext autoreload\n",
"\n",
"%autoreload 2"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "f7b4effe",
"metadata": {},
"outputs": [],
"source": [
"import math\n",
"import time \n",
"from fastPLNmodels.utils import init_C, init_M, RMSE,Poisson_reg, sample_PLN, build_block_Sigma, C_from_Sigma, MSE\n",
"from fastPLNmodels.models import fastPLN, IMPS_PLN, fastPLNPCA\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import numpy as np\n",
"import torch\n",
"import threading\n",
"import seaborn as sns\n",
"from tqdm import tqdm\n",
"import scipy.linalg as SLA \n",
"import torch.linalg as TLA\n",
"from scipy.linalg import toeplitz \n",
"from sklearn.linear_model import LinearRegression\n",
"\n",
"torch.set_default_dtype(torch.float64)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "a33ff459",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"device : cuda\n"
]
}
],
"source": [
"#get the device\n",
"if torch.cuda.is_available(): \n",
" device = torch.device('cuda') \n",
"else : \n",
" device = torch.device('cpu')\n",
"print('device : ', device)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "d2d2c98e",
"metadata": {},
"outputs": [],
"source": [
"def launch_dimensions(dict_dimensions,N_iter, lr):\n",
" '''\n",
" launch some optimizers to compare them after. \n",
" args : \n",
" dict_optimizer : dictionnarie. dict that contains the optimizer. example: {'Rprop': torch.optim.Rprop}\n",
" \n",
" N_iter : int. the number of iteration you want the models to do for each optimizer. \n",
" \n",
" lr : float. the learning rate of each optimizer.\n",
" '''\n",
" ts = list()\n",
" models = list()\n",
" for name, dim in dict_dimensions.items(): \n",
" model = fastPLNPCA()\n",
" t = threading.Thread(target =model.fit,\n",
" args = [data, N_iter ,dim, 'PCA', 0 , torch.optim.Rprop, 1, False ])\n",
" # data, N_iter, q, loss_choice = 'PCA', tolerance = 0, optimizer = torch.optim.Rprop, lr = 1,verbose = False\n",
" #t = threading.Thread(target =model.VEM_both_closed,\n",
" # args = [data, N_iter ,Nb_each_iter , lr, 0.01 , False] )\n",
" t.start()\n",
" ts.append(t)\n",
" models.append(model)\n",
" for t in ts : \n",
" t.join()\n",
" \n",
" return dict(zip(dict_dimensions.keys(), models))\n",
"\n",
"def launch_optimizers(dict_optimizers,N_iter, lr):\n",
" '''\n",
" launch some optimizers to compare them after. \n",
" args : \n",
" dict_optimizer : dictionnarie. dict that contains the optimizer. example: {'Rprop': torch.optim.Rprop}\n",
" \n",
" N_iter : int. the number of iteration you want the models to do for each optimizer. \n",
" \n",
" lr : float. the learning rate of each optimizer.\n",
" '''\n",
" ts = list()\n",
" models = list()\n",
" Nb_each_iter = 20 \n",
" for name, optimizer in dict_optimizers.items(): \n",
" model = fastPLNPCA()\n",
" t = threading.Thread(target =model.fit,\n",
" args = [data, N_iter ,p//2, 'PCA', 0 , optimizer, 1, False ])\n",
" t.start()\n",
" ts.append(t)\n",
" models.append(model)\n",
" for t in ts : \n",
" t.join()\n",
" \n",
" return dict(zip(dict_optimizers.keys(), models))\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 109,
"id": "1469c8d1",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Max ELBO 1060538.9554203737\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"<ipython-input-108-eb40bc607e80>:76: RuntimeWarning: divide by zero encountered in log\n",
" ax[0].plot(abscisse, np.log(-np.array(model.ELBO_list)+max_), label = 'ELBO')\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x864 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"ename": "NameError",
"evalue": "name 'dict_models' is not defined",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-109-606842a9da67>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mcompare_models\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;32m<ipython-input-108-eb40bc607e80>\u001b[0m in \u001b[0;36mcompare_models\u001b[0;34m(model, name_doss, save, threshold)\u001b[0m\n\u001b[1;32m 91\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 92\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 93\u001b[0;31m \u001b[0msns\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mheatmap\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdict_models\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'PCA'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_Sigma\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdetach\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 94\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mNameError\u001b[0m: name 'dict_models' is not defined"
]
}
],
"source": [
"compare_models(model)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "2ee208b6",
"metadata": {},
"outputs": [],
"source": [
"def compute_approximate_gaussian_r_2(beta, covariates, Z): \n",
" XB = covariates@beta\n",
" XTX = (covariates.T)@covariates\n",
" eps = Z\n",
" SCR = torch.trace((eps.T)@eps)\n",
" SCT = SCR + torch.trace((beta.T)@XTX@beta)\n",
" return 1 - SCR/SCT"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "0d2354fe",
"metadata": {},
"outputs": [],
"source": [
"def constrain(Sigma,q): \n",
" w,v = SLA.eigh(Sigma)\n",
" w = torch.from_numpy(w)\n",
" v = torch.from_numpy(v)\n",
" w_bis = torch.clone(w)\n",
" p = Sigma.shape[0]\n",
" w_bis[:p-q] = 0 \n",
" constrained = v@torch.diag(w_bis)@v.T\n",
" return constrained"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "49988a71",
"metadata": {},
"outputs": [
{
"ename": "NameError",
"evalue": "name 'Z_sampled' is not defined",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-9-294b129a6d0d>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mtarget\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mZ_sampled\u001b[0m\u001b[0;34m+\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmm\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcovariates\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mtrue_beta\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mclf\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mLinearRegression\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mclf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcovariates\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mtarget\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mbeta_dream\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfrom_numpy\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mclf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcoef_\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mMLE_beta\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mbeta_dream\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mtrue_beta\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mNameError\u001b[0m: name 'Z_sampled' is not defined"
]
}
],
"source": [
"target = Z_sampled+ torch.mm(covariates,true_beta)\n",
"clf = LinearRegression()\n",
"clf.fit(covariates,target)\n",
"beta_dream = torch.from_numpy(clf.coef_.T)\n",
"MLE_beta = torch.mean((beta_dream-true_beta)**2)\n",
"print('MSE beta in the latent layer:', MLE_beta)"
]
},
{
"cell_type": "code",
"execution_count": 75,
"id": "b105acc5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"MLE :\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"true Sigma\n",
"Best MSE we can have (in our dream): tensor(0.0098)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"## Here we plot the MLE for Z the latent variables. They are unknown in practice\n",
"## this is just to see the difference between our result and the best result possible \n",
"mu_MLE = torch.mean(Z_sampled, dim = 0)\n",
"m = mu_MLE.shape[0]\n",
"Sigma_MLE = 1/Z_sampled.shape[0]*((Z_sampled-mu_MLE).T)@(Z_sampled-mu_MLE)\n",
"print('MLE :')\n",
"sns.heatmap(Sigma_MLE.to(torch.device('cpu')))\n",
"plt.show()\n",
"print('true Sigma')\n",
"sns.heatmap(true_Sigma.to(torch.device('cpu')))\n",
"MLE_Sigma = torch.mean((Sigma_MLE.to(device)-true_Sigma)**2)\n",
"print('Best MSE we can have (in our dream): ', MLE_Sigma)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "f49bf7e6",
"metadata": {},
"outputs": [],
"source": [
"d = 2 # nb of cavariates\n",
"n = 200; p = 200\n",
"q = 30"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "1a33c378",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"R_2: tensor(0.4379, device='cuda:0')\n"
]
}
],
"source": [
"#torch.manual_seed(0)\n",
"#true_Sigma = torch.from_numpy(toeplitz(0.6**np.arange(p)))\n",
"true_Sigma = 1/1*torch.from_numpy(build_block_Sigma(p,20))#.to(device)\n",
"#true_Sigma = torch.eye(p)\n",
"true_C = C_from_Sigma(torch.from_numpy(SLA.sqrtm(true_Sigma)), q)\n",
"true_beta = torch.randn(d, p).to(device)\n",
"\n",
"covariates = torch.randn((n,d), device = device)\n",
"#covariates[:, 0] = -1\n",
"O = 0+torch.zeros((n,p), device = device)\n",
"\n",
"Y_sampled, Z_sampled,_ = sample_PLN(true_Sigma.to(device),true_beta.to(device), O, covariates, ZI = False)\n",
"\n",
"#covariates-=torch.mean(covariates, axis = 0)\n",
"data = [Y_sampled.double(), O, covariates]\n",
"R_2 = compute_approximate_gaussian_r_2(true_beta, covariates, Z_sampled)\n",
"print('R_2: ', R_2)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "ddf60f8f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"nb iteration to find the mode: 300\n",
"Maximum number of iterations reached : 500 last delta = 0.0016578516671510455\n",
"CPU times: user 5.64 s, sys: 31.5 ms, total: 5.67 s\n",
"Wall time: 5.64 s\n"
]
}
],
"source": [
"model = fastPLNPCA()\n",
"%time model.fit(Y_sampled, O, covariates, q, good_init = True, N_iter_max = 500, tolerance = 0)"
]
},
{
"cell_type": "code",
"execution_count": 210,
"id": "65066124",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"MSE beta tensor(0.0285, grad_fn=<MeanBackward0>)\n",
"MSE_Sigma tensor(0.4119, grad_fn=<MeanBackward0>)\n"
]
}
],
"source": [
"print('MSE beta', MSE(model.beta-true_beta))\n",
"print('MSE_Sigma', MSE(model.get_Sigma()-true_Sigma))"
]
},
{
"cell_type": "code",
"execution_count": 203,
"id": "b0d63604",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:>"
]
},
"execution_count": 203,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(model.get_Sigma().detach().numpy())"
]
},
{
"cell_type": "code",
"execution_count": 204,
"id": "98058c5a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:>"
]
},
"execution_count": 204,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(true_Sigma)"
]
},
{
"cell_type": "code",
"execution_count": 157,
"id": "9efbead4",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor([[ 1.3632e+00, 3.5156e+00, 1.3197e+00, 6.8000e-01, -8.8209e-01,\n",
" 1.1141e+00, -6.3782e-01, 1.4930e+00, 1.3699e+00, 2.7539e-01,\n",
" 2.3316e+00, -7.1133e-01, 1.7367e+00, 8.5741e-01, -1.5718e-01,\n",
" 2.6959e+00, 1.3278e+00, -2.5110e-02, 2.1235e+00, 1.0453e+00,\n",
" -1.6631e-01, 7.7521e-01, 6.3877e-01, 1.1621e+00, -2.7707e-01,\n",
" 7.4556e-01, 1.3177e+00, 8.0118e-01, 9.6553e-01, 6.7598e-01,\n",
" 1.7879e+00, 2.8118e-01, -2.7535e-01, 1.2220e+00, 2.3444e-01,\n",
" 2.0823e+00, 1.0296e+00, -5.8138e-01, -9.0115e-01, -1.1222e+00,\n",
" 1.7762e+00, 9.2097e-01, 5.0311e-01, 1.3390e+00, -9.2645e-02,\n",
" -6.2409e-01, 1.6543e+00, 1.1982e+00, -1.4827e+00, 2.0845e-01,\n",
" -4.0463e-01, 1.4194e-02, -6.8374e-01, -2.0151e-01, 6.1272e-01,\n",
" 2.1973e+00, -1.7754e-01, 1.0532e-01, 1.0634e+00, 4.5633e-01,\n",
" 5.6783e-01, 4.8789e-01, 7.5743e-01, 1.6331e+00, 9.5345e-01,\n",
" 1.6344e+00, 7.9638e-01, -7.6951e-02, 1.0459e+00, 6.4326e-01,\n",
" -7.0477e-01, 2.7243e-01, 1.6441e+00, 6.2565e-01, 8.2873e-01,\n",
" 5.1339e-01, -3.1869e-01, 1.1494e+00, 2.1553e-01, 5.9095e-01,\n",
" 1.5670e+00, 1.2200e+00, 4.0059e-02, -1.0030e-01, -3.3294e-01,\n",
" -2.2831e-02, 5.9456e-01, 9.6467e-01, 2.8294e-01, 8.9979e-01,\n",
" 6.9867e-01, 1.0069e+00, 8.8679e-01, -4.6243e-01, 1.1810e+00,\n",
" 1.7720e+00, 1.1173e+00, 5.0219e-01, 2.2002e+00, 4.4953e-01,\n",
" 6.3763e-01, -1.4897e+00, 6.7632e-01, 1.6003e+00, 1.5302e+00,\n",
" 8.0913e-01, -1.0753e+00, 1.4658e+00, 8.8939e-02, 2.4689e+00,\n",
" 6.2187e-01, -1.1149e-01, 1.8383e+00, 2.2622e-02, 4.7896e-02,\n",
" 1.4055e+00, 2.6367e+00, 1.1454e+00, -1.0463e+00, 2.4627e+00,\n",
" -1.4619e-01, 9.7736e-01, 1.5016e-01, -6.4723e-01, 1.3105e-01,\n",
" -1.8954e+00, -7.2586e-01, -7.7050e-01, -1.8107e+00, 1.1535e+00,\n",
" 2.3472e+00, 2.0226e-01, 2.7010e+00, 1.1462e+00, 1.4781e+00,\n",
" 2.2796e+00, 3.0448e-01, -2.8256e-01, 1.6071e+00, 5.7253e-01,\n",
" 2.2722e+00, 1.3375e+00, -4.4954e-01, 6.7985e-01, 1.0564e+00,\n",
" 1.1498e+00, 1.0055e+00, 1.7964e+00, -2.5543e-01, 3.5478e-01,\n",
" -1.8113e-01, 1.0351e-01, -1.2017e-01, -4.3037e-01, 1.0956e+00,\n",
" 1.7377e-01, 1.9453e+00, -5.9873e-02, 4.2773e-01, 2.1143e-01,\n",
" 3.2313e-01, -7.6571e-01, 7.8743e-01, 1.6053e+00, -3.8000e-01,\n",
" -5.5710e-02, 4.9251e-01, 5.7170e-01, 4.7715e-01, 1.3871e+00,\n",
" -3.2988e-01, -3.2771e-02, -1.8535e-01, -2.0113e-02, 1.4795e+00,\n",
" 1.0659e+00, 3.0984e-01, 8.9750e-01, -9.5776e-02, 1.2332e+00,\n",
" 1.6124e+00, 1.6091e+00, 2.3126e+00, 2.0495e+00, -1.7426e+00,\n",
" -4.0797e-01, 1.6373e+00, 8.6312e-01, -4.0019e-01, 1.0140e+00,\n",
" 1.0298e+00, 1.1495e+00, 2.0254e-01, -2.5338e-01, 1.1622e+00,\n",
" 1.1531e+00, -2.9298e-01, 1.3379e+00, -1.6111e-01, 1.0898e+00],\n",
" [ 9.3015e-01, -1.8977e-03, -4.6844e-03, -8.6904e-01, 1.4043e-01,\n",
" -3.3616e-01, 2.0427e+00, 4.5645e-01, -1.5076e-02, -5.4419e-01,\n",
" 2.7750e-01, 1.8915e+00, -4.9155e-02, 6.5344e-01, 1.4236e+00,\n",
" -1.0550e-01, -1.1402e+00, 4.5605e-02, 1.4495e+00, 8.4979e-01,\n",
" 3.3546e-01, 5.2261e-01, 5.1482e-01, 4.1328e-01, -7.1690e-01,\n",
" -3.4483e-01, 7.2326e-01, 8.6079e-01, 3.8615e-01, 2.1989e+00,\n",
" 5.4780e-01, 6.8513e-01, 1.4342e+00, 6.0994e-01, -5.2684e-02,\n",
" 1.2523e+00, -9.5785e-01, -1.1485e-01, 1.2607e+00, 4.9091e-01,\n",
" 1.1755e+00, -9.6622e-01, 1.2409e+00, -8.6244e-01, 1.1202e+00,\n",
" 9.0442e-01, 3.3694e-01, 1.6245e+00, -5.6099e-01, 4.5003e-01,\n",
" -3.8046e-01, 7.7448e-01, 7.2885e-02, 1.1663e+00, -2.7992e-01,\n",
" -1.3766e+00, -5.8319e-01, -4.5875e-01, 1.0499e+00, 3.5255e-02,\n",
" 1.2468e+00, 6.2921e-01, 3.6462e-01, 1.7542e-01, 9.4509e-01,\n",
" -8.1948e-01, 8.1291e-01, 1.5866e+00, -1.1842e+00, 2.3486e-01,\n",
" -5.0854e-01, 6.2575e-01, 1.5225e-01, -1.6521e-01, 6.1262e-01,\n",
" 1.2556e+00, 1.0468e+00, 1.5193e+00, 8.6044e-01, 1.3630e+00,\n",
" -4.6755e-01, -2.6773e-01, -1.3277e-01, -3.8273e-02, -1.0309e+00,\n",
" -4.1671e-01, 6.6172e-01, 1.0085e+00, 5.7975e-01, 2.1312e+00,\n",
" -1.2911e+00, 2.3564e+00, 1.9700e+00, 1.2627e+00, 2.7206e-01,\n",
" -5.4115e-01, 7.9145e-01, 7.7251e-02, 1.4999e+00, 7.5037e-01,\n",
" -4.3166e-01, 1.1725e-01, 1.4648e+00, 7.3541e-02, -1.0445e-02,\n",
" 2.4436e+00, 5.0171e-01, 9.0302e-01, 7.8375e-01, 1.0474e+00,\n",
" 3.4004e-01, -3.0552e-01, 2.6993e+00, -3.7891e-01, 2.0501e+00,\n",
" -5.4605e-02, 2.1631e+00, 5.2540e-01, -7.7694e-01, -3.9480e-01,\n",
" 9.4821e-01, -1.7516e-01, -5.3933e-01, 9.5828e-01, -5.3111e-02,\n",
" -1.0146e+00, -1.5677e-01, 8.5216e-01, 7.8528e-02, 2.1492e-01,\n",
" 2.3241e-01, -1.0247e-01, 1.9966e+00, 1.2481e+00, 1.0069e+00,\n",
" 1.8919e+00, -8.0132e-01, 7.6963e-01, -7.8086e-01, -4.6148e-01,\n",
" 2.4124e+00, -5.0122e-01, 1.1607e+00, 5.8348e-01, 2.1758e+00,\n",
" 1.1295e+00, 2.4835e+00, 3.5710e-01, -1.8699e-01, 9.2506e-01,\n",
" -1.0304e-01, -1.2203e+00, 7.0248e-01, 1.3427e+00, 7.8445e-01,\n",
" 1.0796e+00, 7.3891e-01, -2.3941e+00, 1.1318e+00, 2.1470e+00,\n",
" 1.1984e+00, 5.5938e-01, 1.2370e+00, 1.5465e+00, -3.2892e-01,\n",
" 1.1504e-01, 1.2054e+00, 5.2628e-01, -2.7662e-01, 7.6595e-01,\n",
" -2.9679e-01, 7.7885e-01, 1.5314e-01, -5.6489e-01, -2.0455e+00,\n",
" -2.6059e-01, -1.5436e-01, 6.5872e-02, -7.5037e-01, 1.9591e+00,\n",
" -1.4884e+00, 5.4450e-01, -9.2619e-01, 1.2526e+00, 1.1729e+00,\n",
" 1.1025e+00, 2.3353e-01, 1.6242e+00, 9.4361e-01, 1.0533e+00,\n",
" -4.8136e-01, 4.2014e-02, 2.8091e+00, 2.1392e-01, -9.8328e-02,\n",
" -7.2993e-02, 1.7716e+00, 2.7053e+00, -9.1069e-01, 2.4634e+00]],\n",
" requires_grad=True)"
]
},
"execution_count": 157,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model.beta"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "281287f4",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n_a = 0\n",
"n_b = 200\n",
"sns.heatmap(model.get_Sigma()[n_a:n_b,n_a:n_b].detach())"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "9e9dba53",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(true_Sigma)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "f1fca6ed",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor(0.9545)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def compute_SNR(covariates, beta, Y): \n",
" eps = Y_sampled-torch.exp(covariates@beta) \n",
" num = torch.mean(torch.norm(torch.exp(covariates@beta), dim = 1)**2)\n",
" denom = torch.mean(torch.norm(eps, dim = 1)**2)\n",
" SNR = num/denom\n",
" return SNR\n",
"compute_SNR(covariates,true_beta, Y_sampled) "
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "4daca8c8",
"metadata": {},
"outputs": [],
"source": [
"from fastPLNmodels.models import fastPLNPCA, fastPLN, IMPS_PLN\n",
"from fastPLNmodels.utils import build_block_Sigma, sample_PLN, C_from_Sigma, MSE\n",
"import scipy.linalg as SLA\n",
"import torch\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "7542a1f8",
"metadata": {},
"outputs": [],
"source": [
"device = torch.device('cpu')"
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "d2650733",
"metadata": {},
"outputs": [],
"source": [
"d = 1 # nb of cavariates\n",
"n = 1000; p = 100\n",
"q = 15"
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "4beb1a12",
"metadata": {},
"outputs": [],
"source": [
"#torch.manual_seed(0)\n",
"#true_Sigma = torch.from_numpy(toeplitz(0.6**np.arange(p)))\n",
"true_Sigma = 1/3*torch.from_numpy(build_block_Sigma(p,20))#.to(device)\n",
"true_C = C_from_Sigma(torch.from_numpy(SLA.sqrtm(true_Sigma)), q)\n",
"true_beta = torch.randn(d, p).to(device)\n",
"\n",
"covariates = torch.randn((n,d))\n",
"#covariates[:, 0] = -1\n",
"O = 0+torch.zeros((n,p))\n",
"\n",
"Y_sampled, Z_sampled,_ = sample_PLN(true_Sigma.to(device),true_beta.to(device), O, covariates, ZI = False)\n",
"Y_sampled = torch.from_numpy(Y_sampled)\n",
"\n",
"#covariates-=torch.mean(covariates, axis = 0)\n",
"data = [Y_sampled.double(), O, covariates]\n",
"#compute_SNR(covariates,true_beta, Y_sampled) "
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "5eacfe5e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"nb iteration to find the mode: 222\n",
"Tolerance 0.0002 reached in 584 iterations\n",
"CPU times: user 1min 29s, sys: 3.4 s, total: 1min 33s\n",
"Wall time: 5.84 s\n"
]
}
],
"source": [
"model = fastPLNPCA()\n",
"%time model.fit(Y_sampled, O, covariates, q, good_init = True)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "18b503de",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:>"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n_a = 100\n",
"n_b = 200\n",
"sns.heatmap(model.get_Sigma().detach()[n_a:n_b, n_a:n_b])"
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "8e8af640",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:>"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(true_Sigma[n_a:n_b, n_a:n_b])"
]
},
{
"cell_type": "code",
"execution_count": 140,
"id": "de32a3f9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:>"
]
},
"execution_count": 140,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n_a = 0\n",
"n_b = 200\n",
"sns.heatmap(fast.Sigma.detach()[n_a:n_b, n_a:n_b])"
]
},
{
"cell_type": "code",
"execution_count": 141,
"id": "cb3023a2",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:>"
]
},
"execution_count": 141,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(true_Sigma[n_a:n_b, n_a:n_b])"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "760077da",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intialization ...\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
" 0%| | 0/200 [00:00<?, ?it/s]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Initalization done\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 20%|█▉ | 39/200 [02:55<12:04, 4.50s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Algorithm stopped after 39 iterations\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n"
]
}
],
"source": [
"imps = IMPS_PLN()\n",
"imps.fit(Y_sampled,O,covariates, acc = 0.005, q = q, batch_size = 50)"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "48be935d",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"No handles with labels found to put in legend.\n",
"No handles with labels found to put in legend.\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"max likelihood : -170.8840885009967\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x576 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"imps.show()"
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "c7f5ae7b",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tensor(0.0102)\n",
"tensor(0.0049)\n"
]
}
],
"source": [
"print(MSE(imps.get_Sigma()-true_Sigma))\n",
"print(MSE(imps.beta-true_beta))\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "11dc517a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 50,