{ "cells": [ { "cell_type": "markdown", "id": "6af79abe-040b-4a5a-90a1-29515c5acc29", "metadata": {}, "source": [ "# Spatial multi-omics Clustering Demonstration of five simulated data \n", "+ In this Tutorial, we demonstrate how to use 3d-OT to obtain the clustering results of five multi-omics simulated data.\n", "+ Five simulated data consisting of two omics that together contained the information of the ground truth. \n", "+ The omics were designed to simulate the transcriptome, and proteome respectively." ] }, { "cell_type": "markdown", "id": "5df7e5ed-4a7e-464a-985e-472756a1fbae", "metadata": {}, "source": [ "## Loading package" ] }, { "cell_type": "code", "execution_count": 1, "id": "5d1bbab7-567b-4043-a1db-3d876110a0de", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "During startup - Warning messages:\n", "1: package ‘methods’ was built under R version 4.3.2 \n", "2: package ‘datasets’ was built under R version 4.3.2 \n", "3: package ‘utils’ was built under R version 4.3.2 \n", "4: package ‘grDevices’ was built under R version 4.3.2 \n", "5: package ‘graphics’ was built under R version 4.3.2 \n", "6: package ‘stats’ was built under R version 4.3.2 \n", "R[write to console]: __ __ \n", " ____ ___ _____/ /_ _______/ /_\n", " / __ `__ \\/ ___/ / / / / ___/ __/\n", " / / / / / / /__/ / /_/ (__ ) /_ \n", "/_/ /_/ /_/\\___/_/\\__,_/____/\\__/ version 6.1.1\n", "Type 'citation(\"mclust\")' for citing this R package in publications.\n", "\n" ] } ], "source": [ "from lib_3d_OT.utils import *\n", "import scanpy as sc\n", "import numpy as np\n", "import pandas as pd\n", "import torch\n", "from lib_3d_OT.multi_modialty import *\n", "import torch.optim as optim\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "code", "execution_count": null, "id": "c9bdb680-900d-4990-afe5-23a98553c295", "metadata": {}, "outputs": [], "source": [ "device = torch.device(\"cuda:1\" if torch.cuda.is_available() else \"cpu\")" ] }, { "cell_type": "markdown", "id": "84b75650-d283-4379-a870-df6b56bf265a", "metadata": {}, "source": [ "## Loading Simulation data1" ] }, { "cell_type": "code", "execution_count": 3, "id": "36868d13-b59d-4eed-828a-c8418ed9d248", "metadata": {}, "outputs": [], "source": [ "file_fold1 = '/home/dbj/mouse/spatialglue_alldata/Dataset13_Simulation1/' #please replace 'file_fold' with the download path\n", "\n", "adata_omics1 = sc.read_h5ad(file_fold1 + 'adata_RNA.h5ad')\n", "adata_omics2 = sc.read_h5ad(file_fold1 + 'adata_ADT.h5ad')\n", "adata_omics1.var_names_make_unique()\n", "adata_omics2.var_names_make_unique()" ] }, { "cell_type": "code", "execution_count": 4, "id": "93a0b819-bac9-48d5-9a3f-3c9d58869a92", "metadata": {}, "outputs": [], "source": [ "adata_omics1.obs['ground_truth'] = 1*np.array(adata_omics1.obsm['spfac'][:,0] + 2*adata_omics1.obsm['spfac'][:,1] + 3*adata_omics1.obsm['spfac'][:,2] + 4*adata_omics1.obsm['spfac'][:,3])\n", "adata_omics1.obs['truth'] = adata_omics1.obs['ground_truth']\n", "adata_omics1.obs['truth'].replace({1.0:'factor1',\n", " 2.0:'factor2',\n", " 3.0:'factor3',\n", " 4.0:'factor4',\n", " 0.0:'backgr' #'backgr' means background.\n", " }, inplace=True)\n", "\n", "list_ = ['factor1','factor2','factor3','factor4','backgr']\n", "adata_omics1.obs['truth'] = pd.Categorical(adata_omics1.obs['truth'], \n", " categories=list_,\n", " ordered=True)\n", "adata_omics2.obs['truth']=adata_omics1.obs['truth']" ] }, { "cell_type": "markdown", "id": "208486a7-f750-4e24-b569-efe0dfaf5661", "metadata": {}, "source": [ "### 3d-OT adopts standard pre-processing steps for the transcriptomic, and protein data. \n", "+ Specifically, for the transcriptomics data, the gene expression counts are log-transformed and normalized by library size via the SCANPY package. The top 3,000 highly variable genes (HVGs) are selected as input of PCA for dimension reduction.\n", "+ The protein expresssion counts are normliazed using CLR (Centered Log Ratio). " ] }, { "cell_type": "code", "execution_count": 5, "id": "93ed1717-ce54-420f-9ad3-0aec14fa240c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: adata.X seems to be already log-transformed.\n" ] } ], "source": [ "n_protein = adata_omics2.n_vars\n", "\n", "sc.pp.highly_variable_genes(adata_omics1, flavor=\"seurat_v3\", n_top_genes=3000)\n", "sc.pp.normalize_total(adata_omics1, target_sum=1e4)\n", "sc.pp.log1p(adata_omics1)\n", "\n", "adata_omics1_high = adata_omics1[:, adata_omics1.var['highly_variable']]\n", "adata_omics1.obsm['feat'] = pca(adata_omics1_high, n_comps=n_protein)\n", "\n", "# Protein\n", "adata_omics2 = clr_normalize_each_cell(adata_omics2)\n", "adata_omics2.obsm['feat'] = pca(adata_omics2, n_comps=n_protein)" ] }, { "cell_type": "markdown", "id": "c70f4bf3-f6da-49bb-a84d-c43ced0b983d", "metadata": {}, "source": [ "### The ground truth of simulated data" ] }, { "cell_type": "code", "execution_count": 8, "id": "3a16c891-73c1-4ca0-a27b-444b213e82c2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import copy\n", "plt.rcParams['figure.figsize'] = (4,4)\n", "plt.rcParams['font.size'] = 20\n", "\n", "fig, ax = plt.subplots()\n", "sc.pl.embedding(adata_omics1,basis='spatial',color='truth',size=150,ax=ax)" ] }, { "cell_type": "markdown", "id": "19a5f7f0-544c-4b47-bcff-0f691010cfa2", "metadata": {}, "source": [ "### Constructing the neighbor graph and training the PointNet++ Encoder" ] }, { "cell_type": "code", "execution_count": 12, "id": "9fca41f1-14a7-42bf-a700-8644a95af85a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 600/600, Loss: 4.4015, Loss1: 4.1048, Loss2: 0.2966\r" ] } ], "source": [ "set_seed(7)\n", "graph1 = prepare_data(adata_omics1, location=\"spatial\", nb_neighbors=16).to(device)\n", "graph2 = prepare_data(adata_omics2, location=\"spatial\", nb_neighbors=16).to(device)\n", "input_dim = graph1.express.shape[-1]\n", "hidden_dim=32\n", "model = extractModel(input_dim,hidden_dim,n_heads=4, n_layers=3)\n", "model = model.to(device)\n", "optimizer = optim.Adam(model.parameters(), lr=0.001)\n", "start_time = time.time()\n", "best_model = train_graph_extractor(graph1,graph2, model ,optimizer, device,epochs=600)" ] }, { "cell_type": "markdown", "id": "becd32d1-f7ee-4c46-9b12-aa15a69478e6", "metadata": {}, "source": [ "### Get multi-omics integrated representation `mixed_modal_features`" ] }, { "cell_type": "code", "execution_count": 13, "id": "806cad54-b5e3-4217-b7fd-44250e6becb0", "metadata": {}, "outputs": [], "source": [ "with torch.no_grad(): \n", " MODEL=extractModel(input_dim=input_dim,hidden_dim=hidden_dim)\n", " MODEL.to(device)\n", " MODEL.load_state_dict(best_model)\n", " MODEL.eval()\n", " recon1, recon2,mixed_modal_features = MODEL(graph1, graph2)\n", " mixed_modal_features = mixed_modal_features.squeeze(0) \n", " gene_expression_matrix = mixed_modal_features.cpu().detach().numpy()\n", "adata_omics1.obsm['3d-OT']=gene_expression_matrix" ] }, { "cell_type": "markdown", "id": "a18b6fb9-a0aa-43c1-87e3-c4c9366e7170", "metadata": {}, "source": [ "### We use mclust for clustering" ] }, { "cell_type": "code", "execution_count": 15, "id": "fb4353b9-2d4f-486d-a82e-89b502d8eed6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using 3d-OT representation for clustering...\n", "fitting ...\n", " |======================================================================| 100%\n" ] } ], "source": [ "clustering(adata_omics1, n_clusters=5,key='3d-OT', method='mclust',random=2024,n_comp=20)" ] }, { "cell_type": "markdown", "id": "5be14412-ae38-47b6-b8fb-0188b8a98212", "metadata": {}, "source": [ "### The Simulation 1 data clustering results" ] }, { "cell_type": "code", "execution_count": 16, "id": "f0098c9f-82d8-45d1-a492-f0ce2e57a4a8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import copy\n", "plt.rcParams['figure.figsize'] = (4,4)\n", "plt.rcParams['font.size'] = 20\n", "\n", "fig, ax = plt.subplots()\n", "sc.pl.embedding(adata_omics1,basis='spatial',color='3d-OT',size=150,ax=ax)" ] }, { "cell_type": "markdown", "id": "357e8f88-7e65-4cf6-9037-eba8933583f5", "metadata": {}, "source": [ "### Calculation of six evaluation indicators" ] }, { "cell_type": "code", "execution_count": 17, "id": "c35c89f9-952b-48c6-bd64-39414d54f6a9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Homogeneity: 0.9865381411532754\n", "Mutual Information: 1.5265947069620323\n", "V-Measure: 0.9867838115364901\n", "AMI: 0.9867305499284305\n", "NMI: 0.9867838115364901\n", "ARI: 0.991938023457151\n" ] } ], "source": [ "import numpy as np\n", "from sklearn.metrics import (homogeneity_score,mutual_info_score,v_measure_score,adjusted_mutual_info_score,normalized_mutual_info_score,adjusted_rand_score\n", ")\n", "\n", "true_labels = np.array(adata_omics1.obs['truth'])\n", "cluster_labels = np.array(adata_omics1.obs['3d-OT'])\n", "\n", "homogeneity = homogeneity_score(true_labels, cluster_labels)\n", "mutual_info = mutual_info_score(true_labels, cluster_labels)\n", "v_measure = v_measure_score(true_labels, cluster_labels)\n", "ami = adjusted_mutual_info_score(true_labels, cluster_labels)\n", "nmi = normalized_mutual_info_score(true_labels, cluster_labels)\n", "ari = adjusted_rand_score(true_labels, cluster_labels)\n", "\n", "print(\"Homogeneity:\", homogeneity)\n", "print(\"Mutual Information:\", mutual_info)\n", "print(\"V-Measure:\", v_measure)\n", "print(\"AMI:\", ami)\n", "print(\"NMI:\", nmi)\n", "print(\"ARI:\", ari)" ] }, { "cell_type": "markdown", "id": "2293adf2-76f2-4819-b823-b82415b6f7f5", "metadata": {}, "source": [ "## Simulation Data 2" ] }, { "cell_type": "code", "execution_count": 18, "id": "72787a34-bb44-4305-ac16-43c17cb6b0a5", "metadata": {}, "outputs": [], "source": [ "file_fold1 = '/home/dbj/mouse/spatialglue_alldata/Dataset14_Simulation2/' #please replace 'file_fold' with the download path\n", "\n", "adata_omics1 = sc.read_h5ad(file_fold1 + 'adata_RNA.h5ad')\n", "adata_omics2 = sc.read_h5ad(file_fold1 + 'adata_ADT.h5ad')\n", "adata_omics1.var_names_make_unique()\n", "adata_omics2.var_names_make_unique()\n", "adata_omics1.obs['ground_truth'] = 1*np.array(adata_omics1.obsm['spfac'][:,0] + 2*adata_omics1.obsm['spfac'][:,1] + 3*adata_omics1.obsm['spfac'][:,2] + 4*adata_omics1.obsm['spfac'][:,3])\n", "adata_omics1.obs['truth'] = adata_omics1.obs['ground_truth']\n", "adata_omics1.obs['truth'].replace({1.0:'factor1',\n", " 2.0:'factor2',\n", " 3.0:'factor3',\n", " 4.0:'factor4',\n", " 0.0:'backgr' #'backgr' means background.\n", " }, inplace=True)\n", "\n", "list_ = ['factor1','factor2','factor3','factor4','backgr']\n", "adata_omics1.obs['truth'] = pd.Categorical(adata_omics1.obs['truth'], \n", " categories=list_,\n", " ordered=True)\n", "adata_omics2.obs['truth']=adata_omics1.obs['truth']" ] }, { "cell_type": "code", "execution_count": 20, "id": "47c59fb3-1227-451d-9b64-825c0272d3e4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: adata.X seems to be already log-transformed.\n" ] } ], "source": [ "n_protein = adata_omics2.n_vars\n", "sc.pp.highly_variable_genes(adata_omics1, flavor=\"seurat_v3\", n_top_genes=3000)\n", "sc.pp.normalize_total(adata_omics1, target_sum=1e4)\n", "sc.pp.log1p(adata_omics1)\n", "adata_omics1_high = adata_omics1[:, adata_omics1.var['highly_variable']]\n", "adata_omics1.obsm['feat'] = pca(adata_omics1_high, n_comps=n_protein)\n", "\n", "# Protein\n", "adata_omics2 = clr_normalize_each_cell(adata_omics2)\n", "adata_omics2.obsm['feat'] = pca(adata_omics2, n_comps=n_protein)" ] }, { "cell_type": "code", "execution_count": 21, "id": "ca867362-400b-4231-8963-11956848c377", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 600/600, Loss: 4.4680, Loss1: 4.1811, Loss2: 0.2869\r" ] } ], "source": [ "set_seed(7)\n", "graph1 = prepare_data(adata_omics1, location=\"spatial\", nb_neighbors=16).to(device)\n", "graph2 = prepare_data(adata_omics2, location=\"spatial\", nb_neighbors=16).to(device)\n", "input_dim = graph1.express.shape[-1]\n", "hidden_dim=32\n", "model = extractModel(input_dim,hidden_dim,n_heads=4, n_layers=3)\n", "model = model.to(device)\n", "optimizer = optim.Adam(model.parameters(), lr=0.001)\n", "start_time = time.time()\n", "best_model = train_graph_extractor(graph1,graph2, model ,optimizer, device,epochs=600)" ] }, { "cell_type": "code", "execution_count": 22, "id": "00c9e502-8886-40ee-a710-fc1347206138", "metadata": {}, "outputs": [], "source": [ "with torch.no_grad(): \n", " MODEL=extractModel(input_dim=input_dim,hidden_dim=hidden_dim)\n", " MODEL.to(device)\n", " MODEL.load_state_dict(best_model)\n", " MODEL.eval()\n", " recon1, recon2,mixed_modal_features = MODEL(graph1, graph2)\n", " mixed_modal_features = mixed_modal_features.squeeze(0) \n", " gene_expression_matrix = mixed_modal_features.cpu().detach().numpy()\n", "adata_omics1.obsm['3d-OT']=gene_expression_matrix" ] }, { "cell_type": "code", "execution_count": 23, "id": "996bb267-8dca-4024-a90d-00b7b18d33cc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using 3d-OT representation for clustering...\n", "fitting ...\n", " |======================================================================| 100%\n" ] } ], "source": [ "clustering(adata_omics1, n_clusters=5,key='3d-OT', method='mclust',random=2024,n_comp=20)" ] }, { "cell_type": "code", "execution_count": 24, "id": "fcbb3d55-f738-440c-bb4f-b308e5ad9d1f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import copy\n", "plt.rcParams['figure.figsize'] = (4,4)\n", "plt.rcParams['font.size'] = 20\n", "\n", "fig, ax = plt.subplots()\n", "sc.pl.embedding(adata_omics1,basis='spatial',color='3d-OT',size=150,ax=ax)" ] }, { "cell_type": "code", "execution_count": 25, "id": "cf756cc5-19a0-44a8-8bee-bf2ee1cadf3d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Homogeneity: 0.9902103899455713\n", "Mutual Information: 1.532277239988493\n", "V-Measure: 0.9900401528982221\n", "AMI: 0.9900000318982815\n", "NMI: 0.9900401528982222\n", "ARI: 0.9936498748034039\n" ] } ], "source": [ "import numpy as np\n", "from sklearn.metrics import (homogeneity_score,mutual_info_score,v_measure_score,adjusted_mutual_info_score,normalized_mutual_info_score,adjusted_rand_score\n", ")\n", "\n", "true_labels = np.array(adata_omics1.obs['truth'])\n", "cluster_labels = np.array(adata_omics1.obs['3d-OT'])\n", "\n", "homogeneity = homogeneity_score(true_labels, cluster_labels)\n", "mutual_info = mutual_info_score(true_labels, cluster_labels)\n", "v_measure = v_measure_score(true_labels, cluster_labels)\n", "ami = adjusted_mutual_info_score(true_labels, cluster_labels)\n", "nmi = normalized_mutual_info_score(true_labels, cluster_labels)\n", "ari = adjusted_rand_score(true_labels, cluster_labels)\n", "\n", "print(\"Homogeneity:\", homogeneity)\n", "print(\"Mutual Information:\", mutual_info)\n", "print(\"V-Measure:\", v_measure)\n", "print(\"AMI:\", ami)\n", "print(\"NMI:\", nmi)\n", "print(\"ARI:\", ari)" ] }, { "cell_type": "markdown", "id": "5d91ffed-0c08-4584-b1ef-a10f42f138b8", "metadata": {}, "source": [ "## Simulation Data 3" ] }, { "cell_type": "code", "execution_count": 26, "id": "3a1ae703-a973-4547-afef-5f7b86849570", "metadata": {}, "outputs": [], "source": [ "file_fold1 = '/home/dbj/mouse/spatialglue_alldata/Dataset15_Simulation3/' #please replace 'file_fold' with the download path\n", "\n", "adata_omics1 = sc.read_h5ad(file_fold1 + 'adata_RNA.h5ad')\n", "adata_omics2 = sc.read_h5ad(file_fold1 + 'adata_ADT.h5ad')\n", "adata_omics1.var_names_make_unique()\n", "adata_omics2.var_names_make_unique()\n", "adata_omics1.obs['ground_truth'] = 1*np.array(adata_omics1.obsm['spfac'][:,0] + 2*adata_omics1.obsm['spfac'][:,1] + 3*adata_omics1.obsm['spfac'][:,2] + 4*adata_omics1.obsm['spfac'][:,3])\n", "adata_omics1.obs['truth'] = adata_omics1.obs['ground_truth']\n", "adata_omics1.obs['truth'].replace({1.0:'factor1',\n", " 2.0:'factor2',\n", " 3.0:'factor3',\n", " 4.0:'factor4',\n", " 0.0:'backgr' #'backgr' means background.\n", " }, inplace=True)\n", "\n", "list_ = ['factor1','factor2','factor3','factor4','backgr']\n", "adata_omics1.obs['truth'] = pd.Categorical(adata_omics1.obs['truth'], \n", " categories=list_,\n", " ordered=True)\n", "adata_omics2.obs['truth']=adata_omics1.obs['truth']" ] }, { "cell_type": "code", "execution_count": 27, "id": "267ab59d-e8b6-471d-9732-435fd6c4cf49", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: adata.X seems to be already log-transformed.\n" ] } ], "source": [ "n_protein = adata_omics2.n_vars\n", "sc.pp.highly_variable_genes(adata_omics1, flavor=\"seurat_v3\", n_top_genes=3000)\n", "sc.pp.normalize_total(adata_omics1, target_sum=1e4)\n", "sc.pp.log1p(adata_omics1)\n", "adata_omics1_high = adata_omics1[:, adata_omics1.var['highly_variable']]\n", "adata_omics1.obsm['feat'] = pca(adata_omics1_high, n_comps=n_protein)\n", "\n", "# Protein\n", "adata_omics2 = clr_normalize_each_cell(adata_omics2)\n", "adata_omics2.obsm['feat'] = pca(adata_omics2, n_comps=n_protein)" ] }, { "cell_type": "code", "execution_count": 28, "id": "9addeef3-fa9b-4d70-a73a-0a5ba51917d6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 600/600, Loss: 4.6400, Loss1: 4.3630, Loss2: 0.2770\r" ] } ], "source": [ "set_seed(7)\n", "graph1 = prepare_data(adata_omics1, location=\"spatial\", nb_neighbors=16).to(device)\n", "graph2 = prepare_data(adata_omics2, location=\"spatial\", nb_neighbors=16).to(device)\n", "input_dim = graph1.express.shape[-1]\n", "hidden_dim=32\n", "model = extractModel(input_dim,hidden_dim,n_heads=4, n_layers=3)\n", "model = model.to(device)\n", "optimizer = optim.Adam(model.parameters(), lr=0.001)\n", "start_time = time.time()\n", "best_model = train_graph_extractor(graph1,graph2, model ,optimizer, device,epochs=600)" ] }, { "cell_type": "code", "execution_count": 29, "id": "81081d87-8ee1-4269-8d40-ab55e9367a06", "metadata": {}, "outputs": [], "source": [ "with torch.no_grad(): \n", " MODEL=extractModel(input_dim=input_dim,hidden_dim=hidden_dim)\n", " MODEL.to(device)\n", " MODEL.load_state_dict(best_model)\n", " MODEL.eval()\n", " recon1, recon2,mixed_modal_features = MODEL(graph1, graph2)\n", " mixed_modal_features = mixed_modal_features.squeeze(0) \n", " gene_expression_matrix = mixed_modal_features.cpu().detach().numpy()\n", "adata_omics1.obsm['3d-OT']=gene_expression_matrix" ] }, { "cell_type": "code", "execution_count": 30, "id": "f6c1f514-5ba7-43f3-a44e-c5f3b1b8af9e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using 3d-OT representation for clustering...\n", "fitting ...\n", " |======================================================================| 100%\n" ] } ], "source": [ "clustering(adata_omics1, n_clusters=5,key='3d-OT', method='mclust',random=2024,n_comp=20)" ] }, { "cell_type": "code", "execution_count": 31, "id": "133bb832-53f3-4346-b3b1-0b850e5cbf7a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import copy\n", "plt.rcParams['figure.figsize'] = (4,4)\n", "plt.rcParams['font.size'] = 20\n", "\n", "fig, ax = plt.subplots()\n", "sc.pl.embedding(adata_omics1,basis='spatial',color='3d-OT',size=150,ax=ax)" ] }, { "cell_type": "code", "execution_count": 32, "id": "2725a87e-9a05-482f-b323-2ee4a246614a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Homogeneity: 0.9855043077852927\n", "Mutual Information: 1.524994926394402\n", "V-Measure: 0.984865368285187\n", "AMI: 0.9848044320856825\n", "NMI: 0.9848653682851871\n", "ARI: 0.9896354033132985\n" ] } ], "source": [ "import numpy as np\n", "from sklearn.metrics import (homogeneity_score,mutual_info_score,v_measure_score,adjusted_mutual_info_score,normalized_mutual_info_score,adjusted_rand_score\n", ")\n", "\n", "true_labels = np.array(adata_omics1.obs['truth'])\n", "cluster_labels = np.array(adata_omics1.obs['3d-OT'])\n", "\n", "homogeneity = homogeneity_score(true_labels, cluster_labels)\n", "mutual_info = mutual_info_score(true_labels, cluster_labels)\n", "v_measure = v_measure_score(true_labels, cluster_labels)\n", "ami = adjusted_mutual_info_score(true_labels, cluster_labels)\n", "nmi = normalized_mutual_info_score(true_labels, cluster_labels)\n", "ari = adjusted_rand_score(true_labels, cluster_labels)\n", "\n", "print(\"Homogeneity:\", homogeneity)\n", "print(\"Mutual Information:\", mutual_info)\n", "print(\"V-Measure:\", v_measure)\n", "print(\"AMI:\", ami)\n", "print(\"NMI:\", nmi)\n", "print(\"ARI:\", ari)" ] }, { "cell_type": "markdown", "id": "011cd361-d2d1-4ddd-b22d-7aa709cebde9", "metadata": {}, "source": [ "## Simulation Data 4" ] }, { "cell_type": "code", "execution_count": 33, "id": "3d24a14e-0735-43a7-9044-8b8527dbcfdf", "metadata": {}, "outputs": [], "source": [ "file_fold1 = '/home/dbj/mouse/spatialglue_alldata/Dataset16_Simulation4/' #please replace 'file_fold' with the download path\n", "\n", "adata_omics1 = sc.read_h5ad(file_fold1 + 'adata_RNA.h5ad')\n", "adata_omics2 = sc.read_h5ad(file_fold1 + 'adata_ADT.h5ad')\n", "adata_omics1.var_names_make_unique()\n", "adata_omics2.var_names_make_unique()\n", "adata_omics1.obs['ground_truth'] = 1*np.array(adata_omics1.obsm['spfac'][:,0] + 2*adata_omics1.obsm['spfac'][:,1] + 3*adata_omics1.obsm['spfac'][:,2] + 4*adata_omics1.obsm['spfac'][:,3])\n", "adata_omics1.obs['truth'] = adata_omics1.obs['ground_truth']\n", "adata_omics1.obs['truth'].replace({1.0:'factor1',\n", " 2.0:'factor2',\n", " 3.0:'factor3',\n", " 4.0:'factor4',\n", " 0.0:'backgr' #'backgr' means background.\n", " }, inplace=True)\n", "\n", "list_ = ['factor1','factor2','factor3','factor4','backgr']\n", "adata_omics1.obs['truth'] = pd.Categorical(adata_omics1.obs['truth'], \n", " categories=list_,\n", " ordered=True)\n", "adata_omics2.obs['truth']=adata_omics1.obs['truth']" ] }, { "cell_type": "code", "execution_count": 34, "id": "ae528b6c-4e68-4d4a-a229-3efbde0e5341", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: adata.X seems to be already log-transformed.\n" ] } ], "source": [ "n_protein = adata_omics2.n_vars\n", "sc.pp.highly_variable_genes(adata_omics1, flavor=\"seurat_v3\", n_top_genes=3000)\n", "sc.pp.normalize_total(adata_omics1, target_sum=1e4)\n", "sc.pp.log1p(adata_omics1)\n", "adata_omics1_high = adata_omics1[:, adata_omics1.var['highly_variable']]\n", "adata_omics1.obsm['feat'] = pca(adata_omics1_high, n_comps=n_protein)\n", "\n", "# Protein\n", "adata_omics2 = clr_normalize_each_cell(adata_omics2)\n", "adata_omics2.obsm['feat'] = pca(adata_omics2, n_comps=n_protein)" ] }, { "cell_type": "code", "execution_count": 35, "id": "1738b53c-1a98-461a-ae9a-958155d1254b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 600/600, Loss: 4.5746, Loss1: 4.3190, Loss2: 0.2556\r" ] } ], "source": [ "set_seed(7)\n", "graph1 = prepare_data(adata_omics1, location=\"spatial\", nb_neighbors=16).to(device)\n", "graph2 = prepare_data(adata_omics2, location=\"spatial\", nb_neighbors=16).to(device)\n", "input_dim = graph1.express.shape[-1]\n", "hidden_dim=32\n", "model = extractModel(input_dim,hidden_dim,n_heads=4, n_layers=3)\n", "model = model.to(device)\n", "optimizer = optim.Adam(model.parameters(), lr=0.001)\n", "start_time = time.time()\n", "best_model = train_graph_extractor(graph1,graph2, model ,optimizer, device,epochs=600)" ] }, { "cell_type": "code", "execution_count": 36, "id": "bee59cca-8bb3-4c2e-ad1b-a0de62289e7a", "metadata": {}, "outputs": [], "source": [ "with torch.no_grad(): \n", " MODEL=extractModel(input_dim=input_dim,hidden_dim=hidden_dim)\n", " MODEL.to(device)\n", " MODEL.load_state_dict(best_model)\n", " MODEL.eval()\n", " recon1, recon2,mixed_modal_features = MODEL(graph1, graph2)\n", " mixed_modal_features = mixed_modal_features.squeeze(0) \n", " gene_expression_matrix = mixed_modal_features.cpu().detach().numpy()\n", "adata_omics1.obsm['3d-OT']=gene_expression_matrix" ] }, { "cell_type": "code", "execution_count": 37, "id": "0fea6d93-571e-42fd-be80-b7728ef4def6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using 3d-OT representation for clustering...\n", "fitting ...\n", " |======================================================================| 100%\n" ] } ], "source": [ "clustering(adata_omics1, n_clusters=5,key='3d-OT', method='mclust',random=2024,n_comp=20)" ] }, { "cell_type": "code", "execution_count": 38, "id": "e6887aed-57ad-4da6-816d-44955caeaebf", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import copy\n", "plt.rcParams['figure.figsize'] = (4,4)\n", "plt.rcParams['font.size'] = 20\n", "\n", "fig, ax = plt.subplots()\n", "sc.pl.embedding(adata_omics1,basis='spatial',color='3d-OT',size=150,ax=ax)" ] }, { "cell_type": "code", "execution_count": 39, "id": "cf4f0710-e9f1-493e-b3ee-2fa53de781aa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Homogeneity: 0.9784479201344716\n", "Mutual Information: 1.5140756891255591\n", "V-Measure: 0.9785418546215845\n", "AMI: 0.9784553911295736\n", "NMI: 0.9785418546215846\n", "ARI: 0.9858705495702517\n" ] } ], "source": [ "import numpy as np\n", "from sklearn.metrics import (homogeneity_score,mutual_info_score,v_measure_score,adjusted_mutual_info_score,normalized_mutual_info_score,adjusted_rand_score\n", ")\n", "\n", "true_labels = np.array(adata_omics1.obs['truth'])\n", "cluster_labels = np.array(adata_omics1.obs['3d-OT'])\n", "\n", "homogeneity = homogeneity_score(true_labels, cluster_labels)\n", "mutual_info = mutual_info_score(true_labels, cluster_labels)\n", "v_measure = v_measure_score(true_labels, cluster_labels)\n", "ami = adjusted_mutual_info_score(true_labels, cluster_labels)\n", "nmi = normalized_mutual_info_score(true_labels, cluster_labels)\n", "ari = adjusted_rand_score(true_labels, cluster_labels)\n", "\n", "print(\"Homogeneity:\", homogeneity)\n", "print(\"Mutual Information:\", mutual_info)\n", "print(\"V-Measure:\", v_measure)\n", "print(\"AMI:\", ami)\n", "print(\"NMI:\", nmi)\n", "print(\"ARI:\", ari)" ] }, { "cell_type": "markdown", "id": "0fdfabf9-c630-4a3f-92a9-fff19a20716e", "metadata": {}, "source": [ "## Simulation Data 5" ] }, { "cell_type": "code", "execution_count": 40, "id": "b6b76968-b15d-4e9e-b1a9-2b384f0146c6", "metadata": {}, "outputs": [], "source": [ "file_fold1 = '/home/dbj/mouse/spatialglue_alldata/Dataset17_Simulation5/' #please replace 'file_fold' with the download path\n", "\n", "adata_omics1 = sc.read_h5ad(file_fold1 + 'adata_RNA.h5ad')\n", "adata_omics2 = sc.read_h5ad(file_fold1 + 'adata_ADT.h5ad')\n", "adata_omics1.var_names_make_unique()\n", "adata_omics2.var_names_make_unique()\n", "adata_omics1.obs['ground_truth'] = 1*np.array(adata_omics1.obsm['spfac'][:,0] + 2*adata_omics1.obsm['spfac'][:,1] + 3*adata_omics1.obsm['spfac'][:,2] + 4*adata_omics1.obsm['spfac'][:,3])\n", "adata_omics1.obs['truth'] = adata_omics1.obs['ground_truth']\n", "adata_omics1.obs['truth'].replace({1.0:'factor1',\n", " 2.0:'factor2',\n", " 3.0:'factor3',\n", " 4.0:'factor4',\n", " 0.0:'backgr' #'backgr' means background.\n", " }, inplace=True)\n", "\n", "list_ = ['factor1','factor2','factor3','factor4','backgr']\n", "adata_omics1.obs['truth'] = pd.Categorical(adata_omics1.obs['truth'], \n", " categories=list_,\n", " ordered=True)\n", "adata_omics2.obs['truth']=adata_omics1.obs['truth']" ] }, { "cell_type": "code", "execution_count": 41, "id": "e6b60437-22da-4a77-82dc-66685ffff17b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: adata.X seems to be already log-transformed.\n" ] } ], "source": [ "n_protein = adata_omics2.n_vars\n", "sc.pp.highly_variable_genes(adata_omics1, flavor=\"seurat_v3\", n_top_genes=3000)\n", "sc.pp.normalize_total(adata_omics1, target_sum=1e4)\n", "sc.pp.log1p(adata_omics1)\n", "adata_omics1_high = adata_omics1[:, adata_omics1.var['highly_variable']]\n", "adata_omics1.obsm['feat'] = pca(adata_omics1_high, n_comps=n_protein)\n", "\n", "# Protein\n", "adata_omics2 = clr_normalize_each_cell(adata_omics2)\n", "adata_omics2.obsm['feat'] = pca(adata_omics2, n_comps=n_protein)" ] }, { "cell_type": "code", "execution_count": 42, "id": "b0db2ef3-f7b3-4208-9949-164b553ba6ba", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 600/600, Loss: 4.4780, Loss1: 4.2473, Loss2: 0.2307\r" ] } ], "source": [ "set_seed(7)\n", "graph1 = prepare_data(adata_omics1, location=\"spatial\", nb_neighbors=16).to(device)\n", "graph2 = prepare_data(adata_omics2, location=\"spatial\", nb_neighbors=16).to(device)\n", "input_dim = graph1.express.shape[-1]\n", "hidden_dim=32\n", "model = extractModel(input_dim,hidden_dim,n_heads=4, n_layers=3)\n", "model = model.to(device)\n", "optimizer = optim.Adam(model.parameters(), lr=0.001)\n", "start_time = time.time()\n", "best_model = train_graph_extractor(graph1,graph2, model ,optimizer, device,epochs=600)" ] }, { "cell_type": "code", "execution_count": 43, "id": "abc9c348-b0bf-4c2a-a242-299fe38d7774", "metadata": {}, "outputs": [], "source": [ "with torch.no_grad(): \n", " MODEL=extractModel(input_dim=input_dim,hidden_dim=hidden_dim)\n", " MODEL.to(device)\n", " MODEL.load_state_dict(best_model)\n", " MODEL.eval()\n", " recon1, recon2,mixed_modal_features = MODEL(graph1, graph2)\n", " mixed_modal_features = mixed_modal_features.squeeze(0) \n", " gene_expression_matrix = mixed_modal_features.cpu().detach().numpy()\n", "adata_omics1.obsm['3d-OT']=gene_expression_matrix" ] }, { "cell_type": "code", "execution_count": 44, "id": "4041178a-6baf-4ffc-ba31-4a13324d6b83", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using 3d-OT representation for clustering...\n", "fitting ...\n", " |======================================================================| 100%\n" ] } ], "source": [ "clustering(adata_omics1, n_clusters=5,key='3d-OT', method='mclust',random=2024,n_comp=20)" ] }, { "cell_type": "code", "execution_count": 45, "id": "6e63aa4a-673d-4fc5-9278-5ab7a8e29b5b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import copy\n", "plt.rcParams['figure.figsize'] = (4,4)\n", "plt.rcParams['font.size'] = 20\n", "\n", "fig, ax = plt.subplots()\n", "sc.pl.embedding(adata_omics1,basis='spatial',color='3d-OT',size=150,ax=ax)" ] }, { "cell_type": "code", "execution_count": 46, "id": "5c26828d-4662-4036-9963-06018af72f68", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Homogeneity: 0.9865837185639651\n", "Mutual Information: 1.5266652346294518\n", "V-Measure: 0.9873642074944294\n", "AMI: 0.9873132563119057\n", "NMI: 0.9873642074944294\n", "ARI: 0.9914416135115142\n" ] } ], "source": [ "import numpy as np\n", "from sklearn.metrics import (homogeneity_score,mutual_info_score,v_measure_score,adjusted_mutual_info_score,normalized_mutual_info_score,adjusted_rand_score\n", ")\n", "\n", "true_labels = np.array(adata_omics1.obs['truth'])\n", "cluster_labels = np.array(adata_omics1.obs['3d-OT'])\n", "\n", "homogeneity = homogeneity_score(true_labels, cluster_labels)\n", "mutual_info = mutual_info_score(true_labels, cluster_labels)\n", "v_measure = v_measure_score(true_labels, cluster_labels)\n", "ami = adjusted_mutual_info_score(true_labels, cluster_labels)\n", "nmi = normalized_mutual_info_score(true_labels, cluster_labels)\n", "ari = adjusted_rand_score(true_labels, cluster_labels)\n", "\n", "print(\"Homogeneity:\", homogeneity)\n", "print(\"Mutual Information:\", mutual_info)\n", "print(\"V-Measure:\", v_measure)\n", "print(\"AMI:\", ami)\n", "print(\"NMI:\", nmi)\n", "print(\"ARI:\", ari)" ] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:py310]", "language": "python", "name": "conda-env-py310-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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 5 }