{ "cells": [ { "cell_type": "markdown", "id": "158a4335", "metadata": {}, "source": [ "# 02 · Analytic Pearson residuals\n", "\n", "Mirrors the [rapids-singlecell Pearson-residuals tutorial](https://rapids-singlecell.readthedocs.io/en/latest/notebooks/02_pearson_residuals.html). Pearson residuals (Lause et al. 2021) are an alternative to log-normalization that models counts with a regularized negative binomial; the residuals feed directly into PCA. All on the Metal GPU via **metal-SingleCell**." ] }, { "cell_type": "code", "execution_count": 1, "id": "542abf74", "metadata": { "execution": { "iopub.execute_input": "2026-06-23T18:23:31.016353Z", "iopub.status.busy": "2026-06-23T18:23:31.016265Z", "iopub.status.idle": "2026-06-23T18:23:32.112832Z", "shell.execute_reply": "2026-06-23T18:23:32.112309Z" } }, "outputs": [], "source": [ "import warnings; warnings.filterwarnings('ignore')\n", "import numpy as np, scanpy as sc\n", "import metalsinglecell as msc" ] }, { "cell_type": "markdown", "id": "d9bc677c", "metadata": {}, "source": [ "## Load and QC" ] }, { "cell_type": "code", "execution_count": 2, "id": "c6cab194", "metadata": { "execution": { "iopub.execute_input": "2026-06-23T18:23:32.114301Z", "iopub.status.busy": "2026-06-23T18:23:32.114124Z", "iopub.status.idle": "2026-06-23T18:23:32.468260Z", "shell.execute_reply": "2026-06-23T18:23:32.467808Z" } }, "outputs": [ { "data": { "text/plain": [ "(2698, 13714)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "adata = sc.datasets.pbmc3k(); adata.var_names_make_unique()\n", "adata.var['mt'] = adata.var_names.str.startswith('MT-')\n", "sc.pp.calculate_qc_metrics(adata, qc_vars=['mt'], inplace=True)\n", "msc.pp.filter_cells(adata, min_genes=200)\n", "msc.pp.filter_genes(adata, min_cells=3)\n", "adata = adata[adata.obs.pct_counts_mt < 20].copy()\n", "adata.layers['counts'] = adata.X.copy()\n", "adata.shape" ] }, { "cell_type": "markdown", "id": "b3df85a9", "metadata": {}, "source": [ "## Highly variable genes from raw counts\n", "The rapids tutorial uses `flavor='pearson_residuals'`; metal-SingleCell currently offers `seurat_v3` (the closest count-based selector), which also operates directly on the counts layer." ] }, { "cell_type": "code", "execution_count": 3, "id": "fc684bb0", "metadata": { "execution": { "iopub.execute_input": "2026-06-23T18:23:32.469684Z", "iopub.status.busy": "2026-06-23T18:23:32.469570Z", "iopub.status.idle": "2026-06-23T18:23:32.504414Z", "shell.execute_reply": "2026-06-23T18:23:32.503984Z" } }, "outputs": [ { "data": { "text/plain": [ "(2698, 2000)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "msc.pp.highly_variable_genes(adata, n_top_genes=2000, flavor='seurat_v3', layer='counts')\n", "adata = adata[:, adata.var.highly_variable].copy()\n", "adata.X = adata.layers['counts'].copy() # residuals are computed from raw counts\n", "adata.shape" ] }, { "cell_type": "markdown", "id": "b4707e2a", "metadata": {}, "source": [ "## Pearson residuals → PCA\n", "`normalize_pearson_residuals` writes the residuals into `adata.X`; PCA then runs on them." ] }, { "cell_type": "code", "execution_count": 4, "id": "b1e6b463", "metadata": { "execution": { "iopub.execute_input": "2026-06-23T18:23:32.505655Z", "iopub.status.busy": "2026-06-23T18:23:32.505564Z", "iopub.status.idle": "2026-06-23T18:23:32.592975Z", "shell.execute_reply": "2026-06-23T18:23:32.592542Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "msc.pp.normalize_pearson_residuals(adata, theta=100.0)\n", "msc.pp.pca(adata, n_comps=50, use_highly_variable=False)\n", "sc.pl.pca_variance_ratio(adata, log=True, n_pcs=50)" ] }, { "cell_type": "markdown", "id": "04e9d89f", "metadata": {}, "source": [ "## Neighbors, UMAP, Leiden on the residual PCA" ] }, { "cell_type": "code", "execution_count": 5, "id": "ff94c50b", "metadata": { "execution": { "iopub.execute_input": "2026-06-23T18:23:32.594350Z", "iopub.status.busy": "2026-06-23T18:23:32.594279Z", "iopub.status.idle": "2026-06-23T18:23:35.669647Z", "shell.execute_reply": "2026-06-23T18:23:35.669205Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "msc.pp.neighbors(adata, n_neighbors=15)\n", "msc.tl.umap(adata)\n", "msc.tl.leiden(adata, resolution=1.0, backend='gpu')\n", "sc.pl.umap(adata, color=['leiden'], legend_loc='on data')" ] }, { "cell_type": "markdown", "id": "c95d92d4", "metadata": {}, "source": [ "Pearson-residual normalization (no log1p, no scaling) produces a clustered embedding directly from counts — useful when sequencing depth varies strongly across cells." ] } ], "metadata": { "kernelspec": { "display_name": "metalsinglecell", "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": "3.11.15" } }, "nbformat": 4, "nbformat_minor": 5 }