GeoSketch — density-aware sketching as a metacell baseline#
Hie et al. Geometric sketching compactly summarizes the single-cell transcriptomic landscape. Cell Systems 8, 483–493 (2019). doi:10.1016/j.cels.2019.05.003
Algorithm. GeoSketch is a density-aware subsampling method — it picks
n_metacells sketch cells that cover the manifold more evenly than uniform
random. We then assign every non-sketch cell to its nearest sketch cell
(cosine) to produce a partition.
Capabilities. out_of_sample (nearest-prototype fallback).
Strengths. Very fast. Preserves rare populations better than uniform random because it actively oversamples low-density regions. For visualisation / clustering / kNN graph construction tasks this can be sufficient.
Weaknesses. Each “metacell” is really just one cell — there’s no aggregation in the strict sense. For DE / pseudobulk applications you still need to do the local-neighbourhood aggregation yourself (or pair it with nearest-prototype sum, as omicverse does).
1. Setup#
# Standard imports + omicverse defaults.
import warnings
warnings.filterwarnings('ignore')
import numpy as np
import pandas as pd
import omicverse as ov
import scvelo as scv # only used for the demo dataset
ov.plot_set()
🔬 Starting plot initialization...
🧬 Detecting GPU devices…
✅ NVIDIA CUDA GPUs detected: 1
• [CUDA 0] NVIDIA H100 80GB HBM3
Memory: 79.1 GB | Compute: 9.0
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/ /_/ / / / / / / / /__ | |/ / __/ / (__ ) __/
\____/_/ /_/ /_/_/\___/ |___/\___/_/ /____/\___/
🔖 Version: 2.2.0 📚 Tutorials: https://omicverse.readthedocs.io/
✅ plot_set complete.
2. Load and preprocess#
# Pancreas scRNA-seq (Bastidas-Ponce et al. 2019). Standard omicverse
# preprocess flow: qc -> preprocess -> scale -> pca -> neighbors -> umap.
adata = scv.datasets.pancreas()
adata = ov.pp.qc(adata,
tresh={'mito_perc': 0.20, 'nUMIs': 500, 'detected_genes': 250},
mt_startswith='mt-')
adata = ov.pp.preprocess(adata, mode='shiftlog|pearson', n_HVGs=2000)
adata.layers['lognorm'] = adata.X.copy() # mcRigor reads this
adata = adata[:, adata.var.highly_variable_features]
ov.pp.scale(adata)
ov.pp.pca(adata, layer='scaled', n_pcs=30)
adata.obsm['X_pca'] = adata.obsm['scaled|original|X_pca']
ov.pp.neighbors(adata, n_neighbors=15, use_rep='X_pca')
ov.pp.umap(adata)
print('adata:', adata.shape, 'celltypes:', sorted(adata.obs['clusters'].unique()))
🖥️ Using CPU mode for QC...
📊 Step 1: Calculating QC Metrics
✓ Gene Family Detection:
┌──────────────────────────────┬────────────────────┬────────────────────┐
│ Gene Family │ Genes Found │ Detection Method │
├──────────────────────────────┼────────────────────┼────────────────────┤
│ Mitochondrial │ 13 │ Auto (MT-) │
├──────────────────────────────┼────────────────────┼────────────────────┤
│ Ribosomal │ 0 ⚠️ │ Auto (RPS/RPL) │
├──────────────────────────────┼────────────────────┼────────────────────┤
│ Hemoglobin │ 0 ⚠️ │ Auto (regex) │
└──────────────────────────────┴────────────────────┴────────────────────┘
✓ QC Metrics Summary:
┌─────────────────────────┬────────────────────┬─────────────────────────┐
│ Metric │ Mean │ Range (Min - Max) │
├─────────────────────────┼────────────────────┼─────────────────────────┤
│ nUMIs │ 6675 │ 3020 - 18524 │
├─────────────────────────┼────────────────────┼─────────────────────────┤
│ Detected Genes │ 2516 │ 1473 - 4492 │
├─────────────────────────┼────────────────────┼─────────────────────────┤
│ Mitochondrial % │ 0.7% │ 0.2% - 4.3% │
├─────────────────────────┼────────────────────┼─────────────────────────┤
│ Ribosomal % │ 0.0% │ 0.0% - 0.0% │
├─────────────────────────┼────────────────────┼─────────────────────────┤
│ Hemoglobin % │ 0.0% │ 0.0% - 0.0% │
└─────────────────────────┴────────────────────┴─────────────────────────┘
📈 Original cell count: 3,696
🔧 Step 2: Quality Filtering (SEURAT)
Thresholds: mito≤0.2, nUMIs≥500, genes≥250
📊 Seurat Filter Results:
• nUMIs filter (≥500): 0 cells failed (0.0%)
• Genes filter (≥250): 0 cells failed (0.0%)
• Mitochondrial filter (≤0.2): 0 cells failed (0.0%)
✓ Filters applied successfully
✓ Combined QC filters: 0 cells removed (0.0%)
🎯 Step 3: Final Filtering
Parameters: min_genes=200, min_cells=3
Ratios: max_genes_ratio=1, max_cells_ratio=1
✓ Final filtering: 0 cells, 12,261 genes removed
🔍 Step 4: Doublet Detection
💡 Running pyscdblfinder (Python port of R scDblFinder)
🔍 Running scdblfinder detection...
[ScDblFinder] wrote scDblFinder_score + scDblFinder_class — threshold=0.387
✓ scDblFinder completed: 66 doublets removed (1.8%)
╭─ SUMMARY: qc ──────────────────────────────────────────────────────╮
│ Duration: 17.7002s │
│ Shape: 3,696 x 27,998 (Unchanged) │
│ │
│ CHANGES DETECTED │
│ ──────────────── │
│ ● OBS │ ✚ cell_complexity (float) │
│ │ ✚ detected_genes (int) │
│ │ ✚ hb_perc (float) │
│ │ ✚ mito_perc (float) │
│ │ ✚ nUMIs (float) │
│ │ ✚ n_counts (float) │
│ │ ✚ n_genes (int) │
│ │ ✚ n_genes_by_counts (int) │
│ │ ✚ passing_mt (bool) │
│ │ ✚ passing_nUMIs (bool) │
│ │ ✚ passing_ngenes (bool) │
│ │ ✚ pct_counts_hb (float) │
│ │ ✚ pct_counts_mt (float) │
│ │ ✚ pct_counts_ribo (float) │
│ │ ✚ ribo_perc (float) │
│ │ ✚ total_counts (float) │
│ │
│ ● VAR │ ✚ hb (bool) │
│ │ ✚ mt (bool) │
│ │ ✚ ribo (bool) │
│ │
╰────────────────────────────────────────────────────────────────────╯
🔍 [2026-05-19 17:25:16] Running preprocessing in 'cpu' mode...
Begin robust gene identification
After filtration, 15737/15737 genes are kept.
Among 15737 genes, 15736 genes are robust.
✅ Robust gene identification completed successfully.
Begin size normalization: shiftlog and HVGs selection pearson
🔍 Count Normalization:
Target sum: 500000.0
Exclude highly expressed: True
Max fraction threshold: 0.2
⚠️ Excluding 1 highly-expressed genes from normalization computation
Excluded genes: ['Ghrl']
✅ Count Normalization Completed Successfully!
✓ Processed: 3,630 cells × 15,736 genes
✓ Runtime: 0.23s
🔍 Highly Variable Genes Selection (Experimental):
Method: pearson_residuals
Target genes: 2,000
Theta (overdispersion): 100
✅ Experimental HVG Selection Completed Successfully!
✓ Selected: 2,000 highly variable genes out of 15,736 total (12.7%)
✓ Results added to AnnData object:
• 'highly_variable': Boolean vector (adata.var)
• 'highly_variable_rank': Float vector (adata.var)
• 'highly_variable_nbatches': Int vector (adata.var)
• 'highly_variable_intersection': Boolean vector (adata.var)
• 'means': Float vector (adata.var)
• 'variances': Float vector (adata.var)
• 'residual_variances': Float vector (adata.var)
Time to analyze data in cpu: 1.45 seconds.
✅ Preprocessing completed successfully.
Added:
'highly_variable_features', boolean vector (adata.var)
'means', float vector (adata.var)
'variances', float vector (adata.var)
'residual_variances', float vector (adata.var)
'counts', raw counts layer (adata.layers)
End of size normalization: shiftlog and HVGs selection pearson
╭─ SUMMARY: preprocess ──────────────────────────────────────────────╮
│ Duration: 1.8266s │
│ Shape: 3,630 x 15,737 -> 3,630 x 15,736 │
│ │
│ CHANGES DETECTED │
│ ──────────────── │
│ ● VAR │ ✚ highly_variable (bool) │
│ │ ✚ highly_variable_features (bool) │
│ │ ✚ highly_variable_rank (float) │
│ │ ✚ means (float) │
│ │ ✚ n_cells (int) │
│ │ ✚ percent_cells (float) │
│ │ ✚ residual_variances (float) │
│ │ ✚ robust (bool) │
│ │ ✚ variances (float) │
│ │
│ ● UNS │ ✚ history_log │
│ │ ✚ hvg │
│ │ ✚ log1p │
│ │
│ ● LAYERS │ ✚ counts (sparse matrix, 3630x15736) │
│ │
╰────────────────────────────────────────────────────────────────────╯
╭─ SUMMARY: scale ───────────────────────────────────────────────────╮
│ Duration: 0.6656s │
│ Shape: 3,630 x 2,000 (Unchanged) │
│ │
│ CHANGES DETECTED │
│ ──────────────── │
│ ● LAYERS │ ✚ scaled (array, 3630x2000) │
│ │
╰────────────────────────────────────────────────────────────────────╯
computing PCA🔍
with n_comps=30
🖥️ Using sklearn PCA for CPU computation
🖥️ sklearn PCA backend: CPU computation
📊 PCA input data type: ArrayView, shape: (3630, 2000), dtype: float64
🔧 PCA solver used: covariance_eigh
finished✅ (1.65s)
╭─ SUMMARY: pca ─────────────────────────────────────────────────────╮
│ Duration: 1.6622s │
│ Shape: 3,630 x 2,000 (Unchanged) │
│ │
│ CHANGES DETECTED │
│ ──────────────── │
│ ● UNS │ ✚ scaled|original|cum_sum_eigenvalues │
│ │ ✚ scaled|original|pca_var_ratios │
│ │
│ ● OBSM │ ✚ scaled|original|X_pca (array, 3630x30) │
│ │
╰────────────────────────────────────────────────────────────────────╯
🖥️ Using Scanpy CPU to calculate neighbors...
🔍 K-Nearest Neighbors Graph Construction:
Mode: cpu
Neighbors: 15
Method: umap
Metric: euclidean
Representation: X_pca
🔍 Computing neighbor distances...
🔍 Computing connectivity matrix...
💡 Using UMAP-style connectivity
✓ Graph is fully connected
✅ KNN Graph Construction Completed Successfully!
✓ Processed: 3,630 cells with 15 neighbors each
✓ Results added to AnnData object:
• 'neighbors': Neighbors metadata (adata.uns)
• 'distances': Distance matrix (adata.obsp)
• 'connectivities': Connectivity matrix (adata.obsp)
╭─ SUMMARY: neighbors ───────────────────────────────────────────────╮
│ Duration: 8.7172s │
│ Shape: 3,630 x 2,000 (Unchanged) │
│ │
│ CHANGES DETECTED │
│ ──────────────── │
╰────────────────────────────────────────────────────────────────────╯
🔍 [2026-05-19 17:25:29] Running UMAP in 'cpu' mode...
🖥️ Using Scanpy CPU UMAP...
🔍 UMAP Dimensionality Reduction:
Mode: cpu
Method: umap
Components: 2
Min distance: 0.5
{'n_neighbors': 15, 'method': 'umap', 'random_state': 0, 'metric': 'euclidean', 'use_rep': 'X_pca'}
🔍 Computing UMAP parameters...
🔍 Computing UMAP embedding (classic method)...
✅ UMAP Dimensionality Reduction Completed Successfully!
✓ Embedding shape: 3,630 cells × 2 dimensions
✓ Results added to AnnData object:
• 'X_umap': UMAP coordinates (adata.obsm)
• 'umap': UMAP parameters (adata.uns)
✅ UMAP completed successfully.
╭─ SUMMARY: umap ────────────────────────────────────────────────────╮
│ Duration: 0.8138s │
│ Shape: 3,630 x 2,000 (Unchanged) │
│ │
│ CHANGES DETECTED │
│ ──────────────── │
│ ● UNS │ ✚ umap │
│ │ └─ params: {'a': 0.5830300199950147, 'b': 1.334166993228519}│
│ │
╰────────────────────────────────────────────────────────────────────╯
adata: (3630, 2000) celltypes: ['Alpha', 'Beta', 'Delta', 'Ductal', 'Epsilon', 'Ngn3 high EP', 'Ngn3 low EP', 'Pre-endocrine']
3. Fit GeoSketch + nearest-prototype assignment#
mc = ov.single.MetaCell(
adata.copy(), method='geosketch', n_metacells=100,
use_rep='X_pca', random_state=0,
).fit()
print(f'fit done: {mc.method}, runtime={mc._fit_result.runtime_s:.2f} s')
fit done: geosketch, runtime=0.25 s
4. AnnData schema after fit#
Every backend writes the same fields into adata — that’s what lets the
downstream helpers below work without branching on the backend.
# Inspect what the fit wrote into adata via the unified schema.
print(f'method : {mc.method}')
print(f'capabilities: {sorted(mc.capabilities)}')
print(f'n_metacells : {np.unique(mc._fit_result.assignments).size}')
print(f'runtime : {mc._fit_result.runtime_s:.3f} s')
print(f'uns : {dict(mc.adata.uns["metacell"])}')
method : geosketch
capabilities: ['out_of_sample']
n_metacells : 100
runtime : 0.246 s
uns : {'method': 'geosketch', 'n_metacells': 100, 'n_iter': 1, 'converged': True, 'runtime_s': 0.24586987495422363, 'random_state': 0, 'capabilities': ['out_of_sample']}
5. Aggregate to a metacell AnnData#
predicted(method='hard', layer='counts', summary='sum') returns a
metacell × gene AnnData with raw count totals preserved — the format that
downstream tools (SCENIC, CellPhoneDB, pseudobulk DE) actually want.
ad_mc = mc.predicted(method='hard', layer='counts', summary='sum',
celltype_label='clusters')
print(f'metacell AnnData: {ad_mc.shape}')
print(f'mean cells/metacell: {ad_mc.obs["n_cells"].mean():.1f}')
ad_mc.obs.head()
metacell AnnData: (100, 2000)
mean cells/metacell: 36.3
| n_cells | clusters | clusters_purity | |
|---|---|---|---|
| mc-0 | 111 | Pre-endocrine | 0.513514 |
| mc-1 | 5 | Ductal | 0.800000 |
| mc-2 | 26 | Ductal | 0.653846 |
| mc-3 | 29 | Ngn3 high EP | 1.000000 |
| mc-4 | 67 | Ductal | 0.985075 |
6. Benchmarking metrics (purity / separation / compactness)#
7. mcRigor: statistical validation#
For each metacell, mcRigor permutes the (cells × genes) submatrix in two
ways and asks: is the observed gene–gene covariance bigger than the null
distribution at this metacell’s size? Metacells whose mcDiv exceeds the
size-stratified threshold are flagged as 'dubious'.
# mcRigor's double-permutation null. dubious_rate = fraction of cells in
# heterogeneous metacells; rigor_score = 1 - 0.5*(dubious_rate + zero_rate).
rep = mc.check_rigor(layer_lognorm='lognorm', n_rep=20,
feature_use=1000, random_state=0)
print(f'rigor_score : {rep.score:.3f}')
print(f'dubious_rate: {rep.dubious_rate:.3f}')
print(f'zero_rate : {rep.zero_rate:.3f}')
print(f'# metacells : {rep.n_metacells}')
rigor_score : 0.461
dubious_rate: 0.786
zero_rate : 0.293
# metacells : 100
7.1 Per-metacell mcDiv vs size#
8. UMAP with metacell centroids#
# UMAP coloured by celltype with metacell centroids overlaid in dark grey.
import matplotlib.pyplot as plt
fig, ax = plt.subplots(figsize=(5, 4))
ov.pl.embedding(mc.adata, basis='X_umap', color='clusters', ax=ax, show=False,
frameon='small', title='GeoSketch (n=100)', size=12)
labels = mc._fit_result.assignments
pts = np.array([mc.adata.obsm['X_umap'][labels == u].mean(axis=0)
for u in np.unique(labels)])
ax.scatter(pts[:, 0], pts[:, 1], s=24, c='#222',
edgecolors='white', linewidths=0.6, zorder=5)
plt.tight_layout(); plt.show()
9. Per-celltype purity boxplot#
10. Metacell-level UMAP#
A common downstream use of metacells is to treat them as a much smaller “atlas” of pseudo-cells and re-run the standard omicverse preprocess → PCA → UMAP loop on them. Cell-type signal should survive.
# Treat the metacell AnnData as a smaller dataset and run the standard
# omicverse preprocess -> pca -> neighbors -> umap loop on it.
ad_mc = ov.pp.preprocess(ad_mc, mode='shiftlog|pearson',
n_HVGs=min(2000, ad_mc.n_vars))
ad_mc = ad_mc[:, ad_mc.var.highly_variable_features]
ov.pp.scale(ad_mc)
ov.pp.pca(ad_mc, layer='scaled', n_pcs=min(30, ad_mc.n_obs - 1))
ad_mc.obsm['X_pca'] = ad_mc.obsm['scaled|original|X_pca']
ov.pp.neighbors(ad_mc, n_neighbors=min(15, ad_mc.n_obs - 1), use_rep='X_pca')
ov.pp.umap(ad_mc)
ov.pl.embedding(ad_mc, basis='X_umap', color='clusters',
frameon='small', title='metacell-level UMAP', size=80)
🔍 [2026-05-19 17:25:51] Running preprocessing in 'cpu' mode...
Begin robust gene identification
After filtration, 2000/2000 genes are kept.
Among 2000 genes, 2000 genes are robust.
✅ Robust gene identification completed successfully.
Begin size normalization: shiftlog and HVGs selection pearson
🔍 Count Normalization:
Target sum: 500000.0
Exclude highly expressed: True
Max fraction threshold: 0.2
⚠️ Excluding 1 highly-expressed genes from normalization computation
Excluded genes: ['Ghrl']
✅ Count Normalization Completed Successfully!
✓ Processed: 100 cells × 2,000 genes
✓ Runtime: 0.00s
🔍 Highly Variable Genes Selection (Experimental):
Method: pearson_residuals
Target genes: 2,000
Theta (overdispersion): 100
✅ Experimental HVG Selection Completed Successfully!
✓ Selected: 2,000 highly variable genes out of 2,000 total (100.0%)
✓ Results added to AnnData object:
• 'highly_variable': Boolean vector (adata.var)
• 'highly_variable_rank': Float vector (adata.var)
• 'highly_variable_nbatches': Int vector (adata.var)
• 'highly_variable_intersection': Boolean vector (adata.var)
• 'means': Float vector (adata.var)
• 'variances': Float vector (adata.var)
• 'residual_variances': Float vector (adata.var)
Time to analyze data in cpu: 0.03 seconds.
✅ Preprocessing completed successfully.
Added:
'highly_variable_features', boolean vector (adata.var)
'means', float vector (adata.var)
'variances', float vector (adata.var)
'residual_variances', float vector (adata.var)
'counts', raw counts layer (adata.layers)
End of size normalization: shiftlog and HVGs selection pearson
╭─ SUMMARY: preprocess ──────────────────────────────────────────────╮
│ Duration: 0.0411s │
│ Shape: 100 x 2,000 (Unchanged) │
│ │
│ CHANGES DETECTED │
│ ──────────────── │
│ ● UNS │ ✚ REFERENCE_MANU │
│ │ ✚ _ov_provenance │
│ │ ✚ history_log │
│ │ ✚ hvg │
│ │ ✚ log1p │
│ │ ✚ status │
│ │ ✚ status_args │
│ │
│ ● LAYERS │ ✚ counts (sparse matrix, 100x2000) │
│ │
╰────────────────────────────────────────────────────────────────────╯
╭─ SUMMARY: scale ───────────────────────────────────────────────────╮
│ Duration: 0.0135s │
│ Shape: 100 x 2,000 (Unchanged) │
│ │
│ CHANGES DETECTED │
│ ──────────────── │
│ ● LAYERS │ ✚ scaled (array, 100x2000) │
│ │
╰────────────────────────────────────────────────────────────────────╯
computing PCA🔍
with n_comps=30
🖥️ Using sklearn PCA for CPU computation
🖥️ sklearn PCA backend: CPU computation
📊 PCA input data type: ArrayView, shape: (100, 2000), dtype: float64
🔧 PCA solver used: covariance_eigh
finished✅ (0.96s)
╭─ SUMMARY: pca ─────────────────────────────────────────────────────╮
│ Duration: 0.9658s │
│ Shape: 100 x 2,000 (Unchanged) │
│ │
│ CHANGES DETECTED │
│ ──────────────── │
│ ● UNS │ ✚ pca │
│ │ └─ params: {'zero_center': True, 'use_highly_variable': Tr...│
│ │ ✚ scaled|original|cum_sum_eigenvalues │
│ │ ✚ scaled|original|pca_var_ratios │
│ │
│ ● OBSM │ ✚ X_pca (array, 100x30) │
│ │ ✚ scaled|original|X_pca (array, 100x30) │
│ │
╰────────────────────────────────────────────────────────────────────╯
🖥️ Using Scanpy CPU to calculate neighbors...
🔍 K-Nearest Neighbors Graph Construction:
Mode: cpu
Neighbors: 15
Method: umap
Metric: euclidean
Representation: X_pca
🔍 Computing neighbor distances...
🔍 Computing connectivity matrix...
💡 Using UMAP-style connectivity
✓ Graph is fully connected
✅ KNN Graph Construction Completed Successfully!
✓ Processed: 100 cells with 15 neighbors each
✓ Results added to AnnData object:
• 'neighbors': Neighbors metadata (adata.uns)
• 'distances': Distance matrix (adata.obsp)
• 'connectivities': Connectivity matrix (adata.obsp)
╭─ SUMMARY: neighbors ───────────────────────────────────────────────╮
│ Duration: 0.1054s │
│ Shape: 100 x 2,000 (Unchanged) │
│ │
│ CHANGES DETECTED │
│ ──────────────── │
│ ● UNS │ ✚ neighbors │
│ │ └─ params: {'n_neighbors': 15, 'method': 'umap', 'random_s...│
│ │
│ ● OBSP │ ✚ connectivities (sparse matrix, 100x100) │
│ │ ✚ distances (sparse matrix, 100x100) │
│ │
╰────────────────────────────────────────────────────────────────────╯
🔍 [2026-05-19 17:25:52] Running UMAP in 'cpu' mode...
🖥️ Using Scanpy CPU UMAP...
🔍 UMAP Dimensionality Reduction:
Mode: cpu
Method: umap
Components: 2
Min distance: 0.5
{'n_neighbors': 15, 'method': 'umap', 'random_state': 0, 'metric': 'euclidean', 'use_rep': 'X_pca'}
🔍 Computing UMAP parameters...
🔍 Computing UMAP embedding (classic method)...
✅ UMAP Dimensionality Reduction Completed Successfully!
✓ Embedding shape: 100 cells × 2 dimensions
✓ Results added to AnnData object:
• 'X_umap': UMAP coordinates (adata.obsm)
• 'umap': UMAP parameters (adata.uns)
✅ UMAP completed successfully.
╭─ SUMMARY: umap ────────────────────────────────────────────────────╮
│ Duration: 0.012s │
│ Shape: 100 x 2,000 (Unchanged) │
│ │
│ CHANGES DETECTED │
│ ──────────────── │
│ ● UNS │ ✚ umap │
│ │ └─ params: {'a': 0.5830300199950147, 'b': 1.334166993228519}│
│ │
│ ● OBSM │ ✚ X_umap (array, 100x2) │
│ │
╰────────────────────────────────────────────────────────────────────╯
11. Top markers per celltype on the metacell AnnData#
# Find top markers per celltype on the metacell AnnData (omicverse helper —
# drops the categories with <2 metacells automatically and reports cell-type
# fractions ``pts`` along with the gene names).
counts = ad_mc.obs['clusters'].value_counts()
keep = counts[counts >= 2].index.tolist()
ad_mc_for_de = ad_mc[ad_mc.obs['clusters'].isin(keep)].copy()
ad_mc_for_de.obs['clusters'] = ad_mc_for_de.obs['clusters'].astype('category')
ov.single.find_markers(ad_mc_for_de, groupby='clusters', method='wilcoxon',
key_added='rank_genes_groups', pts=True, use_gpu=False)
ov.single.get_markers(ad_mc_for_de, n_genes=3, key='rank_genes_groups')
🔍 Finding marker genes | method: wilcoxon | groupby: clusters | n_groups: 8 | n_genes: 50
✅ Done | 8 groups × 50 genes | corr: benjamini-hochberg | stored in adata.uns['rank_genes_groups']
| group | rank | names | scores | logfoldchanges | pvals | pvals_adj | pct_group | pct_rest | |
|---|---|---|---|---|---|---|---|---|---|
| 0 | Alpha | 1 | Zcchc18 | 5.483887 | 5.577512 | 4.160799e-08 | 7.539482e-05 | 1.0 | 0.727273 |
| 1 | Alpha | 2 | Smarca1 | 5.377816 | 3.803625 | 7.539482e-08 | 7.539482e-05 | 1.0 | 0.818182 |
| 2 | Alpha | 3 | Rai2 | 5.229316 | 4.840132 | 1.701382e-07 | 1.134255e-04 | 1.0 | 0.500000 |
| 3 | Beta | 1 | Sytl4 | 6.153965 | 7.999855 | 7.556929e-10 | 2.206887e-07 | 1.0 | 0.258824 |
| 4 | Beta | 2 | Ins2 | 6.134659 | 10.150820 | 8.534227e-10 | 2.206887e-07 | 1.0 | 0.517647 |
| 5 | Beta | 3 | Ociad2 | 6.115352 | 4.848029 | 9.634404e-10 | 2.206887e-07 | 1.0 | 0.647059 |
| 6 | Delta | 1 | Sst | 5.796038 | 12.698734 | 6.789978e-09 | 6.518420e-06 | 1.0 | 0.551724 |
| 7 | Delta | 2 | Hhex | 5.796038 | 7.338409 | 6.789978e-09 | 6.518420e-06 | 1.0 | 0.655172 |
| 8 | Delta | 3 | Rbp4 | 5.734542 | 6.061865 | 9.777630e-09 | 6.518420e-06 | 1.0 | 0.862069 |
| 9 | Ductal | 1 | Hpgd | 5.600566 | 7.645501 | 2.136534e-08 | 5.923214e-06 | 1.0 | 0.227273 |
| 10 | Ductal | 2 | Fmo2 | 5.579351 | 7.339752 | 2.414170e-08 | 5.923214e-06 | 1.0 | 0.193182 |
| 11 | Ductal | 3 | Cldn10 | 5.568744 | 4.558494 | 2.565816e-08 | 5.923214e-06 | 1.0 | 0.784091 |
| 12 | Epsilon | 1 | Anpep | 4.932214 | 5.168877 | 8.130287e-07 | 4.157446e-04 | 1.0 | 0.714286 |
| 13 | Epsilon | 2 | Ghrl | 4.932214 | 11.819582 | 8.130287e-07 | 4.157446e-04 | 1.0 | 0.736264 |
| 14 | Epsilon | 3 | Card19 | 4.920169 | 3.149484 | 8.646939e-07 | 4.157446e-04 | 1.0 | 0.890110 |
| 15 | Ngn3 high EP | 1 | Smarcd2 | 7.160288 | 3.101054 | 8.050797e-13 | 6.386817e-10 | 1.0 | 0.933333 |
| 16 | Ngn3 high EP | 2 | Cdk4 | 7.152328 | 1.487660 | 8.531882e-13 | 6.386817e-10 | 1.0 | 1.000000 |
| 17 | Ngn3 high EP | 3 | Ppp1r14a | 7.136407 | 6.499706 | 9.580226e-13 | 6.386817e-10 | 1.0 | 0.626667 |
| 18 | Ngn3 low EP | 1 | Atoh8 | 4.235230 | 6.871657 | 2.283180e-05 | 3.013377e-02 | 1.0 | 0.247312 |
| 19 | Ngn3 low EP | 2 | Rsad2 | 3.897492 | 4.930171 | 9.719394e-05 | 3.013377e-02 | 1.0 | 0.397849 |
| 20 | Ngn3 low EP | 3 | Litaf | 3.897492 | 3.465132 | 9.719394e-05 | 3.013377e-02 | 1.0 | 0.806452 |
| 21 | Pre-endocrine | 1 | Fev | 4.316287 | 6.118659 | 1.586757e-05 | 7.826751e-03 | 1.0 | 0.688172 |
| 22 | Pre-endocrine | 2 | Gm43861 | 4.289268 | 4.958541 | 1.792630e-05 | 7.826751e-03 | 1.0 | 0.526882 |
| 23 | Pre-endocrine | 3 | Cystm1 | 4.289268 | 1.523489 | 1.792630e-05 | 7.826751e-03 | 1.0 | 0.978495 |
12. GeoSketch exclusive: rare-population coverage#
The point of GeoSketch is even manifold coverage — rare cell types should be over-represented in the sketch compared to uniform random sampling. Check this by counting how many of each celltype made it into the sketch.
# Compare sketch vs uniform random of the same size.
sketch_idx = mc._fit_result.backend_meta['sketch_idx']
sketch_labels = adata.obs['clusters'].iloc[sketch_idx]
uniform_labels = adata.obs['clusters'].sample(n=len(sketch_idx), random_state=0)
counts = pd.DataFrame({
'all_cells': adata.obs['clusters'].value_counts(),
'geosketch': sketch_labels.value_counts(),
'uniform_random': uniform_labels.value_counts(),
}).fillna(0).astype(int)
counts['geosketch_boost'] = (
counts['geosketch'] / counts['all_cells']
- counts['uniform_random'] / counts['all_cells']
)
counts.sort_values('all_cells')
| all_cells | geosketch | uniform_random | geosketch_boost | |
|---|---|---|---|---|
| clusters | ||||
| Delta | 69 | 13 | 1 | 0.173913 |
| Epsilon | 138 | 11 | 2 | 0.065217 |
| Ngn3 low EP | 249 | 10 | 11 | -0.004016 |
| Alpha | 470 | 13 | 8 | 0.010638 |
| Beta | 565 | 14 | 12 | 0.003540 |
| Pre-endocrine | 586 | 4 | 11 | -0.011945 |
| Ngn3 high EP | 637 | 26 | 25 | 0.001570 |
| Ductal | 916 | 9 | 30 | -0.022926 |
# Bar plot: GeoSketch's coverage boost per celltype.
import matplotlib.pyplot as plt
fig, ax = plt.subplots(figsize=(6, 3))
ordered = counts.sort_values('all_cells')
ordered['geosketch_boost'].plot.bar(
ax=ax, color=ordered['geosketch_boost']
.apply(lambda x: '#2ca02c' if x > 0 else '#d62728'))
ax.axhline(0, color='black', linewidth=0.5)
ax.set_ylabel('coverage boost vs uniform random')
ax.set_xlabel('celltype'); ax.tick_params(axis='x', rotation=30)
ax.set_title('GeoSketch over-samples rare celltypes')
plt.tight_layout(); plt.show()
13. Save / load roundtrip#
# Save/load roundtrip — every backend supports this.
import tempfile, os
with tempfile.NamedTemporaryFile(suffix='.pkl', delete=False) as f:
path = f.name
mc.save(path)
mc2 = ov.single.MetaCell(adata.copy(), method='geosketch', n_metacells=100,
use_rep='X_pca', random_state=0)
mc2.load(path)
print(f'saved+loaded {path}')
os.remove(path)
saved+loaded /tmp/tmp_xe1z9_j.pkl
14. Takeaways#
GeoSketch is the right baseline for visualisation / kNN tasks: it gives you uniform coverage at ~20 lines of code.
For aggregation-sensitive downstream tasks (DE, RNA velocity, GRN), the nearest-prototype partition omicverse builds on top is reasonable but inherits the same “one cell = one metacell prototype” limitation. Prefer SEACells or MetaQ for these tasks.
The rare-population boost in the bar plot above is the real selling point — if you have a 0.1 %-frequency cell type that uniform random would miss, GeoSketch finds it.