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URLOST: Unsupervised Representation Learning without Stationarity or Topology

ICLR 2025 · Label-efficient and robust learning › Self-supervised and contrastive · approach: Empirical contrastive visual learning · 0 citations (OpenAlex)

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Proposes URLOST, which clusters signal dimensions via density-adjusted spectral clustering on mutual information, aligns clusters with a self-organizing layer, and trains a masked autoencoder, enabling representation learning on data without known stationarity or topology.

Problem

Self-supervised representation learning typically assumes data has known stationarity and domain topology (e.g., image grids), which fails for irregular, non-stationary high-dimensional signals such as foveated vision, V1 neural recordings, and gene expression.

Approach

Recover a coarse topology from pairwise mutual information between signal dimensions via density-adjusted spectral clustering, then align the resulting irregular clusters with a learnable non-shared self-organizing layer before a standard masked autoencoder with a ViT backbone.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
use similar-dimension clusters as masking units instead of randomly aggregating dimensions (ablation)URLOST MAE · Permuted CIFAR-10probing accuracy: 55.7% -> 86.4%Helped
use similar-dimension clusters as masking units instead of individual dimensions (ablation)URLOST MAE · Foveated CIFAR-10probing accuracy: 48.5% -> 85.4%Helped
use similar-dimension clusters as masking units instead of randomly aggregating dimensions (ablation)URLOST MAE · TCGA Geneprobing accuracy: 91.7% -> 94.9%Helped
use similar-dimension clusters as masking units instead of individual dimensions (ablation)URLOST MAE · V1 Responseprobing accuracy: 64.8% -> 78.8%Helped
use a non-shared self-organizing projection instead of a shared projection (ablation)URLOST MAE · Locally-Permuted CIFAR-10linear probing accuracy: 81.4 % -> 87.6 %Helped
use a non-shared self-organizing projection instead of a shared projection (ablation)URLOST MAE · Permuted CIFAR-10linear probing accuracy: 80.7 % -> 86.4 %Helped
use density-adjusted spectral clustering instead of uniform-density spectral clustering (ablation)URLOST MAE · Foveated CIFAR-10linear probing accuracy: 82.7 % -> 85.4 %Helped
set α=0.5 and β=2 instead of α=1.0 and β=2 (ablation)URLOST MAE · Foveated CIFAR-10evaluation accuracy: 81.62 % -> 85.43 %Helped
set α=0.5 and β=2 instead of α=0 and β=0 (ablation)URLOST MAE · Foveated CIFAR-10evaluation accuracy: 82.74 % -> 85.43 %Helped

Surprising findings

Limitations

Experimental setup

Datasets: CIFAR-10 Foveated CIFAR-10 Permuted CIFAR-10 Locally-Permuted CIFAR-10 V1 neural response dataset TCGA miRNA pan-cancer dataset

Benchmarks: CIFAR-10 Permuted CIFAR-10 Foveated CIFAR-10 V1 response decoding TCGA pan-cancer classification

Metrics: linear probing accuracy decoding accuracy classification accuracy (5-fold CV)

Baselines: MAE SimCLR beta-VAE Vision GNN (ViG) ResNet-18

Builds on: masked autoencoder SimCLR beta-VAE Vision Transformer FlexiViT

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