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An Investigation of Representation and Allocation Harms in Contrastive Learning

ICLR 2024 · Label-efficient and robust learning › Self-supervised and contrastive · approach: Inductive bias and minimal representations · 0 citations (OpenAlex)

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Shows that underrepresenting a class makes contrastive learning representations collapse toward semantically similar majority groups (representation harm), that this mediates downstream allocation harm, and gives a stochastic block model theory of the collapse.

Problem

Underrepresentation of groups in self-supervised contrastive learning data may collapse minority-group representations onto similar majority groups, causing representation harm and downstream allocation harm; this had been underexplored.

Approach

Defines a representation harm metric (ratio of average cosine distances between groups under underrepresented vs balanced CL training), links it to allocation harm via causal mediation analysis (natural indirect effect), and proves neural-collapse-style asymptotics of the CL loss under a stochastic block model with group imbalance.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Undersample automobile to 1% during SimCLR trainingSimCLR on CIFAR10 · CIFAR10representation harm (RH), automobile-truck: 0.78 ± 0.009Hurt
Undersample either automobile or truck to 1%SimCLR on CIFAR10 · CIFAR10representation harm (RH), automobile-truck: 0.78 ± 0.009; 0.832 ± 0.012Hurt
Undersample a class during SimCLR trainingSimCLR on CIFAR10 · CIFAR10natural indirect effect (NIE): 0.062 ± 0.001Hurt
Use SimSiam instead of SimCLRContrastive learning on CIFAR10 · CIFAR10representation harm (RH): 0.834 ± 0.025; 0.882 ± 0.0Hurt
Use boosted contrastive learning instead of SimCLRSimCLR on CIFAR10 · CIFAR10representation harm (RH), automobile-truck: 0.78 ± 0.009 and 0.832 ± 0.012 -> 0.829 ± 0.001 and 0.897 ± 0.001Helped
Use boosted contrastive learning instead of SimCLRSimCLR on CIFAR10 · CIFAR10diagonal NIE: 5.3± 0.2 %; 3.7 ± 0.01%Hurt
Undersample the first block in the connected-block stochastic block modelContrastive learning on stochastic block model · stochastic block modelcosine similarity between connected groups: 0.52 (± 0.08) -> 0.7 (± 0.07); 0.83 (± 0.03)Hurt
Reduce the first block's connectivity with the second blockContrastive learning on stochastic block model · stochastic block modelcosine similarity between group representations: 0.4; 0.1Helped
Undersample the minority gender within occupations during SimCSE trainingSimCSE on BiasBios · BiasBiosgender representation harm (GRH): 0.94; 0.95Hurt
Balance gender representation when training the logistic-regression predictorSimCSE representations with logistic regression on BiasBios · BiasBiosgender allocation harm (GAH)Helped
Balance class frequencies in addition to gender when training the logistic-regression predictorSimCSE representations with logistic regression on BiasBios · BiasBiosgender allocation harm (GAH)No clear effect
Balance gender and class frequencies when training the logistic-regression predictorSimCSE representations with logistic regression on BiasBios · BiasBiosallocation harm for underrepresented occupationsHelped

Surprising findings

Limitations

Experimental setup

Datasets: CIFAR10 BiasBios

Benchmarks: CIFAR10 BiasBios

Metrics: representation harm (RH) ratio of cosine distances gender representation harm (GRH) gender allocation harm (GAH) total effect (TE) natural indirect effect (NIE) classification accuracy

Baselines: SimCLR balanced model SimSiam boosted contrastive learning (BCL_I)

Builds on: SimCLR SimSiam SimCSE node2vec boosted contrastive learning

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