Theoretical Analysis of Contrastive Learning under Imbalanced Data: From Training Dynamics to a Pruning Solution

ICLR 2026 Conference SubmissionAnonymous Authors
Contrastive learningFeature learningTraining dynamicsTheoretical analysis
Abstract:

Contrastive learning has emerged as a powerful framework for learning generalizable representations, yet its theoretical understanding remains limited, particularly under imbalanced data distributions that are prevalent in real-world applications. Such an imbalance can degrade representation quality and induce biased model behavior, yet a rigorous characterization of these effects is lacking. In this work, we develop a theoretical framework to analyze the training dynamics of contrastive learning with Transformer-based encoders under imbalanced data. Our results reveal that neuron weights evolve through three distinct stages of training, with different dynamics for majority features, minority features, and noise. We further show that minority features reduce representational capacity, increase the need for more complex architectures, and hinder the separation of ground-truth features from noise. Inspired by these neuron-level behaviors, we show that pruning restores performance degraded by imbalance and enhances feature separation, offering both conceptual insights and practical guidance. Major theoretical findings are validated through numerical experiments.

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Overview

Overall Novelty Assessment

The paper develops a theoretical framework analyzing contrastive learning training dynamics under imbalanced data distributions, focusing on Transformer-based encoders and neuron-level evolution across three training stages. It resides in the 'Contrastive Learning under Data Imbalance' leaf, which contains only two papers total (including this one), indicating a sparse and emerging research direction. The sibling paper addresses alternative training objectives for imbalance mitigation, suggesting the leaf captures diverse angles on the same core challenge rather than a crowded space of overlapping solutions.

The taxonomy tree reveals that this work sits within the broader 'Machine Learning Tasks and Benchmarks' branch, which includes neighboring leaves on task definition, multi-task learning frameworks, and benchmark construction. The scope_note for the parent leaf explicitly focuses on 'contrastive learning dynamics and solutions for imbalanced data distributions,' distinguishing it from general multi-task learning paradigms and domain-specific applications. Nearby branches address research methodology and applied domains, but the paper's theoretical emphasis on training dynamics positions it distinctly from empirical benchmark studies or domain-specific problem formulations found elsewhere in the taxonomy.

Among twenty-five candidates examined through semantic search and citation expansion, none were found to clearly refute any of the three main contributions. The first contribution (theoretical framework for training dynamics) examined ten candidates with zero refutations; the second (quantitative characterization of minority feature impact) also examined ten with zero refutations; the third (pruning justification) examined five with zero refutations. This suggests that within the limited search scope, the specific combination of theoretical analysis, neuron-level dynamics, and pruning solutions for imbalanced contrastive learning appears relatively unexplored, though the search scale precludes exhaustive claims about the broader literature.

Based on the limited examination of twenty-five semantically related papers, the work appears to occupy a novel position combining formal training dynamics analysis with architectural insights for imbalanced contrastive learning. The sparse taxonomy leaf and absence of refuting candidates within the search scope suggest conceptual distinctiveness, though a more comprehensive literature review would be needed to assess whether related theoretical frameworks exist in adjacent research communities not captured by the top-K semantic retrieval strategy employed here.

Taxonomy

Core-task Taxonomy Papers
50
3
Claimed Contributions
25
Contribution Candidate Papers Compared
0
Refutable Paper

Research Landscape Overview

Core task: the paper addresses an unspecified research problem. The taxonomy organizes work into five main branches: Research Problem Identification and Formulation, which focuses on defining and scoping research questions; Research Objectives and Study Design, which encompasses goal-setting and experimental planning; Research Methodology and Paradigms, which covers the philosophical and procedural frameworks guiding inquiry; Applied Research in Specific Domains, which targets domain-specific challenges; and Machine Learning Tasks and Benchmarks, which deals with standardized evaluation settings and learning objectives. These branches collectively span the spectrum from abstract problem formulation to concrete algorithmic evaluation, with many studies bridging multiple areas. For instance, works on multi-task learning objectives and multi-objective optimization naturally connect methodological concerns with applied benchmarks, while studies on research design principles inform both problem identification and domain-specific applications. Within the Machine Learning Tasks and Benchmarks branch, a particularly active line of work addresses contrastive learning under data imbalance, where the challenge is to learn robust representations when class distributions are skewed. Theoretical Analysis of Contrastive[0] sits squarely in this cluster, focusing on the theoretical underpinnings of contrastive methods in imbalanced settings. Nearby, Complement objective training[26] explores alternative training objectives that may mitigate imbalance effects, suggesting a shared interest in how objective design influences learning under distributional constraints. While many studies in this area emphasize empirical benchmarks or domain applications, Theoretical Analysis of Contrastive[0] appears to prioritize formal analysis, offering a complementary perspective to more application-driven efforts. This positioning highlights an ongoing tension between theoretical guarantees and practical performance, a central theme across the broader landscape of machine learning research objectives.

Claimed Contributions

Theoretical framework for contrastive learning training dynamics under imbalanced data

The authors establish a theoretical characterization of how contrastive learning with Transformer-MLP architectures evolves through three distinct training stages under imbalanced data distributions. The framework reveals how neuron weights evolve differently for majority features, minority features, and noise, and quantifies how minority features reduce representational capacity and hinder feature separation.

10 retrieved papers
Quantitative characterization of minority feature impact on neuron specialization

The authors provide a quantitative analysis showing that imbalance degrades representation in multiple ways: it slows minority feature learning, decreases the number of neurons specializing in single features, and necessitates more complex models to capture all features adequately.

10 retrieved papers
Theoretical justification for magnitude-based pruning to enhance minority feature learning

The authors demonstrate theoretically that magnitude-based pruning enhances gradient updates along minority feature directions, encouraging more neurons to specialize in pure minority features. This yields more robust and balanced representations by amplifying the contribution of samples containing minority features.

5 retrieved papers

Core Task Comparisons

Comparisons with papers in the same taxonomy category

Contribution Analysis

Detailed comparisons for each claimed contribution

Contribution

Theoretical framework for contrastive learning training dynamics under imbalanced data

The authors establish a theoretical characterization of how contrastive learning with Transformer-MLP architectures evolves through three distinct training stages under imbalanced data distributions. The framework reveals how neuron weights evolve differently for majority features, minority features, and noise, and quantifies how minority features reduce representational capacity and hinder feature separation.

Contribution

Quantitative characterization of minority feature impact on neuron specialization

The authors provide a quantitative analysis showing that imbalance degrades representation in multiple ways: it slows minority feature learning, decreases the number of neurons specializing in single features, and necessitates more complex models to capture all features adequately.

Contribution

Theoretical justification for magnitude-based pruning to enhance minority feature learning

The authors demonstrate theoretically that magnitude-based pruning enhances gradient updates along minority feature directions, encouraging more neurons to specialize in pure minority features. This yields more robust and balanced representations by amplifying the contribution of samples containing minority features.