mlsanityData to 7 Oct 2026

On the Embedding Collapse when Scaling up Recommendation Models

arXiv 2310.04400 ↗First posted 6 Oct 2023cs.LG cs.IRcited by 29

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Abstract (arXiv)

Recent advances in foundation models have led to a promising trend of developing large recommendation models to leverage vast amounts of available data. Still, mainstream models remain embarrassingly small in size and na"ive enlarging does not lead to sufficient performance gain, suggesting a deficiency in the model scalability. In this paper, we identify the embedding collapse phenomenon as the inhibition of scalability, wherein the embedding matrix tends to occupy a low-dimensional subspace. Through empirical and theoretical analysis, we demonstrate a two-sided effect of feature interaction specific to recommendation models. On the one hand, interacting with collapsed embeddings restricts embedding learning and exacerbates the collapse issue. On the other hand, interaction is crucial in mitigating the fitting of spurious features as a scalability guarantee. Based on our analysis, we propose a simple yet effective multi-embedding design incorporating embedding-set-specific interaction modules to learn embedding sets with large diversity and thus reduce collapse. Extensive experiments demonstrate that this proposed design provides consistent scalability and effective collapse mitigation for various recommendation models. Code is available at this repository: https://github.com/thuml/Multi-Embedding.

Key facts. Cited by 29 papers in the map (data through 7 Oct 2026). Builds on 38 of its 48 references that are in the map. First posted on arXiv 6 Oct 2023.

Builds on

38 of 48 references.

References · 38

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  11. 2020Prevalence of Neural Collapse during the terminal phase of deep learning trainingcited by 713
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26 more
  1. 2021Understanding Dimensional Collapse in Contrastive Self-supervised Learningcited by 374
  2. 2020DCN V2: Improved Deep & Cross Network and Practical Lessons for Web-scale Learning to Rank Systemscited by 326
  3. 2018AutoInt: Automatic Feature Interaction Learning via Self-Attentive Neural Networkscited by 319
  4. 2021The Intrinsic Dimension of Images and Its Impact on Learningcited by 307
  5. 2018xDeepFM: Combining Explicit and Implicit Feature Interactions for Recommender Systemscited by 277
  6. 2019Intrinsic dimension of data representations in deep neural networkscited by 276
  7. 2021A Geometric Analysis of Neural Collapse with Unconstrained Featurescited by 226
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  10. 2020Better Fine-Tuning by Reducing Representational Collapsecited by 156
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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 8; 2025: 10; 2026: 11.

29 papers.

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  1. 2024Wukong: Towards a Scaling Law for Large-Scale Recommendationcited by 72
  2. 2024Ads Recommendation in a Collapsed and Entangled Worldcited by 13
  3. 2024Mitigating Propensity Bias of Large Language Models for Recommender Systemscited by 8
  4. 2024Preference Diffusion for Recommendationcited by 8
  5. 2024Long-Sequence Recommendation Models Need Decoupled Embeddingscited by 7
  6. 2025LLMInit: A Free Lunch from Large Language Models for Selective Initialization of Recommendationcited by 7
  7. 2024Pre-train, Align, and Disentangle: Empowering Sequential Recommendation with Large Language Modelscited by 4
  8. 2026ParamMem: Augmenting Language Agents with Parametric Reflective Memorycited by 4
  9. 2024Towards Scalable Semantic Representation for Recommendationcited by 3
  10. 2024Scaling Laws for Online Advertisement Retrievalcited by 3
  11. 2025The Evolution of Embedding Table Optimization and Multi-Epoch Training in Pinterest Ads Conversioncited by 3
  12. 2025DGenCTR: Towards a Universal Generative Paradigm for Click-Through Rate Prediction via Discrete Diffusioncited by 2
17 more
  1. 2025Empowering Large Language Model for Sequential Recommendation via Multimodal Embeddings and Semantic IDscited by 2
  2. 2025RecIS: Sparse to Dense, A Unified Training Framework for Recommendation Modelscited by 2
  3. 2025Adaptive Regularization for Large-Scale Sparse Feature Embedding Modelscited by 2
  4. 2025Brownian Bridge Diffusion for Sequential Recommendationcited by 1
  5. 2026LoKA: Low-precision Kernel Applications for Recommendation Models At Scalecited by 1
  6. 2026Expand More, Shrink Less: Shaping Effective-Rank Dynamics for Dense Scaling in Recommendationcited by 1
  7. 2026MultiHashFormer: Hash-based Generative Language Modelscited by 1
  8. 2025Addressing Information Loss and Interaction Collapse: A Dual Enhanced Attention Framework for Feature Interactioncited by 0
  9. 2025Large Foundation Model for Ads Recommendationcited by 0
  10. 2025MATT-CTR: Unleashing a Model-Agnostic Test-Time Paradigm for CTR Prediction with Confidence-Guided Inference Pathscited by 0
  11. 2026SOLAR: SVD-Optimized Lifelong Attention for Recommendationcited by 0
  12. 2026OCP: Orthogonal Constrained Projection for Sparse Scaling in Industrial Commodity Recommendationcited by 0
  13. 2026Understanding DNNs in Feature Interaction Models: A Dimensional Collapse Perspectivecited by 0
  14. 2026Self-Balancing Gradient Allocation for Heterogeneity-Aware Feature Generation in Click-Through Rate Predictioncited by 0
  15. 2026SpecFormer: Mitigating Embedding and Attention Collapse via Spectral-Aware Transformer for Recommendationcited by 0
  16. 2026ROCS: Request-Oriented Compute Sharing for Efficient Large-Scale Recommendationcited by 0
  17. 2026From Feature Interaction to Feature Transport - A Unified Block for Scalable Recommendation Modelscited by 0