On the Embedding Collapse when Scaling up Recommendation Models
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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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Citing papers per year: 2024: 8; 2025: 10; 2026: 11.
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- 2024Wukong: Towards a Scaling Law for Large-Scale Recommendationcited by 72
- 2024Ads Recommendation in a Collapsed and Entangled Worldcited by 13
- 2024Mitigating Propensity Bias of Large Language Models for Recommender Systemscited by 8
- 2024Preference Diffusion for Recommendationcited by 8
- 2024Long-Sequence Recommendation Models Need Decoupled Embeddingscited by 7
- 2025LLMInit: A Free Lunch from Large Language Models for Selective Initialization of Recommendationcited by 7
- 2024Pre-train, Align, and Disentangle: Empowering Sequential Recommendation with Large Language Modelscited by 4
- 2026ParamMem: Augmenting Language Agents with Parametric Reflective Memorycited by 4
- 2024Towards Scalable Semantic Representation for Recommendationcited by 3
- 2024Scaling Laws for Online Advertisement Retrievalcited by 3
- 2025The Evolution of Embedding Table Optimization and Multi-Epoch Training in Pinterest Ads Conversioncited by 3
- 2025DGenCTR: Towards a Universal Generative Paradigm for Click-Through Rate Prediction via Discrete Diffusioncited by 2
17 more
- 2025Empowering Large Language Model for Sequential Recommendation via Multimodal Embeddings and Semantic IDscited by 2
- 2025RecIS: Sparse to Dense, A Unified Training Framework for Recommendation Modelscited by 2
- 2025Adaptive Regularization for Large-Scale Sparse Feature Embedding Modelscited by 2
- 2025Brownian Bridge Diffusion for Sequential Recommendationcited by 1
- 2026LoKA: Low-precision Kernel Applications for Recommendation Models At Scalecited by 1
- 2026Expand More, Shrink Less: Shaping Effective-Rank Dynamics for Dense Scaling in Recommendationcited by 1
- 2026MultiHashFormer: Hash-based Generative Language Modelscited by 1
- 2025Addressing Information Loss and Interaction Collapse: A Dual Enhanced Attention Framework for Feature Interactioncited by 0
- 2025Large Foundation Model for Ads Recommendationcited by 0
- 2025MATT-CTR: Unleashing a Model-Agnostic Test-Time Paradigm for CTR Prediction with Confidence-Guided Inference Pathscited by 0
- 2026SOLAR: SVD-Optimized Lifelong Attention for Recommendationcited by 0
- 2026OCP: Orthogonal Constrained Projection for Sparse Scaling in Industrial Commodity Recommendationcited by 0
- 2026Understanding DNNs in Feature Interaction Models: A Dimensional Collapse Perspectivecited by 0
- 2026Self-Balancing Gradient Allocation for Heterogeneity-Aware Feature Generation in Click-Through Rate Predictioncited by 0
- 2026SpecFormer: Mitigating Embedding and Attention Collapse via Spectral-Aware Transformer for Recommendationcited by 0
- 2026ROCS: Request-Oriented Compute Sharing for Efficient Large-Scale Recommendationcited by 0
- 2026From Feature Interaction to Feature Transport - A Unified Block for Scalable Recommendation Modelscited by 0
- 2026From Feature Interaction to Feature Transport - A Unified Block for Scalable Recommendation Models31 Aug 2026
- 2026ROCS: Request-Oriented Compute Sharing for Efficient Large-Scale Recommendation30 Jul 2026
- 2026SpecFormer: Mitigating Embedding and Attention Collapse via Spectral-Aware Transformer for Recommendation27 Jul 2026
- 2026MultiHashFormer: Hash-based Generative Language Models26 Jun 2026
- 2026Self-Balancing Gradient Allocation for Heterogeneity-Aware Feature Generation in Click-Through Rate Prediction24 May 2026
- 2026Expand More, Shrink Less: Shaping Effective-Rank Dynamics for Dense Scaling in Recommendation22 May 2026
- 2026LoKA: Low-precision Kernel Applications for Recommendation Models At Scale11 May 2026
- 2026Understanding DNNs in Feature Interaction Models: A Dimensional Collapse Perspective29 Apr 2026
- 2026OCP: Orthogonal Constrained Projection for Sparse Scaling in Industrial Commodity Recommendation19 Mar 2026
- 2026SOLAR: SVD-Optimized Lifelong Attention for Recommendation3 Mar 2026
- 2026ParamMem: Augmenting Language Agents with Parametric Reflective Memory26 Feb 2026
- 2025Adaptive Regularization for Large-Scale Sparse Feature Embedding Models9 Nov 2025
17 more
- 2025MATT-CTR: Unleashing a Model-Agnostic Test-Time Paradigm for CTR Prediction with Confidence-Guided Inference Paths10 Oct 2025
- 2025RecIS: Sparse to Dense, A Unified Training Framework for Recommendation Models25 Sep 2025
- 2025Empowering Large Language Model for Sequential Recommendation via Multimodal Embeddings and Semantic IDs2 Sep 2025
- 2025Large Foundation Model for Ads Recommendation20 Aug 2025
- 2025DGenCTR: Towards a Universal Generative Paradigm for Click-Through Rate Prediction via Discrete Diffusion20 Aug 2025
- 2025Brownian Bridge Diffusion for Sequential Recommendation8 Jul 2025
- 2025The Evolution of Embedding Table Optimization and Multi-Epoch Training in Pinterest Ads Conversion8 May 2025
- 2025Addressing Information Loss and Interaction Collapse: A Dual Enhanced Attention Framework for Feature Interaction14 Mar 2025
- 2025LLMInit: A Free Lunch from Large Language Models for Selective Initialization of Recommendation3 Mar 2025
- 2024Pre-train, Align, and Disentangle: Empowering Sequential Recommendation with Large Language Models5 Dec 2024
- 2024Scaling Laws for Online Advertisement Retrieval20 Nov 2024
- 2024Preference Diffusion for Recommendation17 Oct 2024
- 2024Towards Scalable Semantic Representation for Recommendation12 Oct 2024
- 2024Long-Sequence Recommendation Models Need Decoupled Embeddings3 Oct 2024
- 2024Mitigating Propensity Bias of Large Language Models for Recommender Systems30 Sep 2024
- 2024Wukong: Towards a Scaling Law for Large-Scale Recommendation4 Mar 2024
- 2024Ads Recommendation in a Collapsed and Entangled World22 Feb 2024
- 2025DGenCTR: Towards a Universal Generative Paradigm for Click-Through Rate Prediction via Discrete Diffusioncited by 2
- 2025Brownian Bridge Diffusion for Sequential Recommendationcited by 1
- 2026Self-Balancing Gradient Allocation for Heterogeneity-Aware Feature Generation in Click-Through Rate Predictioncited by 0
- 2026Self-Balancing Gradient Allocation for Heterogeneity-Aware Feature Generation in Click-Through Rate Prediction24 May 2026
- 2025DGenCTR: Towards a Universal Generative Paradigm for Click-Through Rate Prediction via Discrete Diffusion20 Aug 2025
- 2025Brownian Bridge Diffusion for Sequential Recommendation8 Jul 2025
- 2024Wukong: Towards a Scaling Law for Large-Scale Recommendationcited by 72
- 2024Ads Recommendation in a Collapsed and Entangled Worldcited by 13
- 2024Mitigating Propensity Bias of Large Language Models for Recommender Systemscited by 8
- 2024Preference Diffusion for Recommendationcited by 8
- 2024Long-Sequence Recommendation Models Need Decoupled Embeddingscited by 7
- 2025LLMInit: A Free Lunch from Large Language Models for Selective Initialization of Recommendationcited by 7
- 2024Pre-train, Align, and Disentangle: Empowering Sequential Recommendation with Large Language Modelscited by 4
- 2026ParamMem: Augmenting Language Agents with Parametric Reflective Memorycited by 4
- 2024Towards Scalable Semantic Representation for Recommendationcited by 3
- 2024Scaling Laws for Online Advertisement Retrievalcited by 3
- 2025The Evolution of Embedding Table Optimization and Multi-Epoch Training in Pinterest Ads Conversioncited by 3
- 2025Empowering Large Language Model for Sequential Recommendation via Multimodal Embeddings and Semantic IDscited by 2
12 most cited of 26 All 26 (JSON)
- 2026From Feature Interaction to Feature Transport - A Unified Block for Scalable Recommendation Models31 Aug 2026
- 2026ROCS: Request-Oriented Compute Sharing for Efficient Large-Scale Recommendation30 Jul 2026
- 2026SpecFormer: Mitigating Embedding and Attention Collapse via Spectral-Aware Transformer for Recommendation27 Jul 2026
- 2026MultiHashFormer: Hash-based Generative Language Models26 Jun 2026
- 2026Expand More, Shrink Less: Shaping Effective-Rank Dynamics for Dense Scaling in Recommendation22 May 2026
- 2026LoKA: Low-precision Kernel Applications for Recommendation Models At Scale11 May 2026
- 2026Understanding DNNs in Feature Interaction Models: A Dimensional Collapse Perspective29 Apr 2026
- 2026OCP: Orthogonal Constrained Projection for Sparse Scaling in Industrial Commodity Recommendation19 Mar 2026
- 2026SOLAR: SVD-Optimized Lifelong Attention for Recommendation3 Mar 2026
- 2026ParamMem: Augmenting Language Agents with Parametric Reflective Memory26 Feb 2026
- 2025Adaptive Regularization for Large-Scale Sparse Feature Embedding Models9 Nov 2025
- 2025MATT-CTR: Unleashing a Model-Agnostic Test-Time Paradigm for CTR Prediction with Confidence-Guided Inference Paths10 Oct 2025
12 newest of 26 All 26 (JSON)