Field-weighted Factorization Machines for Click-Through Rate Prediction in Display Advertising
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Abstract (arXiv)
Click-through rate (CTR) prediction is a critical task in online display advertising. The data involved in CTR prediction are typically multi-field categorical data, i.e., every feature is categorical and belongs to one and only one field. One of the interesting characteristics of such data is that features from one field often interact differently with features from different other fields. Recently, Field-aware Factorization Machines (FFMs) have been among the best performing models for CTR prediction by explicitly modeling such difference. However, the number of parameters in FFMs is in the order of feature number times field number, which is unacceptable in the real-world production systems. In this paper, we propose Field-weighted Factorization Machines (FwFMs) to model the different feature interactions between different fields in a much more memory-efficient way. Our experimental evaluations show that FwFMs can achieve competitive prediction performance with only as few as 4% parameters of FFMs. When using the same number of parameters, FwFMs can bring 0.92% and 0.47% AUC lift over FFMs on two real CTR prediction data sets.
Key facts. Cited by 59 papers in the map (data through 7 Oct 2026). First posted on arXiv 9 Jun 2018.
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Citing papers per year: 2021: 14; 2022: 9; 2023: 10; 2024: 6; 2025: 13; 2026: 7.
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- 2021End-to-End User Behavior Retrieval in Click-Through RatePrediction Modelcited by 45
- 2021Deep Learning for Click-Through Rate Estimationcited by 33
- 2021FM2: Field-matrixed Factorization Machines for Recommender Systemscited by 31
- 2022Click-Through Rate Prediction in Online Advertising: A Literature Reviewcited by 31
- 2023On the Embedding Collapse when Scaling up Recommendation Modelscited by 29
- 2023STEM: Unleashing the Power of Embeddings for Multi-task Recommendationcited by 19
- 2021User Response Prediction in Online Advertisingcited by 15
- 2021An Efficient Deep Distribution Network for Bid Shading in First-Price Auctionscited by 14
- 2022CL4CTR: A Contrastive Learning Framework for CTR Predictioncited by 14
- 2021Learning Graph Meta Embeddings for Cold-Start Ads in Click-Through Rate Predictioncited by 13
- 2024Ads Recommendation in a Collapsed and Entangled Worldcited by 13
- 2021Memorize, Factorize, or be Na"ive: Learning Optimal Feature Interaction Methods for CTR Predictioncited by 12
38 more
- 2023Causality-based CTR Prediction using Graph Neural Networkscited by 9
- 2023Temporal Interest Network for User Response Predictioncited by 9
- 2023HyperFormer: Learning Expressive Sparse Feature Representations via Hypergraph Transformercited by 8
- 2021Joint Online Learning and Decision-making via Dual Mirror Descentcited by 7
- 2021DCAP: Deep Cross Attentional Product Network for User Response Predictioncited by 5
- 2021Looking at CTR Prediction Again: Is Attention All You Need?cited by 4
- 2024ADSNet: Cross-Domain LTV Prediction with an Adaptive Siamese Network in Advertisingcited by 4
- 2025Field Matters: A Lightweight LLM-enhanced Method for CTR Predictioncited by 4
- 2024MEBS: Multi-task End-to-end Bid Shading for Multi-slot Display Advertisingcited by 3
- 2025Revisiting Feature Interactions from the Perspective of Quadratic Neural Networks for Click-through Rate Predictioncited by 3
- 2025From Scaling to Structured Expressivity: Rethinking Transformers for CTR Predictioncited by 3
- 2026TokenFormer: Unify the Multi-Field and Sequential Recommendation Worldscited by 3
- 2021AEFE: Automatic Embedded Feature Engineering for Categorical Featurescited by 2
- 2022AutoAttention: Automatic Field Pair Selection for Attention in User Behavior Modelingcited by 2
- 2022MemoNet: Memorizing All Cross Features' Representations Efficiently via Multi-Hash Codebook Network for CTR Predictioncited by 2
- 2023Exploiting Field Dependencies for Learning on Categorical Datacited by 2
- 2024Low Rank Field-Weighted Factorization Machines for Low Latency Item Recommendationcited by 2
- 2025DashCLIP: Leveraging multimodal models for generating semantic embeddings for DoorDashcited by 2
- 2025DGenCTR: Towards a Universal Generative Paradigm for Click-Through Rate Prediction via Discrete Diffusioncited by 2
- 2021FINT: Field-aware INTeraction Neural Network For CTR Predictioncited by 1
- 2022PHN: Parallel heterogeneous network with soft gating for CTR predictioncited by 1
- 2022Meta-Wrapper: Differentiable Wrapping Operator for User Interest Selection in CTR Predictioncited by 1
- 2022Directed Acyclic Graph Factorization Machines for CTR Prediction via Knowledge Distillationcited by 1
- 2023Pairwise Ranking Losses of Click-Through Rates Prediction for Welfare Maximization in Ad Auctionscited by 1
- 2024Beyond KAN: Introducing KarSein for Adaptive High-Order Feature Interaction Modeling in CTR Predictioncited by 1
- 2025Mini-Game Lifetime Value Prediction in WeChatcited by 1
- 2021Online Interaction Detection for Click-Through Rate Predictioncited by 0
- 2021Leaf-FM: A Learnable Feature Generation Factorization Machine for Click-Through Rate Predictioncited by 0
- 2022Functional Optimization Reinforcement Learning for Real-Time Biddingcited by 0
- 2022Risk-Aware Bid Optimization for Online Display Advertisementcited by 0
- 2023DELTA: Dynamic Embedding Learning with Truncated Conscious Attention for CTR Predictioncited by 0
- 2023Beyond Rankings: Exploring the Impact of SERP Features on Organic Click-through Ratescited by 0
- 2023Unbiased Filtering Of Accidental Clicks in Verizon Media Native Advertisingcited by 0
- 2024FedUD: Exploiting Unaligned Data for Cross-Platform Federated Click-Through Rate Predictioncited by 0
- 2025Addressing Information Loss and Interaction Collapse: A Dual Enhanced Attention Framework for Feature Interactioncited by 0
- 2025DCN^2: Interplay of Implicit Collision Weights and Explicit Cross Layers for Large-Scale Recommendationcited by 0
- 2025Large Foundation Model for Ads Recommendationcited by 0
- 2025Learning Concave Bid Shading Strategies in Online Auctions via Measure-valued Proximal Optimizationcited by 0
50 most cited of 59 All 59 (JSON)
- 2026PRIME: Mitigating Subgroup Optimization Competition in Shared CTR Top Networks with Plug-in Residual Input-Conditioned Mixture of Expert31 Aug 2026
- 2026SpecFormer: Mitigating Embedding and Attention Collapse via Spectral-Aware Transformer for Recommendation27 Jul 2026
- 2026Context Features Are Cheap: Rank-Aware Decomposition for Efficient Feature Interaction in Recommender Systems24 May 2026
- 2026Understanding DNNs in Feature Interaction Models: A Dimensional Collapse Perspective29 Apr 2026
- 2026TokenFormer: Unify the Multi-Field and Sequential Recommendation Worlds15 Apr 2026
- 2026tensorFM: Low-Rank Approximations of Cross-Order Feature Interactions16 Feb 2026
- 2026Distribution-Aware End-to-End Embedding for Streaming Numerical Features in Click-Through Rate Prediction3 Feb 2026
- 2025Toward a benchmark for CTR prediction in online advertising: datasets, evaluation protocols and perspectives1 Dec 2025
- 2025From Scaling to Structured Expressivity: Rethinking Transformers for CTR Prediction15 Nov 2025
- 2025MATT-CTR: Unleashing a Model-Agnostic Test-Time Paradigm for CTR Prediction with Confidence-Guided Inference Paths10 Oct 2025
- 2025On Predicting Post-Click Conversion Rate via Counterfactual Inference6 Oct 2025
- 2025Learning Concave Bid Shading Strategies in Online Auctions via Measure-valued Proximal Optimization12 Sep 2025
38 more
- 2025Large Foundation Model for Ads Recommendation20 Aug 2025
- 2025DGenCTR: Towards a Universal Generative Paradigm for Click-Through Rate Prediction via Discrete Diffusion20 Aug 2025
- 2025DCN^2: Interplay of Implicit Collision Weights and Explicit Cross Layers for Large-Scale Recommendation24 Jun 2025
- 2025Revisiting Feature Interactions from the Perspective of Quadratic Neural Networks for Click-through Rate Prediction23 May 2025
- 2025Mini-Game Lifetime Value Prediction in WeChat21 May 2025
- 2025Field Matters: A Lightweight LLM-enhanced Method for CTR Prediction20 May 2025
- 2025DashCLIP: Leveraging multimodal models for generating semantic embeddings for DoorDash18 Mar 2025
- 2025Addressing Information Loss and Interaction Collapse: A Dual Enhanced Attention Framework for Feature Interaction14 Mar 2025
- 2024Beyond KAN: Introducing KarSein for Adaptive High-Order Feature Interaction Modeling in CTR Prediction16 Aug 2024
- 2024FedUD: Exploiting Unaligned Data for Cross-Platform Federated Click-Through Rate Prediction26 Jul 2024
- 2024Low Rank Field-Weighted Factorization Machines for Low Latency Item Recommendation22 Jul 2024
- 2024ADSNet: Cross-Domain LTV Prediction with an Adaptive Siamese Network in Advertising15 Jun 2024
- 2024MEBS: Multi-task End-to-end Bid Shading for Multi-slot Display Advertising5 Mar 2024
- 2024Ads Recommendation in a Collapsed and Entangled World22 Feb 2024
- 2023Unbiased Filtering Of Accidental Clicks in Verizon Media Native Advertising8 Dec 2023
- 2023On the Embedding Collapse when Scaling up Recommendation Models6 Oct 2023
- 2023STEM: Unleashing the Power of Embeddings for Multi-task Recommendation16 Aug 2023
- 2023Temporal Interest Network for User Response Prediction15 Aug 2023
- 2023Exploiting Field Dependencies for Learning on Categorical Data18 Jul 2023
- 2023Pairwise Ranking Losses of Click-Through Rates Prediction for Welfare Maximization in Ad Auctions1 Jun 2023
- 2023Beyond Rankings: Exploring the Impact of SERP Features on Organic Click-through Rates31 May 2023
- 2023HyperFormer: Learning Expressive Sparse Feature Representations via Hypergraph Transformer27 May 2023
- 2023DELTA: Dynamic Embedding Learning with Truncated Conscious Attention for CTR Prediction3 May 2023
- 2023Causality-based CTR Prediction using Graph Neural Networks30 Jan 2023
- 2022CL4CTR: A Contrastive Learning Framework for CTR Prediction1 Dec 2022
- 2022Directed Acyclic Graph Factorization Machines for CTR Prediction via Knowledge Distillation21 Nov 2022
- 2022Risk-Aware Bid Optimization for Online Display Advertisement28 Oct 2022
- 2022AutoAttention: Automatic Field Pair Selection for Attention in User Behavior Modeling27 Oct 2022
- 2022MemoNet: Memorizing All Cross Features' Representations Efficiently via Multi-Hash Codebook Network for CTR Prediction25 Oct 2022
- 2022Meta-Wrapper: Differentiable Wrapping Operator for User Interest Selection in CTR Prediction28 Jun 2022
- 2022Functional Optimization Reinforcement Learning for Real-Time Bidding25 Jun 2022
- 2022PHN: Parallel heterogeneous network with soft gating for CTR prediction18 Jun 2022
- 2022Click-Through Rate Prediction in Online Advertising: A Literature Review22 Feb 2022
- 2021AEFE: Automatic Embedded Feature Engineering for Categorical Features19 Oct 2021
- 2021End-to-End User Behavior Retrieval in Click-Through RatePrediction Model10 Aug 2021
- 2021Memorize, Factorize, or be Na"ive: Learning Optimal Feature Interaction Methods for CTR Prediction3 Aug 2021
- 2021Leaf-FM: A Learnable Feature Generation Factorization Machine for Click-Through Rate Prediction26 Jul 2021
- 2021An Efficient Deep Distribution Network for Bid Shading in First-Price Auctions12 Jul 2021
50 newest of 59 All 59 (JSON)
- 2021End-to-End User Behavior Retrieval in Click-Through RatePrediction Modelcited by 45
- 2021Deep Learning for Click-Through Rate Estimationcited by 33
- 2021FM2: Field-matrixed Factorization Machines for Recommender Systemscited by 31
- 2022Click-Through Rate Prediction in Online Advertising: A Literature Reviewcited by 31
- 2023On the Embedding Collapse when Scaling up Recommendation Modelscited by 29
- 2023STEM: Unleashing the Power of Embeddings for Multi-task Recommendationcited by 19
- 2021User Response Prediction in Online Advertisingcited by 15
- 2021An Efficient Deep Distribution Network for Bid Shading in First-Price Auctionscited by 14
- 2022CL4CTR: A Contrastive Learning Framework for CTR Predictioncited by 14
- 2021Learning Graph Meta Embeddings for Cold-Start Ads in Click-Through Rate Predictioncited by 13
- 2024Ads Recommendation in a Collapsed and Entangled Worldcited by 13
- 2021Memorize, Factorize, or be Na"ive: Learning Optimal Feature Interaction Methods for CTR Predictioncited by 12
12 most cited of 55 All 55 (JSON)
- 2026SpecFormer: Mitigating Embedding and Attention Collapse via Spectral-Aware Transformer for Recommendation27 Jul 2026
- 2026Context Features Are Cheap: Rank-Aware Decomposition for Efficient Feature Interaction in Recommender Systems24 May 2026
- 2026Understanding DNNs in Feature Interaction Models: A Dimensional Collapse Perspective29 Apr 2026
- 2026TokenFormer: Unify the Multi-Field and Sequential Recommendation Worlds15 Apr 2026
- 2026tensorFM: Low-Rank Approximations of Cross-Order Feature Interactions16 Feb 2026
- 2026Distribution-Aware End-to-End Embedding for Streaming Numerical Features in Click-Through Rate Prediction3 Feb 2026
- 2025Toward a benchmark for CTR prediction in online advertising: datasets, evaluation protocols and perspectives1 Dec 2025
- 2025MATT-CTR: Unleashing a Model-Agnostic Test-Time Paradigm for CTR Prediction with Confidence-Guided Inference Paths10 Oct 2025
- 2025On Predicting Post-Click Conversion Rate via Counterfactual Inference6 Oct 2025
- 2025Learning Concave Bid Shading Strategies in Online Auctions via Measure-valued Proximal Optimization12 Sep 2025
- 2025Large Foundation Model for Ads Recommendation20 Aug 2025
- 2025DCN^2: Interplay of Implicit Collision Weights and Explicit Cross Layers for Large-Scale Recommendation24 Jun 2025
12 newest of 55 All 55 (JSON)