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Understanding the Sparsity: Augmented Matrix Factorization with Sampled Constraints on Unobservables

Published: 03 November 2014 Publication History

Abstract

An important problem of matrix completion/approximation based on Matrix Factorization (MF) algorithms is the existence of multiple global optima; this problem is especially serious when the matrix is sparse, which is common in real-world applications such as personalized recommender systems. In this work, we clarify data sparsity by bounding the solution space of MF algorithms. We present the conditions that an MF algorithm should satisfy for reliable completion of the unobservables, and we further propose to augment current MF algorithms with extra constraints constructed by compressive sampling on the unobserved values, which is well-motivated by the theoretical analysis. Model learning and optimal solution searching is conducted in a properly reduced solution space to achieve more accurate and efficient rating prediction performances. We implemented the proposed algorithms in the Map-Reduce framework, and comprehensive experimental results on Yelp and Dianping datasets verified the effectiveness and efficiency of the augmented matrix factorization algorithms.

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cover image ACM Conferences
CIKM '14: Proceedings of the 23rd ACM International Conference on Conference on Information and Knowledge Management
November 2014
2152 pages
ISBN:9781450325981
DOI:10.1145/2661829
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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Publication History

Published: 03 November 2014

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Author Tags

  1. collaborative filtering
  2. compressed sensing
  3. matrix factorization
  4. optimization
  5. recommender systems

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CIKM '14 Paper Acceptance Rate 175 of 838 submissions, 21%;
Overall Acceptance Rate 1,861 of 8,427 submissions, 22%

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Cited By

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  • (2024)EditKG: Editing Knowledge Graph for RecommendationProceedings of the 47th International ACM SIGIR Conference on Research and Development in Information Retrieval10.1145/3626772.3657723(112-122)Online publication date: 10-Jul-2024
  • (2021)CSR 2021: The 1st International Workshop on Causality in Search and RecommendationProceedings of the 44th International ACM SIGIR Conference on Research and Development in Information Retrieval10.1145/3404835.3462817(2677-2680)Online publication date: 11-Jul-2021
  • (2016)Rating-boosted latent topicsProceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence10.5555/3060832.3060990(2640-2646)Online publication date: 9-Jul-2016
  • (2016)Weight Adjusment for Multi-criteria Ratings in Items RecommendationProceedings of the 22nd Brazilian Symposium on Multimedia and the Web10.1145/2976796.2976846(319-326)Online publication date: 8-Nov-2016
  • (2016)Economic Recommendation with Surplus MaximizationProceedings of the 25th International Conference on World Wide Web10.1145/2872427.2882973(73-83)Online publication date: 11-Apr-2016
  • (2015)Improving Collaborative Filtering via Hidden Structured ConstraintProceedings of the 24th ACM International on Conference on Information and Knowledge Management10.1145/2806416.2806623(1935-1938)Online publication date: 17-Oct-2015
  • (2015)Daily-Aware Personalized Recommendation based on Feature-Level Time Series AnalysisProceedings of the 24th International Conference on World Wide Web10.1145/2736277.2741087(1373-1383)Online publication date: 18-May-2015
  • (2015)Incorporating Phrase-level Sentiment Analysis on Textual Reviews for Personalized RecommendationProceedings of the Eighth ACM International Conference on Web Search and Data Mining10.1145/2684822.2697033(435-440)Online publication date: 2-Feb-2015

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