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Ranking from Crowdsourced Pairwise Comparisons via Smoothed Riemannian Optimization

Published: 09 February 2020 Publication History

Abstract

Social Internet of Things has recently become a promising paradigm for augmenting the capability of humans and devices connected in the networks to provide services. In social Internet of Things network, crowdsourcing that collects the intelligence of the human crowd has served as a powerful tool for data acquisition and distributed computing. To support critical applications (e.g., a recommendation system and assessing the inequality of urban perception), in this article, we shall focus on the collaborative ranking problems for user preference prediction from crowdsourced pairwise comparisons. Based on the Bradley--Terry--Luce (BTL) model, a maximum likelihood estimation (MLE) is proposed via low-rank approach in order to estimate the underlying weight/score matrix, thereby predicting the ranking list for each user. A novel regularized formulation with the smoothed surrogate of elementwise infinity norm is proposed in order to address the unique challenge of the coupled the non-smooth elementwise infinity norm constraint and non-convex low-rank constraint in the MLE problem. We solve the resulting smoothed rank-constrained optimization problem via developing the Riemannian trust-region algorithm on quotient manifolds of fixed-rank matrices, which enjoys the superlinear convergence rate. The admirable performance and algorithmic advantages of the proposed method over the state-of-the-art algorithms are demonstrated via numerical results. Moreover, the proposed method outperforms state-of-the-art algorithms on large collaborative filtering datasets in both success rate of inferring preference and normalized discounted cumulative gain.

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  • (2024)CrowdDC: Ranking From Crowdsourced Paired Comparison With Divide-and-ConquerIEEE Transactions on Computational Social Systems10.1109/TCSS.2023.329663211:2(3015-3021)Online publication date: Apr-2024

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  1. Ranking from Crowdsourced Pairwise Comparisons via Smoothed Riemannian Optimization

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    cover image ACM Transactions on Knowledge Discovery from Data
    ACM Transactions on Knowledge Discovery from Data  Volume 14, Issue 2
    April 2020
    322 pages
    ISSN:1556-4681
    EISSN:1556-472X
    DOI:10.1145/3382774
    Issue’s Table of Contents
    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 ACM 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: 09 February 2020
    Accepted: 01 November 2019
    Revised: 01 September 2019
    Received: 01 January 2019
    Published in TKDD Volume 14, Issue 2

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    Author Tags

    1. Ranking
    2. crowdsourced data
    3. low-rank optimization
    4. pairwise comparison
    5. smoothed matrix manifold optimization
    6. social Internet of Things

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    • (2024)CrowdDC: Ranking From Crowdsourced Paired Comparison With Divide-and-ConquerIEEE Transactions on Computational Social Systems10.1109/TCSS.2023.329663211:2(3015-3021)Online publication date: Apr-2024

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