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Related papers: Ranking via Sinkhorn Propagation

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In recent years, saliency ranking has emerged as a challenging task focusing on assessing the degree of saliency at instance-level. Being subjective, even humans struggle to identify the precise order of all salient instances. Previous…

Computer Vision and Pattern Recognition · Computer Science 2023-08-02 Chengxiao Sun , Yan Xu , Jialun Pei , Haopeng Fang , He Tang

We propose a custom learning algorithm for shallow over-parameterized neural networks, i.e., networks with single hidden layer having infinite width. The infinite width of the hidden layer serves as an abstraction for the…

Machine Learning · Computer Science 2023-12-19 Alexis Teter , Iman Nodozi , Abhishek Halder

PageRank (PR) is an algorithm originally developed by Google to evaluate the importance of web pages. Considering how deeply rooted Google's PR algorithm is to gathering relevant information or to the success of modern businesses, the…

Physics and Society · Physics 2012-12-10 Seung-Woo Son , Claire Christensen , Peter Grassberger , Maya Paczuski

We introduce the problem of ranking with slot constraints, which can be used to model a wide range of application problems -- from college admission with limited slots for different majors, to composing a stratified cohort of eligible…

Information Retrieval · Computer Science 2023-10-30 Wentao Guo , Andrew Wang , Bradon Thymes , Thorsten Joachims

A recent breakthrough in Edmonds' problem showed that the noncommutative rank can be computed in deterministic polynomial time, and various algorithms for it were devised. However, only quite complicated algorithms are known for finding a…

Data Structures and Algorithms · Computer Science 2022-07-19 Cole Franks , Tasuku Soma , Michel X. Goemans

Representations are fundamental to artificial intelligence. The performance of a learning system depends on the type of representation used for representing the data. Typically, these representations are hand-engineered using domain…

Machine Learning · Computer Science 2017-04-28 Vivek Veeriah , Shangtong Zhang , Richard S. Sutton

We consider a class of statistical inverse problems involving the estimation of a regression operator from a Polish space to a separable Hilbert space, where the target lies in a vector-valued reproducing kernel Hilbert space induced by an…

Machine Learning · Statistics 2026-04-28 Jia-Qi Yang , Lei Shi

We consider a preference learning setting where every participant chooses an ordered list of $k$ most preferred items among a displayed set of candidates. (The set can be different for every participant.) We identify a distance-based…

Machine Learning · Computer Science 2023-01-24 Yifan Feng , Yuxuan Tang

For deterministic optimization, line-search methods augment algorithms by providing stability and improved efficiency. We adapt a classical backtracking Armijo line-search to the stochastic optimization setting. While traditional…

Optimization and Control · Mathematics 2018-07-24 Courtney Paquette , Katya Scheinberg

Self-supervised representation learning has seen remarkable progress in the last few years, with some of the recent methods being able to learn useful image representations without labels. These methods are trained using backpropagation,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Jonas Brenig , Radu Timofte

We study the problem of collaborative filtering where ranking information is available. Focusing on the core of the collaborative ranking process, the user and their community, we propose new models for representation of the underlying…

Information Retrieval · Computer Science 2014-07-24 Truyen Tran , Svetha Venkatesh

A large-scale recommender system usually consists of recall and ranking modules. The goal of ranking modules (aka rankers) is to elaborately discriminate users' preference on item candidates proposed by recall modules. With the success of…

Information Retrieval · Computer Science 2022-05-24 Xinyan Fan , Jianxun Lian , Wayne Xin Zhao , Zheng Liu , Chaozhuo Li , Xing Xie

Online learning to rank is a sequential decision-making problem where in each round the learning agent chooses a list of items and receives feedback in the form of clicks from the user. Many sample-efficient algorithms have been proposed…

Machine Learning · Statistics 2019-03-20 Tor Lattimore , Branislav Kveton , Shuai Li , Csaba Szepesvari

Learning to rank (LTR) is widely employed in web searches to prioritize pertinent webpages from retrieved content based on input queries. However, traditional LTR models encounter two principal obstacles that lead to suboptimal performance:…

Information Retrieval · Computer Science 2024-09-26 Yuchen Li , Haoyi Xiong , Linghe Kong , Jiang Bian , Shuaiqiang Wang , Guihai Chen , Dawei Yin

We propose a new model for supervised learning to rank. In our model, the relevance labels are assumed to follow a categorical distribution whose probabilities are constructed based on a scoring function. We optimize the training objective…

Machine Learning · Computer Science 2020-02-19 Siamak Zamani Dadaneh , Shahin Boluki , Mingyuan Zhou , Xiaoning Qian

Optimal transport (OT) has enjoyed great success in machine learning as a principled way to align datasets via a least-cost correspondence, driven in large part by the runtime efficiency of the Sinkhorn algorithm (Cuturi, 2013). However,…

Machine Learning · Computer Science 2025-08-19 Peter Halmos , Julian Gold , Xinhao Liu , Benjamin J. Raphael

The classical linear ordering problem seeks a single ranking representing a given preference matrix. While suitable for homogeneous populations, it fails when observed preferences arise from several latent groups with distinct ranking…

Optimization and Control · Mathematics 2026-05-15 Juan A. Aledo , Concepción Domínguez , Juan de Dios Jaime-Alcántara , Mercedes Landete

Dictionary learning aims to find a dictionary that can sparsely represent the training data. Methods in the literature typically formulate the dictionary learning problem as an optimisation with respect to two variables, i.e., dictionary…

Signal Processing · Electrical Eng. & Systems 2019-11-21 Cheng Cheng , Wei Dai

We consider expected risk minimization problems when the range of the estimator is required to be nonnegative, motivated by the settings of maximum likelihood estimation (MLE) and trajectory optimization. To facilitate nonlinear…

Machine Learning · Statistics 2022-05-05 Abhishek Chakraborty , Ketan Rajawat , Alec Koppel

Randomized methods of neural network learning suffer from a problem with the generation of random parameters as they are difficult to set optimally to obtain a good projection space. The standard method draws the parameters from a fixed…

Machine Learning · Computer Science 2019-08-13 Grzegorz Dudek
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