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Spectral clustering is one of the most popular clustering algorithms that has stood the test of time. It is simple to describe, can be implemented using standard linear algebra, and often finds better clusters than traditional clustering…

Machine Learning · Computer Science 2023-05-12 Timothy Chu , Gary Miller , Noel Walkington

We propose a theoretical framework under which preference profiles can be meaningfully compared. Specifically, given a finite set of feasible allocations and a preference profile, we first define a ranking vector of an allocation as the…

Theoretical Economics · Economics 2023-04-11 Wayne Yuan Gao

Bipartite ranking, which aims to learn a scoring function that ranks positive individuals higher than negative ones from labeled data, is widely adopted in various applications where sample prioritization is needed. Recently, there have…

Machine Learning · Computer Science 2021-06-08 Sen Cui , Weishen Pan , Changshui Zhang , Fei Wang

In this paper, we propose a new algorithm for exploratory projection pursuit. The basis of the algorithm is the insight that previous approaches used fairly narrow definitions of interestingness / non interestingness. We argue that allowing…

Methodology · Statistics 2011-12-20 Mohit Dayal

The peer-review process is the most widely accepted certification mechanism for officially accepting the written results of researchers within the scientific community. An essential component of peer-review is the identification of…

Digital Libraries · Computer Science 2008-12-02 Marko A. Rodriguez , Johan Bollen

In the construction of low-rank matrix approximation and maximum element search it is effective to use maxvol algorithm. Nevertheless, even in the case of rank 1 approximation the algorithm does not always converge to the maximum matrix…

Numerical Analysis · Mathematics 2023-09-04 Alexander Osinsky

Selecting from or ranking a set of candidates variables in terms of their capacity for predicting an outcome of interest is an important task in many scientific fields. A variety of methods for variable selection and ranking have been…

Methodology · Statistics 2023-08-23 Zhou Tang , Ted Westling

Pseudospectra and structured pseudospectra are important tools for the analysis of matrices. Their computation, however, can be very demanding for all but small matrices. A new approach to compute approximations of pseudospectra and…

Numerical Analysis · Mathematics 2016-11-16 Silvia Noschese , Lothar Reichel

We propose a clustering-based generalized low rank approximation method, which takes advantage of appealing features from both the generalized low rank approximation of matrices (GLRAM) and cluster analysis. It exploits a more general form…

Optimization and Control · Mathematics 2025-02-21 Yujun Zhu , Jie Zhu , Hizba Arshad , Zhongming Wang , Ju Ming

This paper investigates two feature-scoring criteria that make use of estimated class probabilities: one method proposed by \citet{shen} and a complementary approach proposed below. We develop a theoretical framework to analyze each…

Machine Learning · Computer Science 2012-07-03 Andrea Danyluk , Nicholas Arnosti

The goal of text ranking is to generate an ordered list of texts retrieved from a corpus in response to a query. Although the most common formulation of text ranking is search, instances of the task can also be found in many natural…

Information Retrieval · Computer Science 2021-08-20 Jimmy Lin , Rodrigo Nogueira , Andrew Yates

A ranking is an ordered sequence of items, in which an item with higher ranking score is more preferred than the items with lower ranking scores. In many information systems, rankings are widely used to represent the preferences over a set…

Artificial Intelligence · Computer Science 2017-09-22 Zhiwei Lin , Yi Li , Xiaolian Guo

Ranking models have achieved promising results, but it remains challenging to design personalized ranking systems to leverage user profiles and semantic representations between queries and documents. In this paper, we propose a topic-based…

Information Retrieval · Computer Science 2021-08-16 Minghui Huang , Wei Peng , Dong Wang

Resource allocation and scheduling are a common problem in various distributed systems. Although widely studied, the state-of-the-art solutions either do not scale or lack the expressive power to capture the most complex instances of the…

Data Structures and Algorithms · Computer Science 2025-06-03 Rajpreet Singh , Novak Boškov , Aditya Gudal , Manzoor A. Khan

Adaptive nuclear-norm penalization is proposed for low-rank matrix approximation, by which we develop a new reduced-rank estimation method for the general high-dimensional multivariate regression problems. The adaptive nuclear norm of a…

Methodology · Statistics 2012-09-25 Kun Chen , Hongbo Dong , Kung-Sik Chan

We propose RoBiRank, a ranking algorithm that is motivated by observing a close connection between evaluation metrics for learning to rank and loss functions for robust classification. The algorithm shows a very competitive performance on…

Machine Learning · Statistics 2014-08-22 Hyokun Yun , Parameswaran Raman , S. V. N. Vishwanathan

This paper studies the performance of the spectral method in the estimation and uncertainty quantification of the unobserved preference scores of compared entities in a general and more realistic setup. Specifically, the comparison graph…

Methodology · Statistics 2024-03-04 Jianqing Fan , Zhipeng Lou , Weichen Wang , Mengxin Yu

In implicit collaborative filtering, hard negative mining techniques are developed to accelerate and enhance the recommendation model learning. However, the inadvertent selection of false negatives remains a major concern in hard negative…

Information Retrieval · Computer Science 2024-03-29 Kexin Shi , Jing Zhang , Linjiajie Fang , Wenjia Wang , Bingyi Jing

We introduce the concept of \emph{expected exposure} as the average attention ranked items receive from users over repeated samples of the same query. Furthermore, we advocate for the adoption of the principle of equal expected exposure:…

Information Retrieval · Computer Science 2020-10-22 Fernando Diaz , Bhaskar Mitra , Michael D. Ekstrand , Asia J. Biega , Ben Carterette

We consider spectral approaches to the problem of ranking n players given their incomplete and noisy pairwise comparisons, but revisit this classical problem in light of player covariate information. We propose three spectral ranking…

Machine Learning · Statistics 2022-04-07 Siu Lun Chau , Mihai Cucuringu , Dino Sejdinovic
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