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We propose the Heterogeneous Thurstone Model (HTM) for aggregating ranked data, which can take the accuracy levels of different users into account. By allowing different noise distributions, the proposed HTM model maintains the generality…

Machine Learning · Computer Science 2019-12-04 Tao Jin , Pan Xu , Quanquan Gu , Farzad Farnoud

Pairwise ranking models have been widely used to address recommendation problems. The basic idea is to learn the rank of users' preferred items through separating items into \emph{positive} samples if user-item interactions exist, and…

Information Retrieval · Computer Science 2020-09-09 Lu Yu , Shichao Pei , Chuxu Zhang , Shangsong Liang , Xiao Bai , Nitesh Chawla , Xiangliang Zhang

This paper studies the consistency of the kernel-based neural ranking model K-NRM, a recent state-of-the-art neural IR model, which is important for reproducible research and deployment in the industry. We find that K-NRM has low variance…

Information Retrieval · Computer Science 2018-09-28 Mary Arpita Pyreddy , Varshini Ramaseshan , Narendra Nath Joshi , Zhuyun Dai , Chenyan Xiong , Jamie Callan , Zhiyuan Liu

Learning to Rank (LTR) technique is ubiquitous in the Information Retrieval system nowadays, especially in the Search Ranking application. The query-item relevance labels typically used to train the ranking model are often noisy…

Information Retrieval · Computer Science 2022-07-11 Debabrata Mahapatra , Chaosheng Dong , Yetian Chen , Deqiang Meng , Michinari Momma

Incomplete pairwise comparison matrices offer a natural way of expressing preferences in decision making processes. Although ordinal information is crucial, there is a bias in the literature: cardinal models dominate. Ordinal models usually…

Optimization and Control · Mathematics 2020-12-15 Luca Faramondi , Gabriele Oliva , Sándor Bozóki

Spectral estimation (SE) aims to identify how the energy of a signal (e.g., a time series) is distributed across different frequencies. This can become particularly challenging when only partial and noisy observations of the signal are…

Machine Learning · Statistics 2019-01-15 Felipe Tobar

We discuss efficient methods for unranking derangements and m\'enage permutations. That is, we will provide an algorithm to efficiently extract the $k$-th earliest such permutation under the lexicographic ordering. We will show that this…

Combinatorics · Mathematics 2025-09-30 Peter Kagey

In this paper we consider the trace regression model. Assume that we observe a small set of entries or linear combinations of entries of an unknown matrix $A_0$ corrupted by noise. We propose a new rank penalized estimator of $A_0$. For…

Statistics Theory · Mathematics 2011-09-14 Olga Klopp

In this paper, we tackle the problem of computing a sequence of rankings with the guarantee of the Pareto-optimal balance between (1) maximizing the utility of the consumers and (2) minimizing unfairness between producers of the items. Such…

Information Retrieval · Computer Science 2024-02-23 Phuong Dinh Mai , Duc-Trong Le , Tuan-Anh Hoang , Dung D. Le

In recent years, it has become clear that rankings delivered in many areas need not only be useful to the users but also respect fairness of exposure for the item producers. We consider the problem of finding ranking policies that achieve a…

Information Retrieval · Computer Science 2022-05-17 Till Kletti , Jean-Michel Renders , Patrick Loiseau

Ranking problems based on pairwise comparisons, such as those arising in online gaming, often involve a large pool of items to order. In these situations, the gap in performance between any two items can be significant, and the smallest and…

Statistics Theory · Mathematics 2022-06-16 Heejong Bong , Alessandro Rinaldo

In this work, we take a closer look at the evaluation of two families of methods for enriching information from knowledge graphs: Link Prediction and Entity Alignment. In the current experimental setting, multiple different scores are…

Machine Learning · Computer Science 2023-09-21 Max Berrendorf , Evgeniy Faerman , Laurent Vermue , Volker Tresp

Rotation averaging (RA) is a fundamental problem in robotics and computer vision. In RA, the goal is to estimate a set of $N$ unknown orientations $R_{1}, ..., R_{N} \in SO(3)$, given noisy measurements $R_{ij} \sim R^{-1}_{i} R_{j}$ of a…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Owen Howell , Haoen Huang , David Rosen

Ranking is one of the most fundamental problems in machine learning with applications in many branches of computer science such as: information retrieval systems, recommendation systems, machine translation and computational biology.…

Data Structures and Algorithms · Computer Science 2015-04-07 Krzysztof Choromanski

In this paper, we study the convergence of the spectral embeddings obtained from the leading eigenvectors of certain similarity matrices to their population counterparts. We opt to study this convergence in a uniform (instead of average)…

Statistics Theory · Mathematics 2023-04-26 Ruofei Zhao , Songkai Xue , Yuekai Sun

The Mallows model occupies a central role in parametric modelling of ranking data to learn preferences of a population of judges. Despite the wide range of metrics for rankings that can be considered in the model specification, the choice…

Methodology · Statistics 2022-09-21 Marta Crispino , Cristina Mollica , Valerio Astuti , Luca Tardella

Noisy matrix completion has attracted significant attention due to its applications in recommendation systems, signal processing and image restoration. Most existing works rely on (weighted) least squares methods under various low-rank…

Machine Learning · Statistics 2024-12-17 Ziyuan Chen , Fang Yao

Learning-to-Rank (LTR) is a supervised machine learning approach that constructs models specifically designed to order a set of items or documents based on their relevance or importance to a given query or context. Despite significant…

Information Retrieval · Computer Science 2026-04-17 Camilo Gomez , Pengyang Wang , Yanjie Fu

Ranked search results have become the main mechanism by which we find content, products, places, and people online. Thus their ordering contributes not only to the satisfaction of the searcher, but also to career and business opportunities,…

Information Retrieval · Computer Science 2020-05-28 Meike Zehlike , Carlos Castillo

This paper concerns with statistical estimation and inference for the ranking problems based on pairwise comparisons with additional covariate information such as the attributes of the compared items. Despite extensive studies, few prior…

Methodology · Statistics 2024-03-26 Jianqing Fan , Jikai Hou , Mengxin Yu