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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

Gene set collections are a common ground to study the enrichment of genes for specific phenotypic traits. Gene set enrichment analysis aims to identify genes that are over-represented in gene sets collections and might be associated with a…

Genomics · Quantitative Biology 2022-07-26 Chiara Balestra , Carlo Maj , Emmanuel Mueller , Andreas Mayr

Submodular maximization has been the backbone of many important machine-learning problems, and has applications to viral marketing, diversification, sensor placement, and more. However, the study of maximizing submodular functions has…

Data Structures and Algorithms · Computer Science 2022-05-02 Guangyi Zhang , Nikolaj Tatti , Aristides Gionis

Large language models (LLMs) have recently shown strong reasoning abilities in domains like mathematics, coding, and scientific problem-solving, yet their potential for ranking tasks, where prime examples include retrieval, recommender…

Information Retrieval · Computer Science 2025-10-17 Tao Feng , Zhigang Hua , Zijie Lei , Yan Xie , Shuang Yang , Bo Long , Jiaxuan You

In this paper, we introduce Rank-R1, a novel LLM-based reranker that performs reasoning over both the user query and candidate documents before performing the ranking task. Existing document reranking methods based on large language models…

Information Retrieval · Computer Science 2025-03-11 Shengyao Zhuang , Xueguang Ma , Bevan Koopman , Jimmy Lin , Guido Zuccon

At the present time, sequential item recommendation models are compared by calculating metrics on a small item subset (target set) to speed up computation. The target set contains the relevant item and a set of negative items that are…

Information Retrieval · Computer Science 2021-07-29 Alexander Dallmann , Daniel Zoller , Andreas Hotho

Ranking, and inferences based on ranking of a set of entities, are important problems in numerous contexts. This is especially true in small area statistics where there may be only a limited amount of directly observed data from each entity…

Methodology · Statistics 2025-11-26 Snigdhansu Chatterjee , Gauri Sankar Datta , Yiren Hou , Abhyuday Mandal

Text-guided image retrieval is to incorporate conditional text to better capture users' intent. Traditionally, the existing methods focus on minimizing the embedding distances between the source inputs and the targeted image, using the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-17 Junyang Chen , Hanjiang Lai

Distributed representations of words have shown to be useful to improve the effectiveness of IR systems in many sub-tasks like query expansion, retrieval and ranking. Algorithms like word2vec, GloVe and others are also key factors in many…

Information Retrieval · Computer Science 2019-09-05 Tommaso Teofili , Niyati Chhaya

Ranking passages by prompting a large language model (LLM) can achieve promising performance in modern information retrieval (IR) systems. A common approach to sort the ranking list is by prompting LLMs for a pairwise or setwise comparison…

Information Retrieval · Computer Science 2024-11-27 Yifan Zeng , Ojas Tendolkar , Raymond Baartmans , Qingyun Wu , Lizhong Chen , Huazheng Wang

This paper introduces a novel incremental preference elicitation-based approach to learning potentially non-monotonic preferences in multi-criteria sorting (MCS) problems, enabling decision makers to progressively provide assignment example…

Artificial Intelligence · Computer Science 2024-09-05 Zhuolin Li , Zhen Zhang , Witold Pedrycz

As the issue of robustness in AI systems becomes vital, statistical learning techniques that are reliable even in presence of partly contaminated data have to be developed. Preference data, in the form of (complete) rankings in the simplest…

Machine Learning · Computer Science 2023-03-24 Morgane Goibert , Clément Calauzènes , Ekhine Irurozki , Stéphan Clémençon

We consider sequential or active ranking of a set of n items based on noisy pairwise comparisons. Items are ranked according to the probability that a given item beats a randomly chosen item, and ranking refers to partitioning the items…

Machine Learning · Computer Science 2016-09-26 Reinhard Heckel , Nihar B. Shah , Kannan Ramchandran , Martin J. Wainwright

Manifold ranking has been successfully applied in query-oriented multi-document summarization. It not only makes use of the relationships among the sentences, but also the relationships between the given query and the sentences. However,…

Information Retrieval · Computer Science 2021-08-30 Quanye Jia , Rui Liu , Jianying Lin

Confronted with the challenge of identifying the most suitable metric to validate the merits of newly proposed models, the decision-making process is anything but straightforward. Given that comparing rankings introduces its own set of…

Information Retrieval · Computer Science 2024-08-30 Chiara Balestra , Andreas Mayr , Emmanuel Müller

Rank and select queries on bitmaps are essential building bricks of many compressed data structures, including text indexes, membership and range supporting spatial data structures, compressed graphs, and more. Theoretically considered yet…

Data Structures and Algorithms · Computer Science 2016-05-13 Szymon Grabowski , Marcin Raniszewski

This paper obtains a completeness result for inequational reasoning with applicative terms without variables in a setting where the intended semantic models are the full structures, the full type hierarchies over preorders for the base…

Logic in Computer Science · Computer Science 2022-02-18 Lawrence S. Moss , Thomas F. Icard

Let $W_{k,n}^{i}(m)$ denote a matrix with rows and columns indexed by the $k$-subsets and $n$-subsets, respectively, of an $m$-element set. The row $S$, column $T$ entry of $W_{k,n}^{i}(m)$ is $1$ if $|S \cap T| = i$, and is $0$ otherwise.…

Combinatorics · Mathematics 2023-05-09 Joshua E. Ducey , Colby J. Sherwood

We study a submodular maximization problem motivated by applications in online retail. A platform displays a list of products to a user in response to a search query. The user inspects the first $k$ items in the list for a $k$ chosen at…

Computer Science and Game Theory · Computer Science 2022-10-24 Arash Asadpour , Rad Niazadeh , Amin Saberi , Ali Shameli

Ranking or assessing centrality in multivariate and non-Euclidean data is difficult because there is no canonical order and many depth notions become computationally fragile in high-dimensional or structured settings. We introduce a…

Methodology · Statistics 2026-02-24 Lingfeng Lyu , Doudou Zhou