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Ranking is a key aspect of many applications, such as information retrieval, question answering, ad placement and recommender systems. Learning to rank has the goal of estimating a ranking model automatically from training data. In…

Information Retrieval · Computer Science 2015-02-10 Truyen Tran , Dinh Phung , Svetha Venkatesh

We propose a loop optimization algorithm based on nuclear norm regularization for tensor network. The key ingredient of this scheme is to introduce a rank penalty term proposed in the context of data processing. Compared to standard…

Statistical Mechanics · Physics 2024-11-07 Kenji Homma , Tsuyoshi Okubo , Naoki Kawashima

In this work, we propose a new randomized algorithm for computing a low-rank approximation to a given matrix. Taking an approach different from existing literature, our method first involves a specific biased sampling, with an element being…

Data Structures and Algorithms · Computer Science 2014-10-16 Srinadh Bhojanapalli , Prateek Jain , Sujay Sanghavi

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

We propose a method for automatically generating abstract transformers for static analysis by abstract interpretation. The method focuses on linear constraints on programs operating on rational, real or floating-point variables and…

Programming Languages · Computer Science 2010-07-28 David Monniaux

In formal argumentation, a distinction can be made between extension-based semantics, where sets of arguments are either (jointly) accepted or not, and ranking-based semantics, where grades of acceptability are assigned to arguments.…

Artificial Intelligence · Computer Science 2023-08-01 Jesse Heyninck , Badran Raddaoui , Christian Straßer

In this article, a new concept of LR-type interval-valued intuitionistic fuzzy numbers (LR-type IVIFN) has been introduced. The theory has also been enriched by demonstrating diagrammatic representations of LR-type IVIFNs and establishing…

Optimization and Control · Mathematics 2023-01-19 Manisha Malik , S. K. Gupta , Manuel Arana-Jiménez

Large Language Model (LLM) based listwise ranking has shown superior performance in many passage ranking tasks. With the development of Large Reasoning Models (LRMs), many studies have demonstrated that step-by-step reasoning during…

Information Retrieval · Computer Science 2026-04-23 Wenhan Liu , Xinyu Ma , Weiwei Sun , Yutao Zhu , Yuchen Li , Dawei Yin , Zhicheng Dou

Probabilistic programs extend classical imperative programs with real-valued random variables and random branching. The most basic liveness property for such programs is the termination property. The qualitative (aka almost-sure)…

Programming Languages · Computer Science 2017-09-14 Sheshansh Agrawal , Krishnendu Chatterjee , Petr Novotný

The task of reconstructing a matrix given a sample of observedentries is known as the matrix completion problem. It arises ina wide range of problems, including recommender systems, collaborativefiltering, dimensionality reduction, image…

Statistics Theory · Mathematics 2014-12-20 Jean Lafond , Olga Klopp , Eric Moulines , Jospeh Salmon

The existing search engines sometimes give unsatisfactory search result for lack of any categorization of search result. If there is some means to know the preference of user about the search result and rank pages according to that…

Information Retrieval · Computer Science 2011-02-04 Debajyoti Mukhopadhyay , Pradipta Biswas , Young-Chon Kim

Choice behavior and preferences typically involve numerous and subjective aspects that are difficult to be identified and quantified. For this reason, their exploration is frequently conducted through the collection of ordinal evidence in…

Methodology · Statistics 2018-10-10 Cristina Mollica , Luca Tardella

Learning-to-rank (LTR) is a set of supervised machine learning algorithms that aim at generating optimal ranking order over a list of items. A lot of ranking models have been studied during the past decades. And most of them treat each…

Information Retrieval · Computer Science 2020-06-09 RuiXing Wang , Kuan Fang , RiKang Zhou , Zhan Shen , LiWen Fan

This paper shows how techniques for linear dynamical systems can be used to reason about the behavior of general loops. We present two main results. First, we show that every loop that can be expressed as a transition formula in linear…

Programming Languages · Computer Science 2021-05-31 Shaowei Zhu , Zachary Kincaid

In search settings, calibrating the scores during the ranking process to quantities such as click-through rates or relevance levels enhances a system's usefulness and trustworthiness for downstream users. While previous research has…

Information Retrieval · Computer Science 2024-08-28 Puxuan Yu , Daniel Cohen , Hemank Lamba , Joel Tetreault , Alex Jaimes

Recently, large language models (LLMs) have exhibited significant progress in language understanding and generation. By leveraging textual features, customized LLMs are also applied for recommendation and demonstrate improvements across…

Information Retrieval · Computer Science 2023-11-07 Zhenrui Yue , Sara Rabhi , Gabriel de Souza Pereira Moreira , Dong Wang , Even Oldridge

In this paper we consider a general matrix factorization model which covers a large class of existing models with many applications in areas such as machine learning and imaging sciences. To solve this possibly nonconvex, nonsmooth and…

Optimization and Control · Mathematics 2018-05-16 Lei Yang , Ting Kei Pong , Xiaojun Chen

We present a unified deductive verification framework for first-order temporal properties based on well-founded rankings, where verification conditions are discharged using SMT solvers. To that end, we introduce a novel reduction from…

Logic in Computer Science · Computer Science 2026-01-21 Raz Lotan , Neta Elad , Oded Padon , Sharon Shoham

Deriving a representative model using value function-based methods from the perspective of preference disaggregation has emerged as a prominent and growing topic in multi-criteria sorting (MCS) problems. A noteworthy observation is that…

Artificial Intelligence · Computer Science 2024-09-04 Zhen Zhang , Zhuolin Li , Wenyu Yu

Classical latent-score ranking models often fail to distinguish objects' intrinsic scores from contextual effects, which are typically nonlinear and can dominate the observed outcomes. To address this, we introduce a semiparametric ranking…

Methodology · Statistics 2026-04-22 Yuanhang Luo , Shuxing Fang , Ruijian Han , Yiming Xu