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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 algorithms find extensive usage in diverse areas such as web search, employment, college admission, voting, etc. The related rank aggregation problem deals with combining multiple rankings into a single aggregate ranking. However,…

Data Structures and Algorithms · Computer Science 2023-08-22 Diptarka Chakraborty , Syamantak Das , Arindam Khan , Aditya Subramanian

Low-rank regularization (LRR) has been widely applied in various machine learning tasks, but the associated optimization is challenging. Directly optimizing the rank function under constraints is NP-hard in general. To overcome this…

Machine Learning · Computer Science 2025-05-22 Naiqi Li , Yuqiu Xie , Peiyuan Liu , Tao Dai , Yong Jiang , Shu-Tao Xia

Regularized models have been applied in lots of areas, with high-dimensional data sets being popular. Because tuning parameter decides the theoretical performance and computational efficiency of the regularized models, tuning parameter…

Methodology · Statistics 2024-05-14 Pan Shang , Lingchen Kong , Yiting Ma

In this paper, we propose a novel ranking framework for collaborative filtering with the overall aim of learning user preferences over items by minimizing a pairwise ranking loss. We show the minimization problem involves dependent random…

Assessors make preference judgments faster and more consistently than graded judgments. Preference judgments can also recognize distinctions between items that appear equivalent under graded judgments. Unfortunately, preference judgments…

Information Retrieval · Computer Science 2021-02-15 Charles L. A. Clarke , Alexandra Vtyurina , Mark D. Smucker

The well-studied problem of statistical rank aggregation has been applied to comparing sports teams, information retrieval, and most recently to data generated by human judgment. Such human-generated rankings may be substantially different…

Information Retrieval · Computer Science 2014-11-05 Andrew Mao , Hossein Azari Soufiani , Yiling Chen , David C. Parkes

The label ranking problem is a supervised learning scenario in which the learner predicts a total order of the class labels for a given input instance. Recently, research has increasingly focused on the partial label ranking problem, a…

Machine Learning · Computer Science 2025-10-24 Jiayi Wang , Juan C. Alfaro , Viktor Bengs

Following recent successes in exploiting both latent factor and word embedding models in recommendation, we propose a novel Regularized Multi-Embedding (RME) based recommendation model that simultaneously encapsulates the following ideas…

Information Retrieval · Computer Science 2018-09-05 Thanh Tran , Kyumin Lee , Yiming Liao , Dongwon Lee

We present an item-based approach for collaborative filtering. We determine a list of recommended items for a user by considering their previous purchases. Additionally other features of the users could be considered such as page views,…

Information Retrieval · Computer Science 2011-01-18 Fabrizio Caruso , Giovanni Giuffrida , Calogero Zarba

This paper studies ranking policies in a stylized trial-offer marketplace model, in which a single firm offers products and has consumers with heterogeneous preferences. Consumer trials are influenced by past purchases and the ranking of…

Social and Information Networks · Computer Science 2021-02-11 Franco Berbeglia , Gerardo Berbeglia , Pascal Van Hentenryck

With the growing size of data sets, feature selection becomes increasingly important. Taking interactions of original features into consideration will lead to extremely high dimension, especially when the features are categorical and…

Databases · Computer Science 2021-04-13 Qiuqiang Lin , Chuanhou Gao

We describe novel subgradient methods for a broad class of matrix optimization problems involving nuclear norm regularization. Unlike existing approaches, our method executes very cheap iterations by combining low-rank stochastic…

Machine Learning · Computer Science 2012-07-03 Haim Avron , Satyen Kale , Shiva Kasiviswanathan , Vikas Sindhwani

Product ranking is the core problem for revenue-maximizing online retailers. To design proper product ranking algorithms, various consumer choice models are proposed to characterize the consumers' behaviors when they are provided with a…

Machine Learning · Computer Science 2023-01-03 Renzhe Xu , Xingxuan Zhang , Bo Li , Yafeng Zhang , Xiaolong Chen , Peng Cui

In classic reinforcement learning (RL) and decision making problems, policies are evaluated with respect to a scalar reward function, and all optimal policies are the same with regards to their expected return. However, many real-world…

Machine Learning · Computer Science 2023-11-02 Han Shao , Lee Cohen , Avrim Blum , Yishay Mansour , Aadirupa Saha , Matthew R. Walter

In this note, we examine the aggregation of preferences achieved by the Group Policy Optimisation (GRPO) algorithm, a reinforcement learning method used to train advanced artificial intelligence models such as DeepSeek-R1-Zero and…

Machine Learning · Computer Science 2025-03-14 Milan Vojnovic , Se-Young Yun

Nonconvex regularization has been popularly used in low-rank matrix learning. However, extending it for low-rank tensor learning is still computationally expensive. To address this problem, we develop an efficient solver for use with a…

Machine Learning · Computer Science 2022-05-09 Quanming Yao , Yaqing Wang , Bo Han , James Kwok

Emerging methods for participatory algorithm design have proposed collecting and aggregating individual stakeholder preferences to create algorithmic systems that account for those stakeholders' values. Using algorithmic student assignment…

Computers and Society · Computer Science 2020-07-15 Samantha Robertson , Niloufar Salehi

In this paper we model the problem of learning preferences of a population as an active learning problem. We propose an algorithm can adaptively choose pairs of items to show to users coming from a heterogeneous population, and use the…

Machine Learning · Statistics 2016-06-23 Aniruddha Bhargava , Ravi Ganti , Robert Nowak

How to rank web pages, scientists and online resources has recently attracted increasing attention from both physicists and computer scientists. In this paper, we study the ranking problem of rating systems where users vote objects by…

Information Retrieval · Computer Science 2010-01-14 Luo-Luo Jiang , Matus Medo , Joseph R. Wakeling , Yi-Cheng Zhang , Tao Zhou