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This paper studies noisy low-rank matrix completion: given partial and noisy entries of a large low-rank matrix, the goal is to estimate the underlying matrix faithfully and efficiently. Arguably one of the most popular paradigms to tackle…

Machine Learning · Statistics 2019-10-08 Yuxin Chen , Yuejie Chi , Jianqing Fan , Cong Ma , Yuling Yan

Probabilistic models can learn users' preferences from the history of their item adoptions on a social media site, and in turn, recommend new items to users based on learned preferences. However, current models ignore psychological factors…

Information Retrieval · Computer Science 2013-11-07 Jeon-Hyung Kang , Kristina Lerman

A learner aims to minimize a function $f$ by repeatedly querying a distributed oracle that provides noisy gradient evaluations. At the same time, the learner seeks to hide $\arg\min f$ from a malicious eavesdropper that observes the…

Machine Learning · Computer Science 2023-08-21 Adit Jain , Vikram Krishnamurthy

Computing accurate low rank approximations of large matrices is a fundamental data mining task. In many applications however the matrix contains sensitive information about individuals. In such case we would like to release a low rank…

Data Structures and Algorithms · Computer Science 2012-11-06 Moritz Hardt , Aaron Roth

We consider a setting where $n$ buyers, with combinatorial preferences over $m$ items, and a seller, running a priority-based allocation mechanism, repeatedly interact. Our goal, from observing limited information about the results of these…

Computer Science and Game Theory · Computer Science 2014-08-29 Avrim Blum , Yishay Mansour , Jamie Morgenstern

We consider the mixed regression problem with two components, under adversarial and stochastic noise. We give a convex optimization formulation that provably recovers the true solution, and provide upper bounds on the recovery errors for…

Machine Learning · Statistics 2015-02-16 Yudong Chen , Xinyang Yi , Constantine Caramanis

Using machine learning to solve combinatorial optimization (CO) problems is challenging, especially when the data is unlabeled. This work proposes an unsupervised learning framework for CO problems. Our framework follows a standard…

Machine Learning · Computer Science 2022-10-25 Haoyu Wang , Nan Wu , Hang Yang , Cong Hao , Pan Li

In this paper, we consider the contextual variant of the MNL-Bandit problem. More specifically, we consider a dynamic set optimization problem, where a decision-maker offers a subset (assortment) of products to a consumer and observes the…

Machine Learning · Computer Science 2024-04-16 Priyank Agrawal , Theja Tulabandhula , Vashist Avadhanula

Many real-world decision processes are modeled by optimization problems whose defining parameters are unknown and must be inferred from observable data. The Predict-Then-Optimize framework uses machine learning models to predict unknown…

Machine Learning · Computer Science 2023-11-23 James Kotary , Vincenzo Di Vito , Jacob Christopher , Pascal Van Hentenryck , Ferdinando Fioretto

Probabilistic models help us encode latent structures that both model the data and are ideally also useful for specific downstream tasks. Among these, mixture models and their time-series counterparts, hidden Markov models, identify…

Machine Learning · Computer Science 2021-10-29 Abhishek Sharma , Catherine Zeng , Sanjana Narayanan , Sonali Parbhoo , Finale Doshi-Velez

Non-discrimination is a recognized objective in algorithmic decision making. In this paper, we introduce a novel probabilistic formulation of data pre-processing for reducing discrimination. We propose a convex optimization for learning a…

Machine Learning · Statistics 2017-04-12 Flavio P. Calmon , Dennis Wei , Karthikeyan Natesan Ramamurthy , Kush R. Varshney

This article is devoted to the problem of predicting the value taken by a random permutation $\Sigma$, describing the preferences of an individual over a set of numbered items $\{1,\; \ldots,\; n\}$ say, based on the observation of an…

Statistics Theory · Mathematics 2017-12-20 Stephan Clémençon , Anna Korba , Eric Sibony

Consider the seller's problem of finding optimal prices for her $n$ (divisible) goods when faced with a set of $m$ consumers, given that she can only observe their purchased bundles at posted prices, i.e., revealed preferences. We study…

Computer Science and Game Theory · Computer Science 2018-10-09 Ziwei Ji , Ruta Mehta , Matus Telgarsky

Collaborative Metric Learning (CML) recently emerged as a powerful paradigm for recommendation based on implicit feedback collaborative filtering. However, standard CML methods learn fixed user and item representations, which fails to…

Information Retrieval · Computer Science 2021-08-11 Viet-Anh Tran , Guillaume Salha-Galvan , Romain Hennequin , Manuel Moussallam

Collaborative filtering analyzes user preferences for items (e.g., books, movies, restaurants, academic papers) by exploiting the similarity patterns across users. In implicit feedback settings, all the items, including the ones that a user…

Machine Learning · Statistics 2016-02-05 Dawen Liang , Laurent Charlin , James McInerney , David M. Blei

Most of the existing recommender systems use the ratings provided by users on individual items. An additional source of preference information is to use the ratings that users provide on sets of items. The advantages of using preferences on…

Information Retrieval · Computer Science 2019-04-30 Mohit Sharma , F. Maxwell Harper , George Karypis

Many-to-many matching with contracts is studied in the framework of revealed preferences. All preferences are described by choice functions that satisfy natural conditions. Under a no-externality assumption individual preferences can be…

Computer Science and Game Theory · Computer Science 2020-03-05 Daniel Lehmann

A recommender system generates personalized recommendations for a user by computing the preference score of items, sorting the items according to the score, and filtering top-K items with high scores. While sorting and ranking items are…

Information Retrieval · Computer Science 2020-12-08 Hyunsung Lee , Yeongjae Jang , Jaekwang Kim , Honguk Woo

We study the problem of learning a partially observed matrix under the low rank assumption in the presence of fully observed side information that depends linearly on the true underlying matrix. This problem consists of an important…

Machine Learning · Statistics 2026-02-05 Dimitris Bertsimas , Nicholas A. G. Johnson

Despite the somewhat different techniques used in developing search engines and recommender systems, they both follow the same goal: helping people to get the information they need at the right time. Due to this common goal, search and…

Information Retrieval · Computer Science 2018-07-17 Hamed Zamani , W. Bruce Croft