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This article investigates the problem of noisy low-rank matrix completion with a shared factor structure, leveraging the auxiliary information from the missing indicator matrix to enhance prediction accuracy. Despite decades of development…

统计方法学 · 统计学 2025-04-08 Yuanhong A , Xinyan Fan , Bingyi Jing , Bo Zhang

Matrix completion problem has been investigated under many different conditions since Netflix announced the Netflix Prize problem. Many research work has been done in the field once it has been discovered that many real life dataset could…

机器学习 · 计算机科学 2022-04-06 Jafar Jafarov

We propose an algorithm for generating explicit solutions of multiparametric mixed-integer convex programs to within a given suboptimality tolerance. The algorithm is applicable to a very general class of optimization problems, but is most…

最优化与控制 · 数学 2019-06-12 Danylo Malyuta , Behcet Acikmese

Matrix completion is a class of machine learning methods that concerns the prediction of missing entries in a partially observed matrix. This paper studies matrix completion for mixed data, i.e., data involving mixed types of variables…

机器学习 · 统计学 2022-11-18 Yunxiao Chen , Xiaoou Li

Statistical estimation often involves tradeoffs between expensive, high-quality measurements and a variety of lower-quality proxies. We introduce Multiple-Prediction-Powered Inference (MultiPPI): a general framework for constructing…

Consider the problem of minimizing the expected value of a (possibly nonconvex) cost function parameterized by a random (vector) variable, when the expectation cannot be computed accurately (e.g., because the statistics of the random…

多智能体系统 · 计算机科学 2017-12-12 Yang Yang , Gesualdo Scutari , Daniel P. Palomar , Marius Pesavento

This article presents a type-based analysis for deriving upper bounds on the expected execution cost of probabilistic programs. The analysis is naturally compositional, parametric in the cost model, and supports higher order functions and…

编程语言 · 计算机科学 2020-09-23 Di Wang , David M Kahn , Jan Hoffmann

In recent years, randomized algorithms have established themselves as fundamental tools in computational linear algebra, with applications in scientific computing, machine learning, and quantum information science. Many randomized matrix…

数值分析 · 数学 2025-12-19 Ethan N. Epperly

The need to predict or fill-in missing data, often referred to as matrix completion, is a common challenge in today's data-driven world. Previous strategies typically assume that no structural difference between observed and missing entries…

数值分析 · 数学 2018-01-30 Denali Molitor , Deanna Needell

Techniques of matrix completion aim to impute a large portion of missing entries in a data matrix through a small portion of observed ones. In practice including collaborative filtering, prior information and special structures are usually…

统计理论 · 数学 2022-03-09 Ji Chen , Xiaodong Li , Zongming Ma

Matrix completion aims to reconstruct a data matrix based on observations of a small number of its entries. Usually in matrix completion a single matrix is considered, which can be, for example, a rating matrix in recommendation system.…

机器学习 · 统计学 2019-10-22 Mokhtar Z. Alaya , Olga Klopp

This paper studies the open problem of conformalized entry prediction in a row/column-exchangeable matrix. The matrix setting presents novel and unique challenges, but there exists little work on this interesting topic. We meticulously…

机器学习 · 计算机科学 2023-06-07 Meijia Shao , Yuan Zhang

Destination prediction is an essential task in a variety of mobile applications. In this paper, we optimize the matrix operation and adapt a semi-lazy framework to improve the prediction accuracy and efficiency of a state-of-the-art…

数据库 · 计算机科学 2018-07-11 Zhou Yang , Heli Sun , Jianbin Huang , Xiaolin Jia , Ziyu Guan , Zhongmeng Zhao

We consider the problem of matrix completion on an $n \times m$ matrix. We introduce the problem of Interpretable Matrix Completion that aims to provide meaningful insights for the low-rank matrix using side information. We show that the…

最优化与控制 · 数学 2020-03-05 Dimitris Bertsimas , Michael Lingzhi Li

The matrix completion problem aims to reconstruct a low-rank matrix based on a revealed set of possibly noisy entries. Prior works consider completing the entire matrix with generalization error guarantees. However, the completion accuracy…

机器学习 · 计算机科学 2023-12-19 Elad Hazan , Adam Tauman Kalai , Varun Kanade , Clara Mohri , Y. Jennifer Sun

Matrix completion is often applied to data with entries missing not at random (MNAR). For example, consider a recommendation system where users tend to only reveal ratings for items they like. In this case, a matrix completion method that…

机器学习 · 统计学 2019-10-30 Wei Ma , George H. Chen

In high performance computing, scheduling of tasks and allocation to machines is very critical especially when we are dealing with heterogeneous execution costs. Simulations can be performed with a large variety of environments and…

性能 · 计算机科学 2018-03-23 Louis-Claude Canon , Mohamad El Sayah , Pierre-Cyrille Héam

We consider the problem of expected cost analysis over nondeterministic probabilistic programs, which aims at automated methods for analyzing the resource-usage of such programs. Previous approaches for this problem could only handle…

编程语言 · 计算机科学 2019-03-26 Peixin Wang , Hongfei Fu , Amir Kafshdar Goharshady , Krishnendu Chatterjee , Xudong Qin , Wenjun Shi

In this paper we study how to optimally balance cheap inflexible resources with more expensive, reconfigurable resources despite uncertainty in the input problem. Specifically, we introduce the MinEMax model to study "build versus rent"…

数据结构与算法 · 计算机科学 2019-07-23 D Ellis Hershkowitz , R. Ravi , Sahil Singla

In this paper we consider the low-rank matrix completion problem with specific application to forecasting in time series analysis. Briefly, the low-rank matrix completion problem is the problem of imputing missing values of a matrix under a…

统计方法学 · 统计学 2018-02-23 Jonathan Gillard , Konstantin Usevich