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This paper provides a theoretical analysis of a new learning problem for recommender systems where users provide feedback by comparing pairs of items instead of rating them individually. We assume that comparisons stem from latent user and…

Machine Learning · Computer Science 2025-08-20 Suryanarayana Sankagiri , Jalal Etesami , Matthias Grossglauser

Optimization problems with rank constraints arise in many applications, including matrix regression, structured PCA, matrix completion and matrix decomposition problems. An attractive heuristic for solving such problems is to factorize the…

Statistics Theory · Mathematics 2015-09-11 Yudong Chen , Martin J. Wainwright

While the use of programming problems on exams is a common form of summative assessment in CS courses, grading such exam problems can be a difficult and inconsistent process. Through an analysis of historical grading patterns we show that…

Computers and Society · Computer Science 2024-03-25 Sonja Johnson-Yu , Nicholas Bowman , Mehran Sahami , Chris Piech

Sparse coding--that is, modelling data vectors as sparse linear combinations of basis elements--is widely used in machine learning, neuroscience, signal processing, and statistics. This paper focuses on the large-scale matrix factorization…

Machine Learning · Statistics 2010-02-11 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro

We study the course allocation problem, where universities assign course schedules to students. The current state-of-the-art mechanism, Course Match, has one major shortcoming: students make significant mistakes when reporting their…

Computer Science and Game Theory · Computer Science 2025-01-24 Ermis Soumalias , Behnoosh Zamanlooy , Jakob Weissteiner , Sven Seuken

Instructors have limited time and resources to help struggling students, and these resources should be directed to the students who most need them. To address this, researchers have constructed models that can predict students' final course…

Machine Learning · Computer Science 2021-02-12 Ge Gao , Samiha Marwan , Thomas W. Price

This paper introduces a novel revealed-preference approach to ranking colleges and professional schools based on applicants' choices and standardized test scores. Unlike traditional rankings that rely on data supplied by institutions or…

General Economics · Economics 2025-07-17 Federico Echenique , Michael Olabisi

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

Numerical Analysis · Mathematics 2016-06-07 Victor Y. Pan , Liang Zhao

In this document, some general results in approximation theory and matrix analysis with applications to sparse identification of time series models and nonlinear discrete-time dynamical systems are presented. The aforementioned theoretical…

Numerical Analysis · Mathematics 2021-08-04 Fredy Vides

Separating the short jobs from the long is a known technique to improve scheduling performance. In this paper we describe a method we developed for accurately predicting the runtimes classes of the jobs to enable this separation. Our method…

Machine Learning · Statistics 2016-05-24 Anat Reiner-Benaim , Anna Grabarnick , Edi Shmueli

We study the problem of fitting task-specific learning rate schedules from the perspective of hyperparameter optimization, aiming at good generalization. We describe the structure of the gradient of a validation error w.r.t. the learning…

Machine Learning · Computer Science 2020-05-19 Michele Donini , Luca Franceschi , Massimiliano Pontil , Orchid Majumder , Paolo Frasconi

In the Naive Bayes classification model the class conditional densities are estimated as the products of their marginal densities along the cardinal basis directions. We study the problem of obtaining an alternative basis for this…

Machine Learning · Statistics 2025-08-19 David P. Hofmeyr , Francois Kamper , Michail C. Melonas

Student performance prediction - where a machine forecasts the future performance of students as they interact with online coursework - is a challenging problem. Reliable early-stage predictions of a student's future performance could be…

Machine Learning · Computer Science 2018-04-23 Byung-Hak Kim , Ethan Vizitei , Varun Ganapathi

We propose a penalized likelihood framework for estimating multiple precision matrices from different classes. Most existing methods either incorporate no information on relationships between the precision matrices, or require this…

Machine Learning · Statistics 2020-03-03 Bradley S. Price , Aaron J. Molstad , Ben Sherwood

Predicting students' academic performance has been a research area of interest in recent years with many institutions focusing on improving the students' performance and the education quality. The analysis and prediction of students'…

Computers and Society · Computer Science 2020-06-11 MohammadNoor Injadat , Abdallah Moubayed , Ali Bou Nassif , Abdallah Shami

This research investigates the use of machine learning methods to forecast students' academic performance in a school setting. Students' data with behavioral, academic, and demographic details were used in implementations with standard…

Computers and Society · Computer Science 2025-06-11 A. G. R. Sandeepa , Sanka Mohottala

An educational institution needs to have an approximate prior knowledge of enrolled students to predict their performance in future academics. This helps them to identify promising students and also provides them an opportunity to pay…

Computers and Society · Computer Science 2013-10-09 Kalpesh Adhatrao , Aditya Gaykar , Amiraj Dhawan , Rohit Jha , Vipul Honrao

In machine learning applications, predictive models are trained to serve future queries across the entire data distribution. Real-world data often demands excessively complex models to achieve competitive performance, however, sacrificing…

Machine Learning · Computer Science 2025-09-22 Jizhou Huang , Brendan Juba

Peer grading systems aggregate noisy reports from multiple students to approximate a true grade as closely as possible. Most current systems either take the mean or median of reported grades; others aim to estimate students' grading…

Artificial Intelligence · Computer Science 2022-12-05 Hedayat Zarkoob , Greg d'Eon , Lena Podina , Kevin Leyton-Brown

Equity of educational outcome and fairness of AI with respect to race have been topics of increasing importance in education. In this work, we address both with empirical evaluations of grade prediction in higher education, an important…

Computers and Society · Computer Science 2021-05-17 Weijie Jiang , Zachary A. Pardos