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We analyze and contrast two ways to train machine learning models for solving AC optimal power flow (OPF) problems, distinguished with the loss functions used. The first trains a mapping from the loads to the optimal dispatch decisions,…

Systems and Control · Electrical Eng. & Systems 2024-02-02 Ge Chen , Junjie Qin

In a Bayesian learning setting, the posterior distribution of a predictive model arises from a trade-off between its prior distribution and the conditional likelihood of observed data. Such distribution functions usually rely on additional…

Machine Learning · Statistics 2011-11-01 Andrea Schirru , Simone Pampuri , Giuseppe De Nicolao , Sean McLoone

To build recommender systems that not only consider user-item interactions represented as ordinal variables, but also exploit the social network describing the relationships between the users, we develop a hierarchical Bayesian model termed…

Information Retrieval · Computer Science 2022-09-13 Dongsheng Wang , Chaojie Wang , Bo Chen , Mingyuan Zhou

Ordinal classification models assign higher penalties to predictions further away from the true class. As a result, they are appropriate for relevant diagnostic tasks like disease progression prediction or medical image grading. The…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Adrian Galdran

Identifying oculomotor behaviors relevant for eye-tracking applications is a critical but often challenging task. Aiming to automatically learn and extract knowledge from existing eye-tracking data, we develop a novel method that creates…

Computer Vision and Pattern Recognition · Computer Science 2021-08-12 Beibin Li , Nicholas Nuechterlein , Erin Barney , Claire Foster , Minah Kim , Monique Mahony , Adham Atyabi , Li Feng , Quan Wang , Pamela Ventola , Linda Shapiro , Frederick Shic

In regression models, predictor variables with inherent ordering, such as tumor staging ranging and ECOG performance status, are commonly seen in medical settings. Statistically, it may be difficult to determine the functional form of an…

Methodology · Statistics 2020-08-04 Emily Roberts , Lili Zhao

Reinforcement learning with outcome-based feedback faces a fundamental challenge: when rewards are only observed at trajectory endpoints, how do we assign credit to the right actions? This paper provides the first comprehensive analysis of…

Machine Learning · Computer Science 2025-07-25 Fan Chen , Zeyu Jia , Alexander Rakhlin , Tengyang Xie

Machine learning has demonstrated remarkable performance over finite datasets, yet whether the scores over the fixed benchmarks can sufficiently indicate the model's performance in the real world is still in discussion. In reality, an ideal…

Computer Vision and Pattern Recognition · Computer Science 2024-05-17 Peiyan Zhang , Haoyang Liu , Chaozhuo Li , Xing Xie , Sunghun Kim , Haohan Wang

Uniform random exploration in decision-making systems supports off-policy learning via supervision but incurs high regret, making it impractical for many applications. Conversely, non-uniform exploration offers better immediate performance…

Machine Learning · Computer Science 2025-07-11 Akhila Vangara , Alex Egg

Computationally efficient contextual bandits are often based on estimating a predictive model of rewards given contexts and arms using past data. However, when the reward model is not well-specified, the bandit algorithm may incur…

Machine Learning · Computer Science 2021-06-14 Sanath Kumar Krishnamurthy , Vitor Hadad , Susan Athey

Standard (network) meta-analysis methods for medical test accuracy evaluation analyse the data separately for each test threshold - wasting data - unless every study reports all thresholds. Previously proposed "multiple threshold" models…

Reinforcement Learning aims at identifying and evaluating efficient control policies from data. In many real-world applications, the learner is not allowed to experiment and cannot gather data in an online manner (this is the case when…

Machine Learning · Computer Science 2024-07-02 Daniele Foffano , Alessio Russo , Alexandre Proutiere

We study the success probability for a variant of the secretary problem, with noisy observations and multiple offline selection. Our formulation emulates, and is motivated by, problems involving noisy selection arising in the disciplines of…

Optimization and Control · Mathematics 2021-06-11 Robert Chin , Jonathan E. Rowe , Iman Shames , Chris Manzie , Dragan Nešić

This study presents an Ordinal version of Residual Logit (Ordinal-ResLogit) model to investigate the ordinal responses. We integrate the standard ResLogit model into COnsistent RAnk Logits (CORAL) framework, classified as a binary…

Machine Learning · Computer Science 2022-04-26 Kimia Kamal , Bilal Farooq

High-dimensional functional data have become increasingly prevalent in modern applications such as high-frequency financial data and neuroimaging data analysis. We investigate a class of high-dimensional linear regression models, where each…

Methodology · Statistics 2025-11-06 Xingche Guo , Yehua Li , Tailen Hsing

Reward modeling is crucial for aligning large language models with human preferences, yet current approaches lack a principled mathematical framework for leveraging ordinal preference data. When human annotators provide graded preferences…

Machine Learning · Computer Science 2026-03-04 Amirhossein Afsharrad , Ruida Zhou , Luca Viano , Sanjay Lall , Mohammad Ghavamzadeh

Closed-loop decision-making systems (e.g., lending, screening, or recidivism risk assessment) often operate under fairness and service constraints while inducing feedback effects: decisions change who appears in the future, yielding…

Machine Learning · Computer Science 2025-12-30 Wenzhang Du

Continuous response variables often need to be transformed to meet regression modeling assumptions; however, finding the optimal transformation is challenging and results may vary with the choice of transformation. When a continuous…

Methodology · Statistics 2022-07-19 Yuqi Tian , Bryan E. Shepherd , Chun Li , Donglin Zeng , Jonathan J. Schildcrout

Primates constantly explore their surroundings via saccadic eye movements that bring different parts of an image into high resolution. In addition to exploring new regions in the visual field, primates also make frequent return fixations,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-11 Mengmi Zhang , Marcelo Armendariz , Will Xiao , Olivia Rose , Katarina Bendtz , Margaret Livingstone , Carlos Ponce , Gabriel Kreiman

In this paper we propose a new methodology to represent the results of the robust ordinal regression approach by means of a family of representative value functions for which, taken two alternatives $a$ and $b$, the following two conditions…

Optimization and Control · Mathematics 2021-07-19 Sally Giuseppe Arcidiacono , Salvatore Corrente , Salvatore Greco