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In standard reinforcement learning (RL), a learning agent seeks to optimize the overall reward. However, many key aspects of a desired behavior are more naturally expressed as constraints. For instance, the designer may want to limit the…

Machine Learning · Computer Science 2021-01-29 Sobhan Miryoosefi , Kianté Brantley , Hal Daumé , Miroslav Dudik , Robert Schapire

When dealing with real-world optimization problems, decision-makers usually face high levels of uncertainty associated with partial information, unknown parameters, or complex relationships between these and the problem decision variables.…

Optimization and Control · Mathematics 2023-05-01 Antonio Alcántara , Carlos Ruiz

Accurate segmentation of Pelvic Radiation Injury (PRI) from Magnetic Resonance Images (MRI) is crucial for more precise prognosis assessment and the development of personalized treatment plans. However, automated segmentation remains…

Computer Vision and Pattern Recognition · Computer Science 2025-06-24 Xinyu Xiong , Wuteng Cao , Zihuang Wu , Lei Zhang , Chong Gao , Guanbin Li , Qiyuan Qin

In multitask learning, conflicts between task gradients are a frequent issue degrading a model's training performance. This is commonly addressed by using the Gradient Projection algorithm PCGrad that often leads to faster convergence and…

Machine Learning · Computer Science 2025-08-07 Christian Bohn , Ido Freeman , Hasan Tercan , Tobias Meisen

Machine learning models are widely used for real-world applications, such as document analysis and vision. Constrained machine learning problems are problems where learned models have to both be accurate and respect constraints. For…

Machine Learning · Computer Science 2021-12-03 Guillaume Perez , Sebastian Ament , Carla Gomes , Arnaud Lallouet

Reinforcement Learning (RL) has been widely applied to many control tasks and substantially improved the performances compared to conventional control methods in many domains where the reward function is well defined. However, for many…

Machine Learning · Computer Science 2024-03-22 Baohe Zhang , Yuan Zhang , Lilli Frison , Thomas Brox , Joschka Bödecker

Training and fine-tuning large language models (LLMs) come with challenges related to memory and computational requirements due to the increasing size of the model weights and the optimizer states. Various techniques have been developed to…

Machine Learning · Computer Science 2025-12-09 Yehonathan Refael , Jonathan Svirsky , Boris Shustin , Wasim Huleihel , Ofir Lindenbaum

The paper concerns optimization problems with general equality and inequality constraints and with constraints expressed by a convex set. In order to solve these problems, the general constraints are treated by an exact penalty functions…

Optimization and Control · Mathematics 2026-05-26 Bogdan K. Jastrzębski , Radosław Pytlak

In this paper, we propose an optimally structured gradient coding scheme to mitigate the straggler problem in distributed learning. Conventional gradient coding methods often assume homogeneous straggler models or rely on excessive data…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Heekang Song , Wan Choi

Regression, the task of predicting a continuous scalar target y based on some features x is one of the most fundamental tasks in machine learning and statistics. It has been observed and theoretically analyzed that the classical approach,…

Machine Learning · Statistics 2025-02-19 Lawrence Stewart , Francis Bach , Quentin Berthet

This paper proposes a new unsupervised domain adaptation approach called Collaborative and Adversarial Network (CAN), which uses the domain-collaborative and domain-adversarial learning strategy for training the neural network. The…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Weichen Zhang , Dong Xu , Wanli Ouyang , Wen Li

We investigate the physics-constrained training of an encoder-decoder neural network for approximating the Fokker-Planck-Landau collision operator in the 5-dimensional kinetic fusion simulation in XGC. To train this network, we propose a…

Computational Physics · Physics 2020-09-17 Alp Dener , Marco Andres Miller , Randy Michael Churchill , Todd Munson , Choong-Seock Chang

Decision trees with binary splits are popularly constructed using Classification and Regression Trees (CART) methodology. For regression models, this approach recursively divides the data into two near-homogenous daughter nodes according to…

Machine Learning · Statistics 2020-11-20 Jason M. Klusowski

Cut-generating linear programs (CGLPs) play a key role as a separation oracle to produce valid inequalities for the feasible region of mixed-integer programs. When incorporated inside branch-and-bound, the cutting planes obtained from CGLPs…

Optimization and Control · Mathematics 2023-11-01 Atefeh Rajabalizadeh , Danial Davarnia

The delta-bar-delta algorithm is recognized as a learning rate adaptation technique that enhances the convergence speed of the training process in optimization by dynamically scheduling the learning rate based on the difference between the…

Machine Learning · Computer Science 2023-10-18 Zhao Song , Chiwun Yang

Classification tasks are usually evaluated in terms of accuracy. However, accuracy is discontinuous and cannot be directly optimized using gradient ascent. Popular methods minimize cross-entropy, hinge loss, or other surrogate losses, which…

Machine Learning · Computer Science 2024-07-25 Ivan Karpukhin , Stanislav Dereka , Sergey Kolesnikov

With a focus on linear models with smooth functional covariates, we propose a penalization framework (SACR) based on the nonzero centered ridge, where the center of the penalty is optimally reweighted in a supervised way, starting from the…

Methodology · Statistics 2020-11-03 Edoardo Belli

Neural networks enjoy widespread use, but many aspects of their training, representation, and operation are poorly understood. In particular, our view into the training process is limited, with a single scalar loss being the most common…

Machine Learning · Computer Science 2020-03-04 Janice Lan , Rosanne Liu , Hattie Zhou , Jason Yosinski

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

Computer Vision and Pattern Recognition · Computer Science 2014-03-11 Qiang Qiu , Guillermo Sapiro

We present several key advances to the Physics and Equality Constrained Artificial Neural Networks (PECANN) framework, substantially improving its capacity to solve challenging partial differential equations (PDEs). Our enhancements broaden…

Machine Learning · Computer Science 2025-12-09 Qifeng Hu , Shamsulhaq Basir , Inanc Senocak