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The topic of learning to solve optimization problems has received interest from both the operations research and machine learning communities. In this work, we combine techniques from both fields to address the problem of learning to…

Machine Learning · Computer Science 2022-04-25 Aaron Babier , Timothy C. Y. Chan , Adam Diamant , Rafid Mahmood

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

Inspired by applications in optimal control of semilinear elliptic partial differential equations and physics-integrated imaging, differential equation constrained optimization problems with constituents that are only accessible through…

Optimization and Control · Mathematics 2020-08-26 Guozhi Dong , Michael Hintermueller , Kostas Papafitsoros

The goal of this tutorial is to introduce key models, algorithms, and open questions related to the use of optimization methods for solving problems arising in machine learning. It is written with an INFORMS audience in mind, specifically…

Machine Learning · Statistics 2017-07-03 Frank E. Curtis , Katya Scheinberg

When deploying machine learning solutions, they must satisfy multiple requirements beyond accuracy, such as fairness, robustness, or safety. These requirements are imposed during training either implicitly, using penalties, or explicitly,…

Machine Learning · Computer Science 2024-01-12 Ignacio Hounie , Alejandro Ribeiro , Luiz F. O. Chamon

In recent years, by utilizing optimization techniques to formulate the propagation of deep model, a variety of so-called Optimization-Derived Learning (ODL) approaches have been proposed to address diverse learning and vision tasks.…

Machine Learning · Computer Science 2023-09-13 Risheng Liu , Xuan Liu , Shangzhi Zeng , Jin Zhang , Yixuan Zhang

Curriculum learning (CL) is a commonly used machine learning training strategy. However, we still lack a clear theoretical understanding of CL's benefits. In this paper, we study the benefits of CL in the multitask linear regression problem…

Machine Learning · Statistics 2021-11-16 Ziping Xu , Ambuj Tewari

The diverse world of machine learning applications has given rise to a plethora of algorithms and optimization methods, finely tuned to the specific regression or classification task at hand. We reduce the complexity of algorithm design for…

Optimization and Control · Mathematics 2016-05-23 Zeyuan Allen-Zhu , Elad Hazan

As larger deep learning models are hard to interpret, there has been a recent focus on generating explanations of these black-box models. In contrast, we may have apriori explanations of how models should behave. In this paper, we formalize…

Machine Learning · Computer Science 2023-12-27 Rattana Pukdee , Dylan Sam , J. Zico Kolter , Maria-Florina Balcan , Pradeep Ravikumar

The alignment of autonomous agents with human values is a pivotal challenge when deploying these agents within physical environments, where safety is an important concern. However, defining the agent's objective as a reward and/or cost…

Machine Learning · Computer Science 2023-12-15 Mattijs Baert , Sam Leroux , Pieter Simoens

Continual Learning (CL) aims to incrementally acquire new knowledge while mitigating catastrophic forgetting. Within this setting, Online Continual Learning (OCL) focuses on updating models promptly and incrementally from single or small…

Machine Learning · Computer Science 2025-12-19 Giovanni Donghi , Luca Pasa , Daniele Zambon , Cesare Alippi , Nicolò Navarin

Training a classifier under non-convex constraints has gotten increasing attention in the machine learning community thanks to its wide range of applications such as algorithmic fairness and class-imbalanced classification. However, several…

Machine Learning · Statistics 2022-10-31 You-Lin Chen , Zhaoran Wang , Mladen Kolar

Learning to Optimize is a recently proposed framework for learning optimization algorithms using reinforcement learning. In this paper, we explore learning an optimization algorithm for training shallow neural nets. Such high-dimensional…

Machine Learning · Computer Science 2017-12-01 Ke Li , Jitendra Malik

Data driven models of dynamical systems help planners and controllers to provide more precise and accurate motions. Most model learning algorithms will try to minimize a loss function between the observed data and the model's predictions.…

Artificial Intelligence · Computer Science 2021-02-12 Clark Zhang , Santiago Paternain , Alejandro Ribeiro

Learning how to learn efficiently is a fundamental challenge for biological agents and a growing concern for artificial ones. To learn effectively, an agent must regulate its learning speed, balancing the benefits of rapid improvement…

Machine Learning · Computer Science 2026-01-13 Valentina Njaradi , Rodrigo Carrasco-Davis , Peter E. Latham , Andrew Saxe

This article introduces the concept of optimization learning, a methodology to design optimization proxies that learn the input/output mapping of parametric optimization problems. These optimization proxies are trustworthy by design: they…

Optimization and Control · Mathematics 2025-01-08 Pascal Van Hentenryck

Real-world systems are often formulated as constrained optimization problems. Techniques to incorporate constraints into Neural Networks (NN), such as Neural Ordinary Differential Equations (Neural ODEs), have been used. However, these…

Machine Learning · Computer Science 2025-03-27 C. Coelho , M. Fernanda P. Costa , L. L. Ferrás

This paper presents a general framework to integrate prior knowledge in the form of logic constraints among a set of task functions into kernel machines. The logic propositions provide a partial representation of the environment, in which…

Machine Learning · Computer Science 2024-02-19 Michelangelo Diligenti , Marco Gori , Marco Maggini , Leonardo Rigutini

In modern decentralized applications, ensuring communication efficiency and privacy for the users are the key challenges. In order to train machine-learning models, the algorithm has to communicate to the data center and sample data for its…

Optimization and Control · Mathematics 2024-04-04 Hoang Huy Nguyen , Yan Li , Tuo Zhao

Regularization-based approaches for injecting constraints in Machine Learning (ML) were introduced to improve a predictive model via expert knowledge. We tackle the issue of finding the right balance between the loss (the accuracy of the…

Machine Learning · Computer Science 2020-05-22 Michele Lombardi , Federico Baldo , Andrea Borghesi , Michela Milano