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Data-driven models are becoming increasingly popular in engineering, on their own or in combination with mechanistic models. Commonly, the trained models are subsequently used in model-based optimization of design and/or operation of…

Optimization and Control · Mathematics 2024-01-17 Artur M Schweidtmann , Jana M Weber , Christian Wende , Linus Netze , Alexander Mitsos

In many real world applications of machine learning, models have to meet certain domain-based requirements that can be expressed as constraints (e.g., safety-critical constraints in autonomous driving systems). Such constraints are often…

Machine Learning · Computer Science 2022-06-20 Kshitij Goyal , Sebastijan Dumancic , Hendrik Blockeel

Though learning has become a core component of modern information processing, there is now ample evidence that it can lead to biased, unsafe, and prejudiced systems. The need to impose requirements on learning is therefore paramount,…

Machine Learning · Computer Science 2022-10-20 Luiz F. O. Chamon , Santiago Paternain , Miguel Calvo-Fullana , Alejandro Ribeiro

The problem of ensuring constraints satisfaction on the output of machine learning models is critical for many applications, especially in safety-critical domains. Modern approaches rely on penalty-based methods at training time, which do…

Machine Learning · Computer Science 2025-04-14 Gaetano Signorelli , Michele Lombardi

As machine learning models, specifically neural networks, are becoming increasingly popular, there are concerns regarding their trustworthiness, specially in safety-critical applications, e.g. actions of an autonomous vehicle must be safe.…

Machine Learning · Computer Science 2023-12-15 Kshitij Goyal , Sebastijan Dumancic , Hendrik Blockeel

Various natural language processing tasks are structured prediction problems where outputs are constructed with multiple interdependent decisions. Past work has shown that domain knowledge, framed as constraints over the output space, can…

Computation and Language · Computer Science 2020-06-03 Xingyuan Pan , Maitrey Mehta , Vivek Srikumar

There is a recent proliferation of research on the integration of machine learning and optimization. One expansive area within this research stream is predictive-model embedded optimization, which proposes the use of pre-trained predictive…

Machine Learning · Computer Science 2022-10-20 Chenbo Shi , Mohsen Emadikhiav , Leonardo Lozano , David Bergman

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

Deep Learning (DL) models proved themselves to perform extremely well on a wide variety of learning tasks, as they can learn useful patterns from large data sets. However, purely data-driven models might struggle when very difficult…

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

Submodularity is one of the most well-studied properties of problem classes in combinatorial optimization and many applications of machine learning and data mining, with strong implications for guaranteed optimization. In this thesis, we…

Machine Learning · Computer Science 2019-12-19 Yatao An Bian

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

Optimization problems involving minimization of a rank-one convex function over constraints modeling restrictions on the support of the decision variables emerge in various machine learning applications. These problems are often modeled…

Optimization and Control · Mathematics 2023-11-29 Soroosh Shafiee , Fatma Kılınç-Karzan

Adding constraint support in Machine Learning has the potential to address outstanding issues in data-driven AI systems, such as safety and fairness. Existing approaches typically apply constrained optimization techniques to ML training,…

Machine Learning · Computer Science 2021-03-01 Fabrizio Detassis , Michele Lombardi , Michela Milano

The last decade witnessed a rise in the importance of supervised learning applications involving {\em big data} and {\em big models}. Big data refers to situations where the amounts of training data available and needed causes difficulties…

Optimization and Control · Mathematics 2018-11-01 Konstantin Mishchenko , Peter Richtárik

We employ constraints to control the parameter space of deep neural networks throughout training. The use of customized, appropriately designed constraints can reduce the vanishing/exploding gradients problem, improve smoothness of…

Machine Learning · Computer Science 2021-06-22 Benedict Leimkuhler , Tiffany Vlaar , Timothée Pouchon , Amos Storkey

In this work, we study the problem of learning a single model for multiple domains. Unlike the conventional machine learning scenario where each domain can have the corresponding model, multiple domains (i.e., applications/users) may share…

Machine Learning · Computer Science 2019-05-23 Qi Qian , Shenghuo Zhu , Jiasheng Tang , Rong Jin , Baigui Sun , Hao Li

Enforcing complex (e.g., nonconvex) operational constraints is a critical challenge in real-world learning and control systems. However, existing methods struggle to efficiently enforce general classes of constraints. To address this, we…

Machine Learning · Computer Science 2026-04-07 Maria Chzhen , Priya L. Donti

Incorporating domain knowledge into the modeling process is an effective way to improve learning accuracy. However, as it is provided by humans, domain knowledge can only be specified with some degree of uncertainty. We propose to…

Machine Learning · Computer Science 2012-05-14 Yi Mao , Guy Lebanon

In this paper, we introduce a discrete variant of the meta-learning framework. Meta-learning aims at exploiting prior experience and data to improve performance on future tasks. By now, there exist numerous formulations for meta-learning in…

Machine Learning · Computer Science 2021-01-12 Arman Adibi , Aryan Mokhtari , Hamed Hassani

We study the generalization of deep learning models in relation to the convex hull of their training sets. A trained image classifier basically partitions its domain via decision boundaries and assigns a class to each of those partitions.…

Machine Learning · Computer Science 2021-01-26 Roozbeh Yousefzadeh
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