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Deep neural networks are powerful learning models that achieve state-of-the-art performance on many computer vision, speech, and language processing tasks. In this paper, we study a fundamental question that arises when designing deep…

Machine Learning · Statistics 2017-10-24 Shiva Prasad Kasiviswanathan , Nina Narodytska , Hongxia Jin

Many real-world machine learning tasks require outputs that satisfy hard constraints, such as physical conservation laws, structured dependencies in graphs, or column-level relationships in tabular data. Existing approaches rely either on…

Artificial Intelligence · Computer Science 2025-11-21 Pantelis Dogoulis , Fabien Bernier , Félix Fourreau , Karim Tit , Maxime Cordy

This paper presents HUANet, a constrained deep neural network architecture that unrolls the iterations of the Alternating Direction Method of Multipliers (ADMM) into a trainable neural network for solving constrained convex optimization…

Optimization and Control · Mathematics 2026-04-16 Trinh Tran , Binh Nguyen , Truong X. Nghiem

With the increasing deployment of machine learning models in many socially sensitive tasks, there is a growing demand for reliable and trustworthy predictions. One way to accomplish these requirements is to allow a model to abstain from…

Machine Learning · Computer Science 2024-09-19 Andrea Pugnana , Lorenzo Perini , Jesse Davis , Salvatore Ruggieri

State of the art algorithms for many pattern recognition problems rely on deep network models. Training these models requires a large labeled dataset and considerable computational resources. Also, it is difficult to understand the working…

Artificial Intelligence · Computer Science 2019-09-25 Heather Riley , Mohan Sridharan

The highly non-linear nature of deep neural networks causes them to be susceptible to adversarial examples and have unstable gradients which hinders interpretability. However, existing methods to solve these issues, such as adversarial…

Machine Learning · Computer Science 2023-01-11 Suraj Srinivas , Kyle Matoba , Himabindu Lakkaraju , Francois Fleuret

We present a novel framework for embedding hard constraint satisfaction into neural network (NN) architectures, specifically feedforward neural networks and transformers, with input-dependent affine constraints of arbitrary cardinality.…

Machine Learning · Computer Science 2026-05-26 Yang Zhao , Jungeun Lee , Jeong hwan Jeon , Sze Zheng Yong

Deep neural networks have proven to be quite effective in a wide variety of machine learning tasks, ranging from improved speech recognition systems to advancing the development of autonomous vehicles. However, despite their superior…

Machine Learning · Computer Science 2016-12-14 Qinglong Wang , Wenbo Guo , Alexander G. Ororbia , Xinyu Xing , Lin Lin , C. Lee Giles , Xue Liu , Peng Liu , Gang Xiong

Computational imaging has been revolutionized by compressed sensing algorithms, which offer guaranteed uniqueness, convergence, and stability properties. Model-based deep learning methods that combine imaging physics with learned…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Aniket Pramanik , M. Bridget Zimmerman , Mathews Jacob

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

The rapid development of machine learning (ML) and artificial intelligence (AI) applications requires the training of large numbers of models. This growing demand highlights the importance of training models without human supervision, while…

Machine Learning · Computer Science 2025-05-26 Alexey Boldyrev , Fedor Ratnikov , Andrey Shevelev

Constrained reinforcement learning is to maximize the expected reward subject to constraints on utilities/costs. However, the training environment may not be the same as the test one, due to, e.g., modeling error, adversarial attack,…

Machine Learning · Computer Science 2022-09-16 Yue Wang , Fei Miao , Shaofeng Zou

We present any-precision deep neural networks (DNNs), which are trained with a new method that allows the learned DNNs to be flexible in numerical precision during inference. The same model in runtime can be flexibly and directly set to…

Machine Learning · Computer Science 2021-01-18 Haichao Yu , Haoxiang Li , Honghui Shi , Thomas S. Huang , Gang Hua

Deep learning models have proven to be exceptionally useful in performing many machine learning tasks. However, for each new dataset, choosing an effective size and structure of the model can be a time-consuming process of trial and error.…

Machine Learning · Computer Science 2019-08-08 Roozbeh Yousefzadeh , Dianne P O'Leary

In many optimization problems in wireless communications, the expressions of objective function or constraints are hard or even impossible to derive, which makes the solutions difficult to find. In this paper, we propose a model-free…

Machine Learning · Computer Science 2019-07-31 Chengjian Sun , Dong Liu , Chenyang Yang

Physics-constrained data-driven computing is an emerging computational paradigm that allows simulation of complex materials directly based on material database and bypass the classical constitutive model construction. However, it remains…

Numerical Analysis · Mathematics 2022-09-12 Xiaolong He , Qizhi He , Jiun-Shyan Chen

Recurrent neural network (RNN)'s architecture is a key factor influencing its performance. We propose algorithms to optimize hidden sizes under running time constraint. We convert the discrete optimization into a subset selection problem.…

Machine Learning · Statistics 2018-02-22 Junqi Jin , Ziang Yan , Kun Fu , Nan Jiang , Changshui Zhang

While deep learning models excel at predictive tasks, they often overfit due to their complex structure and large number of parameters, causing them to memorize training data, including noise, rather than learn patterns that generalize to…

Machine Learning · Computer Science 2025-09-29 Joshua Salim , Jordan Yu , Xilei Zhao

Merging the two cultures of deep and statistical learning provides insights into structured high-dimensional data. Traditional statistical modeling is still a dominant strategy for structured tabular data. Deep learning can be viewed…

Methodology · Statistics 2021-10-25 Anindya Bhadra , Jyotishka Datta , Nick Polson , Vadim Sokolov , Jianeng Xu

We introduce an information-theoretic framework that views learning as universal prediction under log loss, characterized through regret bounds. Central to the framework is an effective notion of architecture-based model complexity, defined…

Machine Learning · Computer Science 2025-11-04 Meir Feder , Ruediger Urbanke , Yaniv Fogel