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In this paper we explore the relation between distributionally robust learning and different forms of regularization to enforce robustness of deep neural networks. In particular, starting from a concrete min-max distributionally robust…

Optimization and Control · Mathematics 2022-03-29 Camilo Garcia Trillos , Nicolas Garcia Trillos

We consider a neural network architecture designed to solve inverse problems where the degradation operator is linear and known. This architecture is constructed by unrolling a forward-backward algorithm derived from the minimization of an…

Optimization and Control · Mathematics 2025-10-02 Emilie Chouzenoux , Cecile Della Valle , Jean-Christophe Pesquet

We derive a robust update rule for the online infinite hidden Markov model (iHMM) for when the streaming data contains outliers and the model is misspecified. Leveraging recent advances in generalised Bayesian inference, we define…

Machine Learning · Statistics 2026-05-13 Horace Yiu , Leandro Sánchez-Betancourt , Álvaro Cartea , Gerardo Duran-Martin

Outlier detection is one of the most important processes taken to create good, reliable data in machine learning. The most methods of outlier detection leverage an auxiliary reconstruction task by assuming that outliers are more difficult…

Computer Vision and Pattern Recognition · Computer Science 2022-11-23 Ning Huyan , Dou Quan , Xiangrong Zhang , Xuefeng Liang , Jocelyn Chanussot , Licheng Jiao

Transformer architecture has become the fundamental element of the widespread natural language processing~(NLP) models. With the trends of large NLP models, the increasing memory and computation costs hinder their efficient deployment on…

Machine Learning · Computer Science 2023-02-22 Xiuying Wei , Yunchen Zhang , Xiangguo Zhang , Ruihao Gong , Shanghang Zhang , Qi Zhang , Fengwei Yu , Xianglong Liu

Many estimation problems in robotics, computer vision, and learning require estimating unknown quantities in the face of outliers. Outliers are typically the result of incorrect data association or feature matching, and it is common to have…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Jingnan Shi , Heng Yang , Luca Carlone

Dropout, a simple and effective way to train deep neural networks, has led to a number of impressive empirical successes and spawned many recent theoretical investigations. However, the gap between dropout's training and inference phases,…

Machine Learning · Computer Science 2017-02-17 Xuezhe Ma , Yingkai Gao , Zhiting Hu , Yaoliang Yu , Yuntian Deng , Eduard Hovy

In this paper, we present a novel nonlinear programming-based approach to fine-tune pre-trained neural networks to improve robustness against adversarial attacks while maintaining high accuracy on clean data. Our method introduces…

Machine Learning · Computer Science 2024-10-28 Shudian Zhao , Jan Kronqvist

Deep Learning Accelerators are prone to faults which manifest in the form of errors in Neural Networks. Fault Tolerance in Neural Networks is crucial in real-time safety critical applications requiring computation for long durations. Neural…

Machine Learning · Computer Science 2021-06-01 Vasisht Duddu , D. Vijay Rao , Valentina E. Balas

Extreme activation outliers in Large Language Models (LLMs) critically degrade quantization performance, hindering efficient on-device deployment. While channel-wise operations and adaptive gradient scaling are recognized causes, practical…

Machine Learning · Computer Science 2025-06-25 Jungwoo Park , Taewhoo Lee , Chanwoong Yoon , Hyeon Hwang , Jaewoo Kang

The classical hinge-loss support vector machines (SVMs) model is sensitive to outlier observations due to the unboundedness of its loss function. To circumvent this issue, recent studies have focused on non-convex loss functions, such as…

Machine Learning · Computer Science 2022-07-19 Ítalo Santana , Breno Serrano , Maximilian Schiffer , Thibaut Vidal

Follow-the-Regularized-Leader (FTRL) algorithms are a popular class of learning algorithms for online linear optimization (OLO) that guarantee sub-linear regret, but the choice of regularizer can significantly impact dimension-dependent…

Machine Learning · Computer Science 2024-10-24 Khashayar Gatmiry , Jon Schneider , Stefanie Jegelka

Out-of-distribution (O.O.D.) generalization remains to be a key challenge for real-world machine learning systems. We describe a method for O.O.D. generalization that, through training, encourages models to only preserve features in the…

Machine Learning · Computer Science 2022-08-09 Arjun Ashok , Chaitanya Devaguptapu , Vineeth Balasubramanian

This paper presents a framework to solve constrained optimization problems in an accelerated manner based on High-Order Tuners (HT). Our approach is based on reformulating the original constrained problem as the unconstrained optimization…

Optimization and Control · Mathematics 2022-05-27 Anjali Parashar , Priyank Srivastava , Anuradha M. Annaswamy

We develop a method for training neural networks on Boolean data in which the values at all nodes are strictly $\pm 1$, and the resulting models are typically equivalent to networks whose nonzero weights are also $\pm 1$. The method…

Machine Learning · Computer Science 2026-02-20 Veit Elser , Manish Krishan Lal

The problem of localizing a set of nodes from relative pairwise measurements is at the core of many applications such as Structure from Motion (SfM), sensor networks, and Simultaneous Localization And Mapping (SLAM). In practical…

Computation · Statistics 2019-10-15 Mahroo Bahreinian , Roberto Tron

This paper studies the problem of robustly learning the correlation function for a univariate time series with the presence of noise, outliers and missing entries. The outliers or anomalies considered here are sparse and rare events that…

Applications · Statistics 2019-01-31 Triet M. Le

The problem of adversarial examples has shown that modern Neural Network (NN) models could be rather fragile. Among the more established techniques to solve the problem, one is to require the model to be {\it $\epsilon$-adversarially…

Machine Learning · Computer Science 2020-11-17 Yuxin Wen , Shuai Li , Kui Jia

Robustness against unwanted perturbations is an important aspect of deploying neural network classifiers in the real world. Common natural perturbations include noise, saturation, occlusion, viewpoint changes, and blur deformations. All of…

Computer Vision and Pattern Recognition · Computer Science 2021-11-19 Sadaf Gulshad , Ivan Sosnovik , Arnold Smeulders

There has been a growing number of machine learning methods for approximately solving the travelling salesman problem. However, these methods often require solved instances for training or use complex reinforcement learning approaches that…

Machine Learning · Computer Science 2022-07-28 Elīza Gaile , Andis Draguns , Emīls Ozoliņš , Kārlis Freivalds