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Deep neural networks can be powerful tools, but require careful application-specific design to ensure that the most informative relationships in the data are learnable. In this paper, we apply deep neural networks to the nonlinear…

Machine Learning · Computer Science 2019-12-04 Matthew A. Wright , Simon F. G. Ehlers , Roberto Horowitz

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

Estimation of a regression function from independent and identically distributed random variables is considered. The $L_2$ error with integration with respect to the design measure is used as an error criterion. Over-parametrized deep…

Statistics Theory · Mathematics 2022-10-05 Michael Kohler , Adam Krzyzak

Deep neural networks (DNNs) have enabled astounding progress in several vision-based problems. Despite showing high predictive accuracy, recently, several works have revealed that they tend to provide overconfident predictions and thus are…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Muhammad Akhtar Munir , Muhammad Haris Khan , Salman Khan , Fahad Shahbaz Khan

Super-resolution using deep neural networks typically relies on highly curated training sets that are often unavailable in clinical deployment scenarios. Using loss functions that assume Gaussian-distributed residuals makes the learning…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Uddeshya Upadhyay , Suyash P. Awate

Despite the numerous advances, reinforcement learning remains away from widespread acceptance for autonomous controller design as compared to classical methods due to lack of ability to effectively tackle the reality gap. The reliance on…

Machine Learning · Computer Science 2024-09-23 Narendra Patwardhan , Zequn Wang

This paper proposes an Adaptive Robust Model Predictive Control strategy for lateral control in lane keeping problems, where we continuously learn an unknown, but constant steering angle offset present in the steering system. Longitudinal…

Systems and Control · Computer Science 2018-12-03 Monimoy Bujarbaruah , Xiaojing Zhang , H. Eric Tseng , Francesco Borrelli

Advances in computer vision and machine learning enable robots to perceive their surroundings in powerful new ways, but these perception modules have well-known fragilities. We consider the problem of synthesizing a safe controller that is…

Robotics · Computer Science 2022-09-26 Dawei Sun , Negin Musavi , Geir Dullerud , Sanjay Shakkottai , Sayan Mitra

There is a family of label modification approaches including self and non-self label correction (LC), and output regularisation. They are widely used for training robust deep neural networks (DNNs), but have not been mathematically and…

Machine Learning · Computer Science 2022-09-07 Xinshao Wang , Yang Hua , Elyor Kodirov , Sankha Subhra Mukherjee , David A. Clifton , Neil M. Robertson

Despite having high accuracy, neural nets have been shown to be susceptible to adversarial examples, where a small perturbation to an input can cause it to become mislabeled. We propose metrics for measuring the robustness of a neural net…

Machine Learning · Computer Science 2017-06-19 Osbert Bastani , Yani Ioannou , Leonidas Lampropoulos , Dimitrios Vytiniotis , Aditya Nori , Antonio Criminisi

Autonomous driving in urban crowds at unregulated intersections is challenging, where dynamic occlusions and uncertain behaviors of other vehicles should be carefully considered. Traditional methods are heuristic and based on…

Robotics · Computer Science 2021-09-20 Peide Cai , Sukai Wang , Hengli Wang , Ming Liu

Recent studies have highlighted that deep neural networks (DNNs) are vulnerable to adversarial examples. In this paper, we improve the robustness of DNNs by utilizing techniques of Distance Metric Learning. Specifically, we incorporate…

Machine Learning · Computer Science 2019-05-29 Pengcheng Li , Jinfeng Yi , Bowen Zhou , Lijun Zhang

Autonomous driving depends on perception systems to understand the environment and to inform downstream decision-making. While advanced perception systems utilizing black-box Deep Neural Networks (DNNs) demonstrate human-like comprehension,…

Artificial Intelligence · Computer Science 2024-03-26 Xiao Li , H. Eric Tseng , Anouck Girard , Ilya Kolmanovsky

Deep learning models are increasingly deployed in safety-critical tasks where predictions must satisfy hard constraints, such as physical laws, fairness requirements, or safety limits. However, standard architectures lack built-in…

Machine Learning · Computer Science 2025-11-26 Gonzalo E. Constante-Flores , Hao Chen , Can Li

Recent results in nonparametric regression show that for deep learning, i.e., for neural network estimates with many hidden layers, we are able to achieve good rates of convergence even in case of high-dimensional predictor variables,…

Statistics Theory · Mathematics 2019-12-12 Alina Braun , Michael Kohler , Adam Krzyzak

Robust loss minimization is an important strategy for handling robust learning issue on noisy labels. Current robust loss functions, however, inevitably involve hyperparameter(s) to be tuned, manually or heuristically through cross…

Machine Learning · Computer Science 2020-02-18 Jun Shu , Qian Zhao , Keyu Chen , Zongben Xu , Deyu Meng

Many analyses in particle and nuclear physics use simulations to infer fundamental, effective, or phenomenological parameters of the underlying physics models. When the inference is performed with unfolded cross sections, the observables…

Data Analysis, Statistics and Probability · Physics 2024-09-19 Owen Long , Benjamin Nachman

We introduce Deep Linear Discriminant Analysis (DeepLDA) which learns linearly separable latent representations in an end-to-end fashion. Classic LDA extracts features which preserve class separability and is used for dimensionality…

Machine Learning · Computer Science 2016-02-18 Matthias Dorfer , Rainer Kelz , Gerhard Widmer

One of the main concerns in design and process planning for multi-axis additive and subtractive manufacturing is collision avoidance between moving objects (e.g., tool assemblies) and stationary objects (e.g., a part unified with fixtures).…

Graphics · Computer Science 2024-09-06 George P. Harabin , Amir Mirzendehdel , Morad Behandish

Recent advances in deep learning have achieved impressive gains in classification accuracy on a variety of types of data, including images and text. Despite these gains, however, concerns have been raised about the calibration, robustness,…

Machine Learning · Computer Science 2018-11-20 Dallas Card , Michael Zhang , Noah A. Smith
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