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Neuroscientists apply a range of common analysis tools to recorded neural activity in order to glean insights into how neural circuits implement computations. Despite the fact that these tools shape the progress of the field as a whole, we…

Neurons and Cognition · Quantitative Biology 2022-02-16 Grace W. Lindsay

Advanced Air Mobility (AAM) introduces a new, efficient mode of transportation with the use of vehicle autonomy and electrified aircraft to provide increasingly autonomous transportation between previously underserved markets. Safe and…

Artificial Intelligence · Computer Science 2023-08-10 Marc W. Brittain , Luis E. Alvarez , Kara Breeden

The intrinsic complexity of deep neural networks (DNNs) makes it challenging to verify not only the networks themselves but also the hosting DNN-controlled systems. Reachability analysis of these systems faces the same challenge. Existing…

Machine Learning · Computer Science 2023-11-01 Jiaxu Tian , Dapeng Zhi , Si Liu , Peixin Wang , Guy Katz , Min Zhang

We propose a general framework for increasing local stability of Artificial Neural Nets (ANNs) using Robust Optimization (RO). We achieve this through an alternating minimization-maximization procedure, in which the loss of the network is…

Machine Learning · Statistics 2018-05-07 Uri Shaham , Yutaro Yamada , Sahand Negahban

We present an approach for designing correct-by-construction neural networks (and other machine learning models) that are guaranteed to be consistent with a collection of input-output specifications before, during, and after algorithm…

Machine Learning · Computer Science 2020-01-31 Stephen Mell , Olivia Brown , Justin Goodwin , Sung-Hyun Son

Autonomous driving technology is progressing rapidly, largely due to complex End To End systems based on deep neural networks. While these systems are effective, their complexity can make it difficult to understand their behavior, raising…

Robotics · Computer Science 2024-12-24 Iqra Aslam , Igor Anpilogov , Andreas Rausch

Deep neural networks are increasingly being used as controllers for safety-critical systems. Because neural networks are opaque, certifying their correctness is a significant challenge. To address this issue, several neural network…

Formal Languages and Automata Theory · Computer Science 2020-07-22 Yizhak Yisrael Elboher , Justin Gottschlich , Guy Katz

Human motion prediction aims to predict future 3D skeletal sequences by giving a limited human motion as inputs. Two popular methods, recurrent neural networks and feed-forward deep networks, are able to predict rough motion trend, but…

Computer Vision and Pattern Recognition · Computer Science 2020-11-25 Xianjin Chao , Yanrui Bin , Wenqing Chu , Xuan Cao , Yanhao Ge , Chengjie Wang , Jilin Li , Feiyue Huang , Howard Leung

While machine learning techniques have been successfully applied in several fields, the black-box nature of the models presents challenges for interpreting and explaining the results. We develop a new framework called Adaptive Explainable…

Machine Learning · Statistics 2020-06-03 Jie Chen , Joel Vaughan , Vijayan N. Nair , Agus Sudjianto

Deep Neural Network-based systems are now the state-of-the-art in many robotics tasks, but their application in safety-critical domains remains dangerous without formal guarantees on network robustness. Small perturbations to sensor inputs…

Robotics · Computer Science 2020-03-10 Björn Lütjens , Michael Everett , Jonathan P. How

This survey samples from the ever-growing family of adaptive resonance theory (ART) neural network models used to perform the three primary machine learning modalities, namely, unsupervised, supervised and reinforcement learning. It…

Neural and Evolutionary Computing · Computer Science 2019-05-29 Leonardo Enzo Brito da Silva , Islam Elnabarawy , Donald C. Wunsch

In this article we propose a new deep learning approach to approximate operators related to parametric partial differential equations (PDEs). In particular, we introduce a new strategy to design specific artificial neural network (ANN)…

Numerical Analysis · Mathematics 2026-05-01 Arnulf Jentzen , Adrian Riekert , Philippe von Wurstemberger

Learning-based methods could provide solutions to many of the long-standing challenges in control. However, the neural networks (NNs) commonly used in modern learning approaches present substantial challenges for analyzing the resulting…

Machine Learning · Computer Science 2022-02-03 Michael Everett

Deep neural networks (DNNs) have been shown lack of robustness for the vulnerability of their classification to small perturbations on the inputs. This has led to safety concerns of applying DNNs to safety-critical domains. Several…

Machine Learning · Computer Science 2021-02-24 Jianlin Li , Pengfei Yang , Jiangchao Liu , Liqian Chen , Xiaowei Huang , Lijun Zhang

Artificial neural networks (ANNs) are essential tools in machine learning that have drawn increasing attention in neuroscience. Besides offering powerful techniques for data analysis, ANNs provide a new approach for neuroscientists to build…

Neurons and Cognition · Quantitative Biology 2020-09-25 Guangyu Robert Yang , Xiao-Jing Wang

Modeling and verifying real-world cyber-physical systems is challenging, which is especially so for complex systems where manually modeling is infeasible. In this work, we report our experience on combining model learning and abstraction…

Artificial Intelligence · Computer Science 2019-11-22 Jingyi Wang , Jun Sun , Yifan Jia , Shengchao Qin , Zhiwu Xu

Deep Convolution Neural Networks (CNNs) can easily be fooled by subtle, imperceptible changes to the input images. To address this vulnerability, adversarial training creates perturbation patterns and includes them in the training set to…

Computer Vision and Pattern Recognition · Computer Science 2022-09-19 Muzammal Naseer , Salman Khan , Munawar Hayat , Fahad Shahbaz Khan , Fatih Porikli

Precisely modeling complex systems like cyber-physical systems is challenging, which often render model-based system verification techniques like model checking infeasible. To overcome this challenge, we propose a method called LAR to…

Software Engineering · Computer Science 2019-11-21 Jingyi Wang , Jun Sun , Shengchao Qin , Cyrille Jegourel

Neural abstractions have been recently introduced as formal approximations of complex, nonlinear dynamical models. They comprise a neural ODE and a certified upper bound on the error between the abstract neural network and the concrete…

Logic in Computer Science · Computer Science 2023-10-03 Alec Edwards , Mirco Giacobbe , Alessandro Abate

To defend deep neural networks from adversarial attacks, adversarial training has been drawing increasing attention for its effectiveness. However, the accuracy and robustness resulting from the adversarial training are limited by the…

Computer Vision and Pattern Recognition · Computer Science 2024-05-10 Yuwei Ou , Yuqi Feng , Yanan Sun
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