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Deep Neural Networks (DNN) have improved the quality of several non-safety related products in the past years. However, before DNNs should be deployed to safety-critical applications, their robustness needs to be systematically analyzed. A…

Neural networks can be used as approximations of several complex control schemes such as model predictive control. We show in this paper which properties deep neural networks with rectifier linear units as activation functions need to…

Systems and Control · Electrical Eng. & Systems 2020-04-02 Benjamin Karg , Sergio Lucia

This paper studies the evaluation of routing algorithms from the perspective of reachability routing, where the goal is to determine all paths between a sender and a receiver. Reachability routing is becoming relevant with the changing…

Networking and Internet Architecture · Computer Science 2007-05-23 Srinidhi Varadarajan , Naren Ramakrishnan

The brain is a nonlinear and highly Recurrent Neural Network (RNN). This RNN is surprisingly plastic and supports our astonishing ability to learn and execute complex tasks. However, learning is incredibly complicated due to the brain's…

Neural and Evolutionary Computing · Computer Science 2023-03-14 Mohammad Modiri

The great performance of machine learning algorithms and deep neural networks in several perception and control tasks is pushing the industry to adopt such technologies in safety-critical applications, as autonomous robots and self-driving…

Machine Learning · Computer Science 2025-09-10 Giulio Rossolini , Alessandro Biondi , Giorgio Buttazzo

Reinforcement Learning (RL) has demonstrated state-of-the-art results in a number of autonomous system applications, however many of the underlying algorithms rely on black-box predictions. This results in poor explainability of the…

Machine Learning · Computer Science 2019-11-27 Matt Benatan , Edward O. Pyzer-Knapp

Recent research studies revealed that neural networks are vulnerable to adversarial attacks. State-of-the-art defensive techniques add various adversarial examples in training to improve models' adversarial robustness. However, these…

Machine Learning · Computer Science 2019-09-13 Chang Song , Zuoguan Wang , Hai Li

Recent research shows that supervised learning can be an effective tool for designing near-optimal feedback controllers for high-dimensional nonlinear dynamic systems. But the behavior of neural network controllers is still not well…

Optimization and Control · Mathematics 2022-10-10 Tenavi Nakamura-Zimmerer , Qi Gong , Wei Kang

In this work, we present a novel Koopman spectrum-based reachability verification method for nonlinear systems. Contrary to conventional methods that focus on characterizing all potential states of a dynamical system over a presupposed time…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Jianqiang Ding , Shankar A. Deka

Deep convolutional neural networks have been widely employed as an effective technique to handle complex and practical problems. However, one of the fundamental problems is the lack of formal methods to analyze their behavior. To address…

Computer Vision and Pattern Recognition · Computer Science 2021-06-24 Xiaodong Yang , Tomoya Yamaguchi , Hoang-Dung Tran , Bardh Hoxha , Taylor T Johnson , Danil Prokhorov

Reinforcement learning (RL) is capable of sophisticated motion planning and control for robots in uncertain environments. However, state-of-the-art deep RL approaches typically lack safety guarantees, especially when the robot and…

Robotics · Computer Science 2022-11-22 Mahmoud Selim , Amr Alanwar , Shreyas Kousik , Grace Gao , Marco Pavone , Karl H. Johansson

Neural network controllers have shown potential in achieving superior performance in feedback control systems. Although a neural network can be trained efficiently using deep and reinforcement learning methods, providing formal guarantees…

Optimization and Control · Mathematics 2024-01-10 Han Wang , Zuxun Xiong , Liqun Zhao , Antonis Papachristodoulou

Recently backdoor attack has become an emerging threat to the security of deep neural network (DNN) models. To date, most of the existing studies focus on backdoor attack against the uncompressed model; while the vulnerability of compressed…

Cryptography and Security · Computer Science 2022-08-24 Huy Phan , Cong Shi , Yi Xie , Tianfang Zhang , Zhuohang Li , Tianming Zhao , Jian Liu , Yan Wang , Yingying Chen , Bo Yuan

Graph Neural Networks (GNNs) have gained popularity in numerous domains, yet they are vulnerable to backdoor attacks that can compromise their performance and ethical application. The detection of these attacks is crucial for maintaining…

Machine Learning · Computer Science 2026-05-12 Jane Downer , Ren Wang , Binghui Wang

We present a motion planning algorithm for a class of uncertain control-affine nonlinear systems which guarantees runtime safety and goal reachability when using high-dimensional sensor measurements (e.g., RGB-D images) and a learned…

Robotics · Computer Science 2022-08-25 Glen Chou , Necmiye Ozay , Dmitry Berenson

Deploying deep neural networks (DNNs) as core functions in autonomous driving creates unique verification and validation challenges. In particular, the continuous engineering paradigm of gradually perfecting a DNN-based perception can make…

Machine Learning · Computer Science 2021-09-28 Chih-Hong Cheng , Rongjie Yan

A control system consists of a plant component and a controller which periodically computes a control input for the plant. We consider systems where the controller is implemented by a feedforward neural network with ReLU activations. The…

Machine Learning · Computer Science 2024-12-10 Christian Schilling , Martin Zimmermann

Backward reachability analysis is essential to synthesizing controllers that ensure the correctness of closed-loop systems. This paper is concerned with developing scalable algorithms that under-approximate the backward reachable sets, for…

Systems and Control · Electrical Eng. & Systems 2022-08-29 Liren Yang , Hang Zhang , Jean-Baptiste Jeannin , Necmiye Ozay

Spiking Neural Networks (SNNs), the third generation neural networks, are known for their low energy consumption and high robustness. SNNs are developing rapidly and can compete with Artificial Neural Networks (ANNs) in many fields. To…

Cryptography and Security · Computer Science 2024-09-25 Lingxin Jin , Meiyu Lin , Wei Jiang , Jinyu Zhan

Learning reliably safe autonomous control is one of the core problems in trustworthy autonomy. However, training a controller that can be formally verified to be safe remains a major challenge. We introduce a novel approach for learning…

Machine Learning · Computer Science 2024-11-19 Junlin Wu , Huan Zhang , Yevgeniy Vorobeychik