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This paper presents a specification-guided safety verification method for feedforward neural networks with general activation functions. As such feedforward networks are memoryless, they can be abstractly represented as mathematical…

Machine Learning · Computer Science 2018-12-18 Weiming Xiang , Hoang-Dung Tran , Taylor T. Johnson

With the continuous advancement in autonomous systems, it becomes crucial to provide robust safety guarantees for safety-critical systems. Hamilton-Jacobi Reachability Analysis is a formal verification method that guarantees performance and…

Systems and Control · Electrical Eng. & Systems 2024-01-01 Qian Wang , Tianhao Wu

High sensitivity of neural networks against malicious perturbations on inputs causes security concerns. To take a steady step towards robust classifiers, we aim to create neural network models provably defended from perturbations. Prior…

Computer Vision and Pattern Recognition · Computer Science 2018-11-02 Yusuke Tsuzuku , Issei Sato , Masashi Sugiyama

Deep Reinforcement Learning (RL) has shown remarkable success in robotics with complex and heterogeneous dynamics. However, its vulnerability to unknown disturbances and adversarial attacks remains a significant challenge. In this paper, we…

Robotics · Computer Science 2024-10-01 Hanyang Hu , Xilun Zhang , Xubo Lyu , Mo Chen

To reduce the computational cost of humanoid motion generation, we introduce a new approach to representing robot kinematic reachability: the differentiable reachability map. This map is a scalar-valued function defined in the task space…

Robotics · Computer Science 2025-08-18 Masaki Murooka , Iori Kumagai , Mitsuharu Morisawa , Fumio Kanehiro

Distributional reinforcement learning improves performance by capturing environmental stochasticity, but a comprehensive theoretical understanding of its effectiveness remains elusive. In addition, the intractable element of the infinite…

Machine Learning · Computer Science 2025-05-14 Taehyun Cho , Seungyub Han , Seokhun Ju , Dohyeong Kim , Kyungjae Lee , Jungwoo Lee

We consider a class of learning problem of point estimation for modeling high-dimensional nonlinear functions, whose learning dynamics is guided by model training dataset, while the estimated parameter in due course provides an acceptable…

Optimization and Control · Mathematics 2024-10-29 Getachew K. Befekadu

This paper presents a framework for deep transfer learning, which aims to leverage information from multi-domain upstream data with a large number of samples $n$ to a single-domain downstream task with a considerably smaller number of…

Machine Learning · Computer Science 2025-01-07 Yuling Jiao , Huazhen Lin , Yuchen Luo , Jerry Zhijian Yang

Reinforcement learning (RL) is effective in many robotic applications, but it requires extensive exploration of the state-action space, during which behaviors can be unsafe. This significantly limits its applicability to large robots with…

Robotics · Computer Science 2026-01-05 Mehdi Heydari Shahna , Pauli Mustalahti , Jouni Mattila

This paper presents a safe learning framework that employs an adaptive model learning algorithm together with barrier certificates for systems with possibly nonstationary agent dynamics. To extract the dynamic structure of the model, we use…

Machine Learning · Computer Science 2019-08-07 Motoya Ohnishi , Li Wang , Gennaro Notomista , Magnus Egerstedt

Risk assessment is a crucial component of collision warning and avoidance systems in intelligent vehicles. To accurately detect potential vehicle collisions, reachability-based formal approaches have been developed to ensure driving safety,…

Robotics · Computer Science 2023-06-02 Xinwei Wang , Zirui Li , Javier Alonso-Mora , Meng Wang

We propose a novel hierarchical reinforcement learning framework for quadruped locomotion over challenging terrain. Our approach incorporates a two-layer hierarchy in which a high-level policy (HLP) selects optimal goals for a low-level…

Robotics · Computer Science 2025-06-26 Jeremiah Coholich , Muhammad Ali Murtaza , Seth Hutchinson , Zsolt Kira

Reinforcement Learning (RL) has been shown to be effective in many scenarios. However, it typically requires the exploration of a sufficiently large number of state-action pairs, some of which may be unsafe. Consequently, its application to…

Systems and Control · Electrical Eng. & Systems 2022-06-24 Yousef Emam , Gennaro Notomista , Paul Glotfelter , Zsolt Kira , Magnus Egerstedt

Model-based reinforcement learning (RL) has emerged as a promising tool for developing controllers for real world systems (e.g., robotics, autonomous driving, etc.). However, real systems often have constraints imposed on their state space…

Machine Learning · Computer Science 2020-10-22 Akshita Gupta , Inseok Hwang

Abstracting neural networks with constraints they impose on their inputs and outputs can be very useful in the analysis of neural network classifiers and to derive optimization-based algorithms for certification of stability and robustness…

Machine Learning · Computer Science 2021-05-04 Navid Hashemi , Justin Ruths , Mahyar Fazlyab

Traditional reachability methods provide formal guarantees of safety under bounded disturbances. However, they strictly enforce state constraints as inviolable, which can result in overly conservative or infeasible solutions in complex…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Chams Eddine Mballo , Donggun Lee , Claire J. Tomlin

We consider a stochastic version of the proximal point algorithm for optimization problems posed on a Hilbert space. A typical application of this is supervised learning. While the method is not new, it has not been extensively analyzed in…

Optimization and Control · Mathematics 2021-09-28 Monika Eisenmann , Tony Stillfjord , Måns Williamson

We consider a challenging theoretical problem in offline reinforcement learning (RL): obtaining sample-efficiency guarantees with a dataset lacking sufficient coverage, under only realizability-type assumptions for the function…

Machine Learning · Computer Science 2022-06-16 Jinglin Chen , Nan Jiang

We consider the offline reinforcement learning problem, where the aim is to learn a decision making policy from logged data. Offline RL -- particularly when coupled with (value) function approximation to allow for generalization in large or…

Machine Learning · Computer Science 2022-08-31 Dylan J. Foster , Akshay Krishnamurthy , David Simchi-Levi , Yunzong Xu

Continual learning is an emerging paradigm in machine learning, wherein a model is exposed in an online fashion to data from multiple different distributions (i.e. environments), and is expected to adapt to the distribution change.…

Machine Learning · Computer Science 2022-03-29 Binghui Peng , Andrej Risteski
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