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Numerous tasks at the core of statistics, learning and vision areas are specific cases of ill-posed inverse problems. Recently, learning-based (e.g., deep) iterative methods have been empirically shown to be useful for these problems.…

Computer Vision and Pattern Recognition · Computer Science 2018-08-17 Risheng Liu , Shichao Cheng , Yi He , Xin Fan , Zhouchen Lin , Zhongxuan Luo

The performance of state-of-the-art offline RL methods varies widely over the spectrum of dataset qualities, ranging from far-from-optimal random data to close-to-optimal expert demonstrations. We re-implement these methods to test their…

Machine Learning · Computer Science 2022-01-20 Lionel Blondé , Alexandros Kalousis , Stéphane Marchand-Maillet

Probabilistic automata are an extension of nondeterministic finite automata in which transitions are annotated with probabilities. Despite its simplicity, this model is very expressive and many of the associated algorithmic questions are…

Formal Languages and Automata Theory · Computer Science 2022-05-20 Nathanaël Fijalkow , Cristian Riveros , James Worrell

Conventional inverse optimization inputs a solution and finds the parameters of an optimization model that render a given solution optimal. The literature mostly focuses on inferring the objective function in linear problems when accepted…

Optimization and Control · Mathematics 2024-10-10 Houra Mahmoudzadeh , Kimia Ghobadi

A Vertical Takeoff and Landing (VTOL) aircraft is capable of short/vertical takeoffs and landings, thus eliminating the requirement of long runways. This feature makes them suitable for a broader variety of missions, generally not…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Kinza Rehman , Hafiz Zeeshan Iqbal Khan , Muhammad Farooq Haydar

Inverse optimal transport (OT) refers to the problem of learning the cost function for OT from observed transport plan or its samples. In this paper, we derive an unconstrained convex optimization formulation of the inverse OT problem,…

Machine Learning · Computer Science 2021-07-06 Shaojun Ma , Haodong Sun , Xiaojing Ye , Hongyuan Zha , Haomin Zhou

With the goal of moving towards implementation of increasingly dynamic behaviors on underactuated systems, this paper presents an optimization-based approach for solving full-body dynamics based controllers on underactuated bipedal robots.…

Robotics · Computer Science 2020-04-03 Jenna Reher , Claudia Kann , Aaron D. Ames

Inverse optimal control (IOC) is about estimating an unknown objective of interest given its optimal control sequence. However, truly optimal demonstrations are often difficult to obtain, e.g., due to human errors or inaccurate…

Systems and Control · Electrical Eng. & Systems 2023-12-07 Rahel Rickenbach , Anna Scampicchio , Melanie N. Zeilinger

We investigate the complexity of the satisfiability problem for a modal logic expressing `knowing how' assertions, related to an agent's abilities to achieve a certain goal. We take one of the most standard semantics for this kind of logics…

Logic in Computer Science · Computer Science 2023-10-02 Carlos Areces , Valentin Cassano , Raul Fervari , Pablo Castro , Andres Saravia

The safety of infinite state systems can be checked by a backward reachability procedure. For certain classes of systems, it is possible to prove the termination of the procedure and hence conclude the decidability of the safety problem.…

Logic in Computer Science · Computer Science 2015-07-01 Silvio Ghilardi , Silvio Ranise

We study inverse reinforcement learning (IRL) and imitation learning (IM), the problems of recovering a reward or policy function from expert's demonstrated trajectories. We propose a new way to improve the learning process by adding a…

Machine Learning · Computer Science 2022-08-23 The Viet Bui , Tien Mai , Patrick Jaillet

The paper introduces an interactive machine learning mechanism to process the measurements of an uncertain, nonlinear dynamic process and hence advise an actuation strategy in real-time. For concept demonstration, a trajectory-following…

Systems and Control · Electrical Eng. & Systems 2023-03-16 Mohammed Abouheaf , Derek Boase , Wail Gueaieb , Davide Spinello , Salah Al-Sharhan

In the last two decades, modal and description logics have been applied to numerous areas of computer science, including knowledge representation, formal verification, database theory, distributed computing and, more recently, semantic web…

Logic in Computer Science · Computer Science 2014-01-16 Roberto Sebastiani , Michele Vescovi

We consider the value 1 problem for probabilistic automata over finite words: it asks whether a given probabilistic automaton accepts words with probability arbitrarily close to 1. This problem is known to be undecidable. However, different…

Formal Languages and Automata Theory · Computer Science 2017-09-12 Nathanaël Fijalkow

Offline or batch reinforcement learning seeks to learn a near-optimal policy using history data without active exploration of the environment. To counter the insufficient coverage and sample scarcity of many offline datasets, the principle…

Machine Learning · Computer Science 2022-06-14 Laixi Shi , Gen Li , Yuting Wei , Yuxin Chen , Yuejie Chi

We consider the maximum likelihood estimation of sparse inverse covariance matrices. We demonstrate that current heuristic approaches primarily encourage robustness, instead of the desired sparsity. We give a novel approach that solves the…

Machine Learning · Statistics 2021-11-08 Dimitris Bertsimas , Jourdain Lamperski , Jean Pauphilet

Automata learning has been successfully applied in the verification of hardware and software. The size of the automaton model learned is a bottleneck for scalability, and hence optimizations that enable learning of compact representations…

Formal Languages and Automata Theory · Computer Science 2019-11-04 Gerco van Heerdt , Matteo Sammartino , Alexandra Silva

In this paper, the solvability of the Inverse Optimal Control (IOC) problem based on two existing minimum principal methods, is analysed. The aim of this work is to answer the question regarding what kinds of trajectories, that is depending…

Optimization and Control · Mathematics 2024-03-15 Afreen Islam , Guido Herrmann , Joaquin Carrasco

We present novel algorithms solving the satisfiability problem and the model checking problem for Visibly Linear Dynamic Logic (VLDL) in asymptotically optimal time via a reduction to the emptiness problem for tree automata with B\"uchi…

Logic in Computer Science · Computer Science 2017-08-03 Alexander Weinert

Stably inverting a dynamic system model is the foundation of numerous servo designs. Existing inversion techniques have provided accurate model approximations that are often highly effective in feedforward controls. However, when the…

Systems and Control · Computer Science 2019-11-19 Dan Wang , Xu Chen