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Often one has a preference order among the different systems that satisfy a given specification. Under a probabilistic assumption about the possible inputs, such a preference order is naturally expressed by a weighted automaton, which…

Logic in Computer Science · Computer Science 2011-04-15 Krishnendu Chatterjee , Thomas A. Henzinger , Barbara Jobstmann , Rohit Singh

In this paper, we first introduce a lower bound technique for the state complexity of transformations of automata. Namely we suggest first considering the class of full automata in lower bound analysis, and later reducing the size of the…

Logic in Computer Science · Computer Science 2015-07-01 Qiqi Yan

Inspired by regularization techniques in statistics and machine learning, we study complementary composite minimization in the stochastic setting. This problem corresponds to the minimization of the sum of a (weakly) smooth function endowed…

Machine Learning · Computer Science 2024-01-24 Alexandre d'Aspremont , Cristóbal Guzmán , Clément Lezane

Given an infeasible, unbounded, or pathological convex optimization problem, a natural question to ask is: what is the smallest change we can make to the problem's parameters such that the problem becomes solvable? In this paper, we address…

Optimization and Control · Mathematics 2020-01-30 Shane Barratt , Guillermo Angeris , Stephen Boyd

Data inconsistency evaluating and repairing are major concerns in data quality management. As the basic computing task, optimal subset repair is not only applied for cost estimation during the progress of database repairing, but also…

Databases · Computer Science 2020-01-14 Dongjing Miao , Zhipeng Cai , Jianzhong Li , Xiangyu Gao , Xianmin Liu

The goal of model-based diagnosis is to isolate causes of anomalous system behavior and recommend inexpensive repair actions in response. In general, precomputing optimal repair policies is intractable. To date, investigators addressing…

Artificial Intelligence · Computer Science 2013-02-21 Sampath Srinivas , Eric J. Horvitz

In distributed storage systems reliability is achieved through redundancy stored at different nodes in the network. Then a data collector can reconstruct source information even though some nodes fail. To maintain reliability, an autonomous…

Information Theory · Computer Science 2013-03-26 Majid Gerami , Ming Xiao , Mikael Skoglund , Kenneth W. Shum , Dengsheng Lin

As robots are being integrated into our daily lives, it becomes necessary to provide guarantees on the safe and provably correct operation. Such guarantees can be provided using automata theoretic task and mission planning where the…

Systems and Control · Computer Science 2014-11-27 Kangjin Kim , Georgios E. Fainekos , Sriram Sankaranarayanan

Finite automata on infinite words ($\omega$-automata) proved to be a powerful weapon for modeling and reasoning infinite behaviors of reactive systems. Complementation of $\omega$-automata is crucial in many of these applications. But the…

Logic in Computer Science · Computer Science 2011-09-20 Yang Cai , Ting Zhang

We consider the following \emph{model repair problem}: given a finite Kripke structure $M$ and a specification formula $\eta$ in some modal or temporal logic, determine if $M$ contains a substructure $M'$ (with the same initial state) that…

Logic in Computer Science · Computer Science 2008-04-15 Paul C. Attie , Jad Saklawi

Price-based revenue management is an important problem in operations management with many practical applications. The problem considers a retailer who sells a product (or multiple products) over $T$ consecutive time periods and is subject…

Optimization and Control · Mathematics 2021-01-01 Yining Wang , He Wang

The problem of exact repair of a failed node in multi-hop networked distributed storage systems is considered. Contrary to the most of the current studies which model the repair process by the direct links from surviving nodes to the new…

Information Theory · Computer Science 2014-01-14 Majid Gerami , Ming Xiao

This paper presents an abstraction-refinement method to synthesize control inputs for a discrete-time piecewise linear system. The controlled system behavior satisfies a finite-word linear-time temporal objective while incurring minimal…

Optimization and Control · Mathematics 2017-09-07 Yoke Peng Leong , Pavithra Prabhakar

We study algorithmic barriers to detecting and repairing a systematic form of structural overspecification in adaptive data-structure selection. An input instance induces an implied workload signature, such as ordering, sparsity, dynamism,…

Computational Complexity · Computer Science 2026-03-27 Faruk Alpay , Levent Sarioglu

We revisit the optimal control problem with maximum cost with the objective to provide different equivalent reformulations suitable to numerical methods. We propose two reformulations in terms of extended Mayer problems with constraint, and…

Optimization and Control · Mathematics 2022-02-28 Emilio Molina , Alain Rapaport , Hector Ramirez

This paper studies the problem of maximizing the sum of traces of matrix quadratic forms on a product of Stiefel manifolds. This orthogonal trace-sum maximization (OTSM) problem generalizes many interesting problems such as generalized…

Optimization and Control · Mathematics 2021-02-09 Joong-Ho Won , Hua Zhou , Kenneth Lange

This paper studies the synthesis of controllers for discrete-time, continuous state stochastic systems subject to omega-regular specifications using finite-state abstractions. We present a synthesis algorithm for minimizing or maximizing…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Maxence Dutreix , Jeongmin Huh , Samuel Coogan

We show how to automatically construct a system that satisfies a given logical specification and has an optimal average behavior with respect to a specification with ratio costs. When synthesizing a system from a logical specification, it…

Logic in Computer Science · Computer Science 2011-02-22 Christian von Essen , Barbara Jobstmann

The current article is an interdisciplinary attempt to decipher automatic program repair processes. The review is done by the manner typical to human science known as diffraction. We attempt to spot a gap in the literature of self-healing…

Software Engineering · Computer Science 2020-11-06 S. Amirhossein Mousavi , Donya Azizi Babani , Francesco Flammini

Automata over infinite words, also known as omega-automata, play a key role in the verification and synthesis of reactive systems. The spectrum of omega-automata is defined by two characteristics: the acceptance condition (e.g. B\"uchi or…

Formal Languages and Automata Theory · Computer Science 2021-01-01 Rayna Dimitrova , Bernd Finkbeiner , Hazem Torfah
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