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We consider low-order controller design for large-scale linear time-invariant dynamical systems with inputs and outputs. Model order reduction is a popular technique, but controllers designed for reduced-order models may result in unstable…

Optimization and Control · Mathematics 2018-03-20 Peter Benner , Tim Mitchell , Michael L. Overton

Linear implication can represent state transitions, but real transition systems operate under temporal, stochastic or probabilistic constraints that are not directly representable in ordinary linear logic. We propose a general modal…

Logic in Computer Science · Computer Science 2016-03-09 Joelle Despeyroux , Kaustuv Chaudhuri

Existing low-rank adaptation (LoRA) methods face challenges on sparse large language models (LLMs) due to the inability to maintain sparsity. Recent works introduced methods that maintain sparsity by augmenting LoRA techniques with…

Computation and Language · Computer Science 2025-01-16 Yuxuan Hu , Jing Zhang , Xiaodong Chen , Zhe Zhao , Cuiping Li , Hong Chen

This paper introduces algorithms for problems where a decision maker has to control a system composed of several components and has access to only partial information on the state of each component. Such problems are difficult because of…

Optimization and Control · Mathematics 2020-12-25 Victor Cohen , Axel Parmentier

We show that (local) confluence of terminating locally constrained rewrite systems is undecidable, even when the underlying theory is decidable. Several confluence criteria for logically constrained rewrite systems are known. These were…

Logic in Computer Science · Computer Science 2024-07-02 Jonas Schöpf , Fabian Mitterwallner , Aart Middeldorp

Considering patterns as sets of their instances, a difference operator over patterns computes a finite set of two given patterns, which represents the difference between the dividend pattern and the divisor pattern. A complement of a…

Logic in Computer Science · Computer Science 2025-07-09 Naoki Nishida , Misaki Kojima , Yuto Nakamura

Recent studies have demonstrated that correntropy is an efficient tool for analyzing higher-order statistical moments in nonGaussian noise environments. Although it has been used with complex data, some adaptations were then necessary…

Information Theory · Computer Science 2016-06-16 João P. F. Guimarães , Aluisio I. R. Fontes , Joilson B. A. Rego , Allan de M. Martins

The LLMSR@XLLM25 formulates a low-resource structural reasoning task that challenges LLMs to generate interpretable, step-by-step rationales with minimal labeled data. We present Less is More, the third-place winning approach in the…

Computation and Language · Computer Science 2025-05-14 Jiahao Yuan , Xingzhe Sun , Xing Yu , Jingwen Wang , Dehui Du , Zhiqing Cui , Zixiang Di

A lossy compression algorithm for binary redundant memoryless sources is presented. The proposed scheme is based on sparse graph codes. By introducing a nonlinear function, redundant memoryless sequences can be compressed. We propose a…

Information Theory · Computer Science 2011-08-19 Kazushi Mimura

We consider a method of pairwise variations for smooth optimization problems, which involve polyhedral constraints. It consists in making steps with respect to the difference of two selected extreme points of the feasible set together with…

Optimization and Control · Mathematics 2017-01-12 I. V. Konnov

Semidefinite programs (SDPs) often arise in relaxations of some NP-hard problems, and if the solution of the SDP obeys certain rank constraints, the relaxation will be tight. Decomposition methods based on chordal sparsity have already been…

Optimization and Control · Mathematics 2020-09-17 Jared Miller , Yang Zheng , Biel Roig-Solvas , Mario Sznaier , Antonis Papachristodoulou

The systematization of the purely Lagrangean approach to constrained systems in the form of an algorithm involves the iterative construction of a generalized Hessian matrix W taking a rectangular form. This Hessian will exhibit as many left…

High Energy Physics - Theory · Physics 2008-11-26 Heinz J. Rothe , Klaus D. Rothe

Machine learning systems impact many stakeholders and groups of users, often disparately. Prior studies have reconciled conflicting user preferences by aggregating a high volume of manually labeled pairwise comparisons, but this technique…

Computers and Society · Computer Science 2020-12-04 Ryan Steed , Benjamin Williams

Line codes make it possible to mitigate interference, to prevent short pulses, and to generate streams of bipolar signals with no direct-current (DC) power content through balancing. They find application in magnetic recording (MR) devices,…

Information Theory · Computer Science 2020-05-26 Ahmed Hareedy , Robert Calderbank

This paper introduces a novel constraint adaptive filtering algorithm based on a relative logarithmic cost function which is termed as Constrained Least Mean Logarithmic Square (CLMLS). The proposed CLMLS algorithm elegantly adjusts the…

Systems and Control · Computer Science 2018-01-22 Vinay Chakravarthi Gogineni , Subrahmanyam Mula

Linear implication can represent state transitions, but real transition systems operate under temporal, stochastic or probabilistic constraints that are not directly representable in ordinary linear logic. We propose a general modal…

Logic in Computer Science · Computer Science 2013-10-17 Kaustuv Chaudhuri , Joelle Despeyroux

Prompt-based methods have been used extensively across NLP to build zero- and few-shot label predictors. Many NLP tasks are naturally structured: that is, their outputs consist of multiple labels which constrain each other. Annotating data…

Computation and Language · Computer Science 2024-04-02 Maitrey Mehta , Valentina Pyatkin , Vivek Srikumar

This paper contributes to the area of inductive logic programming by presenting a new learning framework that allows the learning of weak constraints in Answer Set Programming (ASP). The framework, called Learning from Ordered Answer Sets,…

Artificial Intelligence · Computer Science 2020-02-19 Mark Law , Alessandra Russo , Krysia Broda

A linear parameter must be consumed exactly once in the body of its function. When declaring resources such as file handles and manually managed memory as linear arguments, a linear type system can verify that these resources are used…

Programming Languages · Computer Science 2022-07-25 Arnaud Spiwack , Csongor Kiss , Jean-Philippe Bernardy , Nicolas Wu , Richard Eisenberg

In this chapter, we introduce the relaxed inertial proximal splitting algorithm (RIPSA) for hierarchical equilibrium problems. Using Opial-Passty's lemma, we first establish weak ergodic and weak convergence of the sequence generated by the…

Optimization and Control · Mathematics 2025-09-30 Zakaria Mazgouri , Hassan Riahi , Michel Théra