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This paper draws on diverse areas of computer science to develop a unified view of computation: (1) Optimization in operations research, where a numerical objective function is maximized under constraints, is generalized from the numerical…

Artificial Intelligence · Computer Science 2013-02-11 A. Nait Abdallah , M. H. van Emden

Bound propagation based incomplete neural network verifiers such as CROWN are very efficient and can significantly accelerate branch-and-bound (BaB) based complete verification of neural networks. However, bound propagation cannot fully…

Machine Learning · Computer Science 2021-11-02 Shiqi Wang , Huan Zhang , Kaidi Xu , Xue Lin , Suman Jana , Cho-Jui Hsieh , J. Zico Kolter

Selecting optimal kernels for regression in physical systems remains a challenge, often relying on trial-and-error with standard functions. In this work, we establish a mathematical correspondence between support vector machine kernels and…

Quantum Physics · Physics 2026-01-05 Nan-Hong Kuo , Renata Wong

This thesis is concerned with the design of distributed algorithms for solving optimization problems. We consider networks where each node has exclusive access to a cost function, and design algorithms that make all nodes cooperate to find…

Optimization and Control · Mathematics 2013-12-03 João F. C. Mota

The effectiveness of projection methods for solving systems of linear inequalities is investigated. It is shown that they have a computational advantage over some alternatives and that this makes them successful in real-world applications.…

Optimization and Control · Mathematics 2009-12-23 Y. Censor , W. Chen , P. L. Combettes , R. Davidi , G. T. Herman

The squashed entanglement is a widely used entanglement measure that has many desirable properties. However, as it is based on an optimization over extensions of arbitrary dimension, one drawback of this measure is the lack of good…

Quantum Physics · Physics 2022-03-08 Hamza Fawzi , Omar Fawzi

Conformal prediction is a popular, modern technique for providing valid predictive inference for arbitrary machine learning models. Its validity relies on the assumptions of exchangeability of the data, and symmetry of the given model…

Methodology · Statistics 2023-03-20 Rina Foygel Barber , Emmanuel J. Candes , Aaditya Ramdas , Ryan J. Tibshirani

Constraint satisfaction is a critical component in a wide range of engineering applications, including but not limited to safe multi-agent control and economic dispatch in power systems. This study explores violation-free distributed…

Optimization and Control · Mathematics 2024-04-12 Changxin Liu , Xiao Tan , Xuyang Wu , Dimos V. Dimarogonas , Karl H. Johansson

This paper introduces a new communication abstraction, called Set-Constrained Delivery Broadcast (SCD-broadcast), whose aim is to provide its users with an appropriate abstraction level when they have to implement objects or distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-19 Damien Imbs , Achour Mostefaoui , Matthieu Perrin , Michel Raynal

We study which outcomes are implementable by disclosing coarse statistics of a data-generating process rather than its full distribution. Players observe data whose joint distribution is only partially known: they know the expectations of…

Theoretical Economics · Economics 2026-05-11 Francesco Giordano

Carrying Code (ACC) has recently been proposed as a framework for mobile code safety in which the code supplier provides a program together with an abstraction (or abstract model of the program) whose validity entails compliance with a…

Programming Languages · Computer Science 2010-10-22 Elvira Albert , Puri Arenas , Germán Puebla , Manuel Hermenegildo

Combining a set of existing constraint solvers into an integrated system of cooperating solvers is a useful and economic principle to solve hybrid constraint problems. In this paper we show that this approach can also be used to integrate…

Programming Languages · Computer Science 2007-05-23 Petra Hofstedt , Peter Pepper

Conformal prediction is a non-parametric technique for constructing prediction intervals or sets from arbitrary predictive models under the assumption that the data is exchangeable. It is popular as it comes with theoretical guarantees on…

Machine Learning · Statistics 2025-12-01 Jase Clarkson , Wenkai Xu , Mihai Cucuringu , Yvik Swan , Gesine Reinert

This paper presents a novel selective constraint propagation method for constrained image segmentation. In the literature, many pairwise constraint propagation methods have been developed to exploit pairwise constraints for cluster…

Computer Vision and Pattern Recognition · Computer Science 2015-02-06 Peng Han

In this paper we investigate how standard nonlinear programming algorithms can be used to solve constrained optimization problems in a distributed manner. The optimization setup consists of a set of agents interacting through a…

Optimization and Control · Mathematics 2017-07-18 Ion Matei , John S. Baras

Correctness is a necessary condition for systems to be effective in meeting human demands, thus playing a critical role in system development. However, correctness often manifests as a nebulous concept in practice, leading to challenges in…

Programming Languages · Computer Science 2024-02-23 Yepeng Ding

In this paper, we identify partial correlation information structures that allow for simpler reformulations in evaluating the maximum expected value of mixed integer linear programs with random objective coefficients. To this end, assuming…

Optimization and Control · Mathematics 2018-10-25 Divya Padmanabhan , Karthik Natarajan , Karthyek R. A. Murthy

Provenance is an increasing concern due to the ongoing revolution in sharing and processing scientific data on the Web and in other computer systems. It is proposed that many computer systems will need to become provenance-aware in order to…

Programming Languages · Computer Science 2014-01-06 Umut A. Acar , Amal Ahmed , James Cheney , Roly Perera

Incomplete factorizations have long been popular general-purpose algebraic preconditioners for solving large sparse linear systems of equations. Guaranteeing the factorization is breakdown free while computing a high quality preconditioner…

Numerical Analysis · Mathematics 2025-02-04 Jennifer Scott , Miroslav Tůma

Quantum bits have technological imperfections. Additionally, the capacity of a component that can be implemented feasibly is limited. Therefore, distributed quantum computation is required to scale up quantum computers. This dissertation…

Quantum Physics · Physics 2017-04-11 Shota Nagayama