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This paper explores a new class of constrained difference programming problems, where the objective and constraints are formulated as differences of functions, without requiring their convexity. To investigate such problems, novel variants…

Optimization and Control · Mathematics 2026-04-21 Boris S. Mordukhovich , Yixia Song , Shangzhi Zeng , Jin Zhang

Detectability of failures of linear programming (LP) decoding and its potential for improvement by adding new constraints motivate the use of an adaptive approach in selecting the constraints for the LP problem. In this paper, we make a…

Information Theory · Computer Science 2007-07-13 Mohammad H. Taghavi N. , Paul H. Siegel

In this work, the Bayesian approach to inverse problems is formulated in an all-at-once setting. The advantages of the all-at-once formulation are known to include the avoidance of a parameter-to-state map as well as numerical improvements,…

Numerical Analysis · Mathematics 2021-01-15 Anna Schlintl , Barbara Kaltenbacher

The notion of stiffness, which originated in several applications of a different nature, has dominated the activities related to the numerical treatment of differential problems for the last fifty years. Contrary to what usually happens in…

Numerical Analysis · Mathematics 2011-01-24 Luigi Brugnano , Francesca Mazzia , Donato Trigiante

In this paper we consider the problem of finding bounds on the prices of options depending on multiple assets without assuming any underlying model on the price dynamics, but only the absence of arbitrage opportunities. We formulate this as…

Optimization and Control · Mathematics 2022-06-06 Didier Henrion , Felix Kirschner , Etienne de Klerk , Milan Korda , Jean-Bernard Lasserre , Victor Magron

Disparate treatment occurs when a machine learning model yields different decisions for individuals based on a sensitive attribute (e.g., age, sex). In domains where prediction accuracy is paramount, it could potentially be acceptable to…

Machine Learning · Computer Science 2022-04-15 Hao Wang , Hsiang Hsu , Mario Diaz , Flavio P. Calmon

Restricting the variance of a policy's return is a popular choice in risk-averse Reinforcement Learning (RL) due to its clear mathematical definition and easy interpretability. Traditional methods directly restrict the total return…

Machine Learning · Computer Science 2023-11-06 Yudong Luo , Guiliang Liu , Pascal Poupart , Yangchen Pan

Community detection is an important problem in unsupervised learning. This paper proposes to solve a projection matrix approximation problem with an additional entrywise bounded constraint. Algorithmically, we introduce a new differentiable…

Social and Information Networks · Computer Science 2023-08-16 Zheng Zhai , Hengchao Chen , Qiang Sun

Electrical circuits are present in a variety of technologies, making their design an important part of computer aided engineering. The growing number of parameters that affect the final design leads to a need for new approaches to quantify…

Computational Engineering, Finance, and Science · Computer Science 2024-04-09 Idoia Cortes Garcia , Peter Förster , Lennart Jansen , Wil Schilders , Sebastian Schöps

Allen's Interval Algebra constitutes a framework for reasoning about temporal information in a qualitative manner. In particular, it uses intervals, i.e., pairs of endpoints, on the timeline to represent entities corresponding to actions,…

Artificial Intelligence · Computer Science 2019-09-04 Tomi Janhunen , Michael Sioutis

This work addresses certain ambiguities in the Dirac approach to constrained systems. Specifically, we investigate the space of so-called ``rigging maps'' associated with Refined Algebraic Quantization, a particular realization of the Dirac…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Domenico Giulini , Donald Marolf

Nowadays there are several classes of constrained codes intended for different applications. The following two large classes can be distinguished. The first class contains codes with local constraints; for example, the source data must be…

Information Theory · Computer Science 2024-05-27 Boris Ryabko

We investigate array separation logic (ASL), a variant of symbolic-heap separation logic in which the data structures are either pointers or arrays, i.e., contiguous blocks of allocated memory. This logic provides a language for…

Logic in Computer Science · Computer Science 2016-11-21 James Brotherston , Nikos Gorogiannis , Max Kanovich

Given only observational data $X = g(Z)$, where both the latent variables $Z$ and the generating process $g$ are unknown, recovering $Z$ is ill-posed without additional assumptions. Existing methods often assume linearity or rely on…

Machine Learning · Computer Science 2026-04-21 Yujia Zheng , Zijian Li , Shunxing Fan , Andrew Gordon Wilson , Kun Zhang

There has been concern within the artificial intelligence (AI) community and the broader society regarding the potential lack of fairness of AI-based decision-making systems. Surprisingly, there is little work quantifying and guaranteeing…

Machine Learning · Computer Science 2023-01-31 Wenbin Zhang , Jeremy C. Weiss

We derive a simple lower bound for the multi-version coding problem formulated in [1]. We also propose simple algorithms that almost match the lower bound derived. Another lower bound is proven for an extended version of the multi-version…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-24 Majid Khabbazian

Embedding models, which learn latent representations of users and items based on user-item interaction patterns, are a key component of recommendation systems. In many applications, contextual constraints need to be applied to refine…

Information Retrieval · Computer Science 2019-07-04 Syrine Krichene , Mike Gartrell , Clement Calauzenes

Integer programming with block structures has received considerable attention recently and is widely used in many practical applications such as train timetabling and vehicle routing problems. It is known to be NP-hard due to the presence…

Optimization and Control · Mathematics 2024-07-01 Rui Wang , Chuwen Zhang , Shanwen Pu , Jianjun Gao , Zaiwen Wen

This paper presents Privilege Calculus (PC) as a new approach of knowledge representation for Separation of Duty (SD) in the view of process and intents to improve the reconfigurability and traceability of SD. PC presumes that the structure…

Cryptography and Security · Computer Science 2008-06-10 Chenggong Lv , Jun Wang , Lu Liu , Weijia You

Chance-constrained programming (CCP) is one of the most difficult classes of optimization problems that has attracted the attention of researchers since the 1950s. In this survey, we focus on cases when only a limited information on the…

Optimization and Control · Mathematics 2022-02-15 Simge Küçükyavuz , Ruiwei Jiang