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We study the optimal contract problem in the \emph{combinatorial actions} framework of D\"utting et al.~[FOCS'21], where a principal delegates a project to an agent who chooses a subset of hidden, costly actions, and the resulting reward is…

Computer Science and Game Theory · Computer Science 2026-03-17 Michal Feldman , Liat Yashin

The classification of separable operator spaces and systems is commonly believed to be intractable. We analyze this belief from the point of view of Borel complexity theory. On one hand we confirm that the classification problems for…

Operator Algebras · Mathematics 2016-02-22 Martín Argerami , Samuel Coskey , Mehrdad Kalantar , Matthew Kennedy , Martino Lupini , Marcin Sabok

We present a functional calculus treatment of Entropic Optimal Transport (EOT) between Gaussian measures on separable Hilbert spaces, providing a unified framework that handles infinite-dimensional degeneracy. By leveraging the notion of…

Optimization and Control · Mathematics 2026-05-27 Ho Yun

We define and discuss the properties of a class of cost functions on the sphere which we term defective cost functions. We then discuss how to extend these definitions and some properties to cost functions defined on Euclidean space and on…

Analysis of PDEs · Mathematics 2024-06-05 Axel G. R. Turnquist

A subset of a set of terminals that observe correlated signals seek to compute a given function of the signals using public communication. It is required that the value of the function be kept secret from an eavesdropper with access to the…

Information Theory · Computer Science 2010-07-20 Himanshu Tyagi , Prakash Narayan , Piyush Gupta

Callbacks are essential in many programming environments, but drastically complicate program understanding and reasoning because they allow to mutate object's local states by external objects in unexpected fashions, thus breaking…

Programming Languages · Computer Science 2018-01-15 Shelly Grossman , Ittai Abraham , Guy Golan-Gueta , Yan Michalevsky , Noam Rinetzky , Mooly Sagiv , Yoni Zohar

This paper studies dynamic complexity under definable change operations in the DynFO framework by Patnaik and Immerman. It is shown that for changes definable by parameter-free first-order formulas, all (uniform) $AC^1$ queries can be…

Logic in Computer Science · Computer Science 2017-01-11 Thomas Schwentick , Nils Vortmeier , Thomas Zeume

We study the consistency of stochastic dynamic programs under converging probability distributions and other approximations. Utilizing results on the epi-convergence of expectation functions with varying measures and integrands, and the…

Optimization and Control · Mathematics 2025-08-26 Dominic S. T. Keehan , Johannes O. Royset

An elimination tree of a connected graph $G$ is a rooted tree on the vertices of $G$ obtained by choosing a root $v$ and recursing on the connected components of $G-v$ to obtain the subtrees of $v$. The graph associahedron of $G$ is a…

Data Structures and Algorithms · Computer Science 2026-03-24 Luís Felipe I. Cunha , Ignasi Sau , Uéverton S. Souza , Mario Valencia-Pabon

The Euler characteristic transform (ECT) is a signature from topological data analysis (TDA) which summarises shapes embedded in Euclidean space. Compared with other TDA methods, the ECT is fast to compute and it is a sufficient statistic…

Statistics Theory · Mathematics 2023-03-24 Lewis Marsh , David Beers

The $J\bar T$ deformation, built from the components of the stress tensor and of a $U(1)$ current, is a universal irrelevant deformation of two-dimensional CFTs that preserves the left-moving conformal symmetry, while breaking locality on…

High Energy Physics - Theory · Physics 2019-05-22 Monica Guica

Strategic classification studies learning settings in which individuals can modify their features, at a cost, in order to influence the classifier's decision. A central question is how the sample complexity of the induced (strategic)…

Machine Learning · Computer Science 2026-05-15 Yuval Filmus , Shay Moran , Elizaveta Nesterova , Nir Rosenfeld , Alexander Shlimovich

Generic computability has been studied in group theory and we now study it in the context of classical computability theory. A set A of natural numbers is generically computable if there is a partial computable function f whose domain has…

Group Theory · Mathematics 2014-02-26 Carl G. Jockusch , Paul E. Schupp

A stable or locally-optimal cut of a graph is a cut whose weight cannot be increased by changing the side of a single vertex. In this paper we study Minimum Stable Cut, the problem of finding a stable cut of minimum weight. Since this…

Computational Complexity · Computer Science 2026-04-08 Michael Lampis

A new exact projective penalty method is proposed for the equivalent reduction of constrained optimization problems to nonsmooth unconstrained ones. In the method, the original objective function is extended to infeasible points by summing…

Optimization and Control · Mathematics 2023-12-05 Vladimir Norkin

Counters are an important abstraction in distributed computing, and play a central role in large scale geo-replicated systems, counting events such as web page impressions or social network "likes". Classic distributed counters, strongly…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-12 Paulo Sérgio Almeida , Carlos Baquero

In open-world settings, thermal infrared (TIR) image degradations continuously emerge and evolve, while most existing all-in-one restoration methods are built on a closed-set assumption and struggle to continually adapt to novel…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Pu Li , Huafeng Li , Yafei Zhang , Wen Wang , Neng Dong , Jie Wen

In recent years, many network perturbation techniques, such as topological perturbations and service perturbations, were employed to study and improve the robustness of complex networks. However, there is no general way to evaluate the…

Statistical Mechanics · Physics 2010-10-25 D. Liu , H. Wang , P. Van Mieghem

This paper is concerned with the local reducibility properties of linear realizations of codes on finite graphs. Trimness and properness are dual properties of constraint codes. A linear realization is locally reducible if any constraint…

Information Theory · Computer Science 2016-11-18 G. David Forney, , Heide Gluesing-Luerssen

This paper addresses the practical challenge in Entropic Optimal Transport (EOT) where the underlying ground cost function is typically latent and unobserved. Rather than assuming a fixed geometric cost, we adopt a data-driven approach…

Optimization and Control · Mathematics 2026-05-13 Antoine Debouchage , Xiaozhen Wang , Zhenjie Ren , Francois Buet-Golfouse
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