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The search for higher-order feature interactions that are statistically significantly associated with a class variable is of high relevance in fields such as Genetics or Healthcare, but the combinatorial explosion of the candidate space…

Machine Learning · Statistics 2019-05-13 Mahito Sugiyama , Karsten Borgwardt

We consider particles on a one-dimensional lattice whose evolution is governed by nearest-neighbor interactions where particles that have reached size zero are removed from the system. Concentrating on configurations with infinitely many…

Analysis of PDEs · Mathematics 2016-10-20 Michael Helmers , Barbara Niethammer , Juan J. L. Velazquez

Four-dimensional black hole solutions generated by the low energy string effective action are investigated outside and inside the event horizon. A restriction for a minimal black hole size is obtained in the frame of the model discussed.…

General Relativity and Quantum Cosmology · Physics 2008-02-03 S. O. Alexeyev , M. V. Pomazanov

This paper provides a brief overview for non-specialists of some of the highlights in the development of the theory of weak interactions during the past century.

High Energy Physics - Phenomenology · Physics 2015-06-11 Rabindra N. Mohapatra

This letter studies the Euler-alignment system with weakly singular influence functions by introducing a novel technique to bound the density. Instead of resorting to a nonlinear maximum principle used in [C. Tan, Nonlinearity, 33:…

Analysis of PDEs · Mathematics 2021-10-22 Manas Bhatnagar , Hailiang Liu

$N$-body non efimovian bound or quasi-bound states for particles with short range interactions are considered in arbitrary dimensions. The different resonance regimes near the threshold are depicted by using a generalization of the…

Quantum Gases · Physics 2024-10-09 Ludovic Pricoupenko

We consider repeated measurement designs when a residual or carry-over effect may be present in at most one later period. Since assuming an additive model may be unrealistic for some applications and leads to biased estimation of treatment…

Statistics Theory · Mathematics 2014-11-20 R. A. Bailey , P. Druilhet

We introduce and study invariants of singularities in positive characteristic called F-thresholds. They give an analogue of the jumping coefficients of multiplier ideals in characteristic zero. We discuss the connection between the…

Algebraic Geometry · Mathematics 2007-05-23 Mircea Mustata , Shunsuke Takagi , Kei-ichi Watanabe

Using mock observations of numerical simulations, we investigate the completeness and efficiency of searches for galaxy clusters in weak lensing surveys. While it is possible to search for high mass objects directly as density enhancements…

Astrophysics · Physics 2009-09-25 Martin White , Ludovic van Waerbeke , Jonathan Mackey

Synchronization is a fundamental phenomenon in complex systems, observed across a wide range of natural and engineered contexts. The Kuramoto model provides a foundational framework for understanding synchronization among coupled…

Adaptation and Self-Organizing Systems · Physics 2026-02-03 Riccardo Muolo , Hiroya Nakao , Marco Coraggio

We survey some recent results concerning the behaviour of the contact structure defined on the boundary of a complex isolated hypersurface singularity or on the boundary at infinity of a complex polynomial.

Complex Variables · Mathematics 2017-10-10 C. Caubel , M. Tibar

We revisit the classical monotone-follower problem and consider it in a generalized formulation. Our approach is based on a compactness substitute for nondecreasing processes, the Meyer-Zheng weak convergence, and the maximum principle of…

Optimization and Control · Mathematics 2016-10-14 Jiexian Li , Gordan Zitkovic

This paper addresses two related problems in optimal control. The first investigation consists of compatibility issues between two classical approaches to deriving necessary conditions for optimal control problems with a final target: the…

Optimization and Control · Mathematics 2026-03-13 Monica Motta , Michele Palladino , Franco Rampazzo

This paper concerns quantitative analysis of errors generated by incompletely known data in convex minimization problems. The problems are discussed in the mixed setting and the duality gap is used as the fundamental error measure. The…

Numerical Analysis · Mathematics 2015-06-17 Olli Mali

We study the interacting quintessence model with two different types of interaction by introducing a general parameterization of the quintessence potentials. The form of the quintessence potentials is arbitrary as the recent cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-27 Nandan Roy , Kazuharu Bamba

Although the Karush-Kuhn-Tucker conditions suggest a connection between a conic optimization problem and a complementarity problem, it is difficult to find an accessible explicit form of this relationship in the literature. This note will…

Optimization and Control · Mathematics 2016-07-19 S. Z. Németh , Guohan Zhang

The biduality and reflexivity theorems are known to hold for projective varieties defined over fields of characteristic zero, and to fail in positive characteristic. In this article, we construct a notion of reflexivity and biduality in…

Algebraic Geometry · Mathematics 2020-04-08 Aristides Kontogeorgis , Georgios Petroulakis

We reconsider the norm resolvent limit of $-\Delta + V_\ell$ with $V_\ell$ tending to a point interaction in three dimensions. We are mainly interested in potentials $V_\ell$ modelling short range interactions of cold atomic gases. In order…

Mathematical Physics · Physics 2014-02-21 Gerhard Bräunlich , Christian Hainzl , Robert Seiringer

In concurrency theory, weak bisimilarity is often used to relate processes exhibiting the same observable behaviour. The probabilistic environment gives rise to several generalisations; we study the infinitary semantics, which abstracts…

Logic in Computer Science · Computer Science 2018-10-18 Nick Fischer , Rob van Glabbeek

This work focuses on the problem of exact model reduction of positive linear systems, by leveraging minimal realization theory. While determining the existence of a positive reachable realization remains in general an open problem, we are…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Marco Cortese , Tommaso Grigoletto , Francesco Ticozzi , Augusto Ferrante