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This paper deals with M$^2$-signals, namely multivariate (or vector-valued) signals defined over a multidimensional domain. In particular, we propose an optimization technique to solve the covariance extension problem for stationary random…

Optimization and Control · Mathematics 2020-09-18 Bin Zhu , Augusto Ferrante , Johan Karlsson , Mattia Zorzi

We consider the inverse problem of the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions of the Maxwell's system in 3D with limited boundary observations of the electric field. The theoretical…

Numerical Analysis · Mathematics 2015-12-03 Larisa Beilina , Michel Cristofol , Kati Niinimäki

The advancements in disentangled representation learning significantly enhance the accuracy of counterfactual predictions by granting precise control over instrumental variables, confounders, and adjustable variables. An appealing method…

Machine Learning · Computer Science 2024-06-17 Xinshu Li , Mingming Gong , Lina Yao

LECTURE GIVEN AT TH2002. Given a set of Boolean variables, and some constraints between them, is it possible to find a configuration of the variables which satisfies all constraints? This problem, which is at the heart of combinatorial…

Disordered Systems and Neural Networks · Physics 2009-11-07 Marc Mezard

Effect modification occurs when the effect of the treatment on an outcome differs according to the level of a third variable (the effect modifier, EM). A natural way to assess effect modification is by subgroup analysis or include the…

Methodology · Statistics 2021-12-22 Asma Bahamyirou , Mireille E. Schnitzer , Edward H. Kennedy , Lucie Blais , Yi Yang

Complex system design problems, such as those involved in aerospace engineering, require the use of numerically costly simulation codes in order to predict the performance of the system to be designed. In this context, these codes are often…

Optimization and Control · Mathematics 2024-02-14 Loic Brevault , Mathieu Balesdent

This paper introduces a framework for Chance-Constrained Optimization with Complex Variables, addressing complex linear programming for both individual and joint probabilistic constraints in the complex domain. We first analyze the 3CP…

Optimization and Control · Mathematics 2026-05-25 Raneem Madani , Abdel Lisser , Zeno Toffano

We are interested in existence results for second order differential inclusions, involving finite number of unilateral constraints in an abstract framework. These constraints are described by a set-valued operator, more precisely a proximal…

Classical Analysis and ODEs · Mathematics 2010-03-10 Frederic Bernicot , Aline Lefebvre-Lepot

This paper proposes a method for modeling event sequences with ambiguous timestamps, a time-discounting convolution. Unlike in ordinary time series, time intervals are not constant, small time-shifts have no significant effect, and…

Machine Learning · Computer Science 2018-12-07 Takayuki Katsuki , Takayuki Osogami , Akira Koseki , Masaki Ono , Michiharu Kudo , Masaki Makino , Atsushi Suzuki

We provide guarantees for learning latent variable models emphasizing on the overcomplete regime, where the dimensionality of the latent space can exceed the observed dimensionality. In particular, we consider multiview mixtures, spherical…

Machine Learning · Computer Science 2014-12-18 Animashree Anandkumar , Rong Ge , Majid Janzamin

Recently, much progress has been made on techniques to measure the masses of new particles with partially-invisible decays at a hadron collider. We examine for the first time the realistic application of MT2-based measurement methods to a…

High Energy Physics - Phenomenology · Physics 2013-05-30 David Curtin

Second-order Moller-Plesset perturbation theory (MP2) provides accurate correlation energies for periodic systems but suffers from finite-size errors (FSEs) that have inverse volume scaling due to the Coulomb kernel singularity in…

Computational Physics · Physics 2026-05-14 Stephen Jon Quiton , Juan D. F. Pottecher , Martin Head-Gordon , Lin Lin

In the second paper of this series we extend our Bayesian reanalysis of the evidence for a cosmic variation of the fine structure constant to the semi-parametric modelling regime. By adopting a mixture of Dirichlet processes prior for the…

Instrumentation and Methods for Astrophysics · Physics 2013-09-12 Ewan Cameron , Tony Pettitt

We explored the challenge of predicting and explaining the occurrence of events within sequences of data points. Our focus was particularly on scenarios in which unknown triggers causing the occurrence of events may consist of…

Machine Learning · Computer Science 2024-06-11 Harrison Lam , Yuanjie Chen , Noboru Kanazawa , Mohammad Chowdhury , Anna Battista , Stephan Waldert

A general methodology is introduced for the construction and effective application of control variates to estimation problems involving data from reversible MCMC samplers. We propose the use of a specific class of functions as control…

Computation · Statistics 2010-08-10 Petros Dellaportas , Ioannis Kontoyiannis

A generalized multisensor sequential change detection problem is considered, in which a number of (possibly correlated) sensors monitor an environment in real time, the joint distribution of their observations is determined by a global…

Applications · Statistics 2016-01-12 Georgios Fellouris , Grigory Sokolov

Robust optimization is a framework for modeling optimization problems involving data uncertainty and during the last decades has been an area of active research. If we focus on linear programming (LP) problems with i) uncertain data, ii)…

Numerical Analysis · Computer Science 2017-02-15 Roberto Mínguez , Víctor Casero-Alonso

A singularly perturbed linear system of second order partial differential equations of parabolic reaction-diffusion type with given initial and boundary conditions is considered. The leading term of each equation is multiplied by a small…

Numerical Analysis · Mathematics 2010-08-17 V. Franklin , M. Paramasivam , S. Valarmathi , J. J. H. Miller

In this paper, we revisit the classical problem of solving over-determined systems of nonsmooth equations numerically. We suggest a nonsmooth Levenberg--Marquardt method for its solution which, in contrast to the existing literature, does…

Optimization and Control · Mathematics 2023-11-10 Lateef O. Jolaoso , Patrick Mehlitz , Alain B. Zemkoho

Latent variable models provide a powerful framework for incorporating and inferring unobserved factors in observational data. In causal inference, they help account for hidden factors influencing treatment or outcome, thereby addressing…

Machine Learning · Computer Science 2025-08-29 Tetsuro Morimura , Tatsushi Oka , Yugo Suzuki , Daisuke Moriwaki