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We introduce a flexible framework that produces high-quality almost-exact matches for causal inference. Most prior work in matching uses ad-hoc distance metrics, often leading to poor quality matches, particularly when there are irrelevant…

Methodology · Statistics 2023-06-09 Harsh Parikh , Cynthia Rudin , Alexander Volfovsky

The recursion relations of hierarchical models are studied and contrasted with functional renormalisation group equations in corresponding approximations. The formalisms are compared quantitatively for the Ising universality class, where…

High Energy Physics - Theory · Physics 2008-11-26 Daniel F. Litim

The homology cobordism group of homology cylinders is a generalization of both the mapping class group of surfaces and the string link concordance group. We consider extensions of Johnson homomorphisms of a mapping class group, Milnor…

Geometric Topology · Mathematics 2020-12-25 Minkyoung Song

We study the problem of approximating the value of the matching polynomial on graphs with edge parameter $\gamma$, where $\gamma$ takes arbitrary values in the complex plane. When $\gamma$ is a positive real, Jerrum and Sinclair showed that…

Discrete Mathematics · Computer Science 2021-01-13 Ivona Bezakova , Andreas Galanis , Leslie Ann Goldberg , Daniel Stefankovic

We give a complexity dichotomy theorem for the counting Constraint Satisfaction Problem (#CSP in short) with complex weights. To this end, we give three conditions for its tractability. Let F be any finite set of complex-valued functions,…

Computational Complexity · Computer Science 2015-03-19 Jin-Yi Cai , Xi Chen

We propose a new fast method to match factorization theorems applicable in different kinematical regions, such as the transverse-momentum-dependent and the collinear factorization theorems in Quantum Chromodynamics. At variance with…

High Energy Physics - Phenomenology · Physics 2018-04-04 Miguel G. Echevarria , Tomas Kasemets , Jean-Philippe Lansberg , Cristian Pisano , Andrea Signori

We explore the following problem: given a collection of creases on a piece of paper, each assigned a folding direction of mountain or valley, is there a flat folding by a sequence of simple folds? There are several models of simple folds;…

Several novel wind energy systems produce wakes with annular cross-sections, which are qualitatively different from the wakes with circular cross-sections commonly generated by conventional horizontal-axis wind turbines and by compact…

Fluid Dynamics · Physics 2021-09-27 Sam Kaufman-Martin , Nicholas Naclerio , Pedro May , Paolo Luzzatto-Fegiz

A class of smoothing methods is proposed for solving mathematical programs with equimibrium constraints. We introduce new and very simple regularizations of the complementarity constraints. Some estimate distance to optimal solution and…

Optimization and Control · Mathematics 2010-01-14 Mounir Haddou

Motivated by a use case in theoretical hadron physics, we revisit an application of a pole-sum fit to dressing functions of a confined quark propagator. More precisely, we investigate approaches to determine the number and positions of the…

High Energy Physics - Phenomenology · Physics 2023-11-09 S. Kaidisch , T. U. Hilger , A. Krassnigg , W. Lucha

Given a charge and current distribution with compact support, the associated potentials and fields are generally not integrable in the classical sense. However, it is convenient to be able to define their Fourier transform in order to…

Mathematical Physics · Physics 2024-03-15 Tristram de Piro

We consider linear cost-register automata (equivalent to weighted automata) over the semiring of nonnegative rationals, which generalise probabilistic automata. The two problems of boundedness and zero isolation ask whether there is a…

Formal Languages and Automata Theory · Computer Science 2022-05-27 Wojciech Czerwiński , Engel Lefaucheux , Filip Mazowiecki , David Purser , Markus A. Whiteland

We show the diagonal problem for higher-order pushdown automata (HOPDA), and hence the simultaneous unboundedness problem, is decidable. From recent work by Zetzsche this means that we can construct the downward closure of the set of words…

Formal Languages and Automata Theory · Computer Science 2015-11-06 Matthew Hague , Jonathan Kochems , C. -H. Luke Ong

This work provides several fundamental characterizations of the optimal classification function under the demographic parity constraint. In the awareness framework, akin to the classical unconstrained classification case, we show that…

Machine Learning · Statistics 2022-09-02 Solenne Gaucher , Nicolas Schreuder , Evgenii Chzhen

We consider a class of pattern matching problems where a normalising transformation is applied at every alignment. Normalised pattern matching plays a key role in fields as diverse as image processing and musical information processing…

Data Structures and Algorithms · Computer Science 2015-03-19 Ayelet Butman , Peter Clifford , Raphael Clifford , Markus Jalsenius , Noa Lewenstein , Benny Porat , Ely Porat , Benjamin Sach

We describe here a framework for a certain class of multiscale likelihood factorizations wherein, in analogy to a wavelet decomposition of an L^2 function, a given likelihood function has an alternative representation as a product of…

Statistics Theory · Mathematics 2007-06-13 Eric D. Kolaczyk , Robert D. Nowak

In this paper we consider integration and $L_2$-approximation for functions over $\RR^s$ from weighted Hermite spaces. The first part of the paper is devoted to a comparison of several weighted Hermite spaces that appear in literature,…

Numerical Analysis · Mathematics 2022-12-13 Gunther Leobacher , Friedrich Pillichshammer , Adrian Ebert

We consider approximation problems for a special space of d variate functions. We show that the problems have small number of active variables, as it has been postulated in the past using concentration of measure arguments. We also show…

Numerical Analysis · Mathematics 2012-01-25 Markus Hegland , Greg W. Wasilkowski

Motivated by the grid search method and Bayesian optimization, we introduce the concept of contractibility and its applications in model-based optimization. First, a basic framework of contraction methods is established to construct a…

Optimization and Control · Mathematics 2021-08-24 Xiaopeng Luo , Xin Xu

This paper presents a windowed Green function (WGF) method for the numerical solution of problems of elastic scattering by "locally-rough surfaces" (i.e., local perturbations of a half space), under either Dirichlet or Neumann boundary…

Computational Physics · Physics 2021-02-03 Oscar P. Bruno , Tao Yin