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For Paley-Wiener functions on weighted combinatorial finite or infinite graphs we develop a weighted sampling theory in which samples are defined as inner products with weight functions (measuring devices). Three reconstruction methods are…

Functional Analysis · Mathematics 2019-06-11 Isaac Z. Pesenson

The notion of the weighted degree of a polynomial is a basic tool in Affine Algebraic Geometry. In this paper, we study the properties of the weighted multidegrees of polynomial automorphisms by a new approach which focuses on stable…

Commutative Algebra · Mathematics 2013-05-02 Shigeru Kuroda

We propose a general approach to construct weighted likelihood estimating equations with the aim of obtain robust estimates. The weight, attached to each score contribution, is evaluated by comparing the statistical data depth at the model…

Methodology · Statistics 2018-02-16 Claudio Agostinelli

This article discuss a class of tractable model in the form of polynomial type.

Pricing of Securities · Quantitative Finance 2016-03-09 Si Cheng , Michael R. Tehranchi

Markov State Models (MSM) are widely used to elucidate dynamic properties of molecular systems from unbiased Molecular Dynamics (MD). However, the implementation of reweighting schemes for MSMs to analyze biased simulations, for example…

Chemical Physics · Physics 2020-11-26 Stefanie Kieninger , Luca Donati , Bettina G. Keller

We consider a light-weight method which allows to improve the explainability of localized classification networks. The method considers (Grad)CAM maps during the training process by modification of the training loss and does not require…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Alfred Schöttl

The present work attempts to present a consistent and efficient approach to piezoelectric laminated beams. The influence of hypotheses on three-dimensional sectional deformations and stress distributions on the estimate of the beam…

Mathematical Physics · Physics 2010-09-28 C. Maurini , F. dell'Isola , J. Pouget

We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network, which are representative of critical…

Statistical Mechanics · Physics 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

The weighted triangulation algebras associated to triangulation quivers and their socle deformations were recently introduced and studied in [15]-[20] and [2]. These algebras, based on surface triangulations and originated from the theory…

Representation Theory · Mathematics 2025-10-22 Andrzej Skowroński , Adam Skowyrski

We discuss the principle tools and results and state a few open problems concerning the classification and topology of plane sextics and trigonal curves in ruled surfaces.

Algebraic Geometry · Mathematics 2016-09-07 Alex Degtyarev

In view of the node importance in weighted networks, weighted expected method (WEM), was proposed in this paper, which take an advantages of uncertain graph algorithm. First, a weight processing method is proposed based on the relationship…

Social and Information Networks · Computer Science 2021-11-23 Linjie Chen , Na Zhao , Jie Li , Zhen Long , Ming Jing , Jian Wang

We consider robust estimation of wrapped models to multivariate circular data that are points on the surface of a $p$-torus based on the weighted likelihood methodology.Robust model fitting is achieved by a set of weighted likelihood…

Methodology · Statistics 2024-01-10 Claudio Agostinelli , Luca Greco , Giovanni Saraceno

The standard paradigm of modeling marked point processes is by parameterizing the intensity function using an attention-based (Transformer-style) architecture. Despite the flexibility of these methods, their inference is based on the…

Machine Learning · Statistics 2024-09-30 Aristeidis Panos

In this paper we propose a new refined shear deformation plate theory which possesses a series of desirable features, the most salient of which are as follows: (i) The loads, which are generally considered to be applied on the middle…

Classical Physics · Physics 2015-01-23 Jose Miguel Martinez Valle

We present a largely self contained account on the K-theory of a weighted smooth projective curve over an algebraically closed field. In particular, we discuss the weighted version of divisor theory, Euler form, and Riemann-Roch theorem.…

Algebraic Geometry · Mathematics 2017-02-14 Helmut Lenzing

This paper presents a new model of textures, obtained as realizations of a new class of fractional Brownian fields. These fields, called weighted tensorized fractional Brownian fields, are obtained by a relaxation of the tensor-product…

Probability · Mathematics 2025-04-10 Céline Esser , Claire Launay , Laurent Loosveldt , Béatrice Vedel

One of the most powerful ideas in the study and classification of algebraic varieties is the notion of a model: that is, to single out an object, in the appropriate isomorphism class, with nice properties. This survey aims to define and…

Algebraic Geometry · Mathematics 2025-11-11 Giacomo Graziani

Weighted Castelnuovo-Mumford Regularity and Weighted Global GenerationWe introduce and study a notion of Castelnuovo-Mumford regularity suitable for weighted projective spaces.

Algebraic Geometry · Mathematics 2017-12-19 F. Malaspina , G. K. Sankaran

Centered weighted composition operators on $L^2$-spaces are characterized. The characterization is obtained without the assumption that the operator is a product of a multiplication and a composition operator. The concept of spectrally…

Functional Analysis · Mathematics 2026-04-20 Piotr Budzyński

The Brunn-Minkowski theory in convex geometry concerns, among other things, the volumes, mixed volumes, and surface area measures of convex bodies. We study generalizations of these concepts to Borel measures with density in…

Metric Geometry · Mathematics 2024-03-13 Matthieu Fradelizi , Dylan Langharst , Mokshay Madiman , Artem Zvavitch
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