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This paper proposes a flexible new framework for constructing Neyman-orthogonal scores in semiparametric models involving infinite-dimensional nuisance parameters. While locally estimation is vital for integrating machine learning into…

统计方法学 · 统计学 2026-04-30 Kun Ren , Wen Su , Li Liu , Ian W. McKeague , Xingqiu Zhao

Mixed level orthogonal arrays are basic structures in experimental design. We develop three algorithms that compute Rao and Gilbert-Varshamov type bounds for mixed level orthogonal arrays. The computational complexity of the terms involved…

统计理论 · 数学 2009-05-03 Ferruh Ozbudak , Ali Devin Sezer

As inelastic structures are ubiquitous in many engineering fields, a central task in computational mechanics is to develop accurate, robust and efficient tools for their analysis. Motivated by the poor performances exhibited by standard…

数值分析 · 数学 2018-09-21 Nicola A. Nodargi

We study a class of interacting particle systems with asymmetric interaction showing a self-duality property. The class includes the ASEP($q,\theta$), asymmetric exclusion process, with a repulsive interaction, allowing up to $\theta\in…

概率论 · 数学 2021-06-24 Gioia Carinci , Chiara Franceschini , Wolter Groenevelt

In this paper, we propose mean squared error (MSE) loss with outlying label for class imbalanced classification. Cross entropy (CE) loss, which is widely used for image recognition, is learned so that the probability value of true class is…

计算机视觉与模式识别 · 计算机科学 2021-07-07 Sota Kato , Kazuhiro Hotta

Mixture proportion estimation (MPE) is the problem of estimating the weight of a component distribution in a mixture, given samples from the mixture and component. This problem constitutes a key part in many "weakly supervised learning"…

机器学习 · 计算机科学 2016-06-01 Harish G. Ramaswamy , Clayton Scott , Ambuj Tewari

Modelling a complex system is almost invariably a challenging task. The incorporation of experimental observations can be used to improve the quality of a model, and thus to obtain better predictions about the behavior of the corresponding…

计算物理 · 物理学 2015-11-24 Massimiliano Bonomi , Carlo Camilloni , Andrea Cavalli , Michele Vendruscolo

We study the fluctuations of linear statistics with polynomial test functions for Multiple Orthogonal Polynomial Ensembles. Multiple Orthogonal Polynomial Ensembles form an important class of determinantal point processes that include…

概率论 · 数学 2021-04-20 Maurice Duits , Benjamin Fahs , Rostyslav Kozhan

A collection of subroutines and examples of their uses, as well as the underlying numerical methods, are described for generating orthogonal polynomials relative to arbitrary weight functions. The object of these routines is to produce the…

经典分析与常微分方程 · 数学 2025-10-20 Walter Gautschi

A topological interlocking assembly is an arrangement of blocks, where all blocks are kinematically constrained by their neighboring blocks and a fixed frame. This concept has been known for a long time, attracting recent interest due to…

材料科学 · 物理学 2025-12-04 Lukas Schnelle , Meike Weiß , Reymond Akpanya , Kai-Uwe Schröder , Alice C. Niemeyer

This paper studies a class of linear panel models with random coefficients. We do not restrict the joint distribution of the time-invariant unobserved heterogeneity and the covariates. We investigate identification of the average partial…

计量经济学 · 经济学 2022-11-21 Louise Laage

We discuss the role and merits of symmetry methods for the analysis of biological systems. In particular, we consider systems of first order ordinary differential equations and provide a comprehensive review of the geometrical foundations…

定量方法 · 定量生物学 2022-02-11 Johannes Borgqvist , Fredrik Ohlsson , Ruth E. Baker

Multiple orthogonal polynomials satisfy a number of recurrence relations, in particular there is a $(r+2)$-term recurrence relation connecting the type II multiple orthogonal polynomials near the diagonal (the so-called step-line recurrence…

经典分析与常微分方程 · 数学 2015-10-30 Galina Filipuk , Maciej Haneczok , Walter Van Assche

The present work deals with the formulation of a Virtual Element Method (VEM) for two dimensional structural problems. The contribution is split in two parts: in part I, the elastic problem is discussed, while in part II [3] the method is…

数值分析 · 数学 2018-10-24 Edoardo Artioli , Lourenco Beirao da Veiga , Carlo Lovadina , Elio Sacco

Given the current visual observations, the traditional procedure planning task in instructional videos requires a model to generate goal-directed plans within a given action space. All previous methods for this task conduct training and…

计算机视觉与模式识别 · 计算机科学 2024-07-09 Yilu Wu , Hanlin Wang , Jing Wang , Limin Wang

The Projection on Proper elements (PoPe) is a novel method of code control dedicated to 1) checking the correct implementation of models, 2) determining the convergence of numerical methods and 3) characterizing the residual errors of any…

Class imbalance is a common challenge in machine learning and data mining, often leading to suboptimal performance in classifiers. While deep learning excels in feature extraction, its performance still deteriorates under imbalanced data.…

机器学习 · 计算机科学 2025-12-24 Sukumar Kishanthan , Asela Hevapathige

We consider the problem of sparse estimation via a lasso-type penalized likelihood procedure in a factor analysis model. Typically, the model estimation is done under the assumption that the common factors are orthogonal (uncorrelated).…

统计方法学 · 统计学 2013-02-25 Kei Hirose , Michio Yamamoto

Many scientific questions in biomedical, environmental, and psychological research involve understanding the effects of multiple factors on outcomes. While factorial experiments are ideal for this purpose, randomized controlled treatment…

统计方法学 · 统计学 2025-12-03 Ruoqi Yu , Peng Ding

Orthogonal polynomials on quadratic curves in the plane are studied. These include orthogonal polynomials on ellipses, parabolas, hyperbolas, and two lines. For an integral with respect to an appropriate weight function defined on any…

数值分析 · 数学 2020-01-03 Sheehan Olver , Yuan Xu