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In this study, the orthogonalization process for different inner products is applied to pairwise comparisons. Properties of consistent approximations of a given inconsistent pairwise comparisons matrix are examined. A method of a derivation…

其他计算机科学 · 计算机科学 2020-02-18 W. W. Koczkodaj , R. Smarzewski , J. Szybowski

Orthogonal Monte Carlo (OMC) is a very effective sampling algorithm imposing structural geometric conditions (orthogonality) on samples for variance reduction. Due to its simplicity and superior performance as compared to its Quasi Monte…

机器学习 · 计算机科学 2020-05-29 Han Lin , Haoxian Chen , Tianyi Zhang , Clement Laroche , Krzysztof Choromanski

Polynomial ensembles are determinantal point processes associated with (non necessarily orthogonal) projections onto polynomial subspaces. The aim of this survey article is to put forward the use of recurrence coefficients to obtain the…

概率论 · 数学 2019-06-18 Adrien Hardy

There is an increasing interest in estimating heterogeneity in causal effects in randomized and observational studies. However, little research has been conducted to understand heterogeneity in an instrumental variables study. In this work,…

统计方法学 · 统计学 2021-01-20 Michael Johnson , Jiongyi Cao , Hyunseung Kang

In this paper, we show how certain three-class association schemes and orthogonal arrays give rise to partial geometric designs. We also investigate the connections between partial geometric designs and certain regular graphs having three…

组合数学 · 数学 2015-01-09 Kathleen Nowak , Oktay Olmez , Sung Y. Song

We use variation of test scores measuring closely related skills to isolate peer effects. The intuition for our identification strategy is that the difference in closely related scores eliminates factors common to the performance in either…

综合经济学 · 经济学 2025-07-03 Guido Kuersteiner , Ingmar Prucha , Ying Zeng

Scientific discovery increasingly requires learning on federated datasets, fed by streams from high-resolution instruments, that have extreme class imbalance. Current ML approaches either require impractical data aggregation or fail due to…

机器学习 · 计算机科学 2026-03-16 Md Anwar Hossen , Nathan R. Tallent , Luanzheng Guo , Ali Jannesary

We investigate how to exploit structural similarities of an individual's potential outcomes (POs) under different treatments to obtain better estimates of conditional average treatment effects in finite samples. Especially when it is…

机器学习 · 统计学 2021-10-26 Alicia Curth , Mihaela van der Schaar

Conditional effects are commonly used measures for understanding how treatment effects vary across different groups, and are often used to target treatments/interventions to groups who benefit most. In this work we review existing methods…

机器学习 · 统计学 2026-04-14 Jiacheng Ge , Iván Díaz

In this paper we study optimality aspects of a certain type of designs in a multi-way heterogeneity setting. These are ``duals" of plans orthogonal through the block factor (POTB). Here by the dual of a main effect plan (say $\rho$) we mean…

统计理论 · 数学 2020-12-22 Sunanda Bagchi , Bhaskar Bagchi

This paper studies treatment effect models in which individuals are classified into unobserved groups based on heterogeneous treatment rules. Using a finite mixture approach, we propose a marginal treatment effect (MTE) framework in which…

计量经济学 · 经济学 2022-05-24 Tadao Hoshino , Takahide Yanagi

Online controlled experiments face growing challenges from overlapping tests on shared traffic, where interactions between concurrent experiments obscure insights into feature combinations and produce effect estimates that do not correspond…

统计方法学 · 统计学 2026-04-21 Reza Hosseini

The Finite element method (FEM) has long served as the computational backbone for topology optimization (TO). However, for designing structures undergoing large deformations, conventional FEM-based TO often exhibits numerical instabilities…

计算工程、金融与科学 · 计算机科学 2026-03-17 Rahul Kumar Padhy , Aaditya Chandrasekhar , Krishnan Suresh

Orthogonalization is one of few mathematical methods conforming to mathematical standards for approximation. Finding a consistent PC matrix of a given an inconsistent PC matrix is the main goal of a pairwise comparisons method. We introduce…

数值分析 · 数学 2024-04-25 Julio Benitez , Waldemar W. Koczkodaj , Adam Kowalczyk

In this paper, we demonstrate a purely Bayesian approach for estimating within-group and between-group effect sizes for learning outcomes encountered in educational research, taking naturally into account the multilevel structure of the…

应用统计 · 统计学 2026-04-02 Yannis Bähni

Mixed (asymmetric) orthogonal arrays (MOAs) generalize classical orthogonal arrays by allowing columns over different alphabets. However, their study requires very different structural tools than those used for symmetric orthogonal arrays…

信息论 · 计算机科学 2026-03-20 Maryam Bajalan , Peter Boyvalenkov , Ferruh Özbudak

We propose masked particle modeling (MPM) as a self-supervised method for learning generic, transferable, and reusable representations on unordered sets of inputs for use in high energy physics (HEP) scientific data. This work provides a…

高能物理 - 唯象学 · 物理学 2024-07-12 Tobias Golling , Lukas Heinrich , Michael Kagan , Samuel Klein , Matthew Leigh , Margarita Osadchy , John Andrew Raine

The Expectation--Maximization (EM) algorithm is a simple meta-algorithm that has been used for many years as a methodology for statistical inference when there are missing measurements in the observed data or when the data is composed of…

机器学习 · 统计学 2022-11-15 Hideitsu Hino , Shotaro Akaho , Noboru Murata

The Empirical Interpolation Method (EIM) is a greedy procedure that constructs approximate representations of two-variable functions in separated form. In its classical presentation, the two variables play a non-symmetric role. In this…

数值分析 · 数学 2019-08-12 Fabien Casenave , Alexandre Ern , Tony Lelièvre

The 3D one-component spin system in an external magnetic field is studied using the collective variables method. The integration of the partition function of the system over the phase space layers is performed in the approximation of the…

统计力学 · 物理学 2007-05-23 I. V. Pylyuk , M. P. Kozlovskii