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Discovering a unique causal structure is difficult due to both inherent identifiability issues, and the consequences of finite data. As such, uncertainty over causal structures, such as those obtained from a Bayesian posterior, are often…

机器学习 · 计算机科学 2025-03-06 Anish Dhir , Matthew Ashman , James Requeima , Mark van der Wilk

Most of the regularization methods such as the LASSO have one (or more) regularization parameter(s), and to select the value of the regularization parameter is essentially equal to select a model. Thus, to obtain a model suitable for the…

统计方法学 · 统计学 2025-11-07 Sumito Kurata , Kei Hirose

The problem of pattern selection arises when the evolution equations have many solutions, whereas observed patterns constitute a much more restricted set. An approach is advanced for treating the problem of pattern selection by defining the…

凝聚态物理 · 物理学 2009-11-07 V. I. Yukalov

Activities such as the movement of passengers and goods, the transfer of physical or digital assets, web navigation and even successive passes in football, result in timestamped paths through a physical or virtual network. The need to…

物理与社会 · 物理学 2024-07-30 Kevin Teo , Naomi Arnold , Andrew Hone , István Zoltán Kiss

Network motifs are recurrent, small-scale patterns of interactions observed frequently in a system. They shed light on the interplay between the topology and the dynamics of complex networks across various domains. In this work, we focus on…

社会与信息网络 · 计算机科学 2023-11-08 Quintino Francesco Lotito , Federico Musciotto , Federico Battiston , Alberto Montresor

Approximate Bayesian computation methods can be used to evaluate posterior distributions without having to calculate likelihoods. In this paper we discuss and apply an approximate Bayesian computation (ABC) method based on sequential Monte…

统计计算 · 统计学 2009-01-15 Tina Toni , David Welch , Natalja Strelkowa , Andreas Ipsen , Michael P. H. Stumpf

This paper addresses the problem of learning the impulse responses characterizing forward models by means of a regularized kernel-based Prediction Error Method (PEM). The common approach to accomplish that is to approximate the system with…

最优化与控制 · 数学 2024-09-20 Giulio Fattore , Marco Peruzzo , Giacomo Sartori , Mattia Zorzi

Feature selection is the problem of selecting a subset of features for a machine learning model that maximizes model quality subject to a budget constraint. For neural networks, prior methods, including those based on $\ell_1$…

机器学习 · 计算机科学 2024-06-19 Taisuke Yasuda , MohammadHossein Bateni , Lin Chen , Matthew Fahrbach , Gang Fu , Vahab Mirrokni

One of the most powerful techniques to study protein structures is to look for recurrent fragments (also called substructures or spatial motifs), then use them as patterns to characterize the proteins under study. An emergent trend consists…

计算工程、金融与科学 · 计算机科学 2018-03-02 Wajdi Dhifli , Rabie Saidi , Engelbert Mephu Nguifo

Many inverse problems include nuisance parameters which, while not of direct interest, are required to recover primary parameters. Structure present in these problems allows efficient optimization strategies - a well known example is…

数值分析 · 数学 2015-06-05 Aleksandr Y. Aravkin , Tristan van Leeuwen

This paper presents a study of the large-sample behavior of the posterior distribution of a structural parameter which is partially identified by moment inequalities. The posterior density is derived based on the limited information…

统计理论 · 数学 2010-01-13 Yuan Liao , Wenxin Jiang

In dynamic discrete choice models, some parameters, such as the discount factor, are being fixed instead of being estimated. This paper proposes two sensitivity analysis procedures for dynamic discrete choice models with respect to the…

计量经济学 · 经济学 2024-08-30 Chun Pong Lau

We study the problem of optimal subset selection from a set of correlated random variables. In particular, we consider the associated combinatorial optimization problem of maximizing the determinant of a symmetric positive definite matrix…

统计计算 · 统计学 2019-07-12 Yu Wang , Nhu D. Le , James V. Zidek

The use of patterns in predictive models is a topic that has received a lot of attention in recent years. Pattern mining can help to obtain models for structured domains, such as graphs and sequences, and has been proposed as a means to…

人工智能 · 计算机科学 2011-11-29 Björn Bringmann , Siegfried Nijssen , Albrecht Zimmermann

A principled approach to cyclicality and intransitivity in paired comparison data is developed. The proposed methodology enables more precise estimation of the underlying preference profile and facilitates the identification of all cyclic…

统计方法学 · 统计学 2025-10-08 Rahul Singh , Ori Davidov

Many cognitive neuroscience studies use large feature sets to predict and interpret brain activity patterns. Feature sets take many forms, from human stimulus annotations to representations in deep neural networks. Of crucial importance in…

神经元与认知 · 定量生物学 2022-12-07 Anna A. Ivanova , Martin Schrimpf , Stefano Anzellotti , Noga Zaslavsky , Evelina Fedorenko , Leyla Isik

With the widespread application of personalized online services, click-through rate (CTR) prediction has received more and more attention and research. The most prominent features of CTR prediction are its multi-field categorical data…

信息检索 · 计算机科学 2023-08-04 Jianghao Lin , Yanru Qu , Wei Guo , Xinyi Dai , Ruiming Tang , Yong Yu , Weinan Zhang

We consider a linear regression model, with the parameter of interest a specified linear combination of the regression parameter vector. We suppose that, as a first step, a data-based model selection (e.g. by preliminary hypothesis tests or…

统计理论 · 数学 2011-09-27 Paul Kabaila , Khageswor Giri

Selecting a good column (or row) subset of massive data matrices has found many applications in data analysis and machine learning. We propose a new adaptive sampling algorithm that can be used to improve any relative-error column selection…

数据结构与算法 · 计算机科学 2015-10-15 Saurabh Paul , Malik Magdon-Ismail , Petros Drineas

Choices in scientific research and management require balancing multiple, often competing objectives.Multiple-objective optimization (MOO) provides a unifying framework for solving multiple objective problems. Model selection is a critical…

应用统计 · 统计学 2018-10-26 Perry Williams , William Kendall , Mevin Hooten