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Spectroscopy is a central pillar of materials characterization, providing useful information on properties like structure, composition, or excited state dynamics of a system. However, many spectroscopic techniques present challenges in…

材料科学 · 物理学 2026-04-09 Amalya C. Johnson , Chris Fajardo , Leena Sansguiri , Weike Ye , Steven B. Torrisi

Conditional independence and graphical models are well studied for probability distributions on product spaces. We propose a new notion of conditional independence for any measure $\Lambda$ on the punctured Euclidean space $\mathbb…

统计理论 · 数学 2024-09-12 Sebastian Engelke , Jevgenijs Ivanovs , Kirstin Strokorb

We consider the problem of learning a conditional Gaussian graphical model in the presence of latent variables. Building on recent advances in this field, we suggest a method that decomposes the parameters of a conditional Markov random…

统计方法学 · 统计学 2017-03-07 Benjamin Frot , Luke Jostins , Gil McVean

Causal structure learning with data from multiple contexts carries both opportunities and challenges. Opportunities arise from considering shared and context-specific causal graphs enabling to generalize and transfer causal knowledge across…

机器学习 · 计算机科学 2024-10-29 Martin Rabel , Wiebke Günther , Jakob Runge , Andreas Gerhardus

Considering discrete models, the univariate framework has been studied in depth compared to the multivariate one. This paper first proposes two criteria to define a sensu stricto multivariate discrete distribution. It then introduces the…

统计理论 · 数学 2018-02-07 Pierre Fernique , Jean Peyhardi , Jean-Baptiste Durand

Graphs are widely used for describing systems made up of many interacting components and for understanding the structure of their interactions. Various statistical models exist, which describe this structure as the result of a combination…

统计方法学 · 统计学 2021-06-28 Louis Duvivier , Rémy Cazabet , Céline Robardet

In this contribution we deal with the problem of learning an undirected graph which encodes the conditional dependence relationship between variables of a complex system, given a set of observations of this system. This is a very central…

统计方法学 · 统计学 2019-07-26 Daniela De Canditiis , Armando Guardasole

Statistical thinking partially depends upon an iterative process by which essential features of a problem setting are identified and mapped onto an abstract model or archetype, and then translated back into the context of the original…

其他统计学 · 统计学 2019-02-21 Matthew Beckman , Robert delMas

Although there is an extensive literature on the eigenvalues of high-dimensional sample covariance matrices, much of it is specialized to independent components (IC) models -- in which observations are represented as linear transformations…

统计理论 · 数学 2023-05-05 Siyao Wang , Miles E. Lopes

Parameter identifiability describes whether, for a given differential model, one can determine parameter values from model equations. Knowing global or local identifiability properties allows construction of better practical experiments to…

数学软件 · 计算机科学 2021-07-02 Ilia Ilmer , Alexey Ovchinnikov , Gleb Pogudin

In this work we consider the task of relaxing the i.i.d assumption in pattern recognition (or classification), aiming to make existing learning algorithms applicable to a wider range of tasks. Pattern recognition is guessing a discrete…

机器学习 · 计算机科学 2012-02-28 Daniil Ryabko

Instrumental variable models allow us to identify a causal function between covariates $X$ and a response $Y$, even in the presence of unobserved confounding. Most of the existing estimators assume that the error term in the response $Y$…

机器学习 · 统计学 2022-09-23 Sorawit Saengkyongam , Leonard Henckel , Niklas Pfister , Jonas Peters

The inference of causal relationships using observational data from partially observed multivariate systems with hidden variables is a fundamental question in many scientific domains. Methods extracting causal information from conditional…

机器学习 · 统计学 2020-10-13 Daniel Chicharro , Michel Besserve , Stefano Panzeri

Traditional model-based diagnosis relies on constructing explicit system models, a process that can be laborious and expertise-demanding. In this paper, we propose a novel framework that combines concepts of model-based diagnosis with deep…

人工智能 · 计算机科学 2023-10-11 Jan Lukas Augustin , Oliver Niggemann

Statistical analysis of agricultural experiments is based on structured experimental designs such as randomized block, factorial, split-plot, and multi-environment trials. While the theoretical bases of these approaches are sound, their…

统计方法学 · 统计学 2026-03-11 Aqib Gul

Predictions are the currency of a machine learning model, and to understand the model's behavior over segments of a dataset, or over time, is an important problem in machine learning research and practice. There currently is no systematic…

机器学习 · 计算机科学 2021-02-17 Aalok Shanbhag , Avijit Ghosh , Josh Rubin

Traditional economic models typically treat private information, or signals, as generated from some underlying state. Recent work has explicated alternative models, where signals correspond to interpretations of available information. We…

计算机科学与博弈论 · 计算机科学 2012-02-20 Michael P. Wellman , Lu Hong , Scott E. Page

Disentangled representations seek to recover latent factors of variation underlying observed data, yet their identifiability is still not fully understood. We introduce a unified framework in which disentanglement is achieved through…

机器学习 · 计算机科学 2026-05-12 Stefan Matthes , Zhiwei Han , Hao Shen

Tensor Gaussian graphical models (GGMs), interpreting conditional independence structures within tensor data, have important applications in numerous areas. Yet, the available tensor data in one single study is often limited due to high…

机器学习 · 统计学 2022-11-18 Mingyang Ren , Yaoming Zhen , Junhui Wang

The deployment of ML models on edge devices is challenged by limited computational resources and energy availability. While split computing enables the decomposition of large neural networks (NNs) and allows partial computation on both edge…

分布式、并行与集群计算 · 计算机科学 2024-11-01 Daniel May , Alessandro Tundo , Shashikant Ilager , Ivona Brandic