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Factor graphs are a ubiquitous tool for multi-source inference in robotics and multi-sensor networks. They allow for heterogeneous measurements from many sources to be concurrently represented as factors in the state posterior distribution,…

信息论 · 计算机科学 2023-03-14 Jesse Milzman , Andre Harrison , Carlos Nieto-Granda , John Rogers

Exchangeable random graphs serve as an important probabilistic framework for the statistical analysis of network data. In this work we develop an alternative parameterization for a large class of exchangeable random graphs, where the nodes…

统计理论 · 数学 2020-05-01 Jing Lei

The effective visualization of genomic data is crucial for exploring and interpreting complex relationships within and across genes and genomes. Despite advances in developing dedicated bioinformatics software, common visualization tools…

基因组学 · 定量生物学 2024-11-22 Thomas Hackl , Markus Ankenbrand , Bart van Adrichem , David Wilkins , Kristina Haslinger

Graph-structured data arise in wide applications, such as computer vision, bioinformatics, and social networks. Quantifying similarities among graphs is a fundamental problem. In this paper, we develop a framework for computing graph…

机器学习 · 统计学 2018-09-11 Zhen Zhang , Mianzhi Wang , Yijian Xiang , Yan Huang , Arye Nehorai

A kernel based procedure for correcting experimental data for distortions due to the finite resolution and limited detector acceptance is presented. The unfolding problem is known to be an ill-posed problem that can not be solved without…

数据分析、统计与概率 · 物理学 2012-09-19 N. D. Gagunashvili , M. Schmelling

Model development often takes data structure, subject matter considerations, model assumptions, and goodness of fit into consideration. To diagnose issues with any of these factors, it can be helpful to understand regression model estimates…

统计方法学 · 统计学 2022-01-11 Amy Zhang , Le Bao , Michael J. Daniels

Several efforts have been done to bring ROC analysis beyond (binary) classification, especially in regression. However, the mapping and possibilities of these proposals do not correspond to what we expect from the analysis of operating…

统计理论 · 数学 2013-10-17 Jose Hernandez-Orallo

The paper advocates the use of a statistical tool dedicated to the exploration of data samples populated by several sources of events. This new technique, called sPlot, is able to unfold the contributions of the different sources to the…

数据分析、统计与概率 · 物理学 2008-11-26 Muriel Pivk , Francois R. Le Diberder

We propose a tree-based algorithm for classification and regression problems in the context of functional data analysis, which allows to leverage representation learning and multiple splitting rules at the node level, reducing…

机器学习 · 统计学 2020-11-03 Edoardo Belli , Simone Vantini

Real data often contain anomalous cases, also known as outliers. These may spoil the resulting analysis but they may also contain valuable information. In either case, the ability to detect such anomalies is essential. A useful tool for…

机器学习 · 统计学 2021-01-13 Peter J. Rousseeuw , Mia Hubert

Vector autoregression has been widely used for modeling and analysis of multivariate time series data. In high-dimensional settings, model parameter regularization schemes inducing sparsity yield interpretable models and achieved good…

统计方法学 · 统计学 2023-06-08 Leo L. Duan , Zeyu Yuwen , George Michailidis , Zhengwu Zhang

Subgraph isomorphism counting is known as #P-complete and requires exponential time to find the accurate solution. Utilizing representation learning has been shown as a promising direction to represent substructures and approximate the…

机器学习 · 计算机科学 2024-05-14 Xin Liu , Weiqi Wang , Jiaxin Bai , Yangqiu Song

As regression is a widely studied problem, many methods have been proposed to solve it, each of them often requiring setting different hyper-parameters. Therefore, selecting the proper method for a given application may be very difficult…

机器学习 · 计算机科学 2026-03-23 Nassime Mountasir , Baptiste Lafabregue , Bruno Albert , Nicolas Lachiche

Randomized controlled trials (RCTs) serve as the cornerstone for understanding causal effects, yet extending inferences to target populations presents challenges due to effect heterogeneity and underrepresentation. Our paper addresses the…

统计方法学 · 统计学 2025-05-19 Harsh Parikh , Rachael Ross , Elizabeth Stuart , Kara Rudolph

This paper investigates data-driven segmentation using Re-Pair or Byte Pair Encoding-techniques. In contrast to previous work which has primarily been focused on subword units for machine translation, we are interested in the general…

计算与语言 · 计算机科学 2019-04-04 Ariel Ekgren , Amaru Cuba Gyllensten , Magnus Sahlgren

In many tomographic imaging problems the data consist of integrals along lines or curves. Increasingly we encounter "rich tomography" problems where the quantity imaged is higher dimensional than a scalar per voxel, including vectors…

偏微分方程分析 · 数学 2020-02-04 William R. B. Lionheart

Cartogram drawing is a technique for showing geography-related statistical information, such as demographic and epidemiological data. The idea is to distort a map by resizing its regions according to a statistical parameter by keeping the…

统计计算 · 统计学 2018-08-30 Christian Panse

We propose and study a multi-scale approach to vector quantization. We develop an algorithm, dubbed reconstruction trees, inspired by decision trees. Here the objective is parsimonious reconstruction of unsupervised data, rather than…

机器学习 · 计算机科学 2019-09-05 Enrico Cecini , Ernesto De Vito , Lorenzo Rosasco

Heterogeneity is a hallmark of complex diseases. Regression-based heterogeneity analysis, which is directly concerned with outcome-feature relationships, has led to a deeper understanding of disease biology. Such an analysis identifies the…

统计方法学 · 统计学 2022-11-29 Ziye Luo , Xinyue Yao , Yifan Sun , Xinyan Fan

Performance monitoring, anomaly detection, and root-cause analysis in complex cyber-physical systems (CPSs) are often highly intractable due to widely diverse operational modes, disparate data types, and complex fault propagation…

机器学习 · 统计学 2018-06-01 Chao Liu , Kin Gwn Lore , Zhanhong Jiang , Soumik Sarkar