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The performance of traditional graph Laplacian methods for semi-supervised learning degrades substantially as the ratio of labeled to unlabeled data decreases, due to a degeneracy in the graph Laplacian. Several approaches have been…

Analysis of PDEs · Mathematics 2019-04-03 Jeff Calder , Dejan Slepcev

Composite likelihood estimation has an important role in the analysis of multivariate data for which the full likelihood function is intractable. An important issue in composite likelihood inference is the choice of the weights associated…

Methodology · Statistics 2015-12-15 Davide Ferrari , Chao Zheng

Objective-The main purpose of this paper is to construct a distributed clustering algorithm such that each distributed cluster can perform the data accuracy at their respective cluster head node before data aggregation and transmit the data…

Networking and Internet Architecture · Computer Science 2011-01-12 Jyotirmoy Karjee , H. S Jamadagni

We discuss two well known network measures: the overlap weight of an edge and the clustering coefficient of a node. For both of them it turns out that they are not very useful for data analytic task to identify important elements (nodes or…

Social and Information Networks · Computer Science 2020-02-06 Vladimir Batagelj

Large foundation models are typically trained on data from multiple domains, with the data mixture--the proportion of each domain used--playing a critical role in model performance. The standard approach to selecting this mixture relies on…

Machine Learning · Computer Science 2025-10-03 Mustafa Shukor , Louis Bethune , Dan Busbridge , David Grangier , Enrico Fini , Alaaeldin El-Nouby , Pierre Ablin

We consider the problem of approximating a function from $L^2$ by an element of a given $m$-dimensional space $V_m$, associated with some feature map $\boldsymbol{\varphi}$, using evaluations of the function at random points $x_1,…

Numerical Analysis · Mathematics 2025-08-01 Anthony Nouy , Bertrand Michel

The ability to infer map variables and estimate pose is crucial to the operation of autonomous mobile robots. In most cases the shared dependency between these variables is modeled through a multivariate Gaussian distribution, but there are…

Robotics · Computer Science 2020-08-04 John D. Martin , Kevin Doherty , Caralyn Cyr , Brendan Englot , John Leonard

We introduce a new approach to prediction in graphical models with latent-shift adaptation, i.e., where source and target environments differ in the distribution of an unobserved confounding latent variable. Previous work has shown that as…

Machine Learning · Statistics 2023-06-26 William I. Walker , Arthur Gretton , Maneesh Sahani

We prove genuinely multilinear weighted estimates for singular integrals in product spaces. The estimates complete the qualitative weighted theory in this setting. Such estimates were previously known only in the one-parameter situation.…

Classical Analysis and ODEs · Mathematics 2021-10-07 Kangwei Li , Henri Martikainen , Emil Vuorinen

In this study, we introduce an innovative methodology aimed at enhancing Fisher's Linear Discriminant Analysis (LDA) in the context of high-dimensional data classification scenarios, specifically addressing situations where each feature…

Applications · Statistics 2024-01-18 Seungyeon Oh , Hoyoung Park

Semantic understanding of 3D point cloud relies on learning models with massively annotated data, which, in many cases, are expensive or difficult to collect. This has led to an emerging research interest in semi-supervised learning (SSL)…

Computer Vision and Pattern Recognition · Computer Science 2022-05-03 Xian Shi , Xun Xu , Wanyue Zhang , Xiatian Zhu , Chuan Sheng Foo , Kui Jia

The propensity score is widely used for causal inference in observational studies, but common parametric estimators can produce biased and inefficient effect estimates when model assumptions are violated. Nonparametric approaches reduce…

Methodology · Statistics 2026-04-09 Maosen Peng , Yan Li , Chong Wu , Liang Li

Recent developments in the field of deep learning for 3D data have demonstrated promising potential for end-to-end learning directly from point clouds. However, many real-world point clouds contain a large class im-balance due to the…

Computer Vision and Pattern Recognition · Computer Science 2019-06-19 David Griffiths , Jan Boehm

The problem of overdispersion in multivariate count data is a challenging issue. Nowadays, it covers a central role mainly due to the relevance of modern technologies data, such as Next Generation Sequencing and textual data from the web or…

Methodology · Statistics 2025-02-24 Noemi Corsini , Cinzia Viroli

We study weighted M-estimators for $\mathbb{R}^d$-valued clustered data and give sufficient conditions for their consistency. Their asymptotic normality is established with estimation of the asymptotic covariance matrix. We address the…

Statistics Theory · Mathematics 2016-01-14 Mohammed El Asri , Delphine Blanke , Edith Gabriel

Neural networks are usually not the tool of choice for nonparametric high-dimensional problems where the number of input features is much larger than the number of observations. Though neural networks can approximate complex multivariate…

Methodology · Statistics 2019-06-25 Jean Feng , Noah Simon

Incorporating auxiliary information alongside primary data can significantly enhance the accuracy of simultaneous inference. However, existing multiple testing methods face challenges in efficiently incorporating complex side information,…

Methodology · Statistics 2025-02-11 Ziyi Liang , T. Tony Cai , Wenguang Sun , Yin Xia

Existing deep neural network (DNN) based wireless localization approaches typically do not capture uncertainty inherent in their estimates. In this work, we propose and evaluate variational and scalable DNN approaches to measure the…

Signal Processing · Electrical Eng. & Systems 2021-06-10 Artan Salihu , Stefan Schwarz , Markus Rupp

Large language models (LLMs) have achieved remarkable success across various artificial intelligence tasks. However, their enormous sizes and computational demands pose significant challenges for the deployment on edge devices. To address…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-19 Kai Zhang , Hengtao He , Shenghui Song , Jun Zhang , Khaled B. Letaief

Machine Learning requires a large amount of training data in order to build accurate models. Sometimes the data arrives over time, requiring significant storage space and recalculating the model to account for the new data. On-line learning…

Machine Learning · Computer Science 2023-07-07 Mohammad Abu-Shaira , Greg Speegle