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We study mixture of linear regression (random coefficient) models, which capture population heterogeneity by allowing the regression coefficients to follow an unknown distribution $G^*$. In contrast to common parametric methods that fix the…

Methodology · Statistics 2025-07-01 Hansheng Jiang , Adityanand Guntuboyina

Estimators of information theoretic measures such as entropy and mutual information are a basic workhorse for many downstream applications in modern data science. State of the art approaches have been either geometric (nearest neighbor (NN)…

Information Theory · Computer Science 2016-09-09 Weihao Gao , Sewoong Oh , Pramod Viswanath

An important feature of kernel mean embeddings (KME) is that the rate of convergence of the empirical KME to the true distribution KME can be bounded independently of the dimension of the space, properties of the distribution and smoothness…

Statistics Theory · Mathematics 2025-04-17 Geoffrey Wolfer , Pierre Alquier

Image restoration has experienced significant advancements due to the development of deep learning. Nevertheless, it encounters challenges related to ill-posed problems, resulting in deviations between single model predictions and…

Computer Vision and Pattern Recognition · Computer Science 2024-10-31 Shangquan Sun , Wenqi Ren , Zikun Liu , Hyunhee Park , Rui Wang , Xiaochun Cao

Lack of large, well-annotated emotional speech corpora continues to limit the performance and robustness of speech emotion recognition (SER), particularly as models grow more complex and the demand for multimodal systems increases. While…

Sound · Computer Science 2026-02-13 Chung-Soo Ahn , Rajib Rana , Sunil Sivadas , Carlos Busso , Jagath C. Rajapakse

Ensembles, as a widely used and effective technique in the machine learning community, succeed within a key element -- "diversity." The relationship between diversity and generalization, unfortunately, is not entirely understood and remains…

Machine Learning · Computer Science 2021-05-10 Yijun Bian , Huanhuan Chen

Standard Gaussian graphical models (GGMs) implicitly assume that the conditional independence among variables is common to all observations in the sample. However, in practice, observations are usually collected form heterogeneous…

Methodology · Statistics 2010-01-26 Abel Rodriguez , Alex Lenkoski , Adrian Dobra

A generalized ensemble model (gEnM) for document ranking is proposed in this paper. The gEnM linearly combines basis document retrieval models and tries to retrieve relevant documents at high positions. In order to obtain the optimal linear…

Information Retrieval · Computer Science 2017-02-03 Yanshan Wang , In-Chan Choi , Hongfang Liu

Neural networks often assume independence among input data samples, disregarding correlations arising from inherent clustering patterns in real-world datasets (e.g., due to different sites or repeated measurements). Recently, mixed effects…

Semicontinuous outcomes occur frequently in health services, insurance, and cost studies. Standard nonparametric density estimators are not well suited to such data because they do not naturally accommodate the mixed structure, the…

Methodology · Statistics 2026-05-06 Guanjie Lyu , Frédéric Ouimet , Cindy Feng

Evaluating the effects of time-varying exposures is essential for longitudinal studies. The effect estimation becomes increasingly challenging when dealing with hundreds of time-dependent confounders. We propose a Marginal Structure…

Methodology · Statistics 2025-10-21 Zhiwei Zhao , Chixiang Chen , Shuo Chen

A random matrix ensemble incorporating both GUE and Poisson level statistics while respecting $U(N)$ invariance is proposed and shown to be equivalent to a system of noninteracting, confined, one dimensional fermions at finite temperature.

Condensed Matter · Physics 2009-10-22 Moshe Moshe , Herbert Neuberger , Boris Shapiro

We consider the estimation of a signal from the knowledge of its noisy linear random Gaussian projections. A few examples where this problem is relevant are compressed sensing, sparse superposition codes, and code division multiple access.…

Information Theory · Computer Science 2020-08-31 Jean Barbier , Nicolas Macris , Mohamad Dia , Florent Krzakala

Integrating the summary statistics from genome-wide association study (\textsc{gwas}) and expression quantitative trait loci (e\textsc{qtl}) data provides a powerful way of identifying the genes whose expression levels are potentially…

Methodology · Statistics 2020-11-23 Rong Ma , T. Tony Cai , Hongzhe Li

Reference-guided instance editing is fundamentally limited by semantic entanglement, where a reference's intrinsic appearance is intertwined with its extrinsic attributes. The key challenge lies in disentangling what information should be…

Computer Vision and Pattern Recognition · Computer Science 2025-12-18 Shengxiao Zhou , Chenghua Li , Jianhao Huang , Qinghao Hu , Yifan Zhang

Suppose one is interested in estimating causal effects in the presence of potentially unmeasured confounding with the aid of a valid instrumental variable. This paper investigates the problem of making inferences about the average treatment…

Methodology · Statistics 2020-12-15 BaoLuo Sun , Wang Miao

A novel approach to improve prediction and inference in M-estimation by integrating external information from heterogeneous populations is proposed. Our method leverages joint asymptotics to combine estimates from external and internal…

Methodology · Statistics 2025-09-08 Walter Dempsey , Jeremy M. G. Taylor

The Generalized Estimating Equations (GEE) approach is a widely used statistical method for analyzing longitudinal data and clustered data in clinic studies. In dentistry, due to multiple outcomes obtained from one patient, the outcomes…

Methodology · Statistics 2025-02-25 Hoi-Jeong Lim , Soo-Hyeon Park

Ensemble learning is a mainstay in modern data science practice. Conventional ensemble algorithms assign to base models a set of deterministic, constant model weights that (1) do not fully account for individual models' varying accuracy…

Methodology · Statistics 2019-04-02 Jeremiah Zhe Liu , John Paisley , Marianthi-Anna Kioumourtzoglou , Brent A. Coull

Recently, the importance of analysing data and collecting valuable insight efficiently has been increasing in various fields. Estimating mutual information (MI) plays a critical role to investigate the relationship among multiple random…

Quantum Physics · Physics 2025-03-10 Yota Maeda , Hideaki Kawaguchi , Hiroyuki Tezuka