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In this paper, we present an advanced analysis of near optimal algorithms that use limited space to solve the frequency estimation, heavy hitters, frequent items, and top-k approximation in the bounded deletion model. We define the family…

State-space models are ubiquitous in the statistical literature since they provide a flexible and interpretable framework for analyzing many time series. In most practical applications, the state-space model is specified through a…

Methodology · Statistics 2020-06-18 Thi Tuyet Trang Chau , Pierre Ailliot , Valérie Monbet

In cognitive neuroscience research, Representational Dissimilarity Matrices (RDMs) are often incomplete because pairwise similarity judgments cannot always be exhaustively collected as the number of pairs rapidly increases with the number…

Neurons and Cognition · Quantitative Biology 2025-06-04 Denise Moerel , Tijl Grootswagers

The dramatically growing availability of observational data is being witnessed in various domains of science and technology, which facilitates the study of causal inference. However, estimating treatment effects from observational data is…

Machine Learning · Statistics 2021-06-08 Zhixuan Chu , Stephen L. Rathbun , Sheng Li

The Downhill Simplex Method (DSM) is a fast-converging derivative-free optimization technique for nonlinear systems. However, the optimization process is often subject to premature convergence due to degenerated simplices or noise-induced…

Optimization and Control · Mathematics 2025-09-09 Tianyu Wang , Xiaozhou He , Bernd R. Noack

Robust Bayesian inference using density power divergence (DPD) has emerged as a promising approach for handling outliers in statistical estimation. Although the DPD-based posterior offers theoretical guarantees of robustness, its practical…

Methodology · Statistics 2025-12-11 Naruki Sonobe , Tomotaka Momozaki , Tomoyuki Nakagawa

Maximum consensus estimation plays a critically important role in robust fitting problems in computer vision. Currently, the most prevalent algorithms for consensus maximization draw from the class of randomized hypothesize-and-verify…

Computer Vision and Pattern Recognition · Computer Science 2018-10-24 Huu Le , Tat-Jun Chin , Anders Eriksson , Thanh-Toan Do , David Suter

Imputation is a popular technique for handling item nonresponse in survey sampling. Parametric imputation is based on a parametric model for imputation and is less robust against the failure of the imputation model. Nonparametric imputation…

Methodology · Statistics 2019-09-20 Danhyang Lee , Jae Kwang Kim

Denoising diffusion probabilistic models (DDPMs) have emerged as competitive generative models yet brought challenges to efficient sampling. In this paper, we propose novel bilateral denoising diffusion models (BDDMs), which take…

Machine Learning · Computer Science 2021-09-15 Max W. Y. Lam , Jun Wang , Rongjie Huang , Dan Su , Dong Yu

Mixture models are regularly used in density estimation applications, but the problem of estimating the mixing distribution remains a challenge. Nonparametric maximum likelihood produce estimates of the mixing distribution that are…

Computation · Statistics 2019-06-28 Minwoo Chae , Ryan Martin , Stephen G. Walker

We use the Sum of Squares method to develop new efficient algorithms for learning well-separated mixtures of Gaussians and robust mean estimation, both in high dimensions, that substantially improve upon the statistical guarantees achieved…

Data Structures and Algorithms · Computer Science 2017-11-21 Samuel B. Hopkins , Jerry Li

Good robust estimators can be tuned to combine a high breakdown point and a specified asymptotic efficiency at a central model. This happens in regression with MM- and tau-estimators among others. However, the finite-sample efficiency of…

Statistics Theory · Mathematics 2013-11-21 Ricardo Maronna , Víctor Yohai

Likelihood-free inference methods typically make use of a distance between simulated and real data. A common example is the maximum mean discrepancy (MMD), which has previously been used for approximate Bayesian computation, minimum…

Methodology · Statistics 2023-05-11 Ayush Bharti , Masha Naslidnyk , Oscar Key , Samuel Kaski , François-Xavier Briol

Estimators derived from an EM algorithm are not robust since they are based on the maximization of the likelihood function. We propose a proximal-point algorithm based on the EM algorithm which aim to minimize a divergence criterion.…

Computation · Statistics 2016-07-11 Diaa Al Mohamad , Michel Broniatowski

The doubly robust (DR) estimator, which consists of two nuisance parameters, the conditional mean outcome and the logging policy (the probability of choosing an action), is crucial in causal inference. This paper proposes a DR estimator for…

Machine Learning · Computer Science 2021-06-22 Masahiro Kato , Shota Yasui , Kenichiro McAlinn

Based on the tensor-based large margin distribution and the nonparallel support tensor machine, we establish a novel classifier for binary classification problem in this paper, termed the Large Margin Distribution based NonParallel Support…

Optimization and Control · Mathematics 2025-07-18 Zhuolin Du , Yisheng Song

Since Pearson [Philosophical Transactions of the Royal Society of London. A, 185 (1894), pp. 71-110] first applied the method of moments (MM) for modeling data as a mixture of one-dimensional Gaussians, moment-based estimation methods have…

Machine Learning · Computer Science 2025-07-29 Liu Zhang , Oscar Mickelin , Sheng Xu , Amit Singer

Two-phase sampling designs have been widely adopted in epidemiological studies to reduce costs when measuring certain biomarkers is prohibitively expensive. Under these designs, investigators commonly relate survival outcomes to risk…

Methodology · Statistics 2025-12-12 Jooho Kim , Yei Eun Shin

This paper introduces the Stable Matching Based Pairing (SMBP) algorithm, a high-performance external validity index for clustering evaluation in large-scale datasets with a large number of clusters. SMBP leverages the stable matching…

Data Structures and Algorithms · Computer Science 2024-09-24 Mohammad Yasin Karbasian , Ramin Javadi

Magnetic resonance imaging (MRI) is a vital diagnostic tool, but its inherently long acquisition times reduce clinical efficiency and patient comfort. Recent advancements in deep learning, particularly diffusion models, have improved…

Image and Video Processing · Electrical Eng. & Systems 2026-04-28 Yuxuan Zhang , Jinkui Hao , Bo Zhou