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A new approach on the joint estimation of partially exchangeable observations is presented by constructing pairwise dependence between $m$ random density functions, each of which is modeled as a mixture of geometric stick breaking…

统计方法学 · 统计学 2017-09-29 Spyridon J. Hatjispyros , Christos Merkatas , Theodoros Nicoleris , Stephen G. Walker

In finite mixture models, apart from underlying mixing measure, true kernel density function of each subpopulation in the data is, in many scenarios, unknown. Perhaps the most popular approach is to choose some kernel functions that we…

统计理论 · 数学 2017-09-26 Nhat Ho , XuanLong Nguyen , Ya'acov Ritov

A procedure based on a Mixture Density Model for correcting experimental data for distortions due to finite resolution and limited detector acceptance is presented. Addressing the case that the solution is known to be non-negative, in the…

数据分析、统计与概率 · 物理学 2015-03-09 Nikolai Gagunashvili

We consider an infinite-dimensional stochastic clustering model on $\mathbb{R}$. In discrete time, each point of a unit-intensity simple point process moves halfway toward either of its left or right neighbors, chosen uniformly at random.…

概率论 · 数学 2026-03-10 Partha S. Dey , S. Rasoul Etesami , Aditya S. Gopalan

Proposed here is a dynamic Monte-Carlo algorithm that is efficient in simulating dense systems of long flexible chain molecules. It expands on the configurational-bias Monte-Carlo method through the simultaneous generation of a large set of…

统计力学 · 物理学 2018-08-29 Niels Boon

We study diffusion processes driven by a Brownian motion with regular drift in a finite dimension setting. The drift has two components on different time scales, a fast conservative component and a slow dissipative component. Using the…

概率论 · 数学 2014-03-27 Florent Barret , Max-K. Von Renesse

Model compression has been introduced to reduce the required hardware resources while maintaining the model accuracy. Lots of techniques for model compression, such as pruning, quantization, and low-rank approximation, have been suggested…

机器学习 · 计算机科学 2018-10-31 Dongsoo Lee , Parichay Kapoor , Byeongwook Kim

Real-world datasets often contain outliers, and the presence of outliers can make the clustering problems to be much more challenging. In this paper, we propose a simple uniform sampling framework for solving three representative…

机器学习 · 计算机科学 2023-10-04 Jiawei Huang , Wenjie Liu , Hu Ding

Diffusion models are relatively easy to train but require many steps to generate samples. Consistency models are far more difficult to train, but generate samples in a single step. In this paper we propose Multistep Consistency Models: A…

机器学习 · 计算机科学 2024-11-20 Jonathan Heek , Emiel Hoogeboom , Tim Salimans

The Dirichlet-multinomial (DM) distribution plays a fundamental role in modern statistical methodology development and application. Recently, the DM distribution and its variants have been used extensively to model multivariate count data…

统计方法学 · 统计学 2023-02-27 Matthew D. Koslovsky

To improve the predictability of complex computational models in the experimentally-unknown domains, we propose a Bayesian statistical machine learning framework utilizing the Dirichlet distribution that combines results of several…

统计方法学 · 统计学 2023-11-06 Vojtech Kejzlar , Léo Neufcourt , Witold Nazarewicz

Bayesian nonparametric (BNP) models provide elegant methods for discovering underlying latent features within a data set, but inference in such models can be slow. We exploit the fact that completely random measures, which commonly used…

机器学习 · 统计学 2020-07-17 Avinava Dubey , Michael Minyi Zhang , Eric P. Xing , Sinead A. Williamson

We introduce a new approach to deciding the number of clusters. The approach is applied to Optimally Tuned Robust Improper Maximum Likelihood Estimation (OTRIMLE; Coretto and Hennig 2016) of a Gaussian mixture model allowing for…

统计方法学 · 统计学 2020-12-29 Christian Hennig , Pietro Coretto

Stick-breaking has a long history and is one of the most popular procedures for constructing random discrete distributions in Statistics and Machine Learning. In particular, due to their intuitive construction and computational tractability…

统计理论 · 数学 2026-01-26 María F. Gil-Leyva , Antonio Lijoi , Ramsés H. Mena , Igor Prünster

Modern inference and learning often hinge on identifying low-dimensional structures that approximate large scale data. Subspace clustering achieves this through a union of linear subspaces. However, in contemporary applications data is…

机器学习 · 计算机科学 2018-08-03 Daniel L. Pimentel-Alarcón , Usman Mahmood

Clustering has been a major research topic in the field of machine learning, one to which Deep Learning has recently been applied with significant success. However, an aspect of clustering that is not addressed by existing deep clustering…

计算机视觉与模式识别 · 计算机科学 2023-04-04 Ioannis Maniadis Metaxas , Georgios Tzimiropoulos , Ioannis Patras

The two most extended density-based approaches to clustering are surely mixture model clustering and modal clustering. In the mixture model approach, the density is represented as a mixture and clusters are associated to the different…

机器学习 · 统计学 2016-09-16 José E. Chacón

The problem of quickest detection of a change in distribution is considered under the assumption that the pre-change distribution is known, and the post-change distribution is only known to belong to a family of distributions…

应用统计 · 统计学 2019-01-30 Tze Siong Lau , Wee Peng Tay , Venugopal V. Veeravalli

We address the challenge of getting efficient yet accurate recognition systems with limited labels. While recognition models improve with model size and amount of data, many specialized applications of computer vision have severe resource…

计算机视觉与模式识别 · 计算机科学 2023-04-25 Kenneth Borup , Cheng Perng Phoo , Bharath Hariharan

This paper explores the problem of clustering ensemble, which aims to combine multiple base clusterings to produce better performance than that of the individual one. The existing clustering ensemble methods generally construct a…

机器学习 · 计算机科学 2020-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Qingfu Zhang
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