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The Dirichlet Process Gaussian Mixture Model (DPGMM) is often used to cluster data when the number of clusters is unknown. One main DPGMM inference paradigm relies on sampling. Here we consider a known state-of-art sampler (proposed by…

机器学习 · 计算机科学 2022-03-28 Vlad Winter , Or Dinari , Oren Freifeld

Sampling from matrix generalized inverse Gaussian (MGIG) distributions is required in Markov Chain Monte Carlo (MCMC) algorithms for a variety of statistical models. However, an efficient sampling scheme for the MGIG distributions has not…

统计方法学 · 统计学 2023-11-08 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

In this work, minibatch MCMC sampling for feedforward neural networks is made more feasible. To this end, it is proposed to sample subgroups of parameters via a blocked Gibbs sampling scheme. By partitioning the parameter space, sampling is…

机器学习 · 统计学 2023-07-25 Theodore Papamarkou

The computational benefits of iterative non-autoregressive transformers decrease as the number of decoding steps increases. As a remedy, we introduce Distill Multiple Steps (DiMS), a simple yet effective distillation technique to decrease…

计算与语言 · 计算机科学 2023-06-13 Sajad Norouzi , Rasa Hosseinzadeh , Felipe Perez , Maksims Volkovs

We develop a new Gibbs sampler for a linear mixed model with a Dirichlet process random effect term, which is easily extended to a generalized linear mixed model with a probit link function. Our Gibbs sampler exploits the properties of the…

统计理论 · 数学 2010-02-26 Minjung Kyung , Jeff Gill , George Casella

Genes are often regulated in living cells by proteins called transcription factors (TFs) that bind directly to short segments of DNA in close proximity to specific genes. These binding sites have a conserved nucleotide appearance, which is…

统计理论 · 数学 2007-06-13 Shane T. Jensen , Jun S. Liu

Transformer models are permutation equivariant. To supply the order and type information of the input tokens, position and segment embeddings are usually added to the input. Recent works proposed variations of positional encodings with…

计算与语言 · 计算机科学 2021-11-04 Pu-Chin Chen , Henry Tsai , Srinadh Bhojanapalli , Hyung Won Chung , Yin-Wen Chang , Chun-Sung Ferng

Motivation: With the development of droplet based systems, massive single cell transcriptome data has become available, which enables analysis of cellular and molecular processes at single cell resolution and is instrumental to…

机器学习 · 计算机科学 2018-12-27 Tiehang Duan , José P. Pinto , Xiaohui Xie

This short paper describes a simple coding technique, Sparse Sequential Dirichlet Coding, for multi-alphabet memoryless sources. It is appropriate in situations where only a small, unknown subset of the possible alphabet symbols can be…

信息论 · 计算机科学 2012-06-19 Joel Veness , Marcus Hutter

In this paper a simple procedure to deal with label switching when exploring complex posterior distributions by MCMC algorithms is proposed. Although it cannot be generalized to any situation, it may be handy in many applications because of…

统计计算 · 统计学 2016-09-14 Leonardo Egidi , Roberta Pappadà , Francesco Pauli , Nicola Torelli

We consider the problem of drawing samples from posterior distributions formed under a Dirichlet prior and a truncated multinomial likelihood, by which we mean a Multinomial likelihood function where we condition on one or more counts being…

统计方法学 · 统计学 2012-09-04 Matthew James Johnson , Alan S. Willsky

The particle Gibbs sampler is a Markov chain Monte Carlo (MCMC) algorithm to sample from the full posterior distribution of a state-space model. It does so by executing Gibbs sampling steps on an extended target distribution defined on the…

统计计算 · 统计学 2015-07-29 Nicolas Chopin , Sumeetpal S. Singh

For large scale on-line inference problems the update strategy is critical for performance. We derive an adaptive scan Gibbs sampler that optimizes the update frequency by selecting an optimum mini-batch size. We demonstrate performance of…

机器学习 · 统计学 2018-01-30 Vadim Smolyakov , Qiang Liu , John W. Fisher

Finding well-defined clusters in data represents a fundamental challenge for many data-driven applications, and largely depends on good data representation. Drawing on literature regarding representation learning, studies suggest that one…

机器学习 · 计算机科学 2020-11-05 Daniel Lutscher , Ali el Hassouni , Maarten Stol , Mark Hoogendoorn

We study the problem of posterior sampling in discrete-state spaces using discrete diffusion models. While posterior sampling methods for continuous diffusion models have achieved remarkable progress, analogous methods for discrete…

机器学习 · 计算机科学 2025-11-04 Wenda Chu , Zihui Wu , Yifan Chen , Yang Song , Yisong Yue

An efficient joint source-channel (S/C) decoder based on the side information of the source and on the MN-Gallager Code over Galois fields, $q$, is presented. The dynamical posterior probabilities are derived either from the statistical…

统计力学 · 物理学 2007-05-23 Ido Kanter , Haggai Kfir , Shahar Keren

We develop clustering procedures for longitudinal trajectories based on a continuous-time hidden Markov model (CTHMM) and a generalized linear observation model. Specifically in this paper, we carry out finite and infinite mixture…

统计方法学 · 统计学 2021-12-08 Yu Luo , David A. Stephens , David L. Buckeridge

For a given target density, there exist an infinite number of diffusion processes which are ergodic with respect to this density. As observed in a number of papers, samplers based on nonreversible diffusion processes can significantly…

统计方法学 · 统计学 2017-01-17 A. B. Duncan , G. A. Pavliotis , K. C. Zygalakis

Short text clustering has become increasingly important with the popularity of social media like Twitter, Google+, and Facebook. Existing methods can be broadly categorized into two paradigms: topic model-based approaches and deep…

计算与语言 · 计算机科学 2025-07-21 Enhao Cheng , Shoujia Zhang , Jianhua Yin , Xuemeng Song , Tian Gan , Liqiang Nie

Markov chain Monte Carlo (MCMC) algorithms are ubiquitous in probability theory in general and in machine learning in particular. A Markov chain is devised so that its stationary distribution is some probability distribution of interest.…

机器学习 · 计算机科学 2017-11-02 Johan Jonasson