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In several application domains, high-dimensional observations are collected and then analysed in search for naturally occurring data clusters which might provide further insights about the nature of the problem. In this paper we describe a…

机器学习 · 统计学 2012-03-07 Brian McWilliams , Giovanni Montana

Generating realistic time series samples is crucial for stress-testing models and protecting user privacy by using synthetic data. In engineering and safety-critical applications, these samples must meet certain hard constraints that are…

Markov chain Monte Carlo (MCMC) algorithms offer various strategies for sampling; the Hamiltonian Monte Carlo (HMC) family of samplers are MCMC algorithms which often exhibit improved mixing properties. The recently introduced magnetic HMC,…

机器学习 · 统计学 2020-10-16 James A. Brofos , Roy R. Lederman

This paper revisits the ordered statistics decoding (OSD). It provides a comprehensive analysis of the OSD algorithm by characterizing the statistical properties, evolution and the distribution of the Hamming distance and weighted Hamming…

信息论 · 计算机科学 2021-05-10 Chentao Yue , Mahyar Shirvanimoghaddam , Branka Vucetic , Yonghui Li

This paper concerns the introduction of a new Markov Chain Monte Carlo scheme for posterior sampling in Bayesian nonparametric mixture models with priors that belong to the general Poisson-Kingman class. We present a novel compact way of…

统计计算 · 统计学 2018-02-22 Maria Lomeli , Stefano Favaro , Yee Whye Teh

Spectral clustering is one of the most popular clustering methods. However, how to balance the efficiency and effectiveness of the large-scale spectral clustering with limited computing resources has not been properly solved for a long…

机器学习 · 计算机科学 2022-07-12 Hongmin Li , Xiucai Ye , Akira Imakura , Tetsuya Sakurai

We introduce zeus, a well-tested Python implementation of the Ensemble Slice Sampling (ESS) method for Bayesian parameter inference. ESS is a novel Markov chain Monte Carlo (MCMC) algorithm specifically designed to tackle the computational…

天体物理仪器与方法 · 物理学 2021-10-05 Minas Karamanis , Florian Beutler , John A. Peacock

The Markov Chain Monte Carlo (MCMC) methods are popular when considering sampling from a high-dimensional random variable $\mathbf{x}$ with possibly unnormalised probability density $p$ and observed data $\mathbf{d}$. However, MCMC requires…

统计计算 · 统计学 2020-03-11 Haoyun Ying , Keheng Mao , Klaus Mosegaard

The abundance of new cosmological data becoming available means that a wider range of cosmological models are testable than ever before. However, an important distinction must be made between parameter fitting and model selection. While…

天体物理学 · 物理学 2009-11-13 Pia Mukherjee , David Parkinson , Andrew R. Liddle

Posterior sampling with the spike-and-slab prior [MB88], a popular multimodal distribution used to model uncertainty in variable selection, is considered the theoretical gold standard method for Bayesian sparse linear regression [CPS09,…

机器学习 · 统计学 2025-03-05 Syamantak Kumar , Purnamrita Sarkar , Kevin Tian , Yusong Zhu

We introduce Multistage Conditional Compositional Optimization (MCCO) as a new paradigm for decision-making under uncertainty that combines aspects of multistage stochastic programming and conditional stochastic optimization. MCCO minimizes…

最优化与控制 · 数学 2026-04-16 Buse Şen , Yifan Hu , Daniel Kuhn

The junction-tree representation provides an attractive structural property for organizing a decomposable graph. In this study, we present two novel stochastic algorithms, which we call the junction-tree expander and junction-tree collapser…

统计理论 · 数学 2021-02-16 Jimmy Olsson , Tetyana Pavlenko , Felix L. Rios

We consider the problem of resolving closely spaced point sources in one dimension from their Fourier data in a bounded domain. Classical subspace methods (e.g., MUSIC algorithm, Matrix Pencil method, etc.) show great superiority in…

信号处理 · 电气工程与系统科学 2022-04-04 Ping Liu , Hai Zhang

We propose a new sampler that integrates the protocol of parallel tempering with the Nos\'e-Hoover (NH) dynamics. The proposed method can efficiently draw representative samples from complex posterior distributions with multiple isolated…

机器学习 · 统计学 2018-12-10 Rui Luo , Qiang Zhang , Yuanyuan Liu

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

最优化与控制 · 数学 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson

Deep metric learning algorithms have a wide variety of applications, but implementing these algorithms can be tedious and time consuming. PyTorch Metric Learning is an open source library that aims to remove this barrier for both…

计算机视觉与模式识别 · 计算机科学 2020-08-24 Kevin Musgrave , Serge Belongie , Ser-Nam Lim

Curve samplers are sampling algorithms that proceed by viewing the domain as a vector space over a finite field, and randomly picking a low-degree curve in it as the sample. Curve samplers exhibit a nice property besides the sampling…

计算复杂性 · 计算机科学 2013-09-05 Zeyu Guo

This article introduces a novel, geometric approach for multi-manifold clustering (MMC), i.e. for clustering a collection of potentially intersecting, d-dimensional manifolds into the individual manifold components. We first compute a…

机器学习 · 统计学 2025-07-16 Haoyu Chen , Anna Little , Akin Narayan

This paper presents a novel method for extracting the vocal track from a musical mixture. The musical mixture consists of a singing voice and a backing track which may comprise of various instruments. We use a convolutional network with…

声音 · 计算机科学 2020-02-13 Pritish Chandna , Merlijn Blaauw , Jordi Bonada , Emilia Gomez

To phased microphone array for sound source localization, algorithm with both high computational efficiency and high precision is a persistent pursuit. In this paper convolutional neural network (CNN) a kind of deep learning is…

音频与语音处理 · 电气工程与系统科学 2018-02-14 Wei Ma , Xun Liu
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