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Whereas the ability of deep networks to produce useful predictions has been amply demonstrated, estimating the reliability of these predictions remains challenging. Sampling approaches such as MC-Dropout and Deep Ensembles have emerged as…

机器学习 · 计算机科学 2024-05-28 Nikita Durasov , Nik Dorndorf , Hieu Le , Pascal Fua

In recent years, machine learning (ML) has been proposed to devise data-driven parametrisations of unresolved processes in dynamical numerical models. In most cases, the ML training leverages high-resolution simulations to provide a dense,…

计算物理 · 物理学 2020-12-09 Julien Brajard , Alberto Carrassi , Marc Bocquet , Laurent Bertino

Piecewise-deterministic Markov process (PDMP) samplers constitute a state-of-the-art Markov chain Monte Carlo paradigm in Bayesian computation, with examples including the zig-zag and bouncy particle sampler (bps). Recent work on the…

统计计算 · 统计学 2026-03-10 Andrew Chin , Akihiko Nishimura

Multivariate meta-analysis is gaining prominence in evidence synthesis research because it enables simultaneous synthesis of multiple correlated outcome data, and random-effects models have generally been used for addressing between-studies…

统计方法学 · 统计学 2021-07-14 Hisashi Noma , Kengo Nagashima , Toshi A. Furukawa

Estimation of finite mixture models when the mixing distribution support is unknown is an important problem. This paper gives a new approach based on a marginal likelihood for the unknown support. Motivated by a Bayesian Dirichlet prior…

统计方法学 · 统计学 2013-02-11 Ryan Martin

Statistical inference methods are fundamentally important in machine learning. Most state-of-the-art inference algorithms are variants of Markov chain Monte Carlo (MCMC) or variational inference (VI). However, both methods struggle with…

机器学习 · 计算机科学 2019-10-17 Yichuan Zhang , José Miguel Hernández-Lobato

The article concerns hybrid combinations of empirical and parametric likelihood functions. Combining the two allows classical parametric likelihood to be crucially modified via the nonparametric counterpart, making possible model…

统计理论 · 数学 2024-09-25 Ingrid Dæhlen , Nils Lid Hjort

We use the theory of normal variance-mean mixtures to derive a data augmentation scheme for models that include gamma functions. Our methodology applies to many situations in statistics and machine learning, including Multinomial-Dirichlet…

统计方法学 · 统计学 2021-06-22 Jingyu He , Nicholas Polson , Jianeng Xu

The shocks which hit macroeconomic models such as Vector Autoregressions (VARs) have the potential to be non-Gaussian, exhibiting asymmetries and fat tails. This consideration motivates the VAR developed in this paper which uses a Dirichlet…

计量经济学 · 经济学 2023-05-29 Florian Huber , Gary Koop

In many applications, a finite mixture is a natural model, but it can be difficult to choose an appropriate number of components. To circumvent this choice, investigators are increasingly turning to Dirichlet process mixtures (DPMs), and…

统计理论 · 数学 2013-09-03 Jeffrey W. Miller , Matthew T. Harrison

Variational inference with Gaussian mixture models (GMMs) enables learning of highly tractable yet multi-modal approximations of intractable target distributions with up to a few hundred dimensions. The two currently most effective methods…

机器学习 · 计算机科学 2023-07-19 Oleg Arenz , Philipp Dahlinger , Zihan Ye , Michael Volpp , Gerhard Neumann

We present a hybrid continuum-atomistic scheme which combines molecular dynamics (MD) simulations with on-the-fly machine learning techniques for the accurate and efficient prediction of multiscale fluidic systems. By using a Gaussian…

流体动力学 · 物理学 2016-03-16 David Stephenson , James R Kermode , Duncan A Lockerby

When observations are organized into groups where commonalties exist amongst them, the dependent random measures can be an ideal choice for modeling. One of the propositions of the dependent random measures is that the atoms of the…

机器学习 · 统计学 2016-06-28 Cheng Luo , Richard Yi Da Xu , Yang Xiang

Methods that bypass analytical evaluations of the likelihood function have become an indispensable tool for statistical inference in many fields of science. These so-called likelihood-free methods rely on accepting and rejecting simulations…

Mixture models are widely used in Bayesian statistics and machine learning, in particular in computational biology, natural language processing and many other fields. Variational inference, a technique for approximating intractable…

统计理论 · 数学 2020-08-03 Badr-Eddine Chérief-Abdellatif , Pierre Alquier

Recently, a versatile limited feedback scheme based on a Gaussian mixture model (GMM) was proposed for frequency division duplex (FDD) systems. This scheme provides high flexibility regarding various system parameters and is applicable to…

信息论 · 计算机科学 2023-11-29 Nurettin Turan , Benedikt Fesl , Wolfgang Utschick

In social science research, understanding latent structures in populations through survey data with categorical responses is a common and important task. Traditional methods like Factor Analysis and Latent Class Analysis have limitations,…

统计方法学 · 统计学 2024-12-30 Chayut Wongkamthong

We investigate nonlinear prediction in an online setting and introduce a hybrid model that effectively mitigates, via an end-to-end architecture, the need for hand-designed features and manual model selection issues of conventional…

机器学习 · 统计学 2023-07-11 Mustafa E. Aydın , Suleyman S. Kozat

We present a Dirichlet process mixture model over discrete incomplete rankings and study two Gibbs sampling inference techniques for estimating posterior clusterings. The first approach uses a slice sampling subcomponent for estimating…

机器学习 · 计算机科学 2012-03-19 Marina Meila , Harr Chen

There is much interest in the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) as a natural Bayesian nonparametric extension of the traditional HMM. However, in many settings the HDP-HMM's strict Markovian constraints are…

机器学习 · 计算机科学 2012-03-19 Matthew J. Johnson , Alan Willsky