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The Bayesian approach to machine learning amounts to computing posterior distributions of random variables from a probabilistic model of how the variables are related (that is, a prior distribution) and a set of observations of variables.…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Johannes Borgström , Andrew D Gordon , Michael Greenberg , James Margetson , Jurgen Van Gael

This paper introduces a polynomial transformation model based on Weibull distribution, whereby the analytical representation of the quantile function for many probability distributions can be obtained. Firstly, the target random variable…

统计方法学 · 统计学 2015-08-26 Qing Xiao

Various optimality properties of universal sequence predictors based on Bayes-mixtures in general, and Solomonoff's prediction scheme in particular, will be studied. The probability of observing $x_t$ at time $t$, given past observations…

机器学习 · 计算机科学 2007-05-23 Marcus Hutter

This work proposes a Bayesian rule based on the mixture of a point mass function at zero and the logistic distribution to perform wavelet shrinkage in nonparametric regression models with stationary errors (with short or long-memory…

统计方法学 · 统计学 2024-04-24 Alex Rodrigo dos S. Sousa , Mauricio Zevallos

The Bayesian framework is ideally suited for induction problems. The probability of observing $x_t$ at time $t$, given past observations $x_1...x_{t-1}$ can be computed with Bayes' rule if the true distribution $\mu$ of the sequences…

人工智能 · 计算机科学 2011-11-09 Marcus Hutter

In this paper, a new bivariate discrete distribution is introduced which called bivariate discrete exponentiated Weibull (BDEW) distribution. Several of its mathematical statistical properties are derived such as the joint cumulative…

统计理论 · 数学 2018-05-15 M. El- Morshedy , A. A. Khalil

In this article, we propose a novel method for sampling potential functions based on noisy observation data of a finite number of observables in quantum canonical ensembles, which leads to the accurate sampling of a wide class of test…

数值分析 · 数学 2020-04-08 Ziheng Chen , Zhennan Zhou

Bayesian predictive inference propagates parameter uncertainty to quantities of interest through the posterior-predictive distribution. In practice, this is typically performed using a two-stage procedure: first approximating the posterior…

机器学习 · 统计学 2026-05-06 Nan Feng , Xun Huan

Bayesian Neural Networks (BNNs) provide a tool to estimate the uncertainty of a neural network by considering a distribution over weights and sampling different models for each input. In this paper, we propose a method for uncertainty…

机器学习 · 计算机科学 2024-10-28 Illia Oleksiienko , Dat Thanh Tran , Alexandros Iosifidis

Spatial regression of random fields based on potentially biased sensing information is proposed in this paper. One major concern in such applications is that since it is not known a-priori what the accuracy of the collected data from each…

信号处理 · 电气工程与系统科学 2020-09-04 Qikun Xiang , Ido Nevat , Gareth W. Peters

We introduce a generalized Bayesian method for multiple changepoint analysis with a loss function inspired by multinomial logistic regression. The method does not require a specification of the data-generating process and avoids restrictive…

统计方法学 · 统计学 2026-03-27 Yuhui Wang , Andrew M. Thomas , Michael Jauch

Quantum network protocols depend on the availability of shared entanglement. Given that entanglement generation and distribution are affected by noise, characterization of the shared entangled states is essential to bound the errors of the…

量子物理 · 物理学 2025-10-31 Noah Kaufmann , Maria Quadeer , David Elkouss

The problem of estimating location (scale) parameters $\theta_1$ and $\theta_2$ of two distributions when the ordering between them is known apriori (say, $\theta_1\leq \theta_2$) has been extensively studied in the literature. Many of…

统计理论 · 数学 2022-07-05 Naresh Garg , Neeraj Misra

In this paper, we investigate the classical and Bayesian estimation of unknown parameters of the Gumbel type-II distribution based on adaptive type-II progressive hybrid censored sample (AT-II PHCS). The maximum likelihood estimates (MLEs)…

统计方法学 · 统计学 2021-03-17 Subhankar Dutta , Suchandan Kayal

This paper introduces a new generalization of the power generalized Weibull distribution called the generalized power generalized Weibull distribution. This distribution can also be considered as a generalization of Weibull distribution.…

统计理论 · 数学 2018-10-16 Mahmoud Ali Selim

The implementation of Bayesian predictive procedures under standard normal models is considered. Two distributions are of particular interest, the K-prime and K-square distributions. They also give exact inferences for simple and multiple…

统计方法学 · 统计学 2020-07-17 Jacques Poitevineau , Bruno Lecoutre

The bivariate Gaussian distribution has been a key model for many developments in statistics. However, many real-world phenomena generate data that follow asymmetric distributions, and consequently bivariate normal model is inappropriate in…

统计方法学 · 统计学 2022-12-08 Roberto Vila , Narayanaswamy Balakrishnan , Helton Saulo , Ana Protazio

Computer experiments are becoming increasingly important in scientific investigations. In the presence of uncertainty, analysts employ probabilistic sensitivity methods to identify the key-drivers of change in the quantities of interest.…

统计方法学 · 统计学 2024-07-02 Isadora Antoniano-Villalobos , Emanuele Borgonovo , Xuefei Lu

The problem of state estimation for unobservable distribution systems is considered. A deep learning approach to Bayesian state estimation is proposed for real-time applications. The proposed technique consists of distribution learning of…

机器学习 · 统计学 2019-02-26 Kursat Rasim Mestav , Jaime Luengo-Rozas , Lang Tong

The purpose of this paper is to provide a discussion, with illustrating examples, on Bayesian forecasting for dynamic generalized linear models (DGLMs). Adopting approximate Bayesian analysis, based on conjugate forms and on Bayes linear…

统计方法学 · 统计学 2008-02-05 K. Triantafyllopoulos