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Many statistical models can be simulated forwards but have intractable likelihoods. Approximate Bayesian Computation (ABC) methods are used to infer properties of these models from data. Traditionally these methods approximate the posterior…

机器学习 · 统计学 2018-04-03 George Papamakarios , Iain Murray

Exponential random graph models are an important tool in the statistical analysis of data. However, Bayesian parameter estimation for these models is extremely challenging, since evaluation of the posterior distribution typically involves…

统计计算 · 统计学 2017-05-05 Lampros Bouranis , Nial Friel , Florian Maire

Diffusion probabilistic models have generated high quality image synthesis recently. However, one pain point is the notorious inference to gradually obtain clear images with thousands of steps, which is time consuming compared to other…

计算机视觉与模式识别 · 计算机科学 2023-01-04 Gang Chen

Recalibration of binary probabilistic classifiers to a target prior probability is an important task in areas like credit risk management. However, recalibration of a classifier learned on a training dataset to a target on a test dataset in…

机器学习 · 计算机科学 2026-02-02 Dirk Tasche

Model-based reinforcement learning attempts to use an available or learned model to improve the data efficiency of reinforcement learning. This work proposes a one-step lookback approach that jointly learns the deep incremental model and…

机器人学 · 计算机科学 2025-02-28 Cong Li

The Fisher matrix formalism has in recent times become the standard method for predicting the precision with which various cosmological parameters can be extracted from future data. This approach is fast, and generally returns accurate…

天体物理学 · 物理学 2009-11-11 Laurence Perotto , Julien Lesgourgues , Steen Hannestad , Huitzu Tu , Yvonne Y. Y. Wong

Using Markov chain Monte Carlo to sample from posterior distributions was the key innovation which made Bayesian data analysis practical. Notoriously, however, MCMC is hard to tune, hard to diagnose, and hard to parallelize. This…

统计计算 · 统计学 2022-03-18 Cosma Rohilla Shalizi

Gaussian stochastic process emulation is a powerful tool for approximating computationally intensive computer models. However, estimation of parameters in the GaSP emulator is a challenging task. No closed-form estimator is available, and…

统计计算 · 统计学 2026-05-06 Mengyang Gu , Jesús Palomo , James O. Berger

We propose a demonstration-efficient strategy to compress a computationally expensive Model Predictive Controller (MPC) into a more computationally efficient representation based on a deep neural network and Imitation Learning (IL). By…

机器人学 · 计算机科学 2021-09-27 Andrea Tagliabue , Dong-Ki Kim , Michael Everett , Jonathan P. How

Approximate Bayesian Computation (ABC) is a method to obtain a posterior distribution without a likelihood function, using simulations and a set of distance metrics. For that reason, it has recently been gaining popularity as an analysis…

宇宙学与河外天体物理 · 物理学 2018-02-28 Tomasz Kacprzak , Jörg Herbel , Adam Amara , Alexandre Réfrégier

We propose an easily computed estimator of marginal likelihoods from posterior simulation output, via reciprocal importance sampling, combining earlier proposals of DiCiccio et al (1997) and Robert and Wraith (2009). This involves only the…

统计方法学 · 统计学 2023-05-17 Martin Metodiev , Marie Perrot-Dockès , Sarah Ouadah , Nicholas J. Irons , Adrian E. Raftery

Simulation models often have parameters as input and return outputs to understand the behavior of complex systems. Calibration is the process of estimating the values of the parameters in a simulation model in light of observed data from…

统计方法学 · 统计学 2024-11-15 Özge Sürer

An MCMC simulation method based on a two stage delayed rejection Metropolis-Hastings algorithm is proposed to estimate a factor multivariate stochastic volatility model. The first stage uses kstep iteration towards the mode, with k small,…

统计计算 · 统计学 2010-02-11 Weijun Xu , Li Yang , Robert Kohn

Gravitational-wave population studies have become more important in gravitational-wave astronomy because of the rapid growth of the observed catalog. In recent studies, emulators based on different machine learning techniques are used to…

天体物理仪器与方法 · 物理学 2023-01-04 Damon H. T. Cheung , Kaze W. K. Wong , Otto A. Hannuksela , Tjonnie G. F. Li , Shirley Ho

In Scott (2002) and Congdon (2006), a new method is advanced to compute posterior probabilities of models under consideration. It is based solely on MCMC outputs restricted to single models, i.e., it is bypassing reversible jump and other…

统计计算 · 统计学 2010-10-11 Christian Robert , Jean-Michel Marin

Neural networks are a commonly used approach to replace physical models with computationally cheap surrogates. Parametric uncertainty quantification can be included in training, assuming that an accurate prior distribution of the model…

机器学习 · 计算机科学 2026-03-12 Heikki Haario , Zhi-Song Liu , Martin Simon , Hendrik Weichel

Markov Chain Monte Carlo (MCMC) algorithms are often used for approximate inference inside learning, but their slow mixing can be difficult to diagnose and the approximations can seriously degrade learning. To alleviate these issues, we…

机器学习 · 计算机科学 2015-02-25 Jacob Steinhardt , Percy Liang

This note extends a recently proposed algorithm for model identification and robust MPC of asymptotically stable, linear time-invariant systems subject to process and measurement disturbances. Independent output predictors for different…

系统与控制 · 电气工程与系统科学 2021-03-02 Enrico Terzi , Lorenzo Fagiano , Marcello Farina , Riccardo Scattolini

Machine learning can accelerate cosmological inferences that involve many sequential evaluations of computationally expensive data vectors. Previous works in this series have examined how machine learning architectures impact emulator…

Robust imitation learning seeks to mimic expert controller behavior while ensuring stability, but current methods require accurate plant models. Here, robust imitation learning is addressed for stabilizing poorly modeled plants with linear…

系统与控制 · 电气工程与系统科学 2022-10-04 Amy K. Strong , Ethan J. LoCicero , Leila Bridgeman