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Approximate Bayesian computation (ABC) is a class of Bayesian inference algorithms that targets for problems with intractable or {unavailable} likelihood function. It uses synthetic data drawn from the simulation model to approximate the…

统计计算 · 统计学 2024-12-24 Xuefei Cao , Shijia Wang , Yongdao Zhou

In this paper, we present the first study that compares different models of Bayesian Neural Networks (BNNs) to predict the posterior distribution of the cosmological parameters directly from the Cosmic Microwave Background temperature and…

天体物理仪器与方法 · 物理学 2020-11-13 Hector J. Hortua , Riccardo Volpi , Dimitri Marinelli , Luigi Malagò

Rodent hippocampal population codes represent important spatial information about the environment during navigation. Several computational methods have been developed to uncover the neural representation of spatial topology embedded in…

机器学习 · 统计学 2014-12-01 Scott W. Linderman , Matthew J. Johnson , Matthew A. Wilson , Zhe Chen

We introduce BASE (Bayesian astrometric and spectroscopic exoplanet detection and characterisation tool), a novel program for the combined or separate Bayesian analysis of astrometric and radial-velocity measurements of potential exoplanet…

天体物理仪器与方法 · 物理学 2012-07-27 Tim Schulze-Hartung , Ralf Launhardt , Thomas Henning

A new Bayesian modelling framework is introduced for piece-wise homogeneous variable-memory Markov chains, along with a collection of effective algorithmic tools for change-point detection and segmentation of discrete time series. Building…

统计方法学 · 统计学 2025-01-14 Valentinian Lungu , Ioannis Papageorgiou , Ioannis Kontoyiannis

In this paper, we propose the Adaptive Physics-Informed Neural Networks (APINNs) for accurate and efficient simulation-free Bayesian parameter estimation via Markov-Chain Monte Carlo (MCMC). We specifically focus on a class of parameter…

机器学习 · 计算机科学 2020-08-05 Mohammad Amin Nabian , Hadi Meidani

No--arbitrage property provides a simple method for pricing financial derivatives. However, arbitrage opportunities exist among different markets in various fields, even for a very short time. By knowing that an arbitrage property exists,…

计算金融 · 定量金融 2022-05-24 Yasushi Ota , Yu Jiang , Daiki Maki

Astrometric detection involves a precise measurement of stellar positions, and is widely regarded as the leading concept presently ready to find earth-mass planets in temperate orbits around nearby sun-like stars. The TOLIMAN space…

We introduce Multiproposal Elliptical Slice Sampling, a self-tuning multiproposal Markov chain Monte Carlo method for Bayesian inference with Gaussian priors. Our method generalizes the Elliptical Slice Sampling algorithm by 1) allowing…

In this paper we present an algorithm for rapid Bayesian analysis that combines the benefits of nested sampling and artificial neural networks. The blind accelerated multimodal Bayesian inference (BAMBI) algorithm implements the MultiNest…

天体物理仪器与方法 · 物理学 2012-03-12 Philip Graff , Farhan Feroz , Michael P. Hobson , Anthony Lasenby

We present CONAN (COde for exoplaNet ANalysis), an open-source Python package for comprehensive analyses of exoplanetary systems. It provides a unified Bayesian framework to simultaneously analyze diverse exoplanet datasets to derive global…

天体物理仪器与方法 · 物理学 2025-08-29 Babatunde Akinsanmi , Monika Lendl , Andreas Krenn

We present an algorithm to efficiently sample the full space of planetary interior density profiles. Our approach uses as few assumptions as possible to pursue an agnostic algorithm. The algorithm avoids the common Markov Chain Monte Carlo…

地球与行星天体物理 · 物理学 2026-02-18 Stefano Wirth , Luca Morf , Ravit Helled

Distance metric learning is an important component for many tasks, such as statistical classification and content-based image retrieval. Existing approaches for learning distance metrics from pairwise constraints typically suffer from two…

机器学习 · 计算机科学 2012-06-26 Liu Yang , Rong Jin , Rahul Sukthankar

Probabilistic programming (PP) allows flexible specification of Bayesian statistical models in code. PyMC3 is a new, open-source PP framework with an intutive and readable, yet powerful, syntax that is close to the natural syntax…

统计计算 · 统计学 2015-07-30 John Salvatier , Thomas Wiecki , Christopher Fonnesbeck

Existing Markov Chain Monte Carlo (MCMC) methods are either based on general-purpose and domain-agnostic schemes which can lead to slow convergence, or hand-crafting of problem-specific proposals by an expert. We propose A-NICE-MC, a novel…

机器学习 · 统计学 2018-03-16 Jiaming Song , Shengjia Zhao , Stefano Ermon

A learning-based posterior distribution estimation method, Probabilistic Dipole Inversion (PDI), is proposed to solve quantitative susceptibility mapping (QSM) inverse problem in MRI with uncertainty estimation. A deep convolutional neural…

图像与视频处理 · 电气工程与系统科学 2020-04-28 Jinwei Zhang , Hang Zhang , Mert Sabuncu , Pascal Spincemaille , Thanh Nguyen , Yi Wang

The heterogeneity of papers dealing with the discovery and characterization of exoplanets makes every attempt to maintain a uniform exoplanet catalog almost impossible. Four sources currently available online (NASA Exoplanet Archive,…

地球与行星天体物理 · 物理学 2020-02-06 Eleonora Alei , Riccardo Claudi , Andrea Bignamini , Marco Molinaro

The availability of data sets with large numbers of variables is rapidly increasing. The effective application of Bayesian variable selection methods for regression with these data sets has proved difficult since available Markov chain…

统计计算 · 统计学 2019-05-08 Jim Griffin , Krys Latuszynski , Mark Steel

Bayesian statistical inverse problems are often solved with Markov chain Monte Carlo (MCMC)-type schemes. When the problems are governed by large-scale discrete nonlinear partial differential equations (PDEs), they are computationally…

数值分析 · 数学 2019-09-06 Howard C. Elman , Akwum Onwunta

Selection among alternative theoretical models given an observed data set is an important challenge in many areas of physics and astronomy. Reversible-jump Markov chain Monte Carlo (RJMCMC) is an extremely powerful technique for performing…

天体物理仪器与方法 · 物理学 2015-06-25 Will M. Farr , Ilya Mandel , Daniel Stevens