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Ising models originated in statistical physics and are widely used in modeling spatial data and computer vision problems. However, statistical inference of this model remains challenging due to intractable nature of the normalizing constant…

统计方法学 · 统计学 2021-09-06 Minwoo Kim , Shrijita Bhattacharya , Tapabrata Maiti

Thanks to the broadband nature of the Distributed Acoustic Sensing (DAS) measurement, a roadside section of the Stanford DAS-2 array can record seismic signals from various sources. For example, it measures the earth's quasi-static…

地球物理 · 物理学 2020-06-03 Siyuan Yuan , Ariel Lellouch , Robert G. Clapp , Biondo Biondi

In this paper, we present a new fault diagnosis (FD) -based approach for detection of imagery changes that can detect significant changes as inconsistencies between different sub-modules (e.g., self-localizaiton) of visual SLAM. Unlike…

计算机视觉与模式识别 · 计算机科学 2019-09-23 Sugimoto Takuma , Yamaguchi Kousuke , Tanaka Kanji

Local Intrinsic Dimensionality (LID) has shown strong potential for identifying anomalies and outliers in high-dimensional data across a wide range of real-world applications, including landslide failure detection in granular media. Early…

机器学习 · 计算机科学 2026-01-19 Yuansan Liu , Antoinette Tordesillas , James Bailey

We propose a novel variational Bayes approach to estimate high-dimensional vector autoregression (VAR) models with hierarchical shrinkage priors. Our approach does not rely on a conventional structural VAR representation of the parameter…

计量经济学 · 经济学 2023-07-03 Mauro Bernardi , Daniele Bianchi , Nicolas Bianco

Inverse problems constrained by partial differential equations are often ill-conditioned due to noisy and incomplete data or inherent non-uniqueness. A prominent example is full waveform inversion, which estimates Earth's subsurface…

地球物理 · 物理学 2026-03-03 Ali Siahkoohi , Kamal Aghazade , Ali Gholami

We propose a variation on wavefield reconstruction inversion for seismic inversion, which takes advantage of randomized linear algebra as a way to overcome the typical limitations of conventional inversion techniques. Consequently, we can…

数值分析 · 数学 2021-12-21 Gabrio Rizzuti , Tristan van Leeuwen

We address the estimation of seismic wavefields by means of Multidimensional Deconvolution (MDD) for various redatuming applications. While offering more accuracy than conventional correlation-based redatuming methods, MDD faces challenges…

数值分析 · 数学 2024-04-03 Daria Sushnikova , Matteo Ravasi , David Keyes

Gaussian and discrete non-Gaussian spatial datasets are common across fields like public health, ecology, geosciences, and social sciences. Bayesian spatial generalized linear mixed models (SGLMMs) are a flexible class of models for…

统计方法学 · 统计学 2025-01-27 Jin Hyung Lee , Ben Seiyon Lee

Variational Bayes (VB) has become a widely-used tool for Bayesian inference in statistics and machine learning. Nonetheless, the development of the existing VB algorithms is so far generally restricted to the case where the variational…

机器学习 · 计算机科学 2021-08-04 Minh-Ngoc Tran , Dang H. Nguyen , Duy Nguyen

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

机器学习 · 计算机科学 2019-04-03 Konstantin Posch , Jürgen Pilz

Variational inference approximates the posterior distribution of a probabilistic model with a parameterized density by maximizing a lower bound for the model evidence. Modern solutions fit a flexible approximation with stochastic gradient…

机器学习 · 统计学 2017-07-13 Joseph Sakaya , Arto Klami

Smoothing methods find signals in noisy data. A challenge for Statistical inference is the choice of smoothing parameter. SiZer addressed this challenge in one-dimension by detecting significant slopes across multiple scales, but was not a…

统计理论 · 数学 2025-11-03 Rui Liu , Jan Hannig , J. S. Marron

Variational Monte Carlo (VMC) is a powerful and fast-growing method for optimizing and evolving parameterized many-body wave functions, especially with modern neural-network quantum states. In practice, however, the stochastic estimators…

强关联电子 · 物理学 2026-03-20 Zhou-Quan Wan , Roeland Wiersema , Shiwei Zhang

We show how the 3DVAR data assimilation methodology can be used in the astrophysical context of a two-dimensional convection flow. We study the way this variational approach finds best estimates of the current state of the flow from a…

太阳与恒星天体物理 · 物理学 2013-08-09 Andreas Svedin , Milena C. Cuellar , Axel Brandenburg

Finite-difference (FD) modeling of seismic waves in the vicinity of dipping interfaces gives rise to artifacts. Examples are phase and amplitude errors, as well as staircase diffractions. Such errors can be reduced in two general ways. In…

地球物理 · 物理学 2022-01-11 Erik F. M. Koene , Jens Wittsten , Johan O. A. Robertsson

Continued demand for accurate and computationally efficient transport methods to solve optically thick, fixed-source transport problems has inspired research on variance-reduction (VR) techniques for Monte Carlo (MC). Methods that use…

数值分析 · 计算机科学 2015-02-18 S. C. Wilson , R. N. Slaybaugh

We introduce a novel Bayesian method that can detect multiple structural breaks in the mean and variance of a length $T$ time-series. Our method quantifies uncertainty by returning $\alpha$-level credible sets around the estimated locations…

统计方法学 · 统计学 2025-07-14 Davis Berlind , Lorenzo Cappello , Oscar Hernan Madrid Padilla

The expressiveness of flow-based models combined with stochastic variational inference (SVI) has expanded the application of optimization-based Bayesian inference to highly complex problems. However, despite the importance of multi-model…

统计计算 · 统计学 2026-02-17 Laurence Davies , Dan Mackinlay , Rafael Oliveira , Scott A. Sisson

We present a new Bayesian methodology to learn the unknown material density of a given sample by inverting its two-dimensional images that are taken with a Scanning Electron Microscope. An image results from a sequence of projections of the…

应用统计 · 统计学 2014-03-06 Dalia Chakrabarty , Fabio Rigat , Nare Gabrielyan , Richard Beanland , Shashi Paul
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