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Gaussian graphical models are a popular tool to learn the dependence structure in the form of a graph among variables of interest. Bayesian methods have gained in popularity in the last two decades due to their ability to simultaneously…

统计理论 · 数学 2019-04-02 Yabo Niu , Debdeep Pati , Bani Mallick

In this study, we explore the use of Convolutional Neural Networks for improving train speed estimation accuracy, addressing the complex challenges of modern railway systems. We investigate three CNN architectures - single-branch 2D,…

机器学习 · 计算机科学 2025-08-26 Haitao Tian , Argyrios Zolotas , Miguel Arana-Catania

To ensure the safety of railroad operations, it is important to monitor and forecast track geometry irregularities. A higher safety requires forecasting with higher spatiotemporal frequencies, which in turn requires capturing spatial…

机器学习 · 计算机科学 2023-02-24 Katsuya Kosukegawa , Yasukuni Mori , Hiroki Suyari , Kazuhiko Kawamoto

Optimal sampling strategies are critical for surveys of deeper coral reef and shoal systems, due to the significant cost of accessing and field sampling these remote and poorly understood ecosystems. Additionally, well-established standard…

统计方法学 · 统计学 2022-08-31 Dilishiya De Silva , Rebecca Fisher , Ben Radford , Helen Thompson , James McGree

The properties of slow crack growth in brittle materials are analyzed both theoretically and experimentally. We propose a model based on a thermally activated rupture process. Considering a 2D spring network submitted to an external load…

材料科学 · 物理学 2009-11-13 Stéphane Santucci , Loic Vanel , Sergio Ciliberto

Many machine learning tools for regression are based on recursive partitioning of the covariate space into smaller regions, where the regression function can be estimated locally. Among these, regression trees and their ensembles have…

统计理论 · 数学 2017-11-30 Stephanie van der Pas , Veronika Rockova

While cracking is a complex dynamics that involves material intrinsic properties like grain shape and size distribution, elastic properties of grain and cementing materials, and extrinsic properties of loading, in this work, the focus has…

材料科学 · 物理学 2024-10-10 Ruhul A. I. Haque , T. Dutta

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

统计方法学 · 统计学 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

The phenomenon of arrest of an unstably-growing crack due to a curved weak interface is investigated. The weak interface can produce the deviation of the crack path, trapping the crack at the interface, leading to stable crack growth for…

材料科学 · 物理学 2020-09-15 M. T. Aranda , I. G. Garcia , J. Reinoso , V. Mantic , M. Paggi

Velocity jumps observed for crack propagation under a static boundary condition have been used as a controlling factor in developing tough rubbers. However, the static test requires many samples to detect the velocity jump. On the contrary,…

软凝聚态物质 · 物理学 2019-07-17 Yuko Aoyanagi , Ko Okumura

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using a…

机器学习 · 统计学 2023-05-02 Aliaksandr Hubin , Geir Storvik

Analytic relations that describe crack growth are vital for modeling experiments and building a theoretical understanding of fracture. Upon constructing an idealized model system for the crack and applying the principles of statistical…

统计力学 · 物理学 2024-01-10 Michael R. Buche , Scott J. Grutzik

Structural uncertainties and unresolved features in fault zones hinder the assessment of leakage risks in subsurface CO2 storage. Understanding multi-scale uncertainties in fracture network conductivity is crucial for mitigating risks and…

地球物理 · 物理学 2025-09-09 Sarah Perez , Florian Doster , Julien Maes , Hannah Menke , Ahmed ElSheikh , Andreas Busch

Dynamic Bayesian networks have been well explored in the literature as discrete-time models: however, their continuous-time extensions have seen comparatively little attention. In this paper, we propose the first constraint-based algorithm…

人工智能 · 计算机科学 2021-06-04 Alessandro Bregoli , Marco Scutari , Fabio Stella

In the presence of modeling errors, the mainstream Bayesian methods seldom give a realistic account of uncertainties as they commonly underestimate the inherent variability of parameters. This problem is not due to any misconception in the…

应用统计 · 统计学 2020-05-19 Omid Sedehi , Costas Papadimitriou , Lambros S. Katafygiotis

Deep learning models, such as convolutional neural networks, have long been applied to image and multi-media tasks, particularly those with structured data. More recently, there has been more attention to unstructured data that can be…

机器学习 · 计算机科学 2021-09-17 Rohitash Chandra , Ayush Bhagat , Manavendra Maharana , Pavel N. Krivitsky

Bayesian averaging over classification models allows the uncertainty of classification outcomes to be evaluated, which is of crucial importance for making reliable decisions in applications such as financial in which risks have to be…

In self-driving, predicting future in terms of location and motion of all the agents around the vehicle is a crucial requirement for planning. Recently, a new joint formulation of perception and prediction has emerged by fusing rich sensory…

计算机视觉与模式识别 · 计算机科学 2022-08-12 Adil Kaan Akan , Fatma Güney

The past few years have witnessed the rapid development in multivariate time series forecasting. The key to accurate forecasting results is capturing the long-term dependency between each time step (cross-time dependency) and modeling the…

机器学习 · 计算机科学 2023-06-06 Donghao Luo , Xue Wang

We consider the problem of predicting as well as the best linear combination of d given functions in least squares regression under L^\infty constraints on the linear combination. When the input distribution is known, there already exists…

统计理论 · 数学 2011-09-14 Jean-Yves Audibert , Olivier Catoni