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Survival analysis has become a standard approach for modelling time to default by time-varying covariates in credit risk. Unlike most existing methods that implicitly assume a stationary data-generating process, in practise, mortgage…

机器学习 · 统计学 2026-01-29 Jianwei Peng , Stefan Lessmann

Forecasting the imminent catastrophic failure has a high importance for a large variety of systems from the collapse of engineering constructions, through the emergence of landslides and earthquakes, to volcanic eruptions. Failure forecast…

无序系统与神经网络 · 物理学 2020-10-23 Viktória Kádár , Gergő Pál , Ferenc Kun

Understanding the inductive bias and generalization properties of large overparametrized machine learning models requires to characterize the dynamics of the training algorithm. We study the learning dynamics of large two-layer neural…

机器学习 · 统计学 2025-10-30 Andrea Montanari , Pierfrancesco Urbani

We extend the model-free data-driven paradigm for rate-independent fracture mechanics proposed in Carrara et al. (2020), Data-driven Fracture Mechanics, Comp. Meth. App. Mech. Eng., 372 to rate-dependent fracture and sub-critical fatigue.…

材料科学 · 物理学 2021-12-16 Pietro Carrara , Michael Ortiz , Laura De Lorenzis

Fracture in aluminum alloys with precipitates involves at least two mechanisms, namely, ductile fracture of the aluminum-rich matrix and brittle fracture of the precipitates. In this work, a coupled crystal plasticity-phase field model for…

材料科学 · 物理学 2022-05-02 Samad Vakili , Pratheek Shanthraj , Franz Roters , Jaber R. Mianroodi , Dierk Raabe

Fatigue fracture in ductile materials, e. g. metals, is caused by cyclic plasticity. Especially regarding the high numbers of load cycles, plastic material models resolving the full loading path are computationally very demanding. Herein, a…

材料科学 · 物理学 2019-10-24 Martha Seiler , Thomas Linse , Peter Hantschke , Markus Kästner

The analysis of standardized low cycle fatigue (LCF) experiments shows that the failure times widely scatter. Furthermore, mechanical components often fail before the deterministic failure time is reached. A possibility to overcome these…

材料科学 · 物理学 2022-07-07 M. Harder , P. Lion , L. Mäde , T. Beck , H. Gottschalk

We present a new theoretical and numerical phase field-based formulation for predicting hydrogen-assisted fatigue. The coupled deformation-diffusion-damage model presented enables predicting fatigue crack nucleation and growth for arbitrary…

计算工程、金融与科学 · 计算机科学 2021-10-02 Alireza Golahmar , Philip K. Kristensen , Christian F. Niordson , Emilio Martínez-Pañeda

A nonlocal model of peridynamic type for dynamic brittle damage is introduced consisting of two phases, one elastic and the other inelastic. Evolution from the elastic to the inelastic phase depends on material strength. Existence and…

偏微分方程分析 · 数学 2024-04-02 Robert P. Lipton , Debdeep Bhattacharya

Spatial and temporal features are studied with respect to their predictive value for failure time prediction in subcritical failure with machine learning (ML). Data are generated from simulations of a novel, brittle random fuse model (RFM),…

材料科学 · 物理学 2022-08-16 Stefan Hiemer , Paolo Moretti , Stefano Zapperi , Michael Zaiser

We present a mesoscale elastoplastic model of creep in disordered materials which considers temperature-dependent stochastic activation of localized deformation events which are mutually coupled by internal stresses, leading to collective…

材料科学 · 物理学 2018-09-26 David Fernandez Castellanos , Michael Zaiser

Engineering fatigue is a very prevalent and dangerous phenomenon that limits the useful life span of mechanical structures. It can be found in most engineered structures and machinery that are made from metallic or composite materials. The…

信号处理 · 电气工程与系统科学 2021-04-27 He-Wen-Xuan Li , David Chelidze

An equal load sharing fiber bundle model for thermally activated breakdown is developed using transition state theory to describe the rate of elementary failures. The lifetime distribution, average, variance and their asymptotic limits for…

统计力学 · 物理学 2025-08-20 Stefan Hiemer , Paolo Moretti , Stefano Zapperi , Michael Zaiser

This work presents a new model and estimation procedure for the illness-death survival data where the hazard functions follow accelerated failure time (AFT) models. A shared frailty variate induces positive dependence among failure times of…

统计方法学 · 统计学 2022-05-10 Lea Kats , Malka Gorfine

Simulating dynamic rupture propagation is challenging due to the uncertainties involved in the underlying physics of fault slip, stress conditions, and frictional properties of the fault. A trial and error approach is often used to…

地球物理 · 物理学 2019-06-17 Sabber Ahamed , Eric G. Daub

We consider first a homogeneous fiber bundle model where all the fibers have got the same stress threshold beyond which all fail simultaneously in absence of noise. At finite noise, the bundle acquires a fatigue behavior due to the…

统计力学 · 物理学 2009-11-07 Srutarshi Pradhan , Bikas K. Chakrabarti

The dynamics of coupled 2D chaotic maps with time-delay on a scalefree-tree is studied, with different types of the collective behaviors already been reported for various values of coupling strength [1]. In this work we focus on the…

统计力学 · 物理学 2008-05-22 Zoran Levnajić

In a dependent multi-component system, increasing the deterioration of a part leads to the increased deterioration rate of other parts as well. In these systems, a deterioration limit is usually pre-determined for each part and the…

系统与控制 · 电气工程与系统科学 2019-07-25 Hamed Badakhsh , Mohammad Pirhooshyaran , Abdolhamid Eshragh-Jahromi

This paper develops a framework for creating damage accumulation models for engineered wood products by invoking the classical theory of non--dimensionalization. The result is a general class of such models. Both the US and Canadian damage…

应用统计 · 统计学 2017-08-11 Samuel W. K. Wong , James V. Zidek

Degradation data are essential for determining the reliability of high-end products and systems, especially when covering multiple degradation characteristics (DCs). Modern degradation studies not only measure these characteristics but also…

统计方法学 · 统计学 2025-04-09 Zhengzhi Lin , Xiao Liu , Yisha Xiang , Yili Hong