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Injection molding is a critical manufacturing process, but controlling warpage remains a major challenge due to complex thermomechanical interactions. Simulation-based optimization is widely used to address this, yet traditional methods…

统计方法学 · 统计学 2026-01-12 Yezhuo Li , Fan Zhang , Dhanashree Shinde , Qiong Zhang , Sai Pradeep , Srikanth Pilla , Gang Li

We propose a novel, succinct, and effective approach for distribution prediction to quantify uncertainty in machine learning. It incorporates adaptively flexible distribution prediction of $\mathbb{P}(\mathbf{y}|\mathbf{X}=x)$ in regression…

机器学习 · 计算机科学 2023-06-21 Xing Yan , Yonghua Su , Wenxuan Ma

We study a notion of robustness of a Markov kernel that describes a system of several input random variables and one output random variable. Robustness requires that the behaviour of the system does not change if one or several of the input…

概率论 · 数学 2014-06-18 Johannes Rauh , Nihat Ay

The present paper proposes a novel Bayesian, computational strategy in the context of model-based inverse problems in elastostatics. On one hand we attempt to provide probabilistic estimates of the material properties and their spatial…

统计计算 · 统计学 2015-12-21 P. S. Koutsourelakis

The structure of a Bayesian network encodes most of the information about the probability distribution of the data, which is uniquely identified given some general distributional assumptions. Therefore it's important to study the…

统计方法学 · 统计学 2014-10-15 Marco Scutari

A novel variational inference based resampling framework is proposed to evaluate the robustness and generalization capability of deep learning models with respect to distribution shift. We use Auto Encoding Variational Bayes to find a…

机器学习 · 计算机科学 2019-10-29 Xudong Sun , Alexej Gossmann , Yu Wang , Bernd Bischl

The automated construction of coarse-grained models represents a pivotal component in computer simulation of physical systems and is a key enabler in various analysis and design tasks related to uncertainty quantification. Pertinent methods…

机器学习 · 统计学 2019-09-11 Constantin Grigo , Phaedon-Stelios Koutsourelakis

The examination of uncertainty in the predictions of machine learning (ML) models is receiving increasing attention. One uncertainty modeling technique used for this purpose is Monte-Carlo (MC)-Dropout, where repeated predictions are…

计算机视觉与模式识别 · 计算机科学 2023-05-25 Florian Heidecker , Ahmad El-Khateeb , Bernhard Sick

We propose a tractable semiparametric estimation method for structural dynamic discrete choice models. The distribution of additive utility shocks in the proposed framework is modeled by location-scale mixtures of extreme value…

计量经济学 · 经济学 2023-08-15 Andriy Norets , Kenichi Shimizu

This two-part paper discusses robustification methodologies for linear-iterative distributed algorithms for consensus and coordination problems in multicomponent systems, in which unreliable communication links may drop packets. We consider…

系统与控制 · 计算机科学 2011-09-30 Alejandro D. Dominguez-Garcia , Christoforos N. Hadjicostis , Nitin H. Vaidya

Structural equation models are commonly used to capture the relationship between sets of observed and unobservable variables. Traditionally these models are fitted using frequentist approaches but recently researchers and practitioners have…

统计方法学 · 统计学 2023-02-22 Khue-Dung Dang , Luca Maestrini

Model-X knockoffs is a wrapper that transforms essentially any feature importance measure into a variable selection algorithm, which discovers true effects while rigorously controlling the expected fraction of false positives. A frequently…

统计方法学 · 统计学 2024-03-12 Stephen Bates , Emmanuel Candès , Lucas Janson , Wenshuo Wang

Creep failure under high temperatures is a complex multiscale and multi-mechanism issue involving inherent microstructural randomness. To investigate the effect of microstructures on the uniaxial/multiaxial creep failure, a dual-scale…

材料科学 · 物理学 2025-04-02 Weichen Kong , Yanwei Dai , Xiang Zhang , Yinghua Liu

The goal of this paper is to estimate an optimal combination of biomarkers for individuals with Duchenne muscular dystrophy (DMD), which provides the most sensitive combinations of biomarkers to assess disease progression (in this case,…

Frailty models are often the model of choice for heterogeneous survival data. A frailty model contains both random effects and fixed effects, with the random effects accommodating for the correlation in the data. Different estimation…

统计方法学 · 统计学 2019-09-17 Oodally Ajmal , Luc Duchateau , Estelle Kuhn

We present a method for making neural network predictions robust to shifts from the training data distribution. The proposed method is based on making predictions via a diverse set of cues (called 'middle domains') and ensembling them into…

计算机视觉与模式识别 · 计算机科学 2021-09-06 Teresa Yeo , Oğuzhan Fatih Kar , Alexander Sax , Amir Zamir

We develop a diagrammatic technique to represent the multi-point cumulative probability density function (CPDF) of mass fluctuations in terms of the statistical properties of individual collapsed objects and relate this to other statistical…

天体物理学 · 物理学 2009-10-31 Dipak Munshi , Peter Coles , Adrian L. Melott

The success of autoregressive models largely depends on the effectiveness of vector quantization, a technique that discretizes continuous features by mapping them to the nearest code vectors within a learnable codebook. Two critical issues…

计算机视觉与模式识别 · 计算机科学 2025-06-19 Xianghong Fang , Litao Guo , Hengchao Chen , Yuxuan Zhang , XiaofanXia , Dingjie Song , Yexin Liu , Hao Wang , Harry Yang , Yuan Yuan , Qiang Sun

Stiffness degradation and progressive failure of composite laminates are complex processes involving evolution and multi-mode interactions among fiber fractures, intra-ply matrix cracks and inter-ply delaminations. This paper presents a…

数值分析 · 数学 2023-11-06 Jiakun Liu , Stuart Leigh Phoenix

Due to the complexity of order statistics, the finite sample behaviour of robust statistics is generally not analytically solvable. While the Monte Carlo method can provide approximate solutions, its convergence rate is typically very slow,…

统计方法学 · 统计学 2024-09-12 Li Tuobang