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The application of machine learning to physics problems is widely found in the scientific literature. Both regression and classification problems are addressed by a large array of techniques that involve learning algorithms. Unfortunately,…

机器学习 · 计算机科学 2022-10-03 Umberto Michelucci , Francesca Venturini

Failure probabilities for grid components are often estimated using parametric models which can capitalize on operational grid data. This work formulates a Bayesian hierarchical framework designed to integrate data and domain expertise to…

系统与控制 · 电气工程与系统科学 2020-01-22 Laurel N. Dunn , Ioanna Kavvada , Mathilde Badoual , Scott J. Moura

Gravity inversion is a commonly applied data analysis technique in the field of geophysics. While machine learning methods have previously been explored for the problem of gravity inversion, these are deterministic approaches returning a…

地球物理 · 物理学 2023-11-29 Henrietta Rakoczi , Abhinav Prasad , Karl Toland , Christopher Messenger , Giles Hammond

Sampling is a fundamental problem in computer science and statistics. However, for a given task and stream, it is often not possible to choose good sampling probabilities in advance. We derive a general framework for adaptively changing the…

机器学习 · 统计学 2022-06-16 Daniel Ting

The objective of this work is to quantify the uncertainty in probability of failure estimates resulting from incomplete knowledge of the probability distributions for the input random variables. We propose a framework that couples the…

统计方法学 · 统计学 2021-10-26 Dimitris G. Giovanis , Michael Shields

As the use of machine learning in high impact domains becomes widespread, the importance of evaluating safety has increased. An important aspect of this is evaluating how robust a model is to changes in setting or population, which…

机器学习 · 计算机科学 2021-03-16 Adarsh Subbaswamy , Roy Adams , Suchi Saria

Climate change has increased the severity and frequency of weather disasters all around the world. Flood inundation mapping based on earth observation data can help in this context, by providing cheap and accurate maps depicting the area…

机器学习 · 计算机科学 2023-03-02 Kevin Iselborn , Marco Stricker , Takashi Miyamoto , Marlon Nuske , Andreas Dengel

Matrix completion tackles the task of predicting missing values in a low-rank matrix based on a sparse set of observed entries. It is often assumed that the observation pattern is generated uniformly at random or has a very specific…

机器学习 · 统计学 2025-03-18 Yudong Chen , Xumei Xi , Christina Lee Yu

We propose Functional Flow Matching (FFM), a function-space generative model that generalizes the recently-introduced Flow Matching model to operate in infinite-dimensional spaces. Our approach works by first defining a path of probability…

机器学习 · 计算机科学 2023-12-07 Gavin Kerrigan , Giosue Migliorini , Padhraic Smyth

Fitting a simplifying model with several parameters to real data of complex objects is a highly nontrivial task, but enables the possibility to get insights into the objects physics. Here, we present a method to infer the parameters of the…

数据分析、统计与概率 · 物理学 2018-12-21 Johannes Oberpriller , T. A. Enßlin

Data attribution aims to explain model predictions by estimating how they would change if certain training points were removed, and is used in a wide range of applications, from interpretability and credit assignment to unlearning and…

机器学习 · 计算机科学 2026-05-19 Ittai Rubinstein , Samuel B. Hopkins

Bayesian analysis plays a crucial role in estimating distribution of unknown parameters for given data and model. Due to the curse of dimensionality, it becomes difficult for high-dimensional problems, especially when multiple modes exist.…

统计方法学 · 统计学 2025-07-18 Zihan Liao , Binbin Li , Hua-Ping Wan

A platform trial with a master protocol provides an infrastructure to ethically and efficiently evaluate multiple treatment options in multiple diseases. Given that certain study drugs can enter or exit a platform trial, the randomization…

统计方法学 · 统计学 2025-07-15 Tianyu Zhan , Jane Zhang , Lei Shu , Yihua Gu

Classical field forecast evaluation relies mainly on local scores such as RMSE or MAE. These metrics severely over-penalize small spatial or temporal displacements of coherent structures, a limitation known as the double-penalty issue and…

大气与海洋物理 · 物理学 2026-04-20 Cyril Voyant

A conceptual area is divided into units or barangays, each was allowed to evolve under a physical constraint. A risk assessment method was then used to identify the flood risk in each community using the following risk factors: the area's…

We are experiencing an explosion in the amount of sensors measuring our activities and the world around us. These sensors are spread throughout the built environment and can help us perform state estimation and control of related systems,…

系统与控制 · 计算机科学 2018-02-06 Matthew A. Wright , Roberto Horowitz

Modeling flow in geosystems with natural fault is a challenging problem due to low permeability of fault compared to its surrounding porous media. One way to predict the behavior of the flow while taking the effects of fault into account is…

数值分析 · 数学 2020-09-11 Youguang Chen , George Biros

This work proposes a hybrid modeling framework based on recurrent neural networks (RNNs) and the finite element (FE) method to approximate model discrepancies in time dependent, multi-fidelity problems, and use the trained hybrid models to…

计算工程、金融与科学 · 计算机科学 2024-02-20 Moritz von Tresckow , Herbert De Gersem , Dimitrios Loukrezis

The problem of identifying regions of spatially interesting, different or adversarial behavior is inherent to many practical applications involving distributed multisensor systems. In this work, we develop a general framework stemming from…

信号处理 · 电气工程与系统科学 2022-06-14 Martin Gölz , Abdelhak M. Zoubir , Visa Koivunen

Model performance evaluation is a critical and expensive task in machine learning and computer vision. Without clear guidelines, practitioners often estimate model accuracy using a one-time completely random selection of the data. However,…

计算机视觉与模式识别 · 计算机科学 2024-07-19 Riccardo Fogliato , Pratik Patil , Mathew Monfort , Pietro Perona
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