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We introduce a data-driven dynamic factor framework for modeling the joint evolution of high-dimensional covariates and responses without parametric assumptions. Standard factor models applied to covariates alone often lose explanatory…

机器学习 · 统计学 2026-01-16 Graeme Baker , Agostino Capponi , J. Antonio Sidaoui

Recent advances in reconstruction methods for inverse problems leverage powerful data-driven models, e.g., deep neural networks. These techniques have demonstrated state-of-the-art performances for several imaging tasks, but they often do…

计算机视觉与模式识别 · 计算机科学 2020-10-20 Riccardo Barbano , Chen Zhang , Simon Arridge , Bangti Jin

In Structural Health Monitoring (SHM), the recovery of distributed mechanical parameters from sparse data is often ill-posed, raising critical questions about identifiability and the reliability of inferred states. While deterministic…

计算工程、金融与科学 · 计算机科学 2025-11-24 Tammam Bakeer , Max Herbers , Steffen Marx

This paper considers the problem of sequential fusion of predictions from neural networks (NN) and fusion of predictions from multiple NN. This fusion strategy increases the robustness, i.e., reduces the impact of one incorrect…

信号处理 · 电气工程与系统科学 2023-10-13 Magnus Malmström , Isaac Skog , Daniel Axehill , Fredrik Gustafsson

Motion prediction of road users in traffic scenes is critical for autonomous driving systems that must take safe and robust decisions in complex dynamic environments. We present a novel motion prediction system for autonomous driving. Our…

机器人学 · 计算机科学 2022-08-16 Morris Antonello , Mihai Dobre , Stefano V. Albrecht , John Redford , Subramanian Ramamoorthy

Deep model fusion/merging is an emerging technique that merges the parameters or predictions of multiple deep learning models into a single one. It combines the abilities of different models to make up for the biases and errors of a single…

机器学习 · 计算机科学 2023-09-28 Weishi Li , Yong Peng , Miao Zhang , Liang Ding , Han Hu , Li Shen

We develop a novel data-driven approach to the inverse problem of classical statistical mechanics: given experimental data on the collective motion of a classical many-body system, how does one characterise the free energy landscape of that…

统计力学 · 物理学 2022-03-01 Peter Yatsyshin , Serafim Kalliadasis , Andrew B. Duncan

The article considers the nonlinear inverse problem of identifying the material parameters in viscoelastic structures based on a generalized Maxwell model. The aim is to reconstruct the model parameters from stress data acquired from a…

数值分析 · 数学 2025-03-18 Rebecca Rothermel , Thomas Schuster

The JETSCAPE Collaboration reports a new determination of the jet transport parameter $\hat{q}$ in the Quark-Gluon Plasma (QGP) using Bayesian Inference, incorporating all available inclusive hadron and jet yield suppression data measured…

These lecture notes highlight the mathematical and computational structure relating to the formulation of, and development of algorithms for, the Bayesian approach to inverse problems in differential equations. This approach is fundamental…

概率论 · 数学 2015-07-03 Masoumeh Dashti , Andrew M. Stuart

Bayesian experimental design (BED) offers a principled framework for optimizing data acquisition by leveraging probabilistic inference. However, practical implementations of BED are often compromised by model discrepancy, i.e., the mismatch…

机器学习 · 计算机科学 2025-11-25 Huchen Yang , Xinghao Dong , Jin-Long Wu

The goal of magnetic fusion research is to extract the power released by fusion reactions and carried by the product of these reactions, liberated at energies of the order of a few MeV. The feasibility of fusion energy production relies on…

等离子体物理 · 物理学 2009-12-15 Christine Nguyen

Multi-fidelity models are becoming more prevalent in engineering, particularly in aerospace, as they combine both the computational efficiency of low-fidelity models with the high accuracy of higher-fidelity simulations. Various…

计算工程、金融与科学 · 计算机科学 2024-07-09 Andrea Vaiuso , Gabriele Immordino , Marcello Righi , Andrea Da Ronch

Fusing the camera and LiDAR information has become a de-facto standard for 3D object detection tasks. Current methods rely on point clouds from the LiDAR sensor as queries to leverage the feature from the image space. However, people…

计算机视觉与模式识别 · 计算机科学 2022-11-14 Tingting Liang , Hongwei Xie , Kaicheng Yu , Zhongyu Xia , Zhiwei Lin , Yongtao Wang , Tao Tang , Bing Wang , Zhi Tang

Modeling correlation (and covariance) matrices can be challenging due to the positive-definiteness constraint and potential high-dimensionality. Our approach is to decompose the covariance matrix into the correlation and variance matrices…

This work explores a novel approach to mitigating turbulence in fusion plasmas through spatially modulated plasma profiles. By imposing a harmonic modulation on plasma parameters, we introduce conditions that alter the propagation…

等离子体物理 · 物理学 2024-12-10 Ilya Shesterikov

This paper presents a multi-sensor fusion strategy for a novel road-matching method designed to support real-time navigational features within advanced driving-assistance systems. Managing multihypotheses is a useful strategy for the…

人工智能 · 计算机科学 2007-09-10 Cherif Smaili , Maan El Badaoui El Najjar , François Charpillet

Brain function is organized in coordinated modes of spatio-temporal activity (functional networks) exhibiting an intrinsic baseline structure with variations under different experimental conditions. Existing approaches for uncovering such…

统计方法学 · 统计学 2019-02-13 Joshua Lukemire , Suprateek Kundu , Giuseppe Pagnoni , Ying Guo

The main object of this paper is to show how we can use classical probabilistic methods such as Maximum Entropy (ME), maximum likelihood (ML) and/or Bayesian (BAYES) approaches to do microscopic and macroscopic data fusion. Actually ME can…

数据分析、统计与概率 · 物理学 2007-05-23 A. Mohammad-Djafari

Directional data emerges in a wide array of applications, ranging from atmospheric sciences to medical imaging. Modeling such data, however, poses unique challenges by virtue of their being constrained to non-Euclidean spaces like…

统计理论 · 数学 2019-07-10 Subhadip Pal , Subhajit Sengupta , Riten Mitra , Arunava Banerjee