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We explore Implicit Monte Carlo (IMC) and Discrete Diffusion Monte Carlo (DDMC) for radiation transport in high-velocity outflows with structured opacity. The IMC method is a stochastic computational technique for nonlinear radiation…

Dynamic Mode Decomposition (DMD) is a popular data-driven analysis technique used to decompose complex, nonlinear systems into a set of modes, revealing underlying patterns and dynamics through spectral analysis. This review presents a…

动力系统 · 数学 2023-12-22 Matthew J. Colbrook

Dynamic mode decomposition (DMD) is a powerful data-driven technique for construction of reduced-order models of complex dynamical systems. Multiple numerical tests have demonstrated the accuracy and efficiency of DMD, but mostly for…

数值分析 · 数学 2021-07-28 Hannah Lu , Daniel M. Tartakovsky

We propose a novel and unified method, measurement-conditioned denoising diffusion probabilistic model (MC-DDPM), for under-sampled medical image reconstruction based on DDPM. Different from previous works, MC-DDPM is defined in measurement…

图像与视频处理 · 电气工程与系统科学 2022-03-09 Yutong Xie , Quanzheng Li

Dynamic Mode Decomposition (DMD) is a data based modeling tool that identifies a matrix to map a quantity at some time instant to the same quantity in future. We design a new version which we call Adaptive Dynamic Mode Decomposition (ADMD)…

信号处理 · 电气工程与系统科学 2020-12-16 Mohammad N. Murshed , M. Monir Uddin

Hamiltonian Monte Carlo (HMC) is widely used for sampling from high dimensional target distributions with densities known up to proportionality. While HMC exhibits favorable scaling properties in high dimensions, it struggles with strongly…

统计计算 · 统计学 2025-07-30 Joonha Park

Implicit Monte Carlo (IMC) and Discrete Diffusion Monte Carlo (DDMC) are methods used to stochastically solve the radiative transport and diffusion equations, respectively. These methods combine into a hybrid transport-diffusion method we…

高能天体物理现象 · 物理学 2015-06-22 Ryan T. Wollaeger , Daniel R. van Rossum

Colloids have a striking relevance in a wide spectrum of industrial formulations, spanning from personal care products to protective paints. Their behaviour can be easily influenced by extremely weak forces, which disturb their…

软凝聚态物质 · 物理学 2018-06-14 Daniel Corbett , Alejandro Cuetos , Matthew Dennison , Alessandro Patti

Dynamic Mode Decomposition (DMD) is a powerful data-driven method used to extract spatio-temporal coherent structures that dictate a given dynamical system. The method consists of stacking collected temporal snapshots into a matrix and…

机器学习 · 计算机科学 2021-05-11 Gabriel F. Barros , Malú Grave , Alex Viguerie , Alessandro Reali , Alvaro L. G. A. Coutinho

Data-driven and non-intrusive DMDc and DMDspc models successfully expedite the reconstruction and forecasting of CO2 fluid flow with acceptable accuracy margins, aiding in the rapid optimization of geological CO2 storage forecast and…

计算物理 · 物理学 2025-04-01 Dimitrios Voulanas , Eduardo Gildin

Recent studies demonstrate that diffusion models can serve as a strong prior for solving inverse problems. A prominent example is Diffusion Posterior Sampling (DPS), which approximates the posterior distribution of data given the measure…

机器学习 · 统计学 2024-09-16 Yaxuan Zhu , Zehao Dou , Haoxin Zheng , Yasi Zhang , Ying Nian Wu , Ruiqi Gao

High-throughput characterization often requires estimating parameters and model dimension from experimental data of limited quantity and quality. Such data may result in an ill-posed inverse problem, where multiple sets of parameters and…

量子物理 · 物理学 2026-04-08 Abigail N. Poteshman , Jiwon Yun , Tim H. Taminiau , Giulia Galli

Spectro-polarimetric imaging provides multidimensional optical information acquisition capabilities, offering significant potential for diverse applications. Current spectro-polarimetric imaging systems typically suffer from large physical…

图像与视频处理 · 电气工程与系统科学 2025-09-18 Jingyue Ma , Zhenming Yu , Zhengyang Li , Liang Lin , Liming Cheng , Jiayu Di , Tongshuo Zhang , Ning Zhan , Kun Xu

There has been considerable interest in making Bayesian inference more scalable. In big data settings, most literature focuses on reducing the computing time per iteration, with less focused on reducing the number of iterations needed in…

统计方法学 · 统计学 2017-09-28 Leo L. Duan , James E. Johndrow , David B. Dunson

Dynamic mode decomposition (DMD) is a data-driven method of extracting spatial-temporal coherent modes from complex systems and providing an equation-free architecture to model and predict systems. However, in practical applications, the…

系统与控制 · 电气工程与系统科学 2024-10-07 Ningxin Liu , Shuigen Liu , Xin T. Tong , Lijian Jiang

In this paper, we propose a discontinuous Hamilton Monte Carlo (DHMC) to sample from dimensional varying distributions, and particularly the grand canonical ensemble. The DHMC was proposed in [Biometrika, 107(2)] for discontinuous potential…

数值分析 · 数学 2025-05-16 Lei Li , Xiangxian Luo , Yinchen Luo

This paper introduces a data-driven time embedding method for modeling long-range seasonal dependencies in spatiotemporal forecasting tasks. The proposed approach employs Dynamic Mode Decomposition (DMD) to extract temporal modes directly…

机器学习 · 计算机科学 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Xudong Wang , Lijun Sun

The Dynamic-Mode Decomposition (DMD) is a well established data-driven method of finding temporally evolving linear-mode decompositions of nonlinear time series. Traditionally, this method presumes that all relevant dimensions are sampled…

动力系统 · 数学 2021-01-13 Christopher W. Curtis , Daniel Jay Alford-Lago

Current mm/submm interferometers, like the Atacama Large mm/submm Array (ALMA), use receivers that register the sky signal in a linear polarization basis. In the case of observations performed in full-polarization mode (where the…

天体物理仪器与方法 · 物理学 2016-09-21 I. Marti-Vidal , W. H. T. Vlemmings , S. Muller

The calibration of extrinsic parameters and clock offsets between sensors for high-accuracy performance in underwater SLAM systems remains insufficiently explored. Existing methods for Doppler Velocity Log (DVL) calibration are either…

机器人学 · 计算机科学 2025-10-29 Hongxu Zhao , Guangyang Zeng , Yunling Shao , Tengfei Zhang , Junfeng Wu
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