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The characterization of intermittent, multiscale and transient dynamics using data-driven analysis remains an open challenge. We demonstrate an application of the Dynamic Mode Decomposition (DMD) with sparse sampling for the diagnostic…

动力系统 · 数学 2020-05-18 Krithika Manohar , Eurika Kaiser , Steven L. Brunton , J. Nathan Kutz

In this contribution, we consider the problem of the blind separation of noisy instantaneously mixed images. The images are modelized by hidden Markov fields with unknown parameters. Given the observed images, we give a Bayesian formulation…

数据分析、统计与概率 · 物理学 2007-05-23 Hichem Snoussi , Ali Mohammad-Djafari

We propose improved versions of the standard diffusion Monte Carlo (DMC) and the lattice regularized diffusion Monte Carlo (LRDMC) algorithms. For the DMC method, we refine a scheme recently devised to treat non-local pseudopotential in a…

其他凝聚态物理 · 物理学 2015-05-18 Michele Casula , Saverio Moroni , Sandro Sorella , Claudia Filippi

The polarization modes of the cosmological microwave background are an invaluable source of information for cosmology, and a unique window to probe the energy scale of inflation. Extracting such information from microwave surveys requires…

宇宙学与河外天体物理 · 物理学 2015-11-04 Jerome Bobin , Florent Sureau , Jean-Luc Starck

In multiple-input and multiple-output (MIMO) radar systems based on Doppler-division multiplexing (DDM), phase shifters are employed in the transmit paths and require calibration strategies to maintain optimal performance all along the…

信号处理 · 电气工程与系统科学 2024-06-26 Mayeul Jeannin , Oliver Lang , Farhan Bin Khalid , Dian Tresna Nugraha , Mario Huemer

To sample from a general target distribution $p_*\propto e^{-f_*}$ beyond the isoperimetric condition, Huang et al. (2023) proposed to perform sampling through reverse diffusion, giving rise to Diffusion-based Monte Carlo (DMC).…

机器学习 · 统计学 2024-01-15 Xunpeng Huang , Difan Zou , Hanze Dong , Yian Ma , Tong Zhang

Bayesian analysis often concerns an evaluation of models with different dimensionality as is necessary in, for example, model selection or mixture models. To facilitate this evaluation, transdimensional Markov chain Monte Carlo (MCMC)…

统计方法学 · 统计学 2018-08-13 Daniel W. Heck , Antony M. Overstall , Quentin F. Gronau , Eric-Jan Wagenmakers

We propose a novel approach to solving input- and state-constrained parametric mixed-integer optimal control problems using Differentiable Predictive Control (DPC). Our approach follows the differentiable programming paradigm by learning an…

系统与控制 · 电气工程与系统科学 2025-06-25 Ján Boldocký , Shahriar Dadras Javan , Martin Gulan , Martin Mönnigmann , Ján Drgoňa

Channel polarization is a method of constructing capacity achieving codes for symmetric binary-input discrete memoryless channels (B-DMCs) [1]. In the original paper, the construction complexity is exponential in the blocklength. In this…

信息论 · 计算机科学 2009-05-23 Ryuhei Mori , Toshiyuki Tanaka

Accurate electricity consumption forecasting is essential for demand management and smart grid operations. This paper introduces a unified deep learning framework that integrates cyclical temporal encoding with hybrid LSTM-CNN architectures…

机器学习 · 计算机科学 2025-12-04 Salim Khazem , Houssam Kanso

Extracting coherent patterns is one of the standard approaches towards understanding spatio-temporal data. Dynamic mode decomposition (DMD) is a powerful tool for extracting coherent patterns, but the original DMD and most of its variants…

机器学习 · 计算机科学 2021-02-22 Naoya Takeishi , Keisuke Fujii , Koh Takeuchi , Yoshinobu Kawahara

The identification of parameters in mathematical models using noisy observations is a common task in uncertainty quantification. We employ the framework of Bayesian inversion: we combine monitoring and observational data with prior…

统计计算 · 统计学 2018-05-11 Jonas Latz , Iason Papaioannou , Elisabeth Ullmann

While Diffusion Monte Carlo (DMC) is in principle an exact stochastic method for \textit{ab initio} electronic structure calculations, in practice the fermionic sign problem necessitates the use of the fixed-node approximation and trial…

Dynamic mode decomposition (DMD) is a widely used data-driven algorithm for predicting the future states of dynamical systems. However, its standard formulation often struggles with poor long-term predictive accuracy. To address this…

数值分析 · 数学 2025-10-23 Qiuqi Li , Chang Liu , Yifei Yang

Accurate computational screening of candidate materials promises to accelerate the discovery of higher-efficiency organic photovoltaics (OPVs). However, modelling charge separation in OPVs is challenging because accurate models must include…

化学物理 · 物理学 2023-08-28 Jacob T. Willson , Daniel Balzer , Ivan Kassal

This paper investigates a computational strategy for studying the interactions between multiple through-the-width delaminations and global or local buckling in composite laminates taking into account possible contact between the delaminated…

数值分析 · 数学 2012-09-03 Karin Saavedra , Olivier Allix , Pierre Gosselet

Probability calibration for deep models is highly desirable in safety-critical applications such as medical imaging. It makes output probabilities of deep networks interpretable, by aligning prediction probability with the actual accuracy…

计算机视觉与模式识别 · 计算机科学 2022-09-16 Cheng Ouyang , Shuo Wang , Chen Chen , Zeju Li , Wenjia Bai , Bernhard Kainz , Daniel Rueckert

6-Degree of Freedom (6DoF) motion estimation with a combination of visual and inertial sensors is a growing area with numerous real-world applications. However, precise calibration of the time offset between these two sensor types is a…

机器人学 · 计算机科学 2025-01-06 Yunfei Fan , Tianyu Zhao , Linan Guo , Chen Chen , Xin Wang , Fengyi Zhou

Dynamic Mode Decomposition (DMD) is a data-driven and model-free decomposition technique. It is suitable for revealing spatio-temporal features of both numerically and experimentally acquired data. Conceptually, DMD performs a…

流体动力学 · 物理学 2020-12-18 Tim Krake , Stefan Reinhardt , Marcel Hlawatsch , Bernhard Eberhardt , Daniel Weiskopf

A novel multiscale numerical method is developed to accelerate direct simulation Monte Carlo (DSMC) simulations for polyatomic gases with internal energy. This approach applies the general synthetic iterative scheme to stochastic…

计算物理 · 物理学 2025-01-22 Liyan Luo , Tao Huang , Qi Li , Lei Wu