Grassmannian Geometry Meets Dynamic Mode Decomposition in DMD-GEN: A New Metric for Mode Collapse in Time Series Generative Models [PDF]
Generative models like Generative Adversarial Networks (GANs) and Variational Autoencoders (VAEs) often fail to capture the full diversity of their training data, leading to mode collapse. While this issue is well-explored in image generation, it remains underinvestigated for time series data.
Amine Mohamed Aboussalah +1 more
core +4 more sources
Prediction of induced soil vibration during pile vibrodriving using Dynamic Mode Decomposition (DMD)
Abstract This study investigates using the Dynamic Mode Decomposition (DMD) algorithm to perform approximations and time-ahead prediction of soil vibrations during the vibrodriving process. Geotechnical applications face challenges in modeling and predicting soil vibrations due to the soil’s heterogeneous nature.
Williams Riquer, Francisco +3 more
openaire +2 more sources
Real-time motion detection using dynamic mode decomposition [PDF]
Dynamic mode decomposition (DMD) is a numerical method that seeks to fit time-series data to a linear dynamical system. In doing so, DMD decomposes dynamic data into spatially coherent modes that evolve in time according to exponential growth/decay or ...
Marco Mignacca +2 more
doaj +2 more sources
Towards an Adaptive Dynamic Mode Decomposition
Dynamic Mode Decomposition (DMD) is a tool that creates an approximate model from spatio-temporal data. We have developed an architecture of this tool that will adapt to the data from a given problem by leveraging time delay coordinates, projections, and
Mohammad N. Murshed, M. Monir Uddin
doaj +1 more source
Dynamic mode decomposition of numerical data in natural circulation
Dynamic mode decomposition (DMD) has been used for experimental and numerical data analysis in fluid dynamics. Despite of its advantages, the application of the DMD methodology to investigate the natural circulation in nuclear reactors are very scarce in
José Luiz Horacio Faccini
doaj +1 more source
Identification of dynamic textures using Dynamic Mode Decomposition [PDF]
Dynamic Textures (DTs) are image sequences of moving scenes that present stationary properties in time. In this paper, we apply Dynamic Mode Decomposition (DMD) and Dynamic Mode Decomposition with Control (DMDc) to identify a parametric model of dynamic ...
Valceschini, Nicholas +7 more
core +1 more source
Applying Dynamic Mode Decomposition to Interconnected Systems for Forecasting and System Identification [PDF]
Dynamic Mode Decomposition (DMD) describes a family of dynamical systems analysis approaches that approximate complex, likely non-linear behaviors with a low-rank linear operator.
Bridges, Noah
core
Reaction-Driven Self-Organization of Nanocrystals by Kinetic Control of Inhomogeneous Photopolymerization. [PDF]
Patterned light reorganizes initially uniform CsPbBr3 perovskite quantum dots into well‐defined structures during photopolymerization. Using a digital micromirror device, we show that this reaction‐driven self‐organization is governed by a competition between chemical‐potential‐driven migration and kinetic arrest caused by rapid solidification ...
Uchida K +3 more
europepmc +2 more sources
VARIABLE DYNAMIC MODE DECOMPOSITION FOR ESTIMATING TIME EIGENVALUES IN NUCLEAR SYSTEMS
: We present a new approach to calculating time eigenvalues of the neutron transport operator (also known as α eigenvalues) by extending the dynamic mode decomposition (DMD) to allow for non-uniform time steps.
McClarren, Ryan +2 more
core +1 more source
Proper orthogonal and dynamic mode decomposition of sunspot data [PDF]
High-resolution solar observations show the complex structure of the magnetohydrodynamic (MHD) wave motion. We apply the techniques of proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) to identify the dominant MHD wave modes in a
Brevis, W +19 more
core +1 more source

