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We present DeepFDM, a differentiable finite-difference framework for learning spatially varying coefficients in time-dependent partial differential equations (PDEs). By embedding a classical forward-Euler discretization into a convolutional…

Numerical Analysis · Mathematics 2025-07-30 Patrick Chatain , Michael Rizvi-Martel , Guillaume Rabusseau , Adam Oberman

The ability to extract generative parameters from high-dimensional fields of data in an unsupervised manner is a highly desirable yet unrealized goal in computational physics. This work explores the use of variational autoencoders (VAEs)…

Computational Physics · Physics 2021-11-16 Christian Jacobsen , Karthik Duraisamy

Terraced field is a significant engineering practice for soil and water conservation (SWC). Terraced field extraction from remotely sensed imagery is the foundation for monitoring and evaluating SWC. This study is the first to propose a…

Computer Vision and Pattern Recognition · Computer Science 2024-11-27 Chang Li , Yu Wang , Ce Zhang , Yongjun Zhang

Stack autoencoder (SAE), as a representative deep network, has unique and excellent performance in feature learning, and has received extensive attention from researchers. However, existing deep SAEs focus on original samples without…

Machine Learning · Computer Science 2022-10-28 Chuanyan Zhou , Jie Ma , Fan Li , Yongming Li , Pin Wang , Xiaoheng Zhang

Current state-of-the-art generative approaches frequently rely on a two-stage training procedure, where an autoencoder (often a VAE) first performs dimensionality reduction, followed by training a generative model on the learned latent…

Machine Learning · Statistics 2025-07-15 Gianluigi Silvestri , Luca Ambrogioni

Variational Auto-Encoder (VAE) has been widely applied as a fundamental generative model in machine learning. For complex samples like imagery objects or scenes, however, VAE suffers from the dimensional dilemma between reconstruction…

Machine Learning · Computer Science 2020-02-18 Deli Zhao , Jiapeng Zhu , Bo Zhang

The Variational Autoencoder (VAE) has proven to be an effective model for producing semantically meaningful latent representations for natural data. However, it has thus far seen limited application to sequential data, and, as we…

Machine Learning · Computer Science 2019-11-12 Adam Roberts , Jesse Engel , Colin Raffel , Curtis Hawthorne , Douglas Eck

Separating shared and independent features is crucial for multi-phase contrast-enhanced (CE) MRI synthesis. However, existing methods use deep autoencoder generators with low parameter efficiency and lack interpretable training strategies.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-06 Xiaoyan Kui , Qianmu Xiao , Qqinsong Li , Zexin Ji , JIelin Zhang , Beiji Zou

In recent years, extending variational autoencoder's framework to learn disentangled representations has received much attention. We address this problem by proposing a framework capable of disentangling class-related and class-independent…

Machine Learning · Computer Science 2021-02-02 Sina Hajimiri , Aryo Lotfi , Mahdieh Soleymani Baghshah

Automatic detection of low-magnitude earthquakes has become an increasingly important research topic in recent years due to a sharp increase in induced seismicity around the globe. The detection of low-magnitude seismic events is essential…

Geophysics · Physics 2021-03-16 Ahmed Shaheen , Umair bin Waheed , Michael Fehler , Lubos Sokol , Sherif Hanafy

Earthquake forecasting and prediction have long and in some cases sordid histories but recent work has rekindled interest based on advances in early warning, hazard assessment for induced seismicity and successful prediction of laboratory…

Geophysics · Physics 2022-10-13 Laura Laurenti , Elisa Tinti , Fabio Galasso , Luca Franco , Chris Marone

This study presents a deep learning-based approach to seismic velocity inversion problem, focusing on both noisy and noiseless training datasets of varying sizes. Our Seismic Velocity Inversion Network (SVInvNet) introduces a novel…

Machine Learning · Computer Science 2025-04-02 Mojtaba Najafi Khatounabad , Hacer Yalim Keles , Selma Kadioglu

Active faults release elastic strain energy via a whole continuum of modes of slip, ranging from devastating earthquakes to Slow Slip Events and persistent creep. Understanding the mechanisms controlling the occurrence of rapid, dynamic…

Geophysics · Physics 2017-10-02 Pierre Romanet , Harsha S. Bhat , Romain Jolivet , Raúl Madariaga

We introduce a deep learning approach for analyzing the scattering function of the polydisperse hard spheres system. We use a variational autoencoder-based neural network to learn the bidirectional mapping between the scattering function…

Soft Condensed Matter · Physics 2025-08-18 Lijie Ding , Changwoo Do

In the aftermath of disasters, many institutions worldwide face challenges in monitoring changes in disaster risk, limiting assessment of progress towards the UN Sendai Framework for Disaster Risk Reduction 2015-2030. While numerous efforts…

Machine Learning · Computer Science 2026-05-21 Joshua Dimasaka , Christian Geiß , Robert Muir-Wood , Emily So

Paradoxically, a Variational Autoencoder (VAE) could be pushed in two opposite directions, utilizing powerful decoder model for generating realistic images but collapsing the learned representation, or increasing regularization coefficient…

Machine Learning · Computer Science 2022-03-30 Trung Ngo , Najwa Laabid , Ville Hautamäki , Merja Heinäniemi

Earthquake science and seismology rely on the ability to associate seismic waves with their originating earthquakes. Earthquake detection algorithms based on deep learning have progressed rapidly and now routinely detect microearthquakes…

Geophysics · Physics 2024-12-13 Cheng Shi , Giulio Poggiali , Chris Marone , Maarten V. de Hoop , Ivan Dokmanić

Seafloor topography can excite strong interface waves called Scholte waves that are often dispersive and characterized by slow propagation but large amplitude. This type of wave can be used to invert for near seafloor shear wave velocity…

Geophysics · Physics 2013-06-20 Yingcai Zheng , Xinding Fang , Jing Liu , Michael C. Fehler

In micro-seismic event measurements, pinpointing the passive source's exact spatial and temporal location is paramount. This research advocates for the combined use of both P- and S-wave data, captured by geophone monitoring systems, to…

Geophysics · Physics 2023-10-20 Hanchen Wang , Qiang Guo , Tariq Alkhalifah

Seismicity catalogs are larger than ever due to an explosion of techniques for enhanced earthquake detection and an abundance of high-quality datasets. Bayesian inference is an appealing framework for locating earthquakes due to its ability…

Geophysics · Physics 2026-02-02 Zachary E. Ross , John D. Wilding , Kamyar Azizzadenesheli , Aitaro Kato