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Generating high-dimensional visual modalities is a computationally intensive task. A common solution is progressive generation, where the outputs are synthesized in a coarse-to-fine spectral autoregressive manner. While diffusion models…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Moayed Haji-Ali , Willi Menapace , Ivan Skorokhodov , Arpit Sahni , Sergey Tulyakov , Vicente Ordonez , Aliaksandr Siarohin

In this paper, we propose a deep-learning-based approach to a class of multiscale problems. THe Generalized Multiscale Finite Element Method (GMsFEM) has been proven successful as a model reduction technique of flow problems in…

Numerical Analysis · Mathematics 2018-10-30 Min Wang , Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Wing Tat Leung , Yating Wang

Hydroelectric power generation is a critical component of the global energy matrix, particularly in countries like Brazil, where it represents the majority of the energy supply. However, its strong dependence on river discharges, which are…

Machine Learning · Computer Science 2024-12-19 Julio Alberto Silva Dias

Recent advances have introduced diffusion models for probabilistic streamflow forecasting, demonstrating strong early flood-warning skill. However, current implementations rely on recurrent Long Short-Term Memory (LSTM) backbones and…

Machine Learning · Computer Science 2025-12-16 Yihan Wang , Annan Yu , Lujun Zhang , Charuleka Varadharajan , N. Benjamin Erichson

Our current understanding of the structure and dynamics of aqueous interfaces at the molecular level has grown substantially in the last few decades due to the continuous development of surface-specific spectroscopies, such as vibrational…

Chemical Physics · Physics 2023-09-27 Yair Litman , Jinggang Lan , Yuki Nagata , David M. Wilkins

We propose a novel denoising diffusion generative model for predicting nonlinear fluid fields named FluidDiff. By performing a diffusion process, the model is able to learn a complex representation of the high-dimensional dynamic system,…

Machine Learning · Computer Science 2023-01-31 Gefan Yang , Stefan Sommer

Background: Floods are the most common natural disaster in the world, affecting the lives of hundreds of millions. Flood forecasting is therefore a vitally important endeavor, typically achieved using physical water flow simulations, which…

Machine Learning · Computer Science 2021-11-02 Niv Giladi , Zvika Ben-Haim , Sella Nevo , Yossi Matias , Daniel Soudry

We introduce Equilibrium Matching (EqM), a generative modeling framework built from an equilibrium dynamics perspective. EqM discards the non-equilibrium, time-conditional dynamics in traditional diffusion and flow-based generative models…

Machine Learning · Computer Science 2025-10-14 Runqian Wang , Yilun Du

This paper presents an advanced Federated Learning (FL) framework for forecasting complex spatiotemporal data, improving upon recent state-of-the-art models. In the proposed approach, the original Gated Recurrent Unit (GRU) module within…

Machine Learning · Computer Science 2025-10-02 Thien Pham , Angelo Furno , Faïcel Chamroukhi , Latifa Oukhellou

Advancing towards artificial superintelligence requires rich and intelligent perceptual capabilities. A critical frontier in this pursuit is overcoming the limited spatial understanding of Multimodal Large Language Models (MLLMs), where…

Computer Vision and Pattern Recognition · Computer Science 2026-03-12 Ruiheng Liu , Haihong Hao , Mingfei Han , Xin Gu , Kecheng Zhang , Changlin Li , Xiaojun Chang

Beam prediction is critical for reducing beam-training overhead in millimeter-wave (mmWave) systems, especially in high-mobility vehicular scenarios. This paper presents a BEV-Fusion based framework that unifies camera, LiDAR, radar, and…

Signal Processing · Electrical Eng. & Systems 2026-04-08 Jiaming Zeng , Cunhua Pan , Haoyang Weng , Ruijing Liu , Hong Ren , Jiangzhou Wang

Multiphase flow in porous media underpins subsurface energy and environmental technologies, including geological CO$_2$ storage and underground hydrogen storage, yet pore-scale dynamics in realistic three-dimensional materials remain…

Beamforming (BF) is essential for enhancing system capacity in fifth generation (5G) and beyond wireless networks, yet exhaustive beam training in ultra-massive multiple-input multiple-output (MIMO) systems incurs substantial overhead. To…

Signal Processing · Electrical Eng. & Systems 2026-02-11 Yanliang Jin , Yunfan Li , Jiang Jun , Yuan Gao , Shengli Liu , Jianbo Du , Zhaohui Yang , Shugong Xu

In this paper, we study the development of efficient multiscale methods for flows in heterogeneous media. Our approach uses the Generalized Multiscale Finite Element (GMsFEM) framework. The main idea of GMsFEM is to approximate the solution…

Numerical Analysis · Mathematics 2014-09-26 Victor M. Calo , Y. Efendiev , Juan Galvis , Guanglian Li

Modeling complex fluid systems, especially turbulence governed by partial differential equations (PDEs), remains a fundamental challenge in science and engineering. Recently, diffusion-based generative models have gained attention as a…

Machine Learning · Computer Science 2025-06-03 Haixin Wang , Jiashu Pan , Hao Wu , Fan Zhang , Tailin Wu

The current availability of soil moisture data over large areas comes from satellite remote sensing technologies (i.e., radar-based systems), but these data have coarse resolution and often exhibit large spatial information gaps. Where data…

Machine Learning · Computer Science 2019-05-22 Danny Rorabaugh , Mario Guevara , Ricardo Llamas , Joy Kitson , Rodrigo Vargas , Michela Taufer

The theory of slow invariant manifolds (SIMs) is the foundation of various model-order reduction techniques for dissipative dynamical systems with multiple time-scales, e.g. in chemical kinetic models. The construction of SIMs and many…

Dynamical Systems · Mathematics 2022-01-19 Johannes Poppe , Dirk Lebiedz

Spatio-temporal forecasting in various domains, like traffic prediction and weather forecasting, is a challenging endeavor, primarily due to the difficulties in modeling propagation dynamics and capturing high-dimensional interactions among…

Machine Learning · Computer Science 2024-05-29 Xiaobei Zou , Luolin Xiong , Yang Tang , Jürgen Kurths

Handling latent variables in Structural Equation Models (SEMs) in a case where both the latent variables and their corresponding indicators in the measurement error part of the model are random curves presents significant challenges,…

Methodology · Statistics 2024-12-30 Fatemeh Asgari , Valeria Vitelli , Uta Sailer

In this paper, we propose a deep learning based reduced order modeling method for stochastic underground flow problems in highly heterogeneous media. We aim to utilize supervised learning to build a reduced surrogate model from the…

Numerical Analysis · Mathematics 2022-07-27 Yiran Wang , Eric Chung , Shubin Fu
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