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Reduced order modeling lowers the computational cost of solving PDEs by learning a low-order spatial representation from data and dynamically evolving these representations using manifold projections of the governing equations. While…

Fluid Dynamics · Physics 2024-07-10 Vedant Puri , Aviral Prakash , Levent Burak Kara , Yongjie Jessica Zhang

Normalization and scaling are fundamental preprocessing steps in time series modeling, yet their role in Transformer-based models remains underexplored from a theoretical perspective. In this work, we present the first formal analysis of…

Machine Learning · Computer Science 2026-02-20 Sofiane Ennadir , Tianze Wang , Oleg Smirnov , Sahar Asadi , Lele Cao

This paper proposes the use of a Spectral method to simulate diffusive moisture transfer through porous materials as a Reduced-Order Model (ROM). The Spectral approach is an a priori method assuming a separated representation of the…

Computational Physics · Physics 2020-02-20 Suelen Gasparin , Julien Berger , Denys Dutykh , Nathan Mendes

Projection-based Reduced Order Models (ROMs) are often deployed as static surrogates, which limits their practical utility once a system leaves the training manifold. We formalize and study adaptive non-intrusive ROMs that update both the…

Machine Learning · Computer Science 2026-02-13 Amirpasha Hedayat , Alberto Padovan , Karthik Duraisamy

Robotic manipulation often requires memory: occlusion and state changes can make decision-time observations perceptually aliased, making action selection non-Markovian at the observation level because the same observation may arise from…

Robotics · Computer Science 2026-03-26 Xinying Guo , Chenxi Jiang , Hyun Bin Kim , Ying Sun , Yang Xiao , Yuhang Han , Jianfei Yang

The current study aims to evaluate and investigate the development of projection-based reduced-order models (ROMs) for efficient and accurate RDE simulations. Specifically, we focus on assessing the projection-based ROM construction…

Fluid Dynamics · Physics 2024-08-29 Ryan Camacho , Cheng Huang

To speed-up the solution to parametrized differential problems, reduced order models (ROMs) have been developed over the years, including projection-based ROMs such as the reduced-basis (RB) method, deep learning-based ROMs, as well as…

Numerical Analysis · Mathematics 2022-02-08 Ludovica Cicci , Stefania Fresca , Andrea Manzoni

To achieve autonomy in a priori unknown real-world scenarios, agents should be able to: i) act from high-dimensional sensory observations (e.g., images), ii) learn from past experience to adapt and improve, and iii) be capable of long…

Robotics · Computer Science 2022-12-12 Onur Beker , Mohammad Mohammadi , Amir Zamir

Interpreting the decision-making process of deep convolutional neural networks remains a central challenge in achieving trustworthy and transparent artificial intelligence. Explainable AI (XAI) techniques, particularly Class Activation Map…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Hajar Dekdegue , Moncef Garouani , Josiane Mothe , Jordan Bernigaud

Recent advances in generative AI have significantly enhanced the realism of multimodal media manipulation, thereby posing substantial challenges to manipulation detection. Existing manipulation detection and grounding approaches…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Yuchen Zhang , Yaxiong Wang , Kecheng Han , Yujiao Wu , Lianwei Wu , Li Zhu , Zhedong Zheng

Earth observation (EO) data spans a wide range of spatial, spectral, and temporal resolutions, from high-resolution optical imagery to low resolution multispectral products or radar time series. While recent foundation models have improved…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Nicolas Houdré , Diego Marcos , Hugo Riffaud de Turckheim , Dino Ienco , Laurent Wendling , Camille Kurtz , Sylvain Lobry

Reduced order modeling methods are often used as a mean to reduce simulation costs in industrial applications. Despite their computational advantages, reduced order models (ROMs) often fail to accurately reproduce complex dynamics…

Time-series classification is essential across diverse domains, including medical diagnosis, industrial monitoring, financial forecasting, and human activity recognition. The Rocket algorithm has emerged as a simple yet powerful method,…

Machine Learning · Statistics 2025-02-25 Jorge Marco-Blanco , Rubén Cuevas

The quadratic complexity of standard self-attention severely limits the application of Transformer-based models to long-context tasks. While efficient Transformer variants exist, they often require architectural changes and costly…

Computation and Language · Computer Science 2025-11-14 Jiangshu Du , Wenpeng Yin , Philip Yu

Nonintrusive projection-based reduced order models (ROMs) are essential for dynamics prediction in multi-query applications where access to the source of the underlying full order model (FOM) is unavailable; that is, FOM is a black-box.…

Computational Physics · Physics 2024-10-16 Aviral Prakash , Yongjie Jessica Zhang

Reduced-order models (ROMs) provide a powerful means of synthesizing dynamic walking gaits on legged robots. Yet this approach lacks the formal guarantees enjoyed by methods that utilize the full-order model (FOM) for gait synthesis, e.g.,…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Sergio A. Esteban , Max H. Cohen , Adrian B. Ghansah , Aaron D. Ames

Visual foundation models provide strong perceptual features for robotics, but their dense representations lack explicit object-level structure, limiting robustness and contractility in manipulation tasks. We propose STORM (Slot-based…

Robotics · Computer Science 2026-01-29 Alexandre Chapin , Emmanuel Dellandréa , Liming Chen

Machine learning and artificial intelligence algorithms typically require large amount of data for training. This means that for nonlinear aeroelastic applications, where small training budgets are driven by the high computational burden…

In this paper, we propose a novel reduced order model (ROM) lengthscale definition that is based on energy distribution arguments. This novel ROM lengthscale is fundamentally different from the current ROM lengthscales, which are generally…

Fluid Dynamics · Physics 2021-08-06 Changhong Mou , Elia Merzari , Omer San , Traian Iliescu

A non-intrusive reduced order model based on convolutional autoencoders (NIROM-CAEs) is proposed as a data-driven tool to build an efficient nonlinear reduced-order model for stochastic spatio-temporal large-scale physical problems. The…

Fluid Dynamics · Physics 2022-08-08 Azzedine Abdedou , Azzeddine Soulaïmani