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20162026
most citedReduced-order modeling of advection-dominated systems with recurrent neural networks and convolutional autoencoders

303 citations · 2.2k across the 86 of their papers we have counts for

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28 papers · 1 filter

cs.LG2026

Generative Atmospheric Super-Resolution from Heterogeneous In Situ Observations through Composable Interfaces

Yang Xu, Dibyajyoti Chakraborty, Haiwen Guan +2

Atmospheric observations are sparse, heterogeneous, and unevenly distributed, whereas many generative atmospheric models learn distributions over regularly gridded multivariate sta…

cs.LG2026

Multimodal Spatiotemporal Atmospheric Data Assimilation with Latent Video Flow-matching

Dibyajyoti Chakraborty, Romit Maulik

Data assimilation (DA) uses Bayesian inference to update the state of a numerical forecast model with observed data. In this study, we propose a fundamentally different, unified ap…

cs.LG2026

Scale-Aware Learning of Chaotic Dynamics on Unstructured Meshes via Binned Spectral Losses

Kanad Sen, Romit Maulik

Surrogate modeling for high-dimensional nonlinear dynamical systems that exhibit chaos requires mechanisms that preserve not only pointwise accuracy but also the scale-dependent st…

cs.LG2026

Adaptive Diffusion Posterior Sampling for Data and Model Fusion of Complex Nonlinear Dynamical Systems

Dibyajyoti Chakraborty, Hojin Kim, Romit Maulik

High-fidelity numerical simulations of chaotic, high dimensional nonlinear dynamical systems are computationally expensive, necessitating the development of efficient surrogate mod…

cs.LG2026

High-Resolution Climate Projections Using Diffusion-Based Downscaling of a Lightweight Climate Emulator

Haiwen Guan, Dibyajyoti Chakraborty, Moein Darman +3

The proliferation of data-driven models in weather and climate sciences has marked a significant paradigm shift, with advanced models demonstrating exceptional skill in medium-rang…

cs.LG2026

SC3D: Dynamic and Differentiable Causal Discovery for Temporal and Instantaneous Graphs

Sourajit Das, Dibyajyoti Chakraborty, Romit Maulik

Discovering causal structures from multivariate time series is a key problem because interactions span across multiple lags and possibly involve instantaneous dependencies. Additio…

cs.LG2025

A Weak Penalty Neural ODE for Learning Chaotic Dynamics from Noisy Time Series

Xuyang Li, John Harlim, Dibyajyoti Chakraborty +1

The accurate forecasting of complex, high-dimensional dynamical systems from observational data is a fundamental task across numerous scientific and engineering disciplines. A sign…

cs.LG2025

Interpretable Diagnostics and Adaptive Data Assimilation for Neural ODEs via Discrete Empirical Interpolation

Hojin Kim, Romit Maulik

We present a framework that leverages the Discrete Empirical Interpolation Method (DEIM) for interpretable deep learning and dynamical system analysis. Although DEIM efficiently ap…

cs.LG2025

MoWE : A Mixture of Weather Experts

Dibyajyoti Chakraborty, Romit Maulik, Peter Harrington +3

Data-driven weather models have recently achieved state-of-the-art performance, yet progress has plateaued in recent years. This paper introduces a Mixture of Experts (MoWE) approa…

cs.LG2025

Localized PCA-Net Neural Operators for Scalable Solution Reconstruction of Elliptic PDEs

Mrigank Dhingra, Romit Maulik, Adil Rasheed +1

Neural operator learning has emerged as a powerful approach for solving partial differential equations (PDEs) in a data-driven manner. However, applying principal component analysi…

cs.LG2025★ 1 cited

LUCIE-3D: A three-dimensional climate emulator for forced responses

Haiwen Guan, Troy Arcomano, Ashesh Chattopadhyay +1

We introduce LUCIE-3D, a lightweight three-dimensional climate emulator designed to capture the vertical structure of the atmosphere, respond to climate change forcings, and mainta…

cs.LG2025

FIGNN: Feature-Specific Interpretability for Graph Neural Network Surrogate Models

Riddhiman Raut, Romit Maulik, Shivam Barwey

This work presents a novel graph neural network (GNN) architecture, the Feature-specific Interpretable Graph Neural Network (FIGNN), designed to enhance the interpretability of dee…

cs.LG2025★ 3 cited

Multimodal Atmospheric Super-Resolution With Deep Generative Models

Dibyajyoti Chakraborty, Haiwen Guan, Jason Stock +3

Score-based diffusion modeling is a generative machine learning algorithm that can be used to sample from complex distributions. They achieve this by learning a score function, i.e…

cs.LG2025

SALSA-RL: Stability Analysis in the Latent Space of Actions for Reinforcement Learning

Xuyang Li, Romit Maulik

Modern deep reinforcement learning (DRL) methods have made significant advances in handling continuous action spaces. However, real-world control systems, especially those requirin…

cs.LG2025

Binned Spectral Power Loss for Improved Prediction of Chaotic Systems

Dibyajyoti Chakraborty, Arvind T. Mohan, Romit Maulik

Forecasting multiscale chaotic dynamical systems, such as turbulent flows, with deep learning remains a formidable challenge due to the spectral bias of neural networks, which hind…

cs.LG2024

Semi-Implicit Neural Ordinary Differential Equations

Hong Zhang, Ying Liu, Romit Maulik

Classical neural ODEs trained with explicit methods are intrinsically limited by stability, crippling their efficiency and robustness for stiff learning problems that are common in…

cs.LG2024

Improved deep learning of chaotic dynamical systems with multistep penalty losses

Dibyajyoti Chakraborty, Seung Whan Chung, Ashesh Chattopadhyay +1

Predicting the long-term behavior of chaotic systems remains a formidable challenge due to their extreme sensitivity to initial conditions and the inherent limitations of tradition…

cs.LG2024

Higher order quantum reservoir computing for non-intrusive reduced-order models

Vinamr Jain, Romit Maulik

Forecasting dynamical systems is of importance to numerous real-world applications. When possible, dynamical systems forecasts are constructed based on first-principles-based model…

cs.LG2024★ 4 cited

LUCIE: A Lightweight Uncoupled ClImate Emulator with long-term stability and physical consistency for O(1000)-member ensembles

Haiwen Guan, Troy Arcomano, Ashesh Chattopadhyay +1

We present a lightweight, easy-to-train, low-resolution, fully data-driven climate emulator, LUCIE, that can be trained on as low as years of -hourly ERA5 data. Unlike most…

cs.LG2024★ 4 cited

Leveraging Interpolation Models and Error Bounds for Verifiable Scientific Machine Learning

Tyler Chang, Andrew Gillette, Romit Maulik

Effective verification and validation techniques for modern scientific machine learning workflows are challenging to devise. Statistical methods are abundant and easily deployed, b…

cs.LG2023

Interpretable A-posteriori Error Indication for Graph Neural Network Surrogate Models

Shivam Barwey, Hojin Kim, Romit Maulik

Data-driven surrogate modeling has surged in capability in recent years with the emergence of graph neural networks (GNNs), which can operate directly on mesh-based representations…

cs.LG2023★ 1 cited

Quantifying uncertainty for deep learning based forecasting and flow-reconstruction using neural architecture search ensembles

Romit Maulik, Romain Egele, Krishnan Raghavan +1

Classical problems in computational physics such as data-driven forecasting and signal reconstruction from sparse sensors have recently seen an explosion in deep neural network (DN…

cs.LG2023★ 2 cited

Multiscale Graph Neural Network Autoencoders for Interpretable Scientific Machine Learning

Shivam Barwey, Varun Shankar, Venkatasubramanian Viswanathan +1

The goal of this work is to address two limitations in autoencoder-based models: latent space interpretability and compatibility with unstructured meshes. This is accomplished here…

cs.LG2022★ 82 cited

Stabilized Neural Ordinary Differential Equations for Long-Time Forecasting of Dynamical Systems

Alec J. Linot, Joshua W. Burby, Qi Tang +3

In data-driven modeling of spatiotemporal phenomena careful consideration often needs to be made in capturing the dynamics of the high wavenumbers. This problem becomes especially…