activity
20222024
most citedBlending Neural Operators and Relaxation Methods in PDE Numerical Solvers

9 citations · 34 across the 15 of their papers we have counts for

collaborators

16 papers

cs.LG2024★ 1 cited

Fast meta-solvers for 3D complex-shape scatterers using neural operators trained on a non-scattering problem

Youngkyu Lee, Shanqing Liu, Zongren Zou +5

Three-dimensional target identification using scattering techniques requires high accuracy solutions and very fast computations for real-time predictions in some critical applicati…

cs.CL2024

Evaluation Methodology for Large Language Models for Multilingual Document Question and Answer

Adar Kahana, Jaya Susan Mathew, Said Bleik +2

With the widespread adoption of Large Language Models (LLMs), in this paper we investigate the multilingual capability of these models. Our preliminary results show that, translati…

math.NA2023★ 2 cited

Analysis of biologically plausible neuron models for regression with spiking neural networks

Mario De Florio, Adar Kahana, George Em Karniadakis

This paper explores the impact of biologically plausible neuron models on the performance of Spiking Neural Networks (SNNs) for regression tasks. While SNNs are widely recognized f…

eess.SP2023

Rethinking Skip Connections in Spiking Neural Networks with Time-To-First-Spike Coding

Youngeun Kim, Adar Kahana, Ruokai Yin +4

Time-To-First-Spike (TTFS) coding in Spiking Neural Networks (SNNs) offers significant advantages in terms of energy efficiency, closely mimicking the behavior of biological neuron…

cs.NE2023★ 4 cited

Artificial to Spiking Neural Networks Conversion for Scientific Machine Learning

Qian Zhang, Chenxi Wu, Adar Kahana +4

We introduce a method to convert Physics-Informed Neural Networks (PINNs), commonly used in scientific machine learning, to Spiking Neural Networks (SNNs), which are expected to ha…

cs.LG2023★ 5 cited

MyCrunchGPT: A chatGPT assisted framework for scientific machine learning

Varun Kumar, Leonard Gleyzer, Adar Kahana +2

Scientific Machine Learning (SciML) has advanced recently across many different areas in computational science and engineering. The objective is to integrate data and physics seaml…

physics.flu-dyn2023

Understanding the Efficacy of U-Net & Vision Transformer for Groundwater Numerical Modelling

Maria Luisa Taccari, Oded Ovadia, He Wang +3

This paper presents a comprehensive comparison of various machine learning models, namely U-Net, U-Net integrated with Vision Transformers (ViT), and Fourier Neural Operator (FNO),…

cs.LG2023★ 9 cited

Real-time Inference and Extrapolation via a Diffusion-inspired Temporal Transformer Operator (DiTTO)

Oded Ovadia, Vivek Oommen, Adar Kahana +3

Extrapolation remains a grand challenge in deep neural networks across all application domains. We propose an operator learning method to solve time-dependent partial differential…

cs.CV2023★ 1 cited

ViTO: Vision Transformer-Operator

Oded Ovadia, Adar Kahana, Panos Stinis +2

We combine vision transformers with operator learning to solve diverse inverse problems described by partial differential equations (PDEs). Our approach, named ViTO, combines a U-N…

cs.LG2023

MessageNet: Message Classification using Natural Language Processing and Meta-data

Adar Kahana, Oren Elisha

In this paper we propose a new Deep Learning (DL) approach for message classification. Our method is based on the state-of-the-art Natural Language Processing (NLP) building blocks…

math.NA2022★ 3 cited

SMS: Spiking Marching Scheme for Efficient Long Time Integration of Differential Equations

Qian Zhang, Adar Kahana, George Em Karniadakis +1

We propose a Spiking Neural Network (SNN)-based explicit numerical scheme for long time integration of time-dependent Ordinary and Partial Differential Equations (ODEs, PDEs). The…

math.NA2022

On the Geometry Transferability of the Hybrid Iterative Numerical Solver for Differential Equations

Adar Kahana, Enrui Zhang, Somdatta Goswami +3

The discovery of fast numerical solvers prompted a clear and rapid shift towards iterative techniques in many applications, especially in computational mechanics, due to the increa…

cs.LG2022

A physically-informed Deep-Learning approach for locating sources in a waveguide

Adar Kahana, Symeon Papadimitropoulos, Eli Turkel +1

Inverse source problems are central to many applications in acoustics, geophysics, non-destructive testing, and more. Traditional imaging methods suffer from the resolution limit,…

math.NA2022★ 9 cited

Blending Neural Operators and Relaxation Methods in PDE Numerical Solvers

Enrui Zhang, Adar Kahana, Alena Kopaničáková +4

Neural networks suffer from spectral bias having difficulty in representing the high frequency components of a function while relaxation methods can resolve high frequencies effici…

math.NA2022

A Convolutional Dispersion Relation Preserving Scheme for the Acoustic Wave Equation

Oded Ovadia, Adar Kahana, Eli Turkel

We propose an accurate numerical scheme for approximating the solution of the two dimensional acoustic wave problem. We use machine learning to find a stencil suitable even in the…

cs.NE2022

Spiking Neural Operators for Scientific Machine Learning

Adar Kahana, Qian Zhang, Leonard Gleyzer +1

The main computational task of Scientific Machine Learning (SciML) is function regression, required both for inputs as well as outputs of a simulation. Physics-Informed Neural Netw…