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An adaptive wavelet-based PINN for problems with localized high-magnitude source

Researchers have developed an adaptive wavelet-based physics-informed neural network (AW-PINN) to address limitations in solving differential equations, particularly those with localized high-magnitude source terms. This new framework dynamically adjusts wavelet basis functions to manage extreme loss imbalances and avoid spectral bias inherent in standard neural networks. The AW-PINN method accelerates training by not relying on automatic differentiation and has demonstrated superior performance on various challenging partial differential equations compared to existing approaches. AI

IMPACT Introduces a novel neural network architecture for improved differential equation solving, potentially impacting scientific simulation and modeling.

RANK_REASON Academic paper detailing a new method for solving differential equations using neural networks.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

An adaptive wavelet-based PINN for problems with localized high-magnitude source

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Academic paper detailing a new method for solving differential equations using neural networks.
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COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Himanshu Pandey, Ratikanta Behera ·

    An adaptive wavelet-based PINN for problems with localized high-magnitude source

    arXiv:2604.28180v1 Announce Type: new Abstract: In recent years, physics-informed neural networks (PINNs) have gained significant attention for solving differential equations, although they suffer from two fundamental limitations, namely, spectral bias inherent in neural networks…

  2. arXiv cs.LG TIER_1 English(EN) · Ratikanta Behera ·

    An adaptive wavelet-based PINN for problems with localized high-magnitude source

    In recent years, physics-informed neural networks (PINNs) have gained significant attention for solving differential equations, although they suffer from two fundamental limitations, namely, spectral bias inherent in neural networks and loss imbalance arising from multiscale phen…