paper-with-me

홈 › Papers

Generalized Multimodal Fusion via Poisson-Nernst-Planck Equation

2024-10-20 · Jiayu Xiong, Jing Wang, Hengjing Xiang, Jun Xue, Chen Xu, Zhouqiang Jiang

Previous studies have highlighted significant advancements in multimodal fusion. Nevertheless, such methods often encounter challenges regarding the efficacy of feature extraction, data integrity, consistency of feature dimensions, and adaptability across various downstream tasks. This paper proposes a generalized multimodal fusion method (GMF) via the Poisson-Nernst-Planck (PNP) equation, which adeptly addresses the aforementioned issues. Theoretically, the optimization objective for traditional multimodal tasks is formulated and redefined by integrating information entropy and the flow of gradient backward step. Leveraging these theoretical insights, the PNP equation is applied to feature fusion, rethinking multimodal features through the framework of charged particles in physics and controlling their movement through dissociation, concentration, and reconstruction. Building on these theoretical foundations, GMF disassociated features which extracted by the unimodal feature extractor into modality-specific and modality-invariant subspaces, thereby reducing mutual information and subsequently lowering the entropy of downstream tasks. The identifiability of the feature's origin enables our approach to function independently as a frontend, seamlessly integrated with a simple concatenation backend, or serve as a prerequisite for other modules. Experimental results on multiple downstream tasks show that the proposed GMF achieves performance close to the state-of-the-art (SOTA) accuracy while utilizing fewer parameters and computational resources. Furthermore, by integrating GMF with advanced fusion methods, we surpass the SOTA results.

📄 PDF Abstract BibTeX arXiv:2410.15475

Code (0)

등록된 구현이 없습니다.

Similar Papers 제목 키워드 기반

The model reduction of the Vlasov-Poisson-Fokker-Planck system to the Poisson-Nernst-Planck system via the Deep Neural Network Approach

2020-09-28 · Jae Yong Lee, Jin Woo Jang, Hyung Ju Hwang

The model reduction of a mesoscopic kinetic dynamics to a macroscopic continuum dynamics has been one of the fundamental questions in mathematical physics since Hilbert's time. In this paper, we consider a diagram of the…

Structure-Oriented Randomized Neural Networks for Poisson-Nernst-Planck and Poisson-Nernst-Planck-Navier-Stokes Systems

2026-06-18 · Yunlong Li, Fei Wang arxiv

We develop a structure-oriented randomized neural network framework, termed SO-RaNN, for the Poisson-Nernst-Planck (PNP) system and the Poisson-Nernst-Planck-Navier-Stokes (PNP-NS) system. The decoupled linearized subpro…

Enriched Physics-informed Neural Networks for Dynamic Poisson-Nernst-Planck Systems

2024-02-01 · Xujia Huang, Fajie Wang, Benrong Zhang, Hanqing Liu

This paper proposes a meshless deep learning algorithm, enriched physics-informed neural networks (EPINNs), to solve dynamic Poisson-Nernst-Planck (PNP) equations with strong coupling and nonlinear characteristics. The E…

GPU

A conservative hybrid physics-informed neural network method for Maxwell-Ampère-Nernst-Planck equations

2023-12-10 · Cheng Chang, Zhouping Xin, Tieyong Zeng

Maxwell-Amp\`{e}re-Nernst-Planck (MANP) equations were recently proposed to model the dynamics of charged particles. In this study, we enhance a numerical algorithm of this system with deep learning tools. The proposed h…

A Review of Mathematical Modeling, Simulation and Analysis of Membrane Channel Charge Transport

2016-09-29

The molecular mechanism of ion channel gating and substrate modulation is elusive for many voltage gated ion channels, such as eukaryotic sodium ones. The understanding of channel functions is a pressing issue in molecul…