Nonlinear Model
Nonlinear models are mathematical representations of systems where the output is not directly proportional to the input, capturing complex relationships prevalent in numerous scientific domains. Current research emphasizes developing and improving nonlinear model architectures, including neural networks (e.g., autoencoders, GANs), Volterra series, and Koopman operator methods, often incorporating techniques like adaptive sampling and Bayesian inference to enhance efficiency and robustness. These advancements are crucial for addressing challenges in diverse fields such as structural health monitoring, control systems, and machine learning, enabling more accurate predictions and improved decision-making in complex systems.
107papers
Papers
April 29, 2025
April 11, 2025
March 5, 2025
Data-driven identification of nonlinear dynamical systems with LSTM autoencoders and Normalizing Flows
Abdolvahhab Rostamijavanani, Shanwu Li, Yongchao YangMichigan Technological UniversityDTU-Net: A Multi-Scale Dilated Transformer Network for Nonlinear Hyperspectral Unmixing
ChenTong Wang, Jincheng Gao, Fei Zhu, Abderrahim Halimi, C'edric RichardTianjin University●Heriot-Watt University●Université Côte d’Azur
February 21, 2025
February 18, 2025
Learning the Universe: Learning to Optimize Cosmic Initial Conditions with Non-Differentiable Structure Formation Models
Ludvig Doeser, Metin Ata, Jens JascheStockholm University●Kyoto UniversityMind the Gap: Aligning the Brain with Language Models Requires a Nonlinear and Multimodal Approach
Danny Dongyeop Han, Yunju Cho, Jiook Cha, Jay-Yoon LeeSeoul National University
February 3, 2025
January 21, 2025