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This work develops the global equations of neural networks through stacked piecewise manifolds, fixed-point theory, and boundary-conditioned iteration. Once fixed coordinates and operators are removed, a neural network appears as a…

Machine Learning · Computer Science 2025-12-09 Max Y. Ma , Gen-Hua Shi

Training deep neural networks results in strong learned representations that show good generalization capabilities. In most cases, training involves iterative modification of all weights inside the network via back-propagation. In Extreme…

Machine Learning · Computer Science 2018-02-06 Amir Rosenfeld , John K. Tsotsos

Lifelong learning is challenging for deep neural networks due to their susceptibility to catastrophic forgetting. Catastrophic forgetting occurs when a trained network is not able to maintain its ability to accomplish previously learned…

Computer Vision and Pattern Recognition · Computer Science 2019-08-23 Mengyao Zhai , Lei Chen , Fred Tung , Jiawei He , Megha Nawhal , Greg Mori

Humans can learn a variety of concepts and skills incrementally over the course of their lives while exhibiting many desirable properties, such as continual learning without forgetting, forward transfer and backward transfer of knowledge,…

Artificial Intelligence · Computer Science 2021-05-04 Charles X. Ling , Tanner Bohn

The optimal design of neural networks is a critical problem in many applications. Here, we investigate how dynamical systems with polynomial nonlinearities can inform the design of neural systems that seek to emulate them. We propose a…

Machine Learning · Computer Science 2021-06-23 Margaret Trautner , Ziwei Li , Sai Ravela

Continual lifelong learning is essential to many applications. In this paper, we propose a simple but effective approach to continual deep learning. Our approach leverages the principles of deep model compression, critical weights…

Machine Learning · Computer Science 2019-10-31 Steven C. Y. Hung , Cheng-Hao Tu , Cheng-En Wu , Chien-Hung Chen , Yi-Ming Chan , Chu-Song Chen

Learning a set of tasks over time, also known as continual learning (CL), is one of the most challenging problems in artificial intelligence. While recent approaches achieve some degree of CL in deep neural networks, they either (1) grow…

Machine Learning · Computer Science 2019-07-15 Blake Camp , Jaya Krishna Mandivarapu , Rolando Estrada

When training neural networks for classification tasks with backpropagation, parameters are updated on every trial, even if the sample is classified correctly. In contrast, humans concentrate their learning effort on errors. Inspired by…

Neural and Evolutionary Computing · Computer Science 2023-03-29 Aaron Pache , Mark CW van Rossum

Continual learning can incrementally absorb new concepts without interfering with previously learned knowledge. Motivated by the characteristics of neural networks, in which information is stored in weights on connections, we investigated…

Machine Learning · Computer Science 2023-06-21 Depeng Li , Tianqi Wang , Bingrong Xu , Kenji Kawaguchi , Zhigang Zeng , Ponnuthurai Nagaratnam Suganthan

The intrinsic difficulty in adapting deep learning models to non-stationary environments limits the applicability of neural networks to real-world tasks. This issue is critical in practical supervised learning settings, such as the ones in…

Machine Learning · Computer Science 2023-06-09 Simone Marullo , Matteo Tiezzi , Marco Gori , Stefano Melacci , Tinne Tuytelaars

Plasticity, the ability of a neural network to quickly change its predictions in response to new information, is essential for the adaptability and robustness of deep reinforcement learning systems. Deep neural networks are known to lose…

Machine Learning · Computer Science 2023-11-28 Clare Lyle , Zeyu Zheng , Evgenii Nikishin , Bernardo Avila Pires , Razvan Pascanu , Will Dabney

Conventional intelligent systems based on deep neural network (DNN) models encounter challenges in achieving human-like continual learning due to catastrophic forgetting. Here, we propose a metaplasticity model inspired by human working…

Neural and Evolutionary Computing · Computer Science 2024-07-11 Suhee Cho , Hyeonsu Lee , Seungdae Baek , Se-Bum Paik

In the brain, learning signals change over time and synaptic location, and are applied based on the learning history at the synapse, in the complex process of neuromodulation. Learning in artificial neural networks, on the other hand, is…

Neural and Evolutionary Computing · Computer Science 2018-12-11 Dennis G Wilson , Sylvain Cussat-Blanc , Hervé Luga , Kyle Harrington

Continual learning is the ability to sequentially learn over time by accommodating knowledge while retaining previously learned experiences. Neural networks can learn multiple tasks when trained on them jointly, but cannot maintain…

Machine Learning · Computer Science 2018-10-26 Frantzeska Lavda , Jason Ramapuram , Magda Gregorova , Alexandros Kalousis

Deep neural networks give us a powerful method to model the training dataset's relationship between input and output. We can regard that as a complex adaptive system consisting of many artificial neurons that work as an adaptive memory as a…

Disordered Systems and Neural Networks · Physics 2024-05-08 Kenichi Nakazato

It has been observed that neural networks perform poorly when the data or tasks are presented sequentially. Unlike humans, neural networks suffer greatly from catastrophic forgetting, making it impossible to perform life-long learning. To…

Machine Learning · Computer Science 2023-01-31 Longhui Yu , Tianyang Hu , Lanqing Hong , Zhen Liu , Adrian Weller , Weiyang Liu

Lifelong learning is a long-standing aim for artificial agents that act in dynamic environments, in which an agent needs to accumulate knowledge incrementally without forgetting previously learned representations. We investigate methods for…

Machine Learning · Computer Science 2021-11-17 Vadym Gryshchuk , Cornelius Weber , Chu Kiong Loo , Stefan Wermter

Understanding the learning dynamics of neural networks is one of the key issues for the improvement of optimization algorithms as well as for the theoretical comprehension of why deep neural nets work so well today. In this paper, we…

Machine Learning · Statistics 2021-03-18 Zhenyu Liao , Romain Couillet

From childhood to youth, human gradually come to know the world. But for neural networks, this growing process seems difficult. Trapped in catastrophic forgetting, current researchers feed data of all categories to a neural network which…

Machine Learning · Computer Science 2020-04-28 Youcheng Huang , Tangchen Wei , Jundong Zhou , Chunxin Yang

Neural Networks sequentially build high-level features through their successive layers. We propose here a new neural network model where each layer is associated with a set of candidate mappings. When an input is processed, at each layer,…

Machine Learning · Computer Science 2014-10-03 Ludovic Denoyer , Patrick Gallinari