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Despite significant advances in the field of deep learning in ap-plications to various areas, an explanation of the learning pro-cess of neural network models remains an important open ques-tion. The purpose of this paper is a comprehensive…

机器学习 · 计算机科学 2023-06-07 German Magai

Advancements in artificial intelligence call for a deeper understanding of the fundamental mechanisms underlying deep learning. In this work, we propose a theoretical framework to analyze learning dynamics through the lens of dynamical…

机器学习 · 计算机科学 2025-10-13 Yuchen Lin , Yong Zhang , Sihan Feng , Hong Zhao

Graph Neural Networks (GNNs) have become the standard approach for learning and reasoning over relational data, leveraging the message-passing mechanism that iteratively propagates node embeddings through graph structures. While GNNs have…

机器学习 · 计算机科学 2025-01-14 Xiaoyu Li , Yingyu Liang , Zhenmei Shi , Zhao Song , Wei Wang , Jiahao Zhang

State-of-the-art Graph Neural Networks (GNNs) have limited scalability with respect to the graph and model sizes. On large graphs, increasing the model depth often means exponential expansion of the scope (i.e., receptive field). Beyond…

Complex systems can be effectively modeled via graphs that encode networked interactions, where relations between entities or nodes are often quantified by signed edge weights, e.g., promotion/inhibition in gene regulatory networks, or…

最优化与控制 · 数学 2024-04-05 Anqi Dong , Can Chen , Tryphon T. Georgiou

We propose a reconfigurable hardware architecture for deep neural networks (DNNs) capable of online training and inference, which uses algorithmically pre-determined, structured sparsity to significantly lower memory and computational…

神经与进化计算 · 计算机科学 2017-11-07 Sourya Dey , Yinan Shao , Keith M. Chugg , Peter A. Beerel

Our theoretical understanding of deep learning has not kept pace with its empirical success. While network architecture is known to be critical, we do not yet understand its effect on learned representations and network behavior, or how…

机器学习 · 计算机科学 2022-07-22 Andrew M. Saxe , Shagun Sodhani , Sam Lewallen

There is a growing necessity for edge training to adapt to dynamically changing environment. Neuromorphic computing represents a significant pathway for high-efficiency intelligent computation in energy-constrained edges, but existing…

Recent developments in network neuroscience have highlighted the importance of developing techniques for analyzing and modeling brain networks. A particularly powerful approach for studying complex neural systems is to formulate generative…

神经元与认知 · 定量生物学 2022-09-09 Viplove Arora , Enrico Amico , Joaquín Goñi , Mario Ventresca

Graph neural networks (GNNs) have emerged as a fundamental tool for learning from graph-structured data, achieving strong performance across a wide range of applications. However, understanding their generalization capabilities remains…

机器学习 · 计算机科学 2026-05-14 Peiyao Wang , Liang Bai , Xian Yang , Richard Yi Da Xu , Jiye Liang

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…

机器学习 · 计算机科学 2023-11-28 Clare Lyle , Zeyu Zheng , Evgenii Nikishin , Bernardo Avila Pires , Razvan Pascanu , Will Dabney

Graph Neural Networks (GNNs) have achieved remarkable success across diverse applications, yet they remain limited by oversmoothing and poor performance on heterophilic graphs. To address these challenges, we introduce a novel framework…

机器学习 · 计算机科学 2025-11-19 Cristina López Amado , Tassilo Schwarz , Yu Tian , Renaud Lambiotte

This paper presents a new look at the neural network (NN) robustness problem, from the point of view of graph theory analysis, specifically graph curvature. Graph curvature (e.g., Ricci curvature) has been used to analyze system dynamics…

机器学习 · 计算机科学 2024-12-17 Shuhang Tan , Jayson Sia , Paul Bogdan , Radoslav Ivanov

There is currently a debate within the neuroscience community over the likelihood of the brain performing backpropagation (BP). To better mimic the brain, training a network $\textit{one layer at a time}$ with only a "single forward pass"…

机器学习 · 统计学 2022-02-10 Chieh Wu , Aria Masoomi , Arthur Gretton , Jennifer Dy

In this paper, we explore a novel model reusing task tailored for graph neural networks (GNNs), termed as "deep graph reprogramming". We strive to reprogram a pre-trained GNN, without amending raw node features nor model parameters, to…

计算机视觉与模式识别 · 计算机科学 2023-05-01 Yongcheng Jing , Chongbin Yuan , Li Ju , Yiding Yang , Xinchao Wang , Dacheng Tao

Deep convolutional neural networks (CNNs) achieve remarkable performance on image classification tasks. Recent studies, however, have demonstrated that generalization abilities are more important than the depth of neural networks for…

计算机视觉与模式识别 · 计算机科学 2017-10-04 Atsushi Takeda

Deep learning has received much attention lately due to the impressive empirical performance achieved by training algorithms. Consequently, a need for a better theoretical understanding of these problems has become more evident in recent…

机器学习 · 计算机科学 2022-03-03 Daniel Bienstock , Gonzalo Muñoz , Sebastian Pokutta

Controlling the flow and routing of data is a fundamental problem in many distributed networks, including transportation systems, integrated circuits, and the Internet. In the brain, synaptic plasticity rules have been discovered that…

神经与进化计算 · 计算机科学 2017-04-18 Jonathan Y. Suen , Saket Navlakha

In this paper, we introduce a novel analysis of neural networks based on geometric (Clifford) algebra and convex optimization. We show that optimal weights of deep ReLU neural networks are given by the wedge product of training samples when…

机器学习 · 计算机科学 2024-03-25 Mert Pilanci

Modeling the behavior of coupled networks is challenging due to their intricate dynamics. For example in neuroscience, it is of critical importance to understand the relationship between the functional neural processes and anatomical…

机器学习 · 计算机科学 2021-04-20 Hongyuan You , Sikun Lin , Ambuj K. Singh