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A recent strategy to circumvent the exploding and vanishing gradient problem in RNNs, and to allow the stable propagation of signals over long time scales, is to constrain recurrent connectivity matrices to be orthogonal or unitary. This…

Brain-inspired spiking neural networks (SNNs) are recognized as a promising avenue for achieving efficient, low-energy neuromorphic computing. Recent advancements have focused on directly training high-performance SNNs by estimating the…

神经与进化计算 · 计算机科学 2025-05-20 Jiaqiang Jiang , Lei Wang , Runhao Jiang , Jing Fan , Rui Yan

We propose tensorial neural networks (TNNs), a generalization of existing neural networks by extending tensor operations on low order operands to those on high order ones. The problem of parameter learning is challenging, as it corresponds…

机器学习 · 统计学 2018-12-11 Jiahao Su , Jingling Li , Bobby Bhattacharjee , Furong Huang

Spiking neural networks (SNNs) offer both compelling potential advantages, including energy efficiency and low latencies and challenges including the non-differentiable nature of event spikes. Much of the initial research in this area has…

计算机视觉与模式识别 · 计算机科学 2022-02-11 Somayeh Hussaini , Michael Milford , Tobias Fischer

This paper proposes a Fast Graph Convolutional Neural Network (FGRNN) architecture to predict sequences with an underlying graph structure. The proposed architecture addresses the limitations of the standard recurrent neural network (RNN),…

信号处理 · 电气工程与系统科学 2020-01-28 Sai Kiran Kadambari , Sundeep Prabhakar Chepuri

Randomized neural network (RaNN) methods have been proposed for solving various partial differential equations (PDEs), demonstrating high accuracy and efficiency. However, initializing the fixed parameters remains challenging. Additionally,…

数值分析 · 数学 2025-11-25 Haoning Dang , Fei Wang , Song Jiang

While message passing neural networks (MPNNs) have convincing success in a range of applications, they exhibit limitations such as the oversquashing problem and their inability to capture long-range interactions. Augmenting MPNNs with a…

机器学习 · 计算机科学 2025-04-08 Joshua Southern , Francesco Di Giovanni , Michael Bronstein , Johannes F. Lutzeyer

Binary neural networks (BNNs) have received ever-increasing popularity for their great capability of reducing storage burden as well as quickening inference time. However, there is a severe performance drop compared with real-valued…

机器学习 · 计算机科学 2023-02-07 Sheng Xu , Yanjing Li , Teli Ma , Mingbao Lin , Hao Dong , Baochang Zhang , Peng Gao , Jinhu Lv

Real-world time series data exhibit non-stationary behavior, regime shifts, and temporally varying noise (heteroscedastic) that degrade the robustness of standard regression models. We introduce the Variability-Aware Recursive Neural…

机器学习 · 计算机科学 2025-10-13 Haroon Gharwi , Kai Shu

Variance reduction (VR) methods employ stochastic gradients with decreasing variance, and they have been widely applied to solve large-scale optimization problems in machine learning because of their efficiency. Existing theoretical studies…

机器学习 · 计算机科学 2026-05-28 Yunwen Lei , Zimeng Wang , Xiaoming Yuan

It is well known that it is challenging to train deep neural networks and recurrent neural networks for tasks that exhibit long term dependencies. The vanishing or exploding gradient problem is a well known issue associated with these…

机器学习 · 计算机科学 2017-10-13 Eugene Vorontsov , Chiheb Trabelsi , Samuel Kadoury , Chris Pal

Recurrent Neural Networks (RNNs) are widely recognized for their proficiency in modeling temporal dependencies, making them highly prevalent in sequential data processing applications. Nevertheless, vanilla RNNs are confronted with the…

神经与进化计算 · 计算机科学 2024-11-12 Pengfei Sun , Jibin Wu , Malu Zhang , Paul Devos , Dick Botteldooren

The surge in interest in Artificial Intelligence (AI) over the past decade has been driven almost exclusively by advances in Artificial Neural Networks (ANNs). While ANNs set state-of-the-art performance for many previously intractable…

神经与进化计算 · 计算机科学 2022-09-02 Peter G. Stratton , Andrew Wabnitz , Chip Essam , Allen Cheung , Tara J. Hamilton

Convolutional neural network (CNN) is widely used in computer vision applications. In the networks that deal with images, CNNs are the most time-consuming layer of the networks. Usually, the solution to address the computation cost is to…

计算机视觉与模式识别 · 计算机科学 2019-11-26 Meisam Rakhshanfar

Recurrent neural networks have gained widespread use in modeling sequential data. Learning long-term dependencies using these models remains difficult though, due to exploding or vanishing gradients. In this paper, we draw connections…

机器学习 · 统计学 2019-02-27 Bo Chang , Minmin Chen , Eldad Haber , Ed H. Chi

This study explores the learning dynamics of neural networks by analyzing the singular value decomposition (SVD) of their weights throughout training. Our investigation reveals that an orthogonal basis within each multidimensional weight's…

Graph Neural Networks (GNNs) excel at modeling relational data but face significant challenges in high-stakes domains due to unquantified uncertainty. Conformal prediction (CP) offers statistical coverage guarantees, but existing methods…

机器学习 · 计算机科学 2025-06-10 Zheng Zhang , Jie Bao , Zhixin Zhou , Nicolo Colombo , Lixin Cheng , Rui Luo

Stochastic optimization plays a crucial role in the advancement of deep learning technologies. Over the decades, significant effort has been dedicated to improving the training efficiency and robustness of deep neural networks, via various…

机器学习 · 计算机科学 2024-08-21 Huixiu Jiang , Ling Yang , Yu Bao , Rutong Si , Sikun Yang

Convolutional Neural Networks (CNNs) have achieved state-of-the-art performance in many computer vision tasks over the years. However, this comes at the cost of heavy computation and memory intensive network designs, suggesting potential…

计算机视觉与模式识别 · 计算机科学 2020-08-11 Kumara Kahatapitiya , Ranga Rodrigo

Enforcing orthogonality in neural networks is an antidote for gradient vanishing/exploding problems, sensitivity by adversarial perturbation, and bounding generalization errors. However, many previous approaches are heuristic, and the…

机器学习 · 计算机科学 2021-06-18 Jiahao Su , Wonmin Byeon , Furong Huang