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Enforcing orthonormal or isometric property for the weight matrices has been shown to enhance the training of deep neural networks by mitigating gradient exploding/vanishing and increasing the robustness of the learned networks. However,…

机器学习 · 计算机科学 2024-03-01 Zhen Qin , Xuwei Tan , Zhihui Zhu

Neural network optimization remains one of the most consequential yet poorly understood challenges in modern AI research, where improvements in training algorithms can lead to enhanced feature learning in foundation models,…

机器学习 · 计算机科学 2025-12-23 Ansh Nagwekar

Orthogonality regularization has been developed to prevent deep CNNs from training instability and feature redundancy. Among existing proposals, kernel orthogonality regularization enforces orthogonality by minimizing the residual between…

计算机视觉与模式识别 · 计算机科学 2023-06-19 Changhao Wu , Shenan Zhang , Fangsong Long , Ziliang Yin , Tuo Leng

Conventional stochastic rounding (CSR) is widely employed in the training of neural networks (NNs), showing promising training results even in low-precision computations. We introduce an improved stochastic rounding method, that is simple…

机器学习 · 计算机科学 2021-03-26 Lu Xia , Martijn Anthonissen , Michiel Hochstenbach , Barry Koren

Process monitoring based on neural networks is getting more and more attention. Compared with classical neural networks, high-order neural networks have natural advantages in dealing with heteroscedastic data. However, high-order neural…

机器学习 · 计算机科学 2021-12-22 Peng Jingchao , Zhao Haitao , Hu Zhengwei

Despite their impressive performance in object recognition and other tasks under standard testing conditions, deep networks often fail to generalize to out-of-distribution (o.o.d.) samples. One cause for this shortcoming is that modern…

计算机视觉与模式识别 · 计算机科学 2021-10-22 Nikolay Dagaev , Brett D. Roads , Xiaoliang Luo , Daniel N. Barry , Kaustubh R. Patil , Bradley C. Love

Stochastic gradient descent (SGD) is a standard optimization method to minimize a training error with respect to network parameters in modern neural network learning. However, it typically suffers from proliferation of saddle points in the…

机器学习 · 计算机科学 2017-11-23 Haiping Huang , Taro Toyoizumi

Graph convolutional networks (GCNs) are powerful deep neural networks for graph-structured data. However, GCN computes the representation of a node recursively from its neighbors, making the receptive field size grow exponentially with the…

机器学习 · 统计学 2018-03-02 Jianfei Chen , Jun Zhu , Le Song

Message-passing neural networks (MPNNs) often suffer from an information bottleneck when capturing long-range dependencies, leading to the oversquashing (OSQ) phenomenon. Alongside spatial connectivity enrichment (e.g., rewiring), recent…

机器学习 · 计算机科学 2026-05-25 Dai Shi , Luke Thompson , Linhan Luo , Lequan Lin , Andi Han , Junbin Gao , José Miguel Hernández Lobato

Associative memories are structures that store data patterns and retrieve them given partial inputs. Sparse Clustered Networks (SCNs) are recently-introduced binary-weighted associative memories that significantly improve the storage and…

神经与进化计算 · 计算机科学 2016-11-18 Hooman Jarollahi , Naoya Onizawa , Takahiro Hanyu , Warren J. Gross

In a recently published paper [1], it is shown that deep neural networks (DNNs) with random Gaussian weights preserve the metric structure of the data, with the property that the distance shrinks more when the angle between the two data…

机器学习 · 统计学 2019-04-02 Talha Cihad Gulcu , Alper Gungor

Motivated by applications in optimization and machine learning, we consider stochastic quasi-Newton (SQN) methods for solving stochastic optimization problems. In the literature, the convergence analysis of these algorithms relies on strong…

最优化与控制 · 数学 2016-03-16 Farzad Yousefian , Angelia Nedić , Uday V. Shanbha

Representation learning over graph structure data has been widely studied due to its wide application prospects. However, previous methods mainly focus on static graphs while many real-world graphs evolve over time. Modeling such evolution…

机器学习 · 统计学 2020-09-02 Tijin Yan , Hongwei Zhang , Zirui Li , Yuanqing Xia

First-order methods such as stochastic gradient descent (SGD) are currently the standard algorithm for training deep neural networks. Second-order methods, despite their better convergence rate, are rarely used in practice due to the…

机器学习 · 计算机科学 2019-09-26 Tianle Cai , Ruiqi Gao , Jikai Hou , Siyu Chen , Dong Wang , Di He , Zhihua Zhang , Liwei Wang

Redundancy is a persistent challenge in Capsule Networks (CapsNet),leading to high computational costs and parameter counts. Although previous works have introduced pruning after the initial capsule layer, dynamic routing's fully connected…

计算机视觉与模式识别 · 计算机科学 2024-03-21 Xinyu Geng , Jiaming Wang , Jiawei Gong , Yuerong Xue , Jun Xu , Fanglin Chen , Xiaolin Huang

In this work, we investigate stochastic quasi-Newton methods for minimizing a finite sum of cost functions over a decentralized network. In Part I, we develop a general algorithmic framework that incorporates stochastic quasi-Newton…

最优化与控制 · 数学 2023-03-22 Jiaojiao Zhang , Huikang Liu , Anthony Man-Cho So , Qing Ling

Spiking Neural Networks (SNNs) have been proposed as biologically plausible and energy-efficient alternatives to conventional Artificial Neural Networks (ANNs). However, the training of SNN usually relies on surrogate gradients due to the…

神经与进化计算 · 计算机科学 2026-05-11 Himanshu Udupi , Xiaocong Yang , ChengXiang Zhai

We introduce a novel training principle for probabilistic models that is an alternative to maximum likelihood. The proposed Generative Stochastic Networks (GSN) framework is based on learning the transition operator of a Markov chain whose…

Convolutional neural networks often dominate fully-connected counterparts in generalization performance, especially on image classification tasks. This is often explained in terms of 'better inductive bias'. However, this has not been made…

机器学习 · 计算机科学 2021-05-05 Zhiyuan Li , Yi Zhang , Sanjeev Arora

Fine-tuning large language models (LLMs) for specialized domains often necessitates a trade-off between acquiring domain expertise and retaining general reasoning capabilities, a phenomenon known as catastrophic forgetting. Existing…

机器学习 · 计算机科学 2026-02-09 Xiyang Zhang , Yuanhe Tian , Hongzhi Wang , Yan Song