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This paper establishes an approximation theorem for randomized neural networks (RaNNs) whose hidden-layer parameters are uniformly sampled from a prescribed bounded domain. Our analysis shows that, for RaNNs of the form $\mathop{\sum}_i W_i…

数值分析 · 数学 2026-04-13 Ran Bi , Weibing Deng

Hypergraphs serve as an effective model for depicting complex connections in various real-world scenarios, from social to biological networks. The development of Hypergraph Neural Networks (HGNNs) has emerged as a valuable method to manage…

We consider applications of neural networks in nonlinear system identification and formulate a hypothesis that adjusting general network structure by incorporating frequency information or other known orthogonal transform, should result in…

机器学习 · 计算机科学 2025-01-24 Krzysztof Zając , Wojciech Sopot , Paweł Wachel

Transformers achieve remarkable performance in several tasks but due to their quadratic complexity, with respect to the input's length, they are prohibitively slow for very long sequences. To address this limitation, we express the…

机器学习 · 计算机科学 2020-09-01 Angelos Katharopoulos , Apoorv Vyas , Nikolaos Pappas , François Fleuret

We propose a method for efficiently incorporating constraints into a stochastic gradient Langevin framework for the training of deep neural networks. Constraints allow direct control of the parameter space of the model. Appropriately…

机器学习 · 计算机科学 2021-06-22 Benedict Leimkuhler , Timothée Pouchon , Tiffany Vlaar , Amos Storkey

Active learning optimizes the exploration of large parameter spaces by strategically selecting which experiments or simulations to conduct, thus reducing resource consumption and potentially accelerating scientific discovery. A key…

机器学习 · 计算机科学 2024-05-20 Maxim Ziatdinov

With the introduction of the transformer architecture in computer vision, increasing model scale has been demonstrated as a clear path to achieving performance and robustness gains. However, with model parameter counts reaching the…

计算机视觉与模式识别 · 计算机科学 2024-09-04 Jochem Loedeman , Maarten C. Stol , Tengda Han , Yuki M. Asano

Continual learning methods based on pre-trained models (PTM) have recently gained attention which adapt to successive downstream tasks without catastrophic forgetting. These methods typically refrain from updating the pre-trained parameters…

机器学习 · 计算机科学 2026-05-22 Kun-Peng Ning , Hai-Jian Ke , Yu-Yang Liu , Jia-Yu Yao , Yong-Hong Tian , Li Yuan

Accurately modeling quantum dissipative dynamics remains challenging due to environmental complexity and non-Markovian memory effects. Although machine learning provides a promising alternative to conventional simulation techniques, most…

化学物理 · 物理学 2026-03-18 Muhammad Atif , Arif Ullah , Ming Yang

Graph Neural Networks have recently become a prevailing paradigm for various high-impact graph analytical problems. Existing efforts can be mainly categorized as spectral-based and spatial-based methods. The major challenge for the former…

机器学习 · 计算机科学 2022-02-22 Yushun Dong , Kaize Ding , Brian Jalaian , Shuiwang Ji , Jundong Li

Deep neural networks are a promising approach towards multi-task learning because of their capability to leverage knowledge across domains and learn general purpose representations. Nevertheless, they can fail to live up to these promises…

机器学习 · 计算机科学 2019-12-17 Mihai Suteu , Yike Guo

Parameter-efficient tunings (PETs) have demonstrated impressive performance and promising perspectives in training large models, while they are still confronted with a common problem: the trade-off between learning new content and…

机器学习 · 计算机科学 2024-07-18 Jingyang Qiao , Zhizhong Zhang , Xin Tan , Yanyun Qu , Wensheng Zhang , Zhi Han , Yuan Xie

Adaptive nuclear-norm penalization is proposed for low-rank matrix approximation, by which we develop a new reduced-rank estimation method for the general high-dimensional multivariate regression problems. The adaptive nuclear norm of a…

统计方法学 · 统计学 2012-09-25 Kun Chen , Hongbo Dong , Kung-Sik Chan

Over-parameterization and adaptive methods have played a crucial role in the success of deep learning in the last decade. The widespread use of over-parameterization has forced us to rethink generalization by bringing forth new phenomena,…

机器学习 · 统计学 2020-12-01 Vatsal Shah , Soumya Basu , Anastasios Kyrillidis , Sujay Sanghavi

Multi-bit spiking neural networks (SNNs) have recently become a heated research spot, pursuing energy-efficient and high-accurate AI. However, with more bits involved, the associated memory and computation demands escalate to the point…

神经与进化计算 · 计算机科学 2025-12-02 Xingting Yao , Qinghao Hu , Fei Zhou , Tielong Liu , Gang Li , Peisong Wang , Jian Cheng

This paper seeks to answer the question: as the (near-) orthogonality of weights is found to be a favorable property for training deep convolutional neural networks, how can we enforce it in more effective and easy-to-use ways? We develop…

机器学习 · 计算机科学 2018-10-23 Nitin Bansal , Xiaohan Chen , Zhangyang Wang

The training of deep neural networks is inherently a nonconvex optimization problem, yet standard approaches such as stochastic gradient descent (SGD) require simultaneous updates to all parameters, often leading to unstable convergence and…

机器学习 · 计算机科学 2025-08-07 Chengcheng Yan , Jiawei Xu , Zheng Peng , Qingsong Wang

Graph Neural Networks (GNNs) with equivariant properties have achieved significant success in modeling complex dynamic systems and molecular properties. However, their expressiveness ability is limited by: (1) Existing methods often…

机器学习 · 计算机科学 2025-11-04 Yingxu Wang , Nan Yin , Mingyan Xiao , Xinhao Yi , Siwei Liu , Shangsong Liang

Recurrent Neural Networks (RNNs) achieve state-of-the-art results in many sequence-to-sequence modeling tasks. However, RNNs are difficult to train and tend to suffer from overfitting. Motivated by the Data Processing Inequality (DPI), we…

机器学习 · 统计学 2018-05-24 Ziv Aharoni , Gal Rattner , Haim Permuter

Pretrained Graph Neural Networks have been widely adopted for various molecular property prediction tasks. Despite their ability to encode structural and relational features of molecules, traditional fine-tuning of such pretrained GNNs on…

机器学习 · 计算机科学 2024-01-30 Vishal Dey , Xia Ning