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Multilayer perceptrons (MLP) with one hidden layer have been used for a long time to deal with non-linear regression. However, in some task, MLP's are too powerful models and a small mean square error (MSE) may be more due to overfitting…

Statistics Theory · Mathematics 2012-05-10 Joseph Rynkiewicz

We give analytical results for propagation of uncertainty through trained multi-layer perceptrons (MLPs) with a single hidden layer and ReLU activation functions. More precisely, we give expressions for the mean and variance of the output…

Machine Learning · Computer Science 2026-01-26 Andrew Thompson , Miles McCrory

Large-scale pre-training of deep models, followed by fine-tuning them, has become the cornerstone of natural language processing (NLP). The prevalence of data coupled with computational resources has led to large models with a considerable…

Computation and Language · Computer Science 2025-03-17 Rachel S. Y. Teo , Tan M. Nguyen

Transformer layers, which use an alternating pattern of multi-head attention and multi-layer perceptron (MLP) layers, provide an effective tool for a variety of machine learning problems. As the transformer layers use residual connections…

Machine Learning · Computer Science 2022-12-13 Yaofeng Desmond Zhong , Tongtao Zhang , Amit Chakraborty , Biswadip Dey

Explicit structural information has been proven to be encoded by Graph Neural Networks (GNNs), serving as auxiliary knowledge to enhance model capabilities and improve performance in downstream NLP tasks. However, recent studies indicate…

Computation and Language · Computer Science 2025-06-30 Li Zhou , Hao Jiang , Junjie Li , Zefeng Zhao , Feng Jiang , Wenyu Chen , Haizhou Li

Deep learning-based bilateral grid processing has emerged as a promising solution for image enhancement, inherently encoding spatial and intensity information while enabling efficient full-resolution processing through slicing operations.…

Computer Vision and Pattern Recognition · Computer Science 2025-07-17 Junyu Lou , Xiaorui Zhao , Kexuan Shi , Shuhang Gu

We present a framework to define a large class of neural networks for which, by construction, training by gradient flow provably reaches arbitrarily low loss when the number of parameters grows. Distinct from the fixed-space global…

Optimization and Control · Mathematics 2025-01-13 David A. R. Robin , Kevin Scaman , Marc Lelarge

Transformers have sprung up in the field of computer vision. In this work, we explore whether the core self-attention module in Transformer is the key to achieving excellent performance in image recognition. To this end, we build an…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Chuanxin Tang , Yucheng Zhao , Guangting Wang , Chong Luo , Wenxuan Xie , Wenjun Zeng

In this paper, we present a MLP-like architecture for sequential recommendation, namely TriMLP, with a novel Triangular Mixer for cross-token communications. In designing Triangular Mixer, we simplify the cross-token operation in MLP as the…

Machine Learning · Computer Science 2023-07-26 Yiheng Jiang , Yuanbo Xu , Yongjian Yang , Funing Yang , Pengyang Wang , Hui Xiong

With the proliferation of mobile devices and the Internet of Things, deep learning models are increasingly deployed on devices with limited computing resources and memory, and are exposed to the threat of adversarial noise. Learning deep…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Xian Wei , Yanhui Huang , Yangyu Xu , Mingsong Chen , Hai Lan , Yuanxiang Li , Zhongfeng Wang , Xuan Tang

Neural networks are highly effective tools for image reconstruction problems such as denoising and compressive sensing. To date, neural networks for image reconstruction are almost exclusively convolutional. The most popular architecture is…

Computer Vision and Pattern Recognition · Computer Science 2022-02-07 Youssef Mansour , Kang Lin , Reinhard Heckel

Large Language Models (LLMs) are predominantly deployed as dense transformers, where every parameter in every feed-forward block is activated for every token. While architecturally simple, this is computationally inefficient, since…

Machine Learning · Computer Science 2025-11-27 Ivan Novikov

Recent studies have made great progress in functional brain network classification by modeling the brain as a network of Regions of Interest (ROIs) and leveraging their connections to understand brain functionality and diagnose mental…

Neurons and Cognition · Quantitative Biology 2025-07-22 Jiacheng Hou , Zhenjie Song , Ercan Engin Kuruoglu

Time series data, including univariate and multivariate ones, are characterized by unique composition and complex multi-scale temporal variations. They often require special consideration of decomposition and multi-scale modeling to…

Machine Learning · Computer Science 2024-03-26 Shuhan Zhong , Sizhe Song , Weipeng Zhuo , Guanyao Li , Yang Liu , S. -H. Gary Chan

Existing approaches to explaining deep learning models in NLP usually suffer from two major drawbacks: (1) the main model and the explaining model are decoupled: an additional probing or surrogate model is used to interpret an existing…

Computation and Language · Computer Science 2020-12-10 Zijun Sun , Chun Fan , Qinghong Han , Xiaofei Sun , Yuxian Meng , Fei Wu , Jiwei Li

We argue that many properties of fully-connected feedforward neural networks (FCNNs), also called multi-layer perceptrons (MLPs), are explainable from the analysis of a single pair of operations, namely a random projection into a…

Machine Learning · Computer Science 2022-11-29 Sayandev Mukherjee , Bernardo A. Huberman

Implicit neural representations with multi-layer perceptrons (MLPs) have recently gained prominence for a wide variety of tasks such as novel view synthesis and 3D object representation and rendering. However, a significant challenge with…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Ruofan Liang , Hongyi Sun , Nandita Vijaykumar

With the rapid growth in the size and complexity of large language models (LLMs), the costs associated with their training and inference have escalated significantly. Research indicates that certain layers in LLMs harbor substantial…

Computation and Language · Computer Science 2025-05-23 Longguang Zhong , Fanqi Wan , Ruijun Chen , Xiaojun Quan , Liangzhi Li

Large language models (LLMs) are dominated by dense linear transformations, whose storage, memory and computational overheads hinder efficient adaptation and deployment while masking the functional impacts of structural simplification. Here…

Computation and Language · Computer Science 2026-05-26 Ying Lu , Peng-Fei Zhou , Qi-Xuan Fang , Pan Zhang , Shi-Ju Ran , Gang Su

The performance of Transformer models has been enhanced by increasing the number of parameters and the length of the processed text. Consequently, fine-tuning the entire model becomes a memory-intensive process. High-performance methods for…

Computation and Language · Computer Science 2024-10-11 Viktoriia Chekalina , Anna Rudenko , Gleb Mezentsev , Alexander Mikhalev , Alexander Panchenko , Ivan Oseledets
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