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Despite being one of the earliest neural network layers, the Multilayer Perceptron (MLP) is arguably one of the least understood parts of the transformer architecture due to its dense computation and lack of easy visualization. This paper…

Machine Learning · Computer Science 2025-12-23 Enric Boix-Adsera

Multilayer perceptrons (MLPs) are an integral part of large language models, yet their dense representations render them difficult to understand, edit, and steer. Recent methods learn interpretable approximations via neuron-level sparsity,…

Machine Learning · Computer Science 2026-01-15 James Oldfield , Shawn Im , Sharon Li , Mihalis A. Nicolaou , Ioannis Patras , Grigorios G Chrysos

A core component present in many successful neural network architectures, is an MLP block of two fully connected layers with a non-linear activation in between. An intriguing phenomenon observed empirically, including in transformer…

Machine Learning · Computer Science 2024-06-27 Pranjal Awasthi , Nishanth Dikkala , Pritish Kamath , Raghu Meka

In this work we revisit the most fundamental building block in deep learning, the multi-layer perceptron (MLP), and study the limits of its performance on vision tasks. Empirical insights into MLPs are important for multiple reasons. (1)…

Machine Learning · Computer Science 2023-10-04 Gregor Bachmann , Sotiris Anagnostidis , Thomas Hofmann

Multilayer perceptrons (MLPs) remain fundamental to modern deep learning, yet their algorithmic details are rarely presented in complete, explicit \emph{batch matrix-form}. Rather, most references express gradients per sample or rely on…

Machine Learning · Computer Science 2025-11-18 Wieger Wesselink , Bram Grooten , Huub van de Wetering , Qiao Xiao , Decebal Constantin Mocanu

This paper shows that a long chain of perceptrons (that is, a multilayer perceptron, or MLP, with many hidden layers of width one) can be a universal classifier. The classification procedure is not necessarily computationally efficient, but…

Neural and Evolutionary Computing · Computer Science 2017-07-11 Raul Rojas

Convolutional Neural Networks (CNNs) are the go-to model for computer vision. Recently, attention-based networks, such as the Vision Transformer, have also become popular. In this paper we show that while convolutions and attention are both…

Mixture-of-Experts (MoE), a conditional computation architecture, achieved promising performance by scaling local module (i.e. feed-forward network) of transformer. However, scaling the cross-token module (i.e. self-attention) is…

Machine Learning · Computer Science 2022-01-17 Yuxuan Lou , Fuzhao Xue , Zangwei Zheng , Yang You

We consider regression models involving multilayer perceptrons (MLP) with one hidden layer and a Gaussian noise. The estimation of the parameters of the MLP can be done by maximizing the likelihood of the model. In this framework, it is…

Statistics Theory · Mathematics 2008-02-22 Joseph Rynkiewicz

Modern deep learning architectures are ordinarily performed on high-performance computing facilities due to the large size of the input features and complexity of its model. This paper proposes traditional multilayer perceptrons (MLP) with…

Audio and Speech Processing · Electrical Eng. & Systems 2022-09-28 Bagus Tris Atmaja , Masato Akagi

We consider regression models involving multilayer perceptrons (MLP) with one hidden layer and a Gaussian noise. The estimation of the parameters of the MLP can be done by maximizing the likelihood of the model. In this framework, it is…

Statistics Theory · Mathematics 2008-02-25 Joseph Rynkiewicz

A multilayer perceptron (MLP) is typically made of multiple fully connected layers with nonlinear activation functions. There have been several approaches to make them better (e.g. faster convergence, better convergence limit, etc.). But…

Machine Learning · Computer Science 2021-08-24 Taewoon Kim

Transformer-based architectures are the model of choice for natural language understanding, but they come at a significant cost, as they have quadratic complexity in the input length, require a lot of training data, and can be difficult to…

Computation and Language · Computer Science 2023-11-14 Florian Mai , Arnaud Pannatier , Fabio Fehr , Haolin Chen , Francois Marelli , Francois Fleuret , James Henderson

The learned weights of a neural network are often considered devoid of scrutable internal structure. To discern structure in these weights, we introduce a measurable notion of modularity for multi-layer perceptrons (MLPs), and investigate…

Neural and Evolutionary Computing · Computer Science 2022-02-09 Daniel Filan , Shlomi Hod , Cody Wild , Andrew Critch , Stuart Russell

Despite their practical success, it remains unclear why Mixture of Experts (MoE) models can outperform dense networks beyond sheer parameter scaling. We study an iso-parameter regime where inputs exhibit latent modular structure but are…

Machine Learning · Computer Science 2026-01-22 Dong Sun , Rahul Nittala , Rebekka Burkholz

The ability of neural networks to represent more features than neurons makes interpreting them challenging. This phenomenon, known as superposition, has spurred efforts to find architectures that are more interpretable than standard…

Machine Learning · Computer Science 2023-05-08 Lee Sharkey

This paper studies the curious phenomenon for machine learning models with Transformer architectures that their activation maps are sparse. By activation map we refer to the intermediate output of the multi-layer perceptrons (MLPs) after a…

Recently, MLP-like vision models have achieved promising performances on mainstream visual recognition tasks. In contrast with vision transformers and CNNs, the success of MLP-like models shows that simple information fusion operations…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Ziyu Wang , Wenhao Jiang , Yiming Zhu , Li Yuan , Yibing Song , Wei Liu

All-MLP architectures have attracted increasing interest as an alternative to attention-based models. In NLP, recent work like gMLP shows that all-MLPs can match Transformers in language modeling, but still lag behind in downstream tasks.…

Computation and Language · Computer Science 2022-06-02 Ping Yu , Mikel Artetxe , Myle Ott , Sam Shleifer , Hongyu Gong , Ves Stoyanov , Xian Li

Despite the success of deep learning in domains such as image, voice, and graphs, there has been little progress in deep representation learning for domains without a known structure between features. For instance, a tabular dataset of…

Machine Learning · Computer Science 2020-11-26 Mohammad Kachuee , Sajad Darabi , Shayan Fazeli , Majid Sarrafzadeh
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