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Neural architectures tend to fit their data with relatively simple functions. This "simplicity bias" is widely regarded as key to their success. This paper explores the limits of this principle. Building on recent findings that the…

Machine Learning · Computer Science 2025-03-14 Damien Teney , Liangze Jiang , Florin Gogianu , Ehsan Abbasnejad

In this work, we consider a nonsmooth minimisation problem in which the objective function can be represented as the maximum of finitely many smooth ``subfunctions''. First, we study a smooth min-max reformulation of the problem. Due to…

Optimization and Control · Mathematics 2024-04-17 Charl Ras , Matthew Tam , Daniel Uteda

Transformers have achieved remarkable success in a wide range of natural language processing and computer vision applications. However, the representation capacity of a deep transformer model is degraded due to the over-smoothing issue in…

Computation and Language · Computer Science 2023-12-04 Tam Nguyen , Tan M. Nguyen , Richard G. Baraniuk

This article proposes a Universal Activation Function (UAF) that achieves near optimal performance in quantification, classification, and reinforcement learning (RL) problems. For any given problem, the optimization algorithms are able to…

Machine Learning · Computer Science 2022-11-07 Brosnan Yuen , Minh Tu Hoang , Xiaodai Dong , Tao Lu

We analyze a simple one-hidden-layer neural network with ReLU activation functions and fixed biases, with one-dimensional input and output. We study both continuous and discrete versions of the model, and we rigorously prove the convergence…

Machine Learning · Computer Science 2026-04-10 Fabricio Macià , Shu Nakamura

Fourier Analysis Network (FAN) was recently proposed as a simple way to improve neural network performance by replacing part of Rectified Linear Unit (ReLU) activations with sine and cosine functions. Although several studies have reported…

Machine Learning · Computer Science 2026-03-16 Sam Jeong , Hae Yong Kim

Deep Learning has revolutionized vision via convolutional neural networks (CNNs) and natural language processing via recurrent neural networks (RNNs). However, success stories of Deep Learning with standard feed-forward neural networks…

Machine Learning · Computer Science 2018-01-31 Günter Klambauer , Thomas Unterthiner , Andreas Mayr , Sepp Hochreiter

Batch Normalization is a key component in almost all state-of-the-art image classifiers, but it also introduces practical challenges: it breaks the independence between training examples within a batch, can incur compute and memory…

Machine Learning · Computer Science 2021-01-28 Andrew Brock , Soham De , Samuel L. Smith

This paper introduces MixDiff, a new self-supervised learning (SSL) pre-training framework that combines real and synthetic images. Unlike traditional SSL methods that predominantly use real images, MixDiff uses a variant of Stable…

Computer Vision and Pattern Recognition · Computer Science 2024-12-06 Reza Akbarian Bafghi , Nidhin Harilal , Claire Monteleoni , Maziar Raissi

Nonlinearity is crucial to the performance of a deep (neural) network (DN). To date there has been little progress understanding the menagerie of available nonlinearities, but recently progress has been made on understanding the r\^ole…

Machine Learning · Computer Science 2018-10-23 Randall Balestriero , Richard G. Baraniuk

Recently, self-normalizing neural networks (SNNs) have been proposed with the intention to avoid batch or weight normalization. The key step in SNNs is to properly scale the exponential linear unit (referred to as SELU) to inherently…

Machine Learning · Computer Science 2018-07-30 G. Zhang , H. Li

In this paper, we introduce a novel type of Rectified Linear Unit (ReLU), called a Dual Rectified Linear Unit (DReLU). A DReLU, which comes with an unbounded positive and negative image, can be used as a drop-in replacement for a tanh…

Computation and Language · Computer Science 2019-03-01 Fréderic Godin , Jonas Degrave , Joni Dambre , Wesley De Neve

Selective parameter activation provided by Mixture-of-Expert (MoE) models have made them a popular choice in modern foundational models. However, MoEs face a fundamental tension when employed for serving. Batching, critical for performance…

Machine Learning · Computer Science 2026-05-20 Vima Gupta , Jae Hyung Ju , Kartik Sinha , Ada Gavrilovska , Anand Padmanabha Iyer

As a widely used non-linear activation, Rectified Linear Unit (ReLU) separates noise and signal in a feature map by learning a threshold or bias. However, we argue that the classification of noise and signal not only depends on the…

Computer Vision and Pattern Recognition · Computer Science 2016-04-05 Hongyang Li , Wanli Ouyang , Xiaogang Wang

Lipschitz-constrained neural networks have several advantages over unconstrained ones and can be applied to a variety of problems, making them a topic of attention in the deep learning community. Unfortunately, it has been shown both…

Machine Learning · Computer Science 2023-12-20 Stanislas Ducotterd , Alexis Goujon , Pakshal Bohra , Dimitris Perdios , Sebastian Neumayer , Michael Unser

We consider solving distributed consensus optimization problems over multi-agent networks. Current distributed methods fail to capture the heterogeneity among agents' local computation capacities. We propose DISH as a distributed hybrid…

Optimization and Control · Mathematics 2023-08-03 Xiaochun Niu , Ermin Wei

We study expressive power of shallow and deep neural networks with piece-wise linear activation functions. We establish new rigorous upper and lower bounds for the network complexity in the setting of approximations in Sobolev spaces. In…

Machine Learning · Computer Science 2017-05-02 Dmitry Yarotsky

Mixed-precision quantization of efficient networks often suffer from activation instability encountered in the exploration of bit selections. To address this problem, we propose a novel method called MetaMix which consists of bit selection…

Machine Learning · Computer Science 2024-04-10 Han-Byul Kim , Joo Hyung Lee , Sungjoo Yoo , Hong-Seok Kim

We study the challenging incremental few-shot object detection (iFSD) setting. Recently, hypernetwork-based approaches have been studied in the context of continuous and finetune-free iFSD with limited success. We take a closer look at…

Computer Vision and Pattern Recognition · Computer Science 2022-04-06 Li Yin , Juan M Perez-Rua , Kevin J Liang

This paper reports a novel deep architecture referred to as Maxout network In Network (MIN), which can enhance model discriminability and facilitate the process of information abstraction within the receptive field. The proposed network…

Computer Vision and Pattern Recognition · Computer Science 2015-11-10 Jia-Ren Chang , Yong-Sheng Chen
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