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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…

机器学习 · 计算机科学 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…

最优化与控制 · 数学 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…

计算与语言 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算与语言 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

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…

最优化与控制 · 数学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 2015-11-10 Jia-Ren Chang , Yong-Sheng Chen
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