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Convolutional Neural Networks (CNNs) have dominated computer vision for years, due to its ability in capturing locality and translation invariance. Recently, many vision transformer architectures have been proposed and they show promising…

计算机视觉与模式识别 · 计算机科学 2022-07-26 Pichao Wang , Xue Wang , Fan Wang , Ming Lin , Shuning Chang , Hao Li , Rong Jin

Recently, vision Transformers (ViTs) are developing rapidly and starting to challenge the domination of convolutional neural networks (CNNs) in the realm of computer vision (CV). With the general-purpose Transformer architecture replacing…

计算机视觉与模式识别 · 计算机科学 2022-03-29 Haofei Zhang , Jiarui Duan , Mengqi Xue , Jie Song , Li Sun , Mingli Song

The Neural Tangent Kernel (NTK) framework explains optimization in over-parameterized neural networks via approximately linearized dynamics, yielding exponential convergence guarantees. However, existing results are often overly pessimistic…

机器学习 · 计算机科学 2026-05-26 Ruchirinkil Marreddy , Chaoyue Liu

For certain infinitely-wide neural networks, the neural tangent kernel (NTK) theory fully characterizes generalization, but for the networks used in practice, the empirical NTK only provides a rough first-order approximation. Still, a…

机器学习 · 计算机科学 2021-10-14 Guillermo Ortiz-Jiménez , Seyed-Mohsen Moosavi-Dezfooli , Pascal Frossard

We study training one-hidden-layer ReLU networks in the neural tangent kernel (NTK) regime, where the networks' biases are initialized to some constant rather than zero. We prove that under such initialization, the neural network will have…

机器学习 · 计算机科学 2024-10-31 Hongru Yang , Ziyu Jiang , Ruizhe Zhang , Yingbin Liang , Zhangyang Wang

Texture recognition has recently been dominated by ImageNet-pre-trained deep Convolutional Neural Networks (CNNs), with specialized modifications and feature engineering required to achieve state-of-the-art (SOTA) performance. However,…

计算机视觉与模式识别 · 计算机科学 2025-03-11 Leonardo Scabini , Kallil M. Zielinski , Emir Konuk , Ricardo T. Fares , Lucas C. Ribas , Kevin Smith , Odemir M. Bruno

We introduce torchNTK, a python library to calculate the empirical neural tangent kernel (NTK) of neural network models in the PyTorch framework. We provide an efficient method to calculate the NTK of multilayer perceptrons. We compare the…

机器学习 · 计算机科学 2022-05-26 Andrew Engel , Zhichao Wang , Anand D. Sarwate , Sutanay Choudhury , Tony Chiang

The recent advances in image transformers have shown impressive results and have largely closed the gap between traditional CNN architectures. The standard procedure is to train on large datasets like ImageNet-21k and then finetune on…

计算机视觉与模式识别 · 计算机科学 2022-05-24 Ethan Huynh

A longstanding goal in the theory of deep learning is to characterize the conditions under which a given neural network architecture will be trainable, and if so, how well it might generalize to unseen data. In this work, we provide such a…

机器学习 · 计算机科学 2020-07-14 Lechao Xiao , Jeffrey Pennington , Samuel S. Schoenholz

Due to the lack of quality annotation in medical imaging community, semi-supervised learning methods are highly valued in image semantic segmentation tasks. In this paper, an advanced consistency-aware pseudo-label-based self-ensembling…

图像与视频处理 · 电气工程与系统科学 2024-02-12 Ziyang Wang , Tianze Li , Jian-Qing Zheng , Baoru Huang

Vision Transformers (ViTs) have achieved comparable or superior performance than Convolutional Neural Networks (CNNs) in computer vision. This empirical breakthrough is even more remarkable since, in contrast to CNNs, ViTs do not embed any…

计算机视觉与模式识别 · 计算机科学 2022-10-18 Samy Jelassi , Michael E. Sander , Yuanzhi Li

Deep neural networks have become essential for numerous applications due to their strong empirical performance such as vision, RL, and classification. Unfortunately, these networks are quite difficult to interpret, and this limits their…

机器学习 · 计算机科学 2021-10-12 Sina Alemohammad , Hossein Babaei , CJ Barberan , Naiming Liu , Lorenzo Luzi , Blake Mason , Richard G. Baraniuk

A soft tree is an actively studied variant of a decision tree that updates splitting rules using the gradient method. Although soft trees can take various architectures, their impact is not theoretically well known. In this paper, we…

机器学习 · 计算机科学 2023-02-10 Ryuichi Kanoh , Mahito Sugiyama

Recently, test-time adaptation has garnered attention as a method for tuning models without labeled data. The conventional modus operandi for adapting pre-trained vision-language models (VLMs) during test-time primarily focuses on tuning…

计算机视觉与模式识别 · 计算机科学 2025-02-11 Raza Imam , Asif Hanif , Jian Zhang , Khaled Waleed Dawoud , Yova Kementchedjhieva , Mohammad Yaqub

Physics-informed Kolmogorov-Arnold Networks (PIKANs), and in particular their Chebyshev-based variants (cPIKANs), have recently emerged as promising models for solving partial differential equations (PDEs). However, their training dynamics…

机器学习 · 计算机科学 2025-06-10 Salah A. Faroughi , Farinaz Mostajeran

There are currently two parameterizations used to derive fixed kernels corresponding to infinite width neural networks, the NTK (Neural Tangent Kernel) parameterization and the naive standard parameterization. However, the extrapolation of…

机器学习 · 计算机科学 2020-04-21 Jascha Sohl-Dickstein , Roman Novak , Samuel S. Schoenholz , Jaehoon Lee

Physics-informed neural networks (PINNs) are demonstrating remarkable promise in integrating physical models with gappy and noisy observational data, but they still struggle in cases where the target functions to be approximated exhibit…

机器学习 · 计算机科学 2021-06-16 Sifan Wang , Hanwen Wang , Paris Perdikaris

Convolutional Neural Networks (CNNs), architectures consisting of convolutional layers, have been the standard choice in vision tasks. Recent studies have shown that Vision Transformers (VTs), architectures based on self-attention modules,…

计算机视觉与模式识别 · 计算机科学 2022-01-24 Kishaan Jeeveswaran , Senthilkumar Kathiresan , Arnav Varma , Omar Magdy , Bahram Zonooz , Elahe Arani

There still remains an extreme performance gap between Vision Transformers (ViTs) and Convolutional Neural Networks (CNNs) when training from scratch on small datasets, which is concluded to the lack of inductive bias. In this paper, we…

计算机视觉与模式识别 · 计算机科学 2023-01-02 Zhiying Lu , Hongtao Xie , Chuanbin Liu , Yongdong Zhang

General-purpose pre-trained models ("foundation models") have enabled practitioners to produce generalizable solutions for individual machine learning problems with datasets that are significantly smaller than those required for learning…

机器人学 · 计算机科学 2023-10-25 Dhruv Shah , Ajay Sridhar , Nitish Dashora , Kyle Stachowicz , Kevin Black , Noriaki Hirose , Sergey Levine