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A recent breakthrough in deep learning theory shows that the training of over-parameterized deep neural networks can be characterized by a kernel function called \textit{neural tangent kernel} (NTK). However, it is known that this type of…

机器学习 · 计算机科学 2020-10-07 Zixiang Chen , Yuan Cao , Quanquan Gu , Tong Zhang

Existing techniques to encode spatial invariance within deep convolutional neural networks (CNNs) apply the same warping field to all the feature channels. This does not account for the fact that the individual feature channels can…

计算机视觉与模式识别 · 计算机科学 2020-07-21 Seungryong Kim , Sabine Süsstrunk , Mathieu Salzmann

In modern communication systems operating with Orthogonal Frequency-Division Multiplexing (OFDM), channel estimation requires minimal complexity with one-tap equalizers. However, this depends on cyclic prefixes, which must be sufficiently…

Artificial neural networks have revolutionized machine learning in recent years, but a complete theoretical framework for their learning process is still lacking. Substantial advances were achieved for wide networks, within two disparate…

机器学习 · 计算机科学 2025-05-09 Yehonatan Avidan , Qianyi Li , Haim Sompolinsky

Due to the advent of modern embedded systems and mobile devices with constrained resources, there is a great demand for incredibly efficient deep neural networks for machine learning purposes. There is also a growing concern of privacy and…

计算机视觉与模式识别 · 计算机科学 2021-12-02 Priyank Kalgaonkar , Mohamed El-Sharkawy

Channel estimation is of crucial importance in massive multiple-input multiple-output (m-MIMO) visible light communication (VLC) systems. In order to tackle this problem, a fast and flexible denoising convolutional neural network…

信号处理 · 电气工程与系统科学 2019-11-19 Zhipeng Gao , Yuhao Wang , Xiaodong Liu , Fuhui Zhou , Kai-Kit Wong

Despite their immense promise in performing a variety of learning tasks, a theoretical understanding of the limitations of Deep Neural Networks (DNNs) has so far eluded practitioners. This is partly due to the inability to determine the…

机器学习 · 计算机科学 2024-01-25 Saad Qadeer , Andrew Engel , Amanda Howard , Adam Tsou , Max Vargas , Panos Stinis , Tony Chiang

With the development of artificial intelligence (AI) techniques, implementing AI-based techniques to improve wireless transceivers becomes an emerging research topic. Within this context, AI-based channel characterization and estimation…

信号处理 · 电气工程与系统科学 2025-10-29 Yuzhi Yang , Sen Yan , Weijie Zhou , Brahim Mefgouda , Ridong Li , Zhaoyang Zhang , Mérouane Debbah

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

Transformers have become the dominant architecture in modern machine learning, yet the theoretical understanding of their training dynamics remains limited. This paper develops a rigorous mathematical framework for analyzing gradient-based…

最优化与控制 · 数学 2026-05-19 Raphaël Barboni , Maarten V. de Hoop , Takashi Furuya , Gabriel Peyré

Dense pixelwise prediction such as semantic segmentation is an up-to-date challenge for deep convolutional neural networks (CNNs). Many state-of-the-art approaches either tackle the loss of high-resolution information due to pooling in the…

计算机视觉与模式识别 · 计算机科学 2018-08-07 Lingni Ma , Jörg Stückler , Tao Wu , Daniel Cremers

Deep structured output learning shows great promise in tasks like semantic image segmentation. We proffer a new, efficient deep structured model learning scheme, in which we show how deep Convolutional Neural Networks (CNNs) can be used to…

计算机视觉与模式识别 · 计算机科学 2015-09-09 Guosheng Lin , Chunhua Shen , Ian Reid , Anton van den Hengel

Identifying unfamiliar inputs, also known as out-of-distribution (OOD) detection, is a crucial property of any decision making process. A simple and empirically validated technique is based on deep ensembles where the variance of…

机器学习 · 计算机科学 2022-10-19 Seijin Kobayashi , Pau Vilimelis Aceituno , Johannes von Oswald

Standard infinite-width limits of neural networks sacrifice the ability for intermediate layers to learn representations from data. Recent work (A theory of representation learning gives a deep generalisation of kernel methods, Yang et al.…

机器学习 · 统计学 2024-02-27 Edward Milsom , Ben Anson , Laurence Aitchison

This paper investigates the Neural Tangent Kernel (NTK) to search vision transformers without training. In contrast with the previous observation that NTK-based metrics can effectively predict CNNs performance at initialization, we…

计算机视觉与模式识别 · 计算机科学 2024-05-09 Qiqi Zhou , Yichen Zhu

At initialization, artificial neural networks (ANNs) are equivalent to Gaussian processes in the infinite-width limit, thus connecting them to kernel methods. We prove that the evolution of an ANN during training can also be described by a…

机器学习 · 计算机科学 2020-02-11 Arthur Jacot , Franck Gabriel , Clément Hongler

Channel estimation is of great importance in realizing practical intelligent reflecting surface-assisted multi-user communication (IRS-MC) systems. However, different from traditional communication systems, an IRS-MC system generally…

信号处理 · 电气工程与系统科学 2020-12-02 Chang Liu , Xuemeng Liu , Derrick Wing Kwan Ng , Jinhong Yuan

Inverse problems and, in particular, inferring unknown or latent parameters from data are ubiquitous in engineering simulations. A predominant viewpoint in identifying unknown parameters is Bayesian inference where both prior information…

统计计算 · 统计学 2022-08-31 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

Connectionist temporal classification (CTC) is a popular sequence prediction approach for automatic speech recognition that is typically used with models based on recurrent neural networks (RNNs). We explore whether deep convolutional…

计算与语言 · 计算机科学 2018-02-16 Kalpesh Krishna , Liang Lu , Kevin Gimpel , Karen Livescu

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