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Deep learning empirically achieves high performance in many applications, but its training dynamics has not been fully understood theoretically. In this paper, we explore theoretical analysis on training two-layer ReLU neural networks in a…

机器学习 · 统计学 2021-06-30 Shunta Akiyama , Taiji Suzuki

Residual Network (ResNet) is the state-of-the-art architecture that realizes successful training of really deep neural network. It is also known that good weight initialization of neural network avoids problem of vanishing/exploding…

机器学习 · 计算机科学 2017-10-16 Masato Taki

Generative adversarial networks (GANs) learn a deep generative model that is able to synthesise novel, high-dimensional data samples. New data samples are synthesised by passing latent samples, drawn from a chosen prior distribution,…

计算机视觉与模式识别 · 计算机科学 2018-02-16 Antonia Creswell , Anil A Bharath

Generative models with an encoding component such as autoencoders currently receive great interest. However, training of autoencoders is typically complicated by the need to train a separate encoder and decoder model that have to be…

机器学习 · 计算机科学 2018-08-24 Robin Tibor Schirrmeister , Patryk Chrabąszcz , Frank Hutter , Tonio Ball

Recently, deep learning approaches with various network architectures have achieved significant performance improvement over existing iterative reconstruction methods in various imaging problems. However, it is still unclear why these deep…

机器学习 · 统计学 2018-01-26 Jong Chul Ye , Yoseob Han , Eunju Cha

We present an architecture which lets us train deep, directed generative models with many layers of latent variables. We include deterministic paths between all latent variables and the generated output, and provide a richer set of…

机器学习 · 计算机科学 2016-12-15 Philip Bachman

Deep convolutional networks have become a popular tool for image generation and restoration. Generally, their excellent performance is imputed to their ability to learn realistic image priors from a large number of example images. In this…

计算机视觉与模式识别 · 计算机科学 2020-05-19 Dmitry Ulyanov , Andrea Vedaldi , Victor Lempitsky

While the backpropagation of error algorithm enables deep neural network training, it implies (i) bidirectional synaptic weight transport and (ii) update locking until the forward and backward passes are completed. Not only do these…

机器学习 · 统计学 2021-01-19 Charlotte Frenkel , Martin Lefebvre , David Bol

It is widely believed that deep neural networks contain layer specialization, wherein neural networks extract hierarchical features representing edges and patterns in shallow layers and complete objects in deeper layers. Unlike common…

机器学习 · 计算机科学 2022-03-04 Avi Schwarzschild , Arjun Gupta , Amin Ghiasi , Micah Goldblum , Tom Goldstein

Despite the empirical success of using Adversarial Training to defend deep learning models against adversarial perturbations, so far, it still remains rather unclear what the principles are behind the existence of adversarial perturbations,…

机器学习 · 计算机科学 2022-06-14 Zeyuan Allen-Zhu , Yuanzhi Li

We introduce and analyze a new technique for model reduction for deep neural networks. While large networks are theoretically capable of learning arbitrarily complex models, overfitting and model redundancy negatively affects the prediction…

机器学习 · 计算机科学 2017-11-27 Alireza Aghasi , Afshin Abdi , Nam Nguyen , Justin Romberg

Building efficient and effective generative models for neural network weights has been a research focus of significant interest that faces challenges posed by the high-dimensional weight spaces of modern neural networks and their…

机器学习 · 计算机科学 2026-05-01 Saumya Gupta , Scott Biggs , Moritz Laber , Zohair Shafi , Robin Walters , Ayan Paul

It is difficult to describe in mathematical terms what a neural network trained on data represents. On the other hand, there is a growing mathematical understanding of what neural networks are in principle capable of representing.…

机器学习 · 计算机科学 2025-06-25 Daan Huybrechs

Each year, deep learning demonstrates new and improved empirical results with deeper and wider neural networks. Meanwhile, with existing theoretical frameworks, it is difficult to analyze networks deeper than two layers without resorting to…

机器学习 · 计算机科学 2023-03-28 Hong Jun Jeon , Yifan Zhu , Benjamin Van Roy

In spite of finite dimension ReLU neural networks being a consistent factor behind recent deep learning successes, a theory of feature learning in these models remains elusive. Currently, insightful theories still rely on assumptions…

机器学习 · 计算机科学 2025-04-01 Devon Jarvis , Richard Klein , Benjamin Rosman , Andrew M. Saxe

Among the several paradigms of artificial intelligence (AI) or machine learning (ML), a remarkably successful paradigm is deep learning. Deep learning's phenomenal success has been hoped to be interpreted via fundamental research on the…

机器学习 · 计算机科学 2021-11-29 Tilahun M. Getu

We propose a novel family of connectionist models based on kernel machines and consider the problem of learning layer-by-layer a compositional hypothesis class, i.e., a feedforward, multilayer architecture, in a supervised setting. In terms…

机器学习 · 计算机科学 2020-05-13 Shiyu Duan , Shujian Yu , Yunmei Chen , Jose Principe

Deep learning has gained broad interest in remote sensing image scene classification thanks to the effectiveness of deep neural networks in extracting the semantics from complex data. However, deep networks require large amounts of training…

计算机视觉与模式识别 · 计算机科学 2025-10-08 Gianmarco Perantoni , Lorenzo Bruzzone

Deep generative models have made tremendous progress in modeling complex data, often exhibiting generation quality that surpasses a typical human's ability to discern the authenticity of samples. Undeniably, a key driver of this success is…

机器学习 · 计算机科学 2024-04-03 Quentin Bertrand , Avishek Joey Bose , Alexandre Duplessis , Marco Jiralerspong , Gauthier Gidel

Neural networks have shown to be a practical way of building a very complex mapping between a pre-specified input space and output space. For example, a convolutional neural network (CNN) mapping an image into one of a thousand object…

计算机视觉与模式识别 · 计算机科学 2016-11-10 Huayan Wang , Anna Chen , Yi Liu , Dileep George , D. Scott Phoenix