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Current deep neural networks suffer from two problems; first, they are hard to interpret, and second, they suffer from overfitting. There have been many attempts to define interpretability in neural networks, but they typically lack…

机器学习 · 计算机科学 2019-08-15 Sean Tao

The cost of hyperparameter tuning in deep learning has been rising with model sizes, prompting practitioners to find new tuning methods using a proxy of smaller networks. One such proposal uses $\mu$P parameterized networks, where the…

机器学习 · 统计学 2023-12-11 Blake Bordelon , Lorenzo Noci , Mufan Bill Li , Boris Hanin , Cengiz Pehlevan

The most advanced diffusion models have recently adopted increasingly deep stacked networks (e.g., U-Net or Transformer) to promote the generative emergence capabilities of vision generation models similar to large language models (LLMs).…

计算机视觉与模式识别 · 计算机科学 2024-07-23 Zhiyuan Ma , Liangliang Zhao , Biqing Qi , Bowen Zhou

A deep residual network, built by stacking a sequence of residual blocks, is easy to train, because identity mappings skip residual branches and thus improve information flow. To further reduce the training difficulty, we present a simple…

计算机视觉与模式识别 · 计算机科学 2017-07-20 Liming Zhao , Jingdong Wang , Xi Li , Zhuowen Tu , Wenjun Zeng

Residual neural networks (ResNets) are a promising class of deep neural networks that have shown excellent performance for a number of learning tasks, e.g., image classification and recognition. Mathematically, ResNet architectures can be…

最优化与控制 · 数学 2019-07-26 S. Günther , L. Ruthotto , J. B. Schroder , E. C. Cyr , N. R. Gauger

The effectiveness of recurrent neural networks can be largely influenced by their ability to store into their dynamical memory information extracted from input sequences at different frequencies and timescales. Such a feature can be…

机器学习 · 计算机科学 2020-07-01 Antonio Carta , Alessandro Sperduti , Davide Bacciu

The driving force behind deep networks is their ability to compactly represent rich classes of functions. The primary notion for formally reasoning about this phenomenon is expressive efficiency, which refers to a situation where one…

机器学习 · 计算机科学 2018-02-14 Nadav Cohen , Ronen Tamari , Amnon Shashua

Training deep neural networks is a very demanding task, especially challenging is how to adapt architectures to improve the performance of trained models. We can find that sometimes, shallow networks generalize better than deep networks,…

机器学习 · 计算机科学 2022-08-03 David Peer , Bart Keulen , Sebastian Stabinger , Justus Piater , Antonio Rodríguez-Sánchez

Deep ensembles have been empirically shown to be a promising approach for improving accuracy, uncertainty and out-of-distribution robustness of deep learning models. While deep ensembles were theoretically motivated by the bootstrap,…

机器学习 · 统计学 2020-06-26 Stanislav Fort , Huiyi Hu , Balaji Lakshminarayanan

Neural networks have been very successful in many applications; we often, however, lack a theoretical understanding of what the neural networks are actually learning. This problem emerges when trying to generalise to new data sets. The…

经典分析与常微分方程 · 数学 2022-11-22 Matthew Thorpe , Yves van Gennip

We introduce a general theoretical framework, designed for the study of gradient optimisation of deep neural networks, that encompasses ubiquitous architecture choices including batch normalisation, weight normalisation and skip…

机器学习 · 计算机科学 2023-12-05 Lachlan Ewen MacDonald , Jack Valmadre , Hemanth Saratchandran , Simon Lucey

Generative mechanisms which lead to empirically observed structure of networked systems from diverse fields like biology, technology and social sciences form a very important part of study of complex networks. The structure of many…

物理与社会 · 物理学 2015-12-03 Snehal M. Shekatkar , G. Ambika

While deep learning is successful in a number of applications, it is not yet well understood theoretically. A satisfactory theoretical characterization of deep learning however, is beginning to emerge. It covers the following questions: 1)…

机器学习 · 计算机科学 2019-08-27 Tomaso Poggio , Andrzej Banburski , Qianli Liao

Structural crack detection is a critical task for public safety as it helps in preventing potential structural failures that could endanger lives. Manual detection by inexperienced personnel can be slow, inconsistent, and prone to human…

计算机视觉与模式识别 · 计算机科学 2025-07-04 Subhasis Dasgupta , Jaydip Sen , Tuhina Halder

We show that Residual Networks (ResNet) is equivalent to boosting feature representation, without any modification to the underlying ResNet training algorithm. A regret bound based on Online Gradient Boosting theory is proved and suggests…

机器学习 · 统计学 2019-09-27 Chapman Siu

Designing efficient network structures has always been the core content of neural network research. ResNet and its variants have proved to be efficient in architecture. However, how to theoretically character the influence of network…

计算机视觉与模式识别 · 计算机科学 2019-12-30 Wenfeng Feng , Xin Zhang , Guangpeng Zhao

Residual units are wildly used for alleviating optimization difficulties when building deep neural networks. However, the performance gain does not well compensate the model size increase, indicating low parameter efficiency in these…

计算机视觉与模式识别 · 计算机科学 2017-03-16 Chen Yunpeng , Jin Xiaojie , Kang Bingyi , Feng Jiashi , Yan Shuicheng

Randomized Neural Networks explore the behavior of neural systems where the majority of connections are fixed, either in a stochastic or a deterministic fashion. Typical examples of such systems consist of multi-layered neural network…

机器学习 · 计算机科学 2021-02-03 Claudio Gallicchio , Simone Scardapane

Weight matrices in deep networks exhibit geometric continuity -- principal singular vectors of adjacent layers point in similar directions. While this property has been widely observed, its origin remains unexplained. Through experiments on…

机器学习 · 计算机科学 2026-05-07 Kyungwon Jeong , Won-Gi Paeng , Honggyo Suh

Seismic data often contain gaps due to various obstacles in the investigated area and recording instrument failures. Deep learning techniques offer promising solutions for reconstructing missing data parts by leveraging existing…

地球物理 · 物理学 2024-04-04 Mohammad Mahdi Abedi , David Pardo , Tariq Alkhalifah