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The Hessian of a neural network captures parameter interactions through second-order derivatives of the loss. It is a fundamental object of study, closely tied to various problems in deep learning, including model design, optimization, and…

Machine Learning · Computer Science 2021-07-02 Sidak Pal Singh , Gregor Bachmann , Thomas Hofmann

In this work, we investigate the value of employing deep learning for the task of wireless signal modulation recognition. Recently in [1], a framework has been introduced by generating a dataset using GNU radio that mimics the imperfections…

Machine Learning · Computer Science 2018-01-08 Xiaoyu Liu , Diyu Yang , Aly El Gamal

Bayesian deep learning counts on the quality of posterior distribution estimation. However, the posterior of deep neural networks is highly multi-modal in nature, with local modes exhibiting varying generalization performance. Given a…

Machine Learning · Computer Science 2024-03-27 Bolian Li , Ruqi Zhang

Deep learning techniques have become prominent in modern fault diagnosis for complex processes. In particular, convolutional neural networks (CNNs) have shown an appealing capacity to deal with multivariate time-series data by converting…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Saif S. S. Al-Wahaibi , Qiugang Lu

Neural Architecture Search (NAS) aims to automatically excavate the optimal network architecture with superior test performance. Recent neural architecture search (NAS) approaches rely on validation loss or accuracy to find the superior…

Computer Vision and Pattern Recognition · Computer Science 2023-05-19 Joonhyun Jeong , Joonsang Yu , Geondo Park , Dongyoon Han , YoungJoon Yoo

While various complexity measures for deep neural networks exist, specifying an appropriate measure capable of predicting and explaining generalization in deep networks has proven challenging. We propose Neural Complexity (NC), a…

Machine Learning · Computer Science 2020-10-26 Yoonho Lee , Juho Lee , Sung Ju Hwang , Eunho Yang , Seungjin Choi

While recently many designs have been proposed to improve the model efficiency of convolutional neural networks (CNNs) on a fixed resource budget, theoretical understanding of these designs is still conspicuously lacking. This paper aims to…

Machine Learning · Computer Science 2021-12-10 Feiqing Huang , Yuefeng Si , Yao Zheng , Guodong Li

The vast quantity of strong galaxy-galaxy gravitational lenses expected by future large-scale surveys necessitates the development of automated methods to efficiently model their mass profiles. For this purpose, we train an approximate…

Instrumentation and Methods for Astrophysics · Physics 2021-06-30 James Pearson , Jacob Maresca , Nan Li , Simon Dye

Network quantization is one of network compression techniques to reduce the redundancy of deep neural networks. It reduces the number of distinct network parameter values by quantization in order to save the storage for them. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2017-11-15 Yoojin Choi , Mostafa El-Khamy , Jungwon Lee

It has been observed that the input space of deep neural network classifiers can exhibit `fragmentation', where the model function rapidly changes class as the input space is traversed. The severity of this fragmentation tends to follow the…

Phenomenally successful in practical inference problems, convolutional neural networks (CNN) are widely deployed in mobile devices, data centers, and even supercomputers. The number of parameters needed in CNNs, however, are often large and…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Jongsoo Park , Sheng Li , Wei Wen , Ping Tak Peter Tang , Hai Li , Yiran Chen , Pradeep Dubey

Several recent works have empirically observed that Convolutional Neural Nets (CNNs) are (approximately) invertible. To understand this approximate invertibility phenomenon and how to leverage it more effectively, we focus on a theoretical…

Machine Learning · Statistics 2017-05-25 Anna C. Gilbert , Yi Zhang , Kibok Lee , Yuting Zhang , Honglak Lee

Deep convolutional neural networks (CNNs) used in practice employ potentially hundreds of layers and $10$,$000$s of nodes. Such network sizes entail significant computational complexity due to the large number of convolutions that need to…

Machine Learning · Statistics 2018-03-15 Thomas Wiatowski , Philipp Grohs , Helmut Bölcskei

The trace norm is widely used in multi-task learning as it can discover low-rank structures among tasks in terms of model parameters. Nowadays, with the emerging of big datasets and the popularity of deep learning techniques, tensor trace…

Machine Learning · Computer Science 2020-02-13 Yi Zhang , Yu Zhang , Wei Wang

The lack of theoretical results for Layer Normalization and feedforward Hessians has left a gap in the study of Transformer optimization landscapes. We address this by deriving explicit second-order expressions for these components, thereby…

Machine Learning · Computer Science 2025-10-21 Egor Petrov , Nikita Kiselev , Vladislav Meshkov , Andrey Grabovoy

Characterizing the loss of a neural network with respect to model parameters, i.e., the loss landscape, can provide valuable insights into properties of that model. Various methods for visualizing loss landscapes have been proposed, but…

This paper investigates the role of saliency to improve the classification accuracy of a Convolutional Neural Network (CNN) for the case when scarce training data is available. Our approach consists in adding a saliency branch to an…

Computer Vision and Pattern Recognition · Computer Science 2019-05-07 Carola Figueroa Flores , Abel Gonzalez-García , Joost van de Weijer , Bogdan Raducanu

Convolutional rectifier networks, i.e. convolutional neural networks with rectified linear activation and max or average pooling, are the cornerstone of modern deep learning. However, despite their wide use and success, our theoretical…

Neural and Evolutionary Computing · Computer Science 2016-10-18 Nadav Cohen , Amnon Shashua

Traditional analyses of gradient descent optimization show that, when the largest eigenvalue of the loss Hessian - often referred to as the sharpness - is below a critical learning-rate threshold, then training is 'stable' and training loss…

Machine Learning · Computer Science 2024-12-24 Lawrence Wang , Stephen J. Roberts

Recent advances in generalized image understanding have seen a surge in the use of deep convolutional neural networks (CNN) across a broad range of image-based detection, classification and prediction tasks. Whilst the reported performance…

Computer Vision and Pattern Recognition · Computer Science 2020-07-29 Matt Poyser , Amir Atapour-Abarghouei , Toby P. Breckon
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