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Neural networks trained via gradient descent with random initialization and without any regularization enjoy good generalization performance in practice despite being highly overparametrized. A promising direction to explain this phenomenon…

Machine Learning · Computer Science 2022-05-17 Hancheng Min , Salma Tarmoun , Rene Vidal , Enrique Mallada

Deep neural networks have proved very successful in domains where large training sets are available, but when the number of training samples is small, their performance suffers from overfitting. Prior methods of reducing overfitting such as…

Computer Vision and Pattern Recognition · Computer Science 2016-01-28 Jiaji Huang , Qiang Qiu , Robert Calderbank , Guillermo Sapiro

We describe a new method for the random sampling of connected networks with a specified degree sequence. We consider both the case of simple graphs and that of loopless multigraphs. The constraints of fixed degrees and of connectedness are…

Physics and Society · Physics 2020-12-03 Szabolcs Horvát , Carl D. Modes

Input-Convex Neural Networks (ICNNs) are networks that guarantee convexity in their input-output mapping. These networks have been successfully applied for energy-based modelling, optimal transport problems and learning invariances. The…

Machine Learning · Computer Science 2023-12-21 Pieter-Jan Hoedt , Günter Klambauer

Modern iterations of deep learning models contain millions (billions) of unique parameters, each represented by a b-bit number. Popular attempts at compressing neural networks (such as pruning and quantisation) have shown that many of the…

Machine Learning · Computer Science 2022-10-26 Christopher Subia-Waud , Srinandan Dasmahapatra

Sparse neural networks are important for achieving better generalization and enhancing computation efficiency. This paper proposes a novel learning approach to obtain sparse fully connected layers in neural networks (NNs) automatically. We…

Machine Learning · Computer Science 2021-04-28 Mengqiao Han , Xiabi Liu , Zhaoyang Hai , Zhengwen Li

To what extent is the success of deep visualization due to the training? Could we do deep visualization using untrained, random weight networks? To address this issue, we explore new and powerful generative models for three popular deep…

Computer Vision and Pattern Recognition · Computer Science 2016-06-17 Kun He , Yan Wang , John Hopcroft

Continual learning can incrementally absorb new concepts without interfering with previously learned knowledge. Motivated by the characteristics of neural networks, in which information is stored in weights on connections, we investigated…

Machine Learning · Computer Science 2023-06-21 Depeng Li , Tianqi Wang , Bingrong Xu , Kenji Kawaguchi , Zhigang Zeng , Ponnuthurai Nagaratnam Suganthan

Recent advancements have scaled neural networks to unprecedented sizes, achieving remarkable performance across a wide range of tasks. However, deploying these large-scale models on resource-constrained devices poses significant challenges…

Machine Learning · Computer Science 2024-10-22 Mostafa Hussien , Mahmoud Afifi , Kim Khoa Nguyen , Mohamed Cheriet

What makes untrained deep neural networks (DNNs) different from the trained performant ones? By zooming into the weights in well-trained DNNs, we found it is the location of weights that hold most of the information encoded by the training.…

Machine Learning · Computer Science 2020-12-08 Yushi Qiu , Reiji Suda

Many machine learning algorithms are based on the assumption that training examples are drawn independently. However, this assumption does not hold anymore when learning from a networked sample where two or more training examples may share…

Machine Learning · Computer Science 2017-02-21 Yuyi Wang , Jan Ramon , Zheng-Chu Guo

Coordinate-based neural representations have shown significant promise as an alternative to discrete, array-based representations for complex low dimensional signals. However, optimizing a coordinate-based network from randomly initialized…

Computer Vision and Pattern Recognition · Computer Science 2021-03-24 Matthew Tancik , Ben Mildenhall , Terrance Wang , Divi Schmidt , Pratul P. Srinivasan , Jonathan T. Barron , Ren Ng

Hypernetworks, or hypernets for short, are neural networks that generate weights for another neural network, known as the target network. They have emerged as a powerful deep learning technique that allows for greater flexibility,…

Machine Learning · Computer Science 2025-01-03 Vinod Kumar Chauhan , Jiandong Zhou , Ping Lu , Soheila Molaei , David A. Clifton

Understanding how neural networks learn remains one of the central challenges in machine learning research. From random at the start of training, the weights of a neural network evolve in such a way as to be able to perform a variety of…

Machine Learning · Computer Science 2020-10-28 Maxime Gabella

Knowledge embedded in the weights of the artificial neural network can be used to improve the network structure, such as in network compression. However, the knowledge is set up by hand, which may not be very accurate, and relevant…

Neural and Evolutionary Computing · Computer Science 2021-10-13 Mengqiao Han , Xiabi Liu , Zhaoyang Hai , Xin Duan

The brain prepares for learning even before interacting with the environment, by refining and optimizing its structures through spontaneous neural activity that resembles random noise. However, the mechanism of such a process has yet to be…

Machine Learning · Computer Science 2025-05-12 Jeonghwan Cheon , Sang Wan Lee , Se-Bum Paik

In this paper, we study the trainability of rectified linear unit (ReLU) networks. A ReLU neuron is said to be dead if it only outputs a constant for any input. Two death states of neurons are introduced; tentative and permanent death. A…

Machine Learning · Computer Science 2020-10-23 Yeonjong Shin , George Em Karniadakis

Recently, neural networks have demonstrated remarkable capabilities in mapping two arbitrary sets to two linearly separable sets. The prospect of achieving this with randomly initialized neural networks is particularly appealing due to the…

Machine Learning · Computer Science 2023-10-10 Promit Ghosal , Srinath Mahankali , Yihang Sun

Many applications require sparse neural networks due to space or inference time restrictions. There is a large body of work on training dense networks to yield sparse networks for inference, but this limits the size of the largest trainable…

Machine Learning · Computer Science 2021-07-26 Utku Evci , Trevor Gale , Jacob Menick , Pablo Samuel Castro , Erich Elsen

We present a simple linear regression based approach for learning the weights and biases of a neural network, as an alternative to standard gradient based backpropagation. The present work is exploratory in nature, and we restrict the…

Machine Learning · Computer Science 2023-07-17 Harshad Khadilkar