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We present a weight similarity measure method that can quantify the weight similarity of non-convex neural networks. To understand the weight similarity of different trained models, we propose to extract the feature representation from the…

Machine Learning · Computer Science 2022-08-10 Guangcong Wang , Guangrun Wang , Wenqi Liang , Jianhuang Lai

Convolutional networks are ubiquitous in deep learning. They are particularly useful for images, as they reduce the number of parameters, reduce training time, and increase accuracy. However, as a model of the brain they are seriously…

Machine Learning · Computer Science 2022-01-19 Roman Pogodin , Yash Mehta , Timothy P. Lillicrap , Peter E. Latham

A suitable similarity index for comparing learnt neural networks plays an important role in understanding the behaviour of the highly-nonlinear functions, and can provide insights on further theoretical analysis and empirical studies. We…

Machine Learning · Computer Science 2020-03-26 Shuai Tang , Wesley J. Maddox , Charlie Dickens , Tom Diethe , Andreas Damianou

Recurrent Neural Networks (RNNs) are frequently used to model aspects of brain function and structure. In this work, we trained small fully-connected RNNs to perform temporal and flow control tasks with time-varying stimuli. Our results…

Neurons and Cognition · Quantitative Biology 2023-06-29 Cecilia Jarne , Rodrigo Laje

As modern deep learning architectures grow in complexity, representational ambiguity emerges as a critical barrier to their interpretability and reliable merging. For ReLU networks, identical functional mappings can be achieved through…

Machine Learning · Computer Science 2026-04-21 Kutomanov Hennadii

Comparing different neural network representations and determining how representations evolve over time remain challenging open questions in our understanding of the function of neural networks. Comparing representations in neural networks…

Machine Learning · Statistics 2018-10-25 Ari S. Morcos , Maithra Raghu , Samy Bengio

Measuring similarity of neural networks to understand and improve their behavior has become an issue of great importance and research interest. In this survey, we provide a comprehensive overview of two complementary perspectives of…

Machine Learning · Computer Science 2025-05-22 Max Klabunde , Tobias Schumacher , Markus Strohmaier , Florian Lemmerich

We propose to test, and when possible establish, an equivalence between two different artificial neural networks by attempting to construct a data-driven transformation between them, using manifold-learning techniques. In particular, we…

Machine Learning · Computer Science 2021-01-15 Tom Bertalan , Felix Dietrich , Ioannis G. Kevrekidis

Optical neural networks are emerging as a promising type of machine learning hardware capable of energy-efficient, parallel computation. Today's optical neural networks are mainly developed to perform optical inference after in silico…

Machine Learning · Computer Science 2022-05-30 James Spall , Xianxin Guo , A. I. Lvovsky

Graph theoretical approach has proved an effective tool to understand, characterize and quantify the complex brain network. However, much less attention has been paid to methods that quantitatively compare two graphs, a crucial issue in the…

Neurons and Cognition · Quantitative Biology 2019-08-29 Ahmad Mheich , Fabrice Wendling , Mahmoud Hassan

Image-language matching tasks have recently attracted a lot of attention in the computer vision field. These tasks include image-sentence matching, i.e., given an image query, retrieving relevant sentences and vice versa, and region-phrase…

Computer Vision and Pattern Recognition · Computer Science 2018-05-03 Liwei Wang , Yin Li , Jing Huang , Svetlana Lazebnik

Studying the sensitivity of weight perturbation in neural networks and its impacts on model performance, including generalization and robustness, is an active research topic due to its implications on a wide range of machine learning tasks…

Machine Learning · Computer Science 2021-12-20 Yu-Lin Tsai , Chia-Yi Hsu , Chia-Mu Yu , Pin-Yu Chen

Despite impressive performance on numerous visual tasks, Convolutional Neural Networks (CNNs) --- unlike brains --- are often highly sensitive to small perturbations of their input, e.g. adversarial noise leading to erroneous decisions. We…

We consider artificial neurons which will update their weight coefficients with an internal rule based on backpropagation, rather than using it as an external training procedure. To achieve this we include the backpropagation error estimate…

Neural and Evolutionary Computing · Computer Science 2018-08-07 M. N. Nazarov

This work proposes a novel solution to the problem of internal covariate shift and dying neurons using the concept of linked neurons. We define the neuron linkage in terms of two constraints: first, all neuron activations in the linkage…

Machine Learning · Statistics 2017-12-08 Carles Roger Riera Molina , Oriol Pujol Vila

Radial basis function (RBF) network is a third layered neural network that is widely used in function approximation and data classification. Here we propose a quantum model of the RBF network. Similar to the classical case, we still use the…

Quantum Physics · Physics 2020-11-04 Changpeng Shao

Due to their high degree of expressiveness, neural networks have recently been used as surrogate models for mapping inputs of an engineering system to outputs of interest. Once trained, neural networks are computationally inexpensive to…

Machine Learning · Statistics 2020-02-12 Subhayan De , Jolene Britton , Matthew Reynolds , Ryan Skinner , Kenneth Jansen , Alireza Doostan

In networks of independent entities that face similar predictive tasks, transfer machine learning enables to re-use and improve neural nets using distributed data sets without the exposure of raw data. As the number of data sets in business…

Machine Learning · Computer Science 2020-03-31 Robin Hirt , Akash Srivastava , Carlos Berg , Niklas Kühl

Understanding the complexity of biological neural networks like the human brain is one of the scientific challenges of our century. The organization of the brain can be described at different levels, ranging from small neural networks to…

Neurons and Cognition · Quantitative Biology 2018-05-23 Stefano De Blasi

We present a global algorithm for training multilayer neural networks in this Letter. The algorithm is focused on controlling the local fields of neurons induced by the input of samples by random adaptations of the synaptic weights. Unlike…

Biological Physics · Physics 2007-05-23 Hong Zhao , Tao Jin
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