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The advancement of deep convolutional neural networks (DCNNs) has driven significant improvement in the accuracy of recognition systems for many computer vision tasks. However, their practical applications are often restricted in…

Computer Vision and Pattern Recognition · Computer Science 2018-12-13 Jiaxin Gu , Ce Li , Baochang Zhang , Jungong Han , Xianbin Cao , Jianzhuang Liu , David Doermann

In this paper we present a novel algorithm to study the evolution of credit risk across complex multilayer networks. Pagerank-like algorithms allow for the propagation of an influence variable across single networks, and allow quantifying…

Social and Information Networks · Computer Science 2020-08-24 Cristián Bravo , María Óskarsdóttir

Decision Trees (DTs) are commonly used for many machine learning tasks due to their high degree of interpretability. However, learning a DT from data is a difficult optimization problem, as it is non-convex and non-differentiable.…

Machine Learning · Computer Science 2024-08-20 Sascha Marton , Stefan Lüdtke , Christian Bartelt , Heiner Stuckenschmidt

Supervised learning in artificial neural networks typically relies on backpropagation, where the weights are updated based on the error-function gradients and sequentially propagated from the output layer to the input layer. Although this…

Neural and Evolutionary Computing · Computer Science 2023-06-06 Giorgia Dellaferrera , Gabriel Kreiman

Training neural networks with discrete stochastic variables presents a unique challenge. Backpropagation is not directly applicable, nor are the reparameterization tricks used in networks with continuous stochastic variables. To address…

Machine Learning · Computer Science 2021-12-17 Kenny Young

Large multilayer neural networks trained with backpropagation have recently achieved state-of-the-art results in a wide range of problems. However, using backprop for neural net learning still has some disadvantages, e.g., having to tune a…

Machine Learning · Statistics 2015-07-16 José Miguel Hernández-Lobato , Ryan P. Adams

Deep Learning's outstanding track record across several domains has stemmed from the use of error backpropagation (BP). Several studies, however, have shown that it is impossible to execute BP in a real brain. Also, BP still serves as an…

Machine Learning · Computer Science 2021-06-11 Swaroop Mishra , Anjana Arunkumar

There is an increasing convergence between biologically plausible computational models of inference and learning with local update rules and the global gradient-based optimization of neural network models employed in machine learning. One…

Machine Learning · Computer Science 2021-11-16 Andre Ofner , Raihan Kabir Ratul , Suhita Ghosh , Sebastian Stober

Forward Gradients - the idea of using directional derivatives in forward differentiation mode - have recently been shown to be utilizable for neural network training while avoiding problems generally associated with backpropagation gradient…

Machine Learning · Computer Science 2023-06-13 Louis Fournier , Stéphane Rivaud , Eugene Belilovsky , Michael Eickenberg , Edouard Oyallon

In this paper we solve the problem: how to determine maximal allowable errors, possible for signals and parameters of each element of a network proceeding from the condition that the vector of output signals of the network should be…

Disordered Systems and Neural Networks · Physics 2022-05-18 M. Yu. Senashova , A. N. Gorban , D. C. Wunsch

Training convolutional neural network models is memory intensive since back-propagation requires storing activations of all intermediate layers. This presents a practical concern when seeking to deploy very deep architectures in production,…

Machine Learning · Computer Science 2019-10-30 Ayan Chakrabarti , Benjamin Moseley

The development of biologically-plausible learning algorithms is important for understanding learning in the brain, but most of them fail to scale-up to real-world tasks, limiting their potential as explanations for learning by real brains.…

Neural and Evolutionary Computing · Computer Science 2022-02-01 Maxence Ernoult , Fabrice Normandin , Abhinav Moudgil , Sean Spinney , Eugene Belilovsky , Irina Rish , Blake Richards , Yoshua Bengio

Neural networks are popular state-of-the-art models for many different tasks.They are often trained via back-propagation to find a value of the weights that correctly predicts the observed data. Although back-propagation has shown good…

Machine Learning · Statistics 2020-12-29 Simón Rodríguez Santana , Daniel Hernández-Lobato

This paper provides a comprehensive and detailed derivation of the backpropagation algorithm for graph convolutional neural networks using matrix calculus. The derivation is extended to include arbitrary element-wise activation functions…

Machine Learning · Computer Science 2024-08-05 Yen-Che Hsiao , Rongting Yue , Abhishek Dutta

Modern deep learning treats neural networks primarily as endpoint functions from inputs to outputs. Inspired by the shift from force to geometry in physics, we ask whether a network should instead be understood through the geometry of its…

Machine Learning · Computer Science 2026-05-12 Xingrui Gu

As neural networks grow deeper and wider, learning networks with hard-threshold activations is becoming increasingly important, both for network quantization, which can drastically reduce time and energy requirements, and for creating large…

Machine Learning · Computer Science 2018-04-18 Abram L. Friesen , Pedro Domingos

Back-propagation is a popular machine learning algorithm that uses gradient descent in training neural networks for supervised learning, but can be very slow. A number of algorithms have been developed to speed up convergence and improve…

Neural and Evolutionary Computing · Computer Science 2020-09-29 Ho Ling Li

The back-propagation algorithm has long been the de-facto standard in optimizing weights and biases in neural networks, particularly in cutting-edge deep learning models. Its widespread adoption in fields like natural language processing,…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Sidike Paheding , Abel A. Reyes-Angulo

A novel deep learning method for improving the belief propagation algorithm is proposed. The method generalizes the standard belief propagation algorithm by assigning weights to the edges of the Tanner graph. These edges are then trained…

Information Theory · Computer Science 2016-10-03 Eliya Nachmani , Yair Beery , David Burshtein

Backpropagation, a foundational algorithm for training artificial neural networks, predominates in contemporary deep learning. Although highly successful, it is widely considered biologically implausible, because it relies on precise…

Machine Learning · Computer Science 2025-10-07 Li Ji-An , Marcus K. Benna