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It is widely believed that the backpropagation algorithm is essential for learning good feature detectors in early layers of artificial neural networks, so that these detectors are useful for the task performed by the higher layers of that…

Machine Learning · Computer Science 2019-08-30 Dmitry Krotov , John Hopfield

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

Gradient descent and backpropagation have enabled neural networks to achieve remarkable results in many real-world applications. Despite ongoing success, training a neural network with gradient descent can be a slow and strenuous affair. We…

Machine Learning · Computer Science 2020-11-19 Varun Ranganathan , Alex Lewandowski

Significant success has been reported recently using deep neural networks for classification. Such large networks can be computationally intensive, even after training is over. Implementing these trained networks in hardware chips with a…

Machine Learning · Statistics 2013-10-25 Daniel Soudry , Ron Meir

While current deep learning algorithms have been successful for a wide variety of artificial intelligence (AI) tasks, including those involving structured image data, they present deep neurophysiological conceptual issues due to their…

Neural and Evolutionary Computing · Computer Science 2023-11-07 Timothy Zee , Alexander G. Ororbia , Ankur Mali , Ifeoma Nwogu

We introduce backdrop, a flexible and simple-to-implement method, intuitively described as dropout acting only along the backpropagation pipeline. Backdrop is implemented via one or more masking layers which are inserted at specific points…

Machine Learning · Statistics 2018-06-06 Siavash Golkar , Kyle Cranmer

The ubiquitous backpropagation algorithm requires sequential updates through the network introducing a locking problem. In addition, back-propagation relies on the transpose of forward weight matrices to compute updates, introducing a…

Machine Learning · Computer Science 2023-10-31 David Kappel , Khaleelulla Khan Nazeer , Cabrel Teguemne Fokam , Christian Mayr , Anand Subramoney

Many optimization problems require balancing multiple conflicting objectives. As gradient descent is limited to single-objective optimization, we introduce its direct generalization: Jacobian descent (JD). This algorithm iteratively updates…

Machine Learning · Computer Science 2025-02-04 Pierre Quinton , Valérian Rey

How can neural networks be trained on large-volume temporal data efficiently? To compute the gradients required to update parameters, backpropagation blocks computations until the forward and backward passes are completed. For temporal…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Mateusz Malinowski , Dimitrios Vytiniotis , Grzegorz Swirszcz , Viorica Patraucean , Joao Carreira

Recurrent neural networks are a successful neural architecture for many time-dependent problems, including time series analysis, forecasting, and modeling of dynamical systems. Training such networks with backpropagation through time is a…

Machine Learning · Computer Science 2025-01-30 Erik Lien Bolager , Ana Cukarska , Iryna Burak , Zahra Monfared , Felix Dietrich

Backpropagation is the core learning mechanism underlying deep learning. However, whether and how this algorithm is implemented in the brain remains highly debated. In particular, while forward activations of pretrained models reliably map…

Backpropagation, the cornerstone of deep learning, is limited to computing gradients for continuous variables. This limitation poses challenges for problems involving discrete latent variables. To address this issue, we propose a novel…

Machine Learning · Computer Science 2023-10-17 Liyuan Liu , Chengyu Dong , Xiaodong Liu , Bin Yu , Jianfeng Gao

Neural networks have been able to achieve groundbreaking accuracy at tasks conventionally considered only doable by humans. Using stochastic gradient descent, optimization in many dimensions is made possible, albeit at a relatively high…

Machine Learning · Computer Science 2017-07-17 Hirsh R. Agarwal , Andrew Huang

Training neural networks with reinforcement learning (RL) typically relies on backpropagation (BP), necessitating storage of activations from the forward pass for subsequent backward updates. Furthermore, backpropagating error signals…

Machine Learning · Computer Science 2025-07-16 Daniel Tanneberg

We propose a simple yet effective technique for neural network learning. The forward propagation is computed as usual. In back propagation, only a small subset of the full gradient is computed to update the model parameters. The gradient…

Machine Learning · Computer Science 2019-03-12 Xu Sun , Xuancheng Ren , Shuming Ma , Houfeng Wang

We introduce the "NoBackTrack" algorithm to train the parameters of dynamical systems such as recurrent neural networks. This algorithm works in an online, memoryless setting, thus requiring no backpropagation through time, and is scalable,…

Neural and Evolutionary Computing · Computer Science 2015-11-24 Yann Ollivier , Corentin Tallec , Guillaume Charpiat

After the tremendous development of neural networks trained by backpropagation, it is a good time to develop other algorithms for training neural networks to gain more insights into networks. In this paper, we propose a new algorithm for…

Machine Learning · Computer Science 2020-07-01 Benyamin Ghojogh , Fakhri Karray , Mark Crowley

Recently, several studies proposed methods to utilize some classes of optimization problems in designing deep neural networks to encode constraints that conventional layers cannot capture. However, these methods are still in their infancy…

Machine Learning · Computer Science 2020-06-16 Younghan Jeon , Minsik Lee , Jin Young Choi

Regressing rotations on SO(3) manifold using deep neural networks is an important yet unsolved problem. The gap between the Euclidean network output space and the non-Euclidean SO(3) manifold imposes a severe challenge for neural network…

Computer Vision and Pattern Recognition · Computer Science 2022-03-31 Jiayi Chen , Yingda Yin , Tolga Birdal , Baoquan Chen , Leonidas Guibas , He Wang

Deep neural networks typically learn spatially entangled representations that conflate discriminative foreground features with spurious background correlations, thereby undermining model interpretability and robustness. We propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 Kaixiang Shu , Kai Meng , Junqin Luo