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Integrated photonic neural networks (PNNs) have demonstrated significant potential to complement the digital electronic counterparts [1-3]. Nevertheless, robust and repeatable performance of scalable integrated PNNs is directly tied to the…

Optics · Physics 2025-06-18 Farshid Ashtiani , Mohamad Hossein Idjadi , Kwangwoong Kim

In a physical neural system, learning rules must be local both in space and time. In order for learning to occur, non-local information must be communicated to the deep synapses through a communication channel, the deep learning channel. We…

Neural and Evolutionary Computing · Computer Science 2017-12-25 Pierre Baldi , Peter Sadowski , Zhiqin Lu

Recent approximations to backpropagation (BP) have mitigated many of BP's computational inefficiencies and incompatibilities with biology, but important limitations still remain. Moreover, the approximations significantly decrease accuracy…

Neural and Evolutionary Computing · Computer Science 2023-08-04 Adrien Journé , Hector Garcia Rodriguez , Qinghai Guo , Timoleon Moraitis

Backpropagation is the cornerstone of deep learning, but its reliance on symmetric weight transport and global synchronization makes it computationally expensive and biologically implausible. Feedback alignment offers a promising…

Machine Learning · Computer Science 2025-05-28 Jeonghwan Cheon , Jaehyuk Bae , Se-Bum Paik

In many classification problems a classifier should be robust to small variations in the input vector. This is a desired property not only for particular transformations, such as translation and rotation in image classification problems,…

Machine Learning · Statistics 2016-01-18 Sergey Demyanov , James Bailey , Ramamohanarao Kotagiri , Christopher Leckie

The artificial neural network is a popular framework in machine learning. To empower individual neurons, we recently suggested that the current type of neurons could be upgraded to 2nd order counterparts, in which the linear operation…

Machine Learning · Computer Science 2017-08-22 Fenglei Fan , Wenxiang Cong , Ge Wang

Compared to Multilayer Neural Networks with real weights, Binary Multilayer Neural Networks (BMNNs) can be implemented more efficiently on dedicated hardware. BMNNs have been demonstrated to be effective on binary classification tasks with…

Neural and Evolutionary Computing · Computer Science 2015-03-24 Zhiyong Cheng , Daniel Soudry , Zexi Mao , Zhenzhong Lan

In a physical neural system, backpropagation is faced with a number of obstacles including: the need for labeled data, the violation of the locality learning principle, the need for symmetric connections, and the lack of modularity.…

Machine Learning · Computer Science 2021-07-23 Mohammadamin Tavakoli , Peter Sadowski , Pierre Baldi

Artificial neural networks are most commonly trained with the back-propagation algorithm, where the gradient for learning is provided by back-propagating the error, layer by layer, from the output layer to the hidden layers. A recently…

Machine Learning · Statistics 2016-12-22 Arild Nøkland

Bio-inspired neural networks are attractive for their adversarial robustness, energy frugality, and closer alignment with cortical physiology, yet they often lag behind back-propagation (BP) based models in accuracy and ability to scale. We…

Neural and Evolutionary Computing · Computer Science 2025-07-21 Imane Hamzaoui , Riyadh Baghdadi

Gradient descent computed by backpropagation (BP) is a widely used learning method for training artificial neural networks but has several limitations: it is computationally demanding, requires frequent manual tuning of the network…

Signal Processing · Electrical Eng. & Systems 2024-10-02 Jiaqi Xing , Libo Chen , ZeZheng Zhang , Mohammed Nazibul Hasan , Zhi-Bin Zhang

Many attempts took place to improve the adaptive filters that can also be useful to improve backpropagation (BP). Normalized least mean squares (NLMS) is one of the most successful algorithms derived from Least mean squares (LMS). However,…

Machine Learning · Computer Science 2021-01-05 Naeem Paeedeh , Kamaledin Ghiasi-Shirazi

Reducing energy consumption has become a pressing need for modern machine learning, which has achieved many of its most impressive results by scaling to larger and more energy-consumptive neural networks. Unfortunately, the main algorithm…

Machine Learning · Computer Science 2025-07-10 Risi Jaiswal , Supriyo Datta , Joseph G. Makin

Despite being the workhorse of deep learning, the backpropagation algorithm is no panacea. It enforces sequential layer updates, thus preventing efficient parallelization of the training process. Furthermore, its biological plausibility is…

Machine Learning · Statistics 2021-02-18 Julien Launay , Iacopo Poli , François Boniface , Florent Krzakala

Predictive coding (PC) is a general theory of cortical function. The local, gradient-based learning rules found in one kind of PC model have recently been shown to closely approximate backpropagation. This finding suggests that this…

Neural and Evolutionary Computing · Computer Science 2021-12-09 Nick Alonso , Emre Neftci

Backpropagation of error (backprop) is a powerful algorithm for training machine learning architectures through end-to-end differentiation. However, backprop is often criticised for lacking biological plausibility. Recently, it has been…

Machine Learning · Computer Science 2020-10-07 Beren Millidge , Alexander Tschantz , Christopher L. Buckley

Despite extensive theoretical work on biologically plausible learning rules, clear evidence about whether and how such rules are implemented in the brain has been difficult to obtain. We consider biologically plausible supervised- and…

Neural and Evolutionary Computing · Computer Science 2022-10-18 Jacob P. Portes , Christian Schmid , James M. Murray

Artificial Neural Networks (ANNs) trained with Backpropagation (BP) excel in different daily tasks but have a dangerous vulnerability: inputs with small targeted perturbations, also known as adversarial samples, can drastically disrupt…

Machine Learning · Computer Science 2024-06-04 Matilde Tristany Farinha , Thomas Ortner , Giorgia Dellaferrera , Benjamin Grewe , Angeliki Pantazi

Attributions aim to identify input pixels that are relevant to the decision-making process. A popular approach involves using modified backpropagation (BP) rules to reverse decisions, which improves interpretability compared to the original…

Machine Learning · Computer Science 2025-03-17 Guanhua Zheng , Jitao Sang , Changsheng Xu

Bayesian neural networks (BNNs) demonstrate promising success in improving the robustness and uncertainty quantification of modern deep learning. However, they generally struggle with underfitting at scale and parameter efficiency. On the…

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