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Bilevel optimization has been recently revisited for designing and analyzing algorithms in hyperparameter tuning and meta learning tasks. However, due to its nested structure, evaluating exact gradients for high-dimensional problems is…

机器学习 · 计算机科学 2019-04-09 Amirreza Shaban , Ching-An Cheng , Nathan Hatch , Byron Boots

Neural network training relies on gradient computation through backpropagation, yet memory requirements for storing layer activations present significant scalability challenges. We present the first adaptation of control-theoretic matrix…

机器学习 · 计算机科学 2025-10-02 Harbir Antil , Deepanshu Verma

Brains remain unrivaled in their ability to recognize and generate complex spatiotemporal patterns. While AI is able to reproduce some of these capabilities, deep learning algorithms remain largely at odds with our current understanding of…

神经元与认知 · 定量生物学 2026-03-13 Simon Brandt , Paul Haider , Walter Senn , Federico Benitez , Mihai A. Petrovici

Autoregressive (AR) models remain widely used in time series analysis due to their interpretability, but convencional parameter estimation methods can be computationally expensive and prone to convergence issues. This paper proposes a…

机器学习 · 统计学 2026-03-20 Anaísa Lucena , Ana Martins , Armando J. Pinho , Sónia Gouveia

In modern neural networks like Transformers, linear layers require significant memory to store activations during backward pass. This study proposes a memory reduction approach to perform backpropagation through linear layers. Since the…

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…

机器学习 · 计算机科学 2025-10-07 Li Ji-An , Marcus K. Benna

Artificial neural networks, one of the most successful approaches to supervised learning, were originally inspired by their biological counterparts. However, the most successful learning algorithm for artificial neural networks,…

机器学习 · 计算机科学 2020-06-18 Matilde Tristany Farinha , Sérgio Pequito , Pedro A. Santos , Mário A. T. Figueiredo

Deep artificial neural networks (DNNs) are typically trained via gradient-based learning algorithms, namely backpropagation. Evolution strategies (ES) can rival backprop-based algorithms such as Q-learning and policy gradients on…

神经与进化计算 · 计算机科学 2018-04-24 Felipe Petroski Such , Vashisht Madhavan , Edoardo Conti , Joel Lehman , Kenneth O. Stanley , Jeff Clune

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…

机器学习 · 计算机科学 2021-06-11 Swaroop Mishra , Anjana Arunkumar

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…

机器学习 · 计算机科学 2023-07-17 Harshad Khadilkar

In this paper, we aim at providing an introduction to the gradient descent based optimization algorithms for learning deep neural network models. Deep learning models involving multiple nonlinear projection layers are very challenging to…

机器学习 · 计算机科学 2019-03-12 Jiawei Zhang

Developing strong AI signifies the arrival of technological singularity, contributing greatly to advancing human civilization and resolving social issues. Neural networks (NNs) and deep learning, which utilize NNs, are expected to lead to…

机器学习 · 计算机科学 2024-09-09 Kei Itoh

Back-propagation algorithm is one of the most widely used and popular techniques to optimize the feed forward neural network training. Nature inspired meta-heuristic algorithms also provide derivative-free solution to optimize complex…

神经与进化计算 · 计算机科学 2012-09-13 Sudarshan Nandy , Partha Pratim Sarkar , Achintya Das

Automatic differentiation frameworks are optimized for exactly one thing: computing the average mini-batch gradient. Yet, other quantities such as the variance of the mini-batch gradients or many approximations to the Hessian can, in…

机器学习 · 计算机科学 2020-02-18 Felix Dangel , Frederik Kunstner , Philipp Hennig

Stochastic gradient descent (SGD) has achieved great success in training deep neural network, where the gradient is computed through back-propagation. However, the back-propagated values of different layers vary dramatically. This…

机器学习 · 统计学 2018-02-28 Huishuai Zhang , Wei Chen , Tie-Yan Liu

Different activation functions work best for different deep learning models. To exploit this, we leverage recent advancements in gradient-based search techniques for neural architectures to efficiently identify high-performing activation…

机器学习 · 计算机科学 2024-08-14 Lukas Strack , Mahmoud Safari , Frank Hutter

The brain cortex, which processes visual, auditory and sensory data in the brain, is known to have many recurrent connections within its layers and from higher to lower layers. But, in the case of machine learning with neural networks, it…

机器学习 · 计算机科学 2020-10-22 Sebastian Sanokowski

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…

机器学习 · 计算机科学 2019-08-30 Dmitry Krotov , John Hopfield

This research is to search for alternatives to the resolution of complex medical diagnosis where human knowledge should be apprehended in a general fashion. Successful application examples show that human diagnostic capabilities are…

神经与进化计算 · 计算机科学 2010-09-28 Abu Bakar Siddiquee , Md. Ehsanul Hoque Mazumder , S. M. Kamruzzaman

We propose an active learning algorithm for linear system identification with optimal centered noise excitation. Notably, our algorithm, based on ordinary least squares and semidefinite programming, attains the minimal sample complexity…

最优化与控制 · 数学 2026-04-08 Kaito Ito , Alexandre Proutiere