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Studying the properties of stochastic noise to optimize complex non-convex functions has been an active area of research in the field of machine learning. Prior work has shown that the noise of stochastic gradient descent improves…

最优化与控制 · 数学 2022-09-20 Aurelien Lucchi , Frank Proske , Antonio Orvieto , Francis Bach , Hans Kersting

In this paper, we introduce "Power Linear Unit" (PoLU) which increases the nonlinearity capacity of a neural network and thus helps improving its performance. PoLU adopts several advantages of previously proposed activation functions.…

机器学习 · 计算机科学 2018-02-02 Yikang Li , Pak Lun Kevin Ding , Baoxin Li

Nonlinear optimization methods are typically iterative and make use of gradient information to determine a direction of improvement and function information to effectively check for progress. When this information is corrupted by noise,…

最优化与控制 · 数学 2025-10-21 Albert S. Berahas , Michael J. O'Neill , Clément W. Royer

Humans can learn several tasks in succession with minimal mutual interference but perform more poorly when trained on multiple tasks at once. The opposite is true for standard deep neural networks. Here, we propose novel computational…

神经元与认知 · 定量生物学 2022-09-07 Timo Flesch , David G. Nagy , Andrew Saxe , Christopher Summerfield

We analyze transport on a graph with multiple constraints and where the weight of the edges connecting the nodes is a dynamical variable. The network dynamics results from the interplay between a nonlinear function of the flow, dissipation,…

统计力学 · 物理学 2023-11-28 Frederic Folz , Kurt Mehlhorn , Giovanna Morigi

Spiking Neural Networks (SNNs) have emerged with promising energy-efficient property, yet a substantial performance gap persists compared to Artificial Neural Networks (ANNs). This gap stems from at least two key limitations: first,…

神经与进化计算 · 计算机科学 2026-05-28 Feifan Zhou , Xiang Wei , Yang Liu , Qiang Yu

The weight initialization and the activation function of deep neural networks have a crucial impact on the performance of the training procedure. An inappropriate selection can lead to the loss of information of the input during forward…

机器学习 · 统计学 2018-10-09 Soufiane Hayou , Arnaud Doucet , Judith Rousseau

Activation functions are crucial for deep neural networks. This novel work frames the problem of training neural network with learnable polynomial activation functions as a polynomial optimization problem, which is solvable by the…

最优化与控制 · 数学 2025-10-07 Linghao Zhang , Jiawang Nie , Tingting Tang

Today's most powerful machine learning approaches are typically designed to train stateless architectures with predefined layers and differentiable activation functions. While these approaches have led to unprecedented successes in areas…

机器学习 · 计算机科学 2023-12-25 Alexander Grushin

Field-Programmable Gate Array (FPGA) accelerators have proven successful in handling latency- and resource-critical deep neural network (DNN) inference tasks. Among the most computationally intensive operations in a neural network (NN) is…

硬件体系结构 · 计算机科学 2024-12-10 Marta Andronic , George A. Constantinides

Many neural network architectures rely on the choice of the activation function for each hidden layer. Given the activation function, the neural network is trained over the bias and the weight parameters. The bias catches the center of the…

机器学习 · 计算机科学 2019-10-01 Farnoush Farhadi , Vahid Partovi Nia , Andrea Lodi

Spiking Neural Networks (SNNs) and neuromorphic computing offer bio-inspired advantages such as sparsity and ultra-low power consumption, providing a promising alternative to conventional networks. However, training deep SNNs from scratch…

计算机视觉与模式识别 · 计算机科学 2025-05-21 Aurora Micheli , Olaf Booij , Jan van Gemert , Nergis Tömen

To enhance the nonlinearity of neural networks and increase their mapping abilities between the inputs and response variables, activation functions play a crucial role to model more complex relationships and patterns in the data. In this…

计算机视觉与模式识别 · 计算机科学 2021-12-20 Haigen Hu , Aizhu Liu , Qiu Guan , Xiaoxin Li , Shengyong Chen , Qianwei Zhou

The Spiking Neural Network (SNN) is a biologically inspired neural network infrastructure that has recently garnered significant attention. It utilizes binary spike activations to transmit information, thereby replacing multiplications with…

计算机视觉与模式识别 · 计算机科学 2024-10-01 Yufei Guo , Yuanpei Chen , Zecheng Hao , Weihang Peng , Zhou Jie , Yuhan Zhang , Xiaode Liu , Zhe Ma

Neural plasticity is an important functionality of human brain, in which number of neurons and synapses can shrink or expand in response to stimuli throughout the span of life. We model this dynamic learning process as an $L_0$-norm…

神经与进化计算 · 计算机科学 2021-05-04 Yang Li , Shihao Ji

We perform an empirical study of the behaviour of deep networks when fully linearizing some of its feature channels through a sparsity prior on the overall number of nonlinear units in the network. In experiments on image classification and…

机器学习 · 计算机科学 2023-06-02 Christian H. X. Ali Mehmeti-Göpel , Jan Disselhoff

Spiking neural networks are nature's versatile solution to fault-tolerant and energy efficient signal processing. To translate these benefits into hardware, a growing number of neuromorphic spiking neural network processors attempt to…

神经与进化计算 · 计算机科学 2019-05-06 Emre O. Neftci , Hesham Mostafa , Friedemann Zenke

In independent, identically distributed (i.i.d.) training regimes, activation functions have been benchmarked extensively, and their differences often shrink once model size and optimization are tuned. In continual learning, however, the…

机器学习 · 计算机科学 2026-05-01 Lute Lillo , Nick Cheney

Catastrophic forgetting has remained a significant challenge for efficient reinforcement learning for decades (Ring 1994, Rivest and Precup 2003). While recent works have proposed effective methods to mitigate this issue, they mainly focus…

机器学习 · 计算机科学 2025-09-24 Qingfeng Lan , Gautham Vasan , A. Rupam Mahmood

The use of low-bit quantization has emerged as an indispensable technique for enabling the efficient training of large-scale models. Despite its widespread empirical success, a rigorous theoretical understanding of its impact on learning…

机器学习 · 统计学 2026-02-17 Dechen Zhang , Junwei Su , Difan Zou