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Sparse coding algorithms are about finding a linear basis in which signals can be represented by a small number of active (non-zero) coefficients. Such coding has many applications in science and engineering and is believed to play an…

神经与进化计算 · 计算机科学 2016-08-14 András Lőrincz , Zsolt Palotai , Gábor Szirtes

We propose a version of least-mean-square (LMS) algorithm for sparse system identification. Our algorithm called online linearized Bregman iteration (OLBI) is derived from minimizing the cumulative prediction error squared along with an…

信息论 · 计算机科学 2012-10-03 Tao Hu , Dmitri B. Chklovskii

Spiking Neural Networks (SNNs) offer an energy efficient alternative to conventional Artificial Neural Networks (ANNs) but typically still require a large number of parameters. This work introduces Linearized Bregman Iterations (LBI) as an…

信号处理 · 电气工程与系统科学 2026-03-18 Daniel Windhager , Bernhard A. Moser , Michael Lunglmayr

We describe a stochastic, dynamical system capable of inference and learning in a probabilistic latent variable model. The most challenging problem in such models - sampling the posterior distribution over latent variables - is proposed to…

We introduce a dynamic sparse training algorithm based on linearized Bregman iterations / mirror descent that exploits the naturally incurred sparsity by alternating between periods of static and dynamic sparsity pattern updates. The key…

机器学习 · 计算机科学 2026-05-19 Yannick Lunk , Sebastian J. Scott , Leon Bungert

Spike sorting is a crucial step in decoding multichannel extracellular neural signals, enabling the identification of individual neuronal activity. A key challenge in brain-machine interfaces (BMIs) is achieving real-time, low-power spike…

神经与进化计算 · 计算机科学 2025-07-01 Alexis Melot , Sean U. N. Wood , Yannick Coffinier , Pierre Yger , Fabien Alibart

Sparsity is a desirable attribute. It can lead to more efficient and more effective representations compared to the dense model. Meanwhile, learning sparse latent representations has been a challenging problem in the field of computer…

计算机视觉与模式识别 · 计算机科学 2022-09-22 Hanao Li , Tian Han

Time-varying systems are a challenge in many scientific and engineering areas. Usually, estimation of time-varying parameters or signals must be performed online, which calls for the development of responsive online algorithms. In this…

最优化与控制 · 数学 2018-09-10 Sophie M. Fosson

The computation performed by a neuron can be formulated as a combination of dimensional reduction in stimulus space and the nonlinearity inherent in a spiking output. White noise stimulus and reverse correlation (the spike-triggered average…

生物物理 · 物理学 2007-05-23 Blaise Aguera y Arcas , Adrienne Fairhall

The representation of images in the brain is known to be sparse. That is, as neural activity is recorded in a visual area ---for instance the primary visual cortex of primates--- only a few neurons are active at a given time with respect to…

计算机视觉与模式识别 · 计算机科学 2017-01-25 Laurent Perrinet

Online sparse linear regression is an online problem where an algorithm repeatedly chooses a subset of coordinates to observe in an adversarially chosen feature vector, makes a real-valued prediction, receives the true label, and incurs the…

机器学习 · 计算机科学 2020-07-27 Satyen Kale , Zohar Karnin , Tengyuan Liang , Dávid Pál

The sparse coding algorithm has served as a model for early processing in mammalian vision. It has been assumed that the brain uses sparse coding to exploit statistical properties of the sensory stream. We hypothesize that sparse coding…

计算机视觉与模式识别 · 计算机科学 2021-01-28 Gerrit A. Ecke , Harald M. Papp , Hanspeter A. Mallot

Sparse sensor placement is a central challenge in the efficient characterization of complex systems when the cost of acquiring and processing data is high. Leading sparse sensing methods typically exploit either spatial or temporal…

最优化与控制 · 数学 2022-06-08 Thomas L. Mohren , Thomas L. Daniel , Steven L. Brunton , Bingni W. Brunton

The development of online algorithms to track time-varying systems has drawn a lot of attention in the last years, in particular in the framework of online convex optimization. Meanwhile, sparse time-varying optimization has emerged as a…

最优化与控制 · 数学 2020-02-03 Sophie M. Fosson

We investigate the sparse functional identification of complex cells and the decoding of visual stimuli encoded by an ensemble of complex cells. The reconstruction algorithm of both temporal and spatio-temporal stimuli is formulated as a…

神经元与认知 · 定量生物学 2017-06-20 Aurel A. Lazar , Nikul H. Ukani , Yiyin Zhou

Achieving fast and reliable temporal signal encoding is crucial for low-power, always-on systems. While current spike-based encoding algorithms rely on complex networks or precise timing references, simple and robust encoding models can be…

神经与进化计算 · 计算机科学 2025-04-23 Filippo Costa , Chiara De Luca

This paper proposes a novel Stochastic Split Linearized Bregman Iteration ($S^{2}$-LBI) algorithm to efficiently train the deep network. The $S^{2}$-LBI introduces an iterative regularization path with structural sparsity. Our $S^{2}$-LBI…

机器学习 · 统计学 2019-04-25 Yanwei Fu , Donghao Li , Xinwei Sun , Shun Zhang , Yizhou Wang , Yuan Yao

If modern computers are sometimes superior to humans in some specialized tasks such as playing chess or browsing a large database, they can't beat the efficiency of biological vision for such simple tasks as recognizing and following an…

神经元与认知 · 定量生物学 2009-11-13 Laurent Perrinet

Sparsity-based methods are widely used in machine learning, statistics, and signal processing. There is now a rich class of structured sparsity approaches that expand the modeling power of the sparsity paradigm and incorporate constraints…

数据结构与算法 · 计算机科学 2017-12-22 Aleksander Mądry , Slobodan Mitrović , Ludwig Schmidt

Deep latent generative models have attracted increasing attention due to the capacity of combining the strengths of deep learning and probabilistic models in an elegant way. The data representations learned with the models are often…

机器学习 · 计算机科学 2023-04-04 Zhao Xu , Daniel Onoro Rubio , Giuseppe Serra , Mathias Niepert
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