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System identification techniques -- projection pursuit regression models (PPRs) and convolutional neural networks (CNNs) -- provide state-of-the-art performance in predicting visual cortical neurons' responses to arbitrary input stimuli.…

定量方法 · 定量生物学 2021-10-04 Ziniu Wu , Harold Rockwell , Yimeng Zhang , Shiming Tang , Tai Sing Lee

In this article, a correlation metric $\kappa_C$ is proposed for the inference of the dynamical state of neuronal networks. $\kappa_C$ is computed from the scaling of the correlation length with the size of the observation region, which…

Phase retrieval (PR) is a popular research topic in signal processing and machine learning. However, its performance degrades significantly when the measurements are corrupted by noise or outliers. To address this limitation, we propose a…

最优化与控制 · 数学 2025-05-30 Jun Fan , Ailing Yan , Xianchao Xiu , Wanquan Liu

Accurate statistical models of neural spike responses can characterize the information carried by neural populations. But the limited samples of spike counts during recording usually result in model overfitting. Besides, current models…

定量方法 · 定量生物学 2021-06-17 Qi She , Xiaoli Wu , Beth Jelfs , Adam S. Charles , Rosa H. M. Chan

A main concern in cognitive neuroscience is to decode the overt neural spike train observations and infer latent representations under neural circuits. However, traditional methods entail strong prior on network structure and hardly meet…

神经元与认知 · 定量生物学 2019-11-22 Zhijie Chen , Junchi Yan , Longyuan Li , Xiaokang Yang

We analyze the dynamics of networks of spiking neural oscillators. First, we present an exact linear stability theory of the synchronous state for networks of arbitrary connectivity. For general neuron rise functions, stability is…

神经元与认知 · 定量生物学 2009-11-11 Marc Timme , Theo Geisel , Fred Wolf

The theta rhythm is important for many cognitive functions including spatial processing, memory encoding, and memory recall. The information processing underlying these functions is thought to rely on consistent, phase-specific spiking…

神经元与认知 · 定量生物学 2025-10-16 Oleg Makarenkov , Marianne Bezaire , Michael Hasselmo

For energy-efficient computation in specialized neuromorphic hardware, we present spiking neural coding, an instantiation of a family of artificial neural models grounded in the theory of predictive coding. This model, the first of its…

神经与进化计算 · 计算机科学 2022-08-09 Alexander Ororbia

For a system of globally pulse-coupled phase-oscillators, we derive conditions for stability of the completely synchronous state and all possible two-cluster states and explain how the different states are naturally connected via…

适应与自组织系统 · 物理学 2015-05-27 Leonhard Lücken , Serhiy Yanchuk

We are interested in characterization of population synchronization of bursting neurons which exhibit both the slow bursting and the fast spiking timescales, in contrast to spiking neurons. Population synchronization may be well visualized…

神经元与认知 · 定量生物学 2014-10-07 Sang-Yoon Kim , Woochang Lim

Predictive coding (PC) is an influential theory in computational neuroscience, which argues that the cortex forms unsupervised world models by implementing a hierarchical process of prediction error minimization. PC networks (PCNs) are…

神经与进化计算 · 计算机科学 2022-08-05 Beren Millidge , Yuhang Song , Tommaso Salvatori , Thomas Lukasiewicz , Rafal Bogacz

The spiking activity of single neurons can be well described by a nonlinear integrate-and-fire model that includes somatic adaptation. When exposed to fluctuating inputs sparsely coupled populations of these model neurons exhibit stochastic…

神经元与认知 · 定量生物学 2017-07-20 Moritz Augustin , Josef Ladenbauer , Fabian Baumann , Klaus Obermayer

Consumers with low demand, like households, are generally supplied single-phase power by connecting their service mains to one of the phases of a distribution transformer. The distribution companies face the problem of keeping a record of…

机器学习 · 计算机科学 2016-06-08 P Satya Jayadev , Aravind Rajeswaran , Nirav P Bhatt , Ramkrishna Pasumarthy

We study the stochastic dynamics of strongly-coupled excitable elements on a tree network. The peripheral nodes receive independent random inputs which may induce large spiking events propagating through the branches of the tree and leading…

生物物理 · 物理学 2017-07-14 Justus Kromer , Ali Khaledi-Nasab , Lutz Schimansky-Geier , Alexander B. Neiman

Regular and stochastic behavior in the time series of Parkinsonian pathological tremor velocity is studied on the basis of the statistical theory of discrete non-Markov stochastic processes and flicker-noise spectroscopy. We have developed…

One major challenge in neuroscience is the identification of interrelations between signals reflecting neural activity and how information processing occurs in the neural circuits. At the cellular and molecular level, mechanisms of signal…

应用统计 · 统计学 2019-09-27 Giacomo Aletti , Davide Lonardoni , Giovanni Naldi , Thierry Nieus

Model predictive control (MPC) is a method to formulate the optimal scheduling problem for grid flexibilities in a mathematical manner. The resulting time-constrained optimization problem can be re-solved in each optimization time step…

系统与控制 · 电气工程与系统科学 2021-08-20 Steven de Jongh , Sina Steinle , Anna Hlawatsch , Felicitas Mueller , Michael Suriyah , Thomas Leibfried

Neural oscillations can enhance feature recognition, modulate interactions between neurons, and improve learning and memory. Simulational studies have shown that coherent oscillations give rise to windows in time during which information…

神经元与认知 · 定量生物学 2014-10-07 Andrew T. Sornborger , Louis Tao

We address the questions of identifying pairs of interacting neurons from the observation of their spiking activity. The neuronal network is modeled by a system of interacting point processes with memory of variable length. The influence of…

统计理论 · 数学 2021-06-22 Emilio De Santis , Antonio Galves , Giovanna Nappo , Mauro Piccioni