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Stochastic simulation methods can be applied successfully to model exact spatio-temporally resolved reaction-diffusion systems. However, in many cases, these methods can quickly become extremely computationally intensive with increasing…

Quantitative Methods · Quantitative Biology 2016-04-29 Jonathan U. Harrison , Christian A. Yates

Self-organized criticality has been proposed to be a universal mechanism for the emergence of scale-free dynamics in many complex systems, and possibly in the brain. While such scale-free patterns were identified experimentally in many…

Neurons and Cognition · Quantitative Biology 2021-05-11 Roxana Zeraati , Viola Priesemann , Anna Levina

Precise spatio-temporal patterns of neuronal action potentials underly e.g. sensory representations and control of muscle activities. However, it is not known how the synaptic efficacies in the neuronal networks of the brain adapt such that…

Neurons and Cognition · Quantitative Biology 2015-02-24 Christian Albers , Maren Westkott , Klaus Pawelzik

This paper highlights new opportunities for designing large-scale machine learning systems as a consequence of blurring traditional boundaries that have allowed algorithm designers and application-level practitioners to stay -- for the most…

Machine Learning · Computer Science 2014-09-10 Suyog Gupta , Vikas Sindhwani , Kailash Gopalakrishnan

We address the reachability problem for continuous-time stochastic dynamic systems. Our objective is to present a unified framework that characterizes the reachable set of a dynamic system in the presence of both stochastic disturbances and…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Saber Jafarpour , Zishun Liu , Yongxin Chen

Neural circuits are able to perform computations under very diverse conditions and requirements. The required computations impose clear constraints on their fine-tuning: a rapid and maximally informative response to stimuli in general…

Neurons and Cognition · Quantitative Biology 2019-10-22 Jens Wilting , Jonas Dehning , Joao Pinheiro Neto , Lucas Rudelt , Michael Wibral , Johannes Zierenberg , Viola Priesemann

Biological neurons and their in-silico emulations for neuromorphic artificial intelligence (AI) use extraordinarily energy-efficient mechanisms, such as spike-based communication and local synaptic plasticity. It remains unclear whether…

Neural and Evolutionary Computing · Computer Science 2021-06-17 Timoleon Moraitis , Abu Sebastian , Evangelos Eleftheriou

In neuroscience, synaptic plasticity refers to the set of mechanisms driving the dynamics of neuronal connections, called synapses and represented by a scalar value, the synaptic weight. A Spike-Timing Dependent Plasticity (STDP) rule is a…

Probability · Mathematics 2021-11-17 Philippe Robert , Gaetan Vignoud

Spike-Timing Dependent Plasticity (STDP) is believed to play an important role in learning and the formation of computational function in the brain. The classical model of STDP which considers the timing between pairs of pre-synaptic and…

Neural and Evolutionary Computing · Computer Science 2013-03-21 Mostafa Rahimi Azghadi , Said Al-Sarawi , Nicolangelo Iannella , Derek Abbott

In this work, we propose time-integrated spike-timing-dependent plasticity (TI-STDP), a mathematical model of synaptic plasticity that allows spiking neural networks to continuously adapt to sensory input streams in an unsupervised fashion.…

Neurons and Cognition · Quantitative Biology 2024-07-16 William Gebhardt , Alexander G. Ororbia

Stochastic spiking neural networks based on nanoelectronic spin devices can be a possible pathway to achieving "brainlike" compact and energy-effcient cognitive intelligence. The computational model attempt to exploit the intrinsic device…

Emerging Technologies · Computer Science 2018-01-29 Chamika M. Liyanagedera , Abhronil Sengupta , Akhilesh Jaiswal , Kaushik Roy

The steady state reached by a system of particles sliding down a fluctuating surface has interesting properties. Particle clusters form and break rapidly, leading to a broad distribution of sizes and large fluctuations. The density-density…

Statistical Mechanics · Physics 2015-05-13 Apoorva Nagar , Mustansir Barma

In this work, we explore the robustness of a bit-flip operation against thermal and quantum noise for bits represented by the symmetry-broken pairs of the period-doubled (PD) states in a classical parametric oscillator and discrete time…

Quantum Physics · Physics 2025-07-09 Roy D. Jara , Phatthamon Kongkhambut , Hans Keßler , Andreas Hemmerich , Jayson G. Cosme

We consider the Watts-Strogatz small-world network consisting of subthreshold neurons which exhibit noise-induced spikings. This neuronal network has adaptive dynamic synaptic strengths governed by the spike-timing-dependent plasticity…

Neurons and Cognition · Quantitative Biology 2017-08-16 Sang-Yoon Kim , Woochang Lim

Spike-timing-dependent plasticity(STDP) is a biological process of synaptic modification caused by the difference of firing order and timing between neurons. One of the neurodynamical roles of STDP is to form a macroscopic geometrical…

Neurons and Cognition · Quantitative Biology 2021-08-10 Hong-Gyu Yoon , Pilwon Kim

Serpentine interconnects are highly stretchable and frequently used in flexible electronic systems. In this work, we show that the undulating geometry of the serpentine interconnects will generate phononic band gaps to manipulate elastic…

Applied Physics · Physics 2017-10-11 Pu Zhang , William J. Parnell

Dynamical decoupling pulse sequences have been used to extend coherence times in quantum systems ever since the discovery of the spin-echo effect. Here we introduce a method of recursively concatenated dynamical decoupling pulses, designed…

Quantum Physics · Physics 2007-05-23 K. Khodjasteh , D. A. Lidar

We present a general hardware framework for building networks that directly implement Reservoir Computing, a popular software method for implementing and training Recurrent Neural Networks and are particularly suited for temporal…

Emerging Technologies · Computer Science 2017-10-02 Samiran Ganguly , Kerem Y. Camsari , Avik W. Ghosh

We propose a scheme for scalable and robust quantum computing on two-dimensional arrays of qubits with fixed longitudinal coupling. This opens the possibility for bypassing the device complexity associated with tunable couplers required in…

Quantum Physics · Physics 2023-03-08 Nguyen H. Le , Max Cykiert , Eran Ginossar

Neuromorphic computing is emerging to be a disruptive computational paradigm that attempts to emulate various facets of the underlying structure and functionalities of the brain in the algorithm and hardware design of next-generation…

Neural and Evolutionary Computing · Computer Science 2020-11-17 Mehul Rastogi , Sen Lu , Nafiul Islam , Abhronil Sengupta