Efficient spiking neural network model of pattern motion selectivity in visual cortex

Simulating large-scale models of biological motion perception is challenging, due to the required memory to store the network structure and the computational power needed to quickly solve the neuronal dynamics. A low-cost yet high-performance approach to simulating large-scale neural network models in real-time is to leverage the parallel processing capability of graphics processing units (GPUs). Based on this approach, we present a two-stage model of visual area MT that we believe to be the first large-scale spiking network to demonstrate pattern direction selectivity. In this model, component-direction- selective (CDS) cells in MT linearly combine inputs from V1 cells that have spatiotemporal receptive fields according to the motion energy model of Simoncelli and Heeger. Pattern-direction-selective (PDS) cells in MT are constructed by pooling over MT CDS cells with a wide range of preferred directions. Responses of our model neurons are comparable to electrophysiological results for grating and plaid stimuli as well as speed tuning. The behavioral response of the network in a motion discrimination task is in agreement with psychophysical data. Moreover, our implementation outperforms a previous implementation of the motion energy model by orders of magnitude in terms of computational speed and memory usage. The full network, which comprises 153,216 neurons and approximately 40 million synapses, processes 20 frames per second of a 40∈×∈40 input video in real-time using a single off-the-shelf GPU. To promote the use of this algorithm among neuroscientists and computer vision researchers, the source code for the simulator, the network, and analysis scripts are publicly available. © 2014 Springer Science+Business Media New York

How Gibbs distributions may naturally arise from synaptic adaptation mechanisms. A model-based argumentation

This paper addresses two questions in the context of neuronal networks dynamics, using methods from dynamical systems theory and statistical physics: (i) How to characterize the statistical properties of sequences of action potentials ("spike trains") produced by neuronal networks ? and; (ii) what are the effects of synaptic plasticity on these statistics ? We introduce a framework in which spike trains are associated to a coding of membrane potential trajectories, and actually, constitute a symbolic coding in important explicit examples (the so-called gIF models). On this basis, we use the thermodynamic formalism from ergodic theory to show how Gibbs distributions are natural probability measures to describe the statistics of spike trains, given the empirical averages of prescribed quantities. As a second result, we show that Gibbs distributions naturally arise when considering "slow" synaptic plasticity rules where the characteristic time for synapse adaptation is quite longer than the characteristic time for neurons dynamics.Comment: 39 pages, 3 figure

Neuromorphic silicon neuron circuits

23 páginas, 21 figuras, 2 tablas.-- et al.Hardware implementations of spiking neurons can be extremely useful for a large variety of applications, ranging from high-speed modeling of large-scale neural systems to real-time behaving systems, to bidirectional brain–machine interfaces. The specific circuit solutions used to implement silicon neurons depend on the application requirements. In this paper we describe the most common building blocks and techniques used to implement these circuits, and present an overview of a wide range of neuromorphic silicon neurons, which implement different computational models, ranging from biophysically realistic and conductance-based Hodgkin–Huxley models to bi-dimensional generalized adaptive integrate and fire models. We compare the different design methodologies used for each silicon neuron design described, and demonstrate their features with experimental results, measured from a wide range of fabricated VLSI chips.This work was supported by the EU ERC grant 257219 (neuroP), the EU ICT FP7 grants 231467 (eMorph), 216777 (NABAB), 231168 (SCANDLE), 15879 (FACETS), by the Swiss National Science Foundation grant 119973 (SoundRec), by the UK EPSRC grant no. EP/C010841/1, by the Spanish grants (with support from the European Regional Development Fund) TEC2006-11730-C03-01 (SAMANTA2), TEC2009-10639-C04-01 (VULCANO) Andalusian grant num. P06TIC01417 (Brain System), and by the Australian Research Council grants num. DP0343654 and num. DP0881219.Peer Reviewe

Exploiting Device Mismatch in Neuromorphic VLSI Systems to Implement Axonal Delays

Sheik S, Chicca E, Indiveri G. Exploiting Device Mismatch in Neuromorphic VLSI Systems to Implement Axonal Delays. Presented at the International Joint Conference on Neural Networks (IJCNN), Brisbane, Australia.Axonal delays are used in neural computation to implement faithful models of biological neural systems, and in spiking neural networks models to solve computationally demanding tasks. While there is an increasing number of software simulations of spiking neural networks that make use of axonal delays, only a small fraction of currently existing hardware neuromorphic systems supports them. In this paper we demonstrate a strategy to implement temporal delays in hardware spiking neural networks distributed across multiple Very Large Scale Integration (VLSI) chips. This is achieved by exploiting the inherent device mismatch present in the analog circuits that implement silicon neurons and synapses inside the chips, and the digital communication infrastructure used to configure the network topology and transmit the spikes across chips. We present an example of a recurrent VLSI spiking neural network that employs axonal delays and demonstrate how the proposed strategy efficiently implements them in hardware

Phase-responsiveness transmission in a network of quadratic integrate-and-fire neurons

In the study of the dynamics of neuronal networks, it is interesting to see how the interaction between neurons can elicit different behaviours in each individual one. Moreover, this can lead to the population exhibiting collective phenomena that is not intrinsic to a single cell, such as synchronization. In this project, we work with a large-scale network and a firing-rate model of quadratic integrate-and-fire (QIF) neurons. After studying the dynamics of the QIF model and computing its phase response curve (PRC), we propose an algorithm to describe the population through the PRCs. Our method is able to replicate the same dynamics we observe with the aforementioned models and it also serves us to gain more insight into the transmission of pulses and to explain how a network can maintain a state of synchronized firing

EXPLORING MULTIPLE LEVELS OF PERFORMANCE MODELING FOR HETEROGENEOUS SYSTEMS

The current trend in High-Performance Computing (HPC) is to extract concurrency from clusters that include heterogeneous resources such as General Purpose Graphical Processing Units (GPGPUs) and Field Programmable Gate Array (FPGAs). Although these heterogeneous systems can provide substantial performance for massively parallel applications, much of the available computing resources are often under-utilized due to inefficient application mapping, load balancing, and tuning. While several performance prediction models exist to efficiently tune applications, they often require significant computing architecture knowledge for reliable prediction. In addition, they do not address multiple levels of design space abstraction and it is often difficult to choose a reliable prediction model for a given design. In this research, we develop a multi-level suite of performance prediction models for heterogeneous systems that primarily targets Synchronous Iterative Algorithms (SIAs). The modeling suite aims to produce accurate and straightforward application runtime prediction prior to the actual large-scale implementation. This suite addresses two levels of system abstraction: 1) low-level where partial knowledge of the application implementation is present along with the system specifications and 2) high-level where the implementation details are minimum and only high-level computing system specifications are given. The performance prediction modeling suite is developed using our proposed Synchronous Iterative GPGPU Execution (SIGE) model for GPGPU clusters, motivated by the RC Amenability Test for Scalable Systems (RATSS) model for FPGA clusters. The low-level abstraction for GPGPU clusters consists of a regression-based performance prediction framework that statistically abstracts system architecture characteristics, enabling performance prediction without detailed architecture knowledge. In this framework, the overall execution time of an application is predicted using regression models developed for host-device computations and network-level communications performed in the algorithm. We have used a family of Spiking Neural Network (SNN) models and an Anisotropic Diffusion Filter (ADF) algorithm as SIA case studies for verification of the regression-based framework and achieved over 90% prediction accuracy compared to the actual implementations for several GPGPU cluster configurations tested. The results establish the adequacy of the low-level abstraction model for advanced, fine-grained performance prediction and design space exploration (DSE). The high-level abstraction consists of the following two primary modeling approaches: qualitative modeling that uses existing subjective-analytical models for computation and communication; and quantitative modeling that predicts computation and communication performance by measuring hardware events associated with objective-analytical models using micro-benchmarks. The performance prediction provided by the high-level abstraction approaches, albeit coarse-grained, delivers useful insight into application performance on the chosen heterogeneous system. A blend of the two high-level modeling approaches, labeled as hybrid modeling, is explored for insightful preliminary performance prediction. The performance prediction models in the multi-level suite are verified and compared for their accuracy and ease-of-use, allowing developers to choose a model that best satisfies their design space abstraction. We also construct a roadmap that guides user from optimal Application-to-Accelerator (A2A) mapping to fine-grained performance prediction, thereby providing a hierarchical approach to optimal application porting on the target heterogeneous system. The end goal of this dissertation research is to offer the HPC community a thorough, non-architecture specific, performance prediction framework in the form of a hierarchical modeling suite that enables them to optimally utilize the heterogeneous resources