Neuromorphic systems are gaining increasing importance in an era where CMOS digital computing techniques are reaching physical limits. These silicon systems mimic extremely energy efficient neural computing structures, potentially both for solving engineering applications as well as understanding neural computation. Toward this end, the authors provide a glimpse at what the technology evolution roadmap looks like for these systems so that Neuromorphic engineers may gain the same benefit of anticipation and foresight that IC designers gained from Moore's law many years ago. Scaling of energy efficiency, performance, and size will be discussed as well as how the implementation and application space of Neuromorphic systems are expected to evolve over time.
Probabilistic arithmetic, where the i th output bit of addition and multiplication is correct with a probability pi, is shown to be a vehicle for realizing extremely energy-efficient, embedded computing. Specifically, probabilistic adders and multipliers, realized using elements such as gates that are in turn probabilistic, are shown to form a natural basis for primitives in the signal processing (dsp) domain. In this paper, we show that probabilistic arithmetic can be used to compute the fft in an extremely energy-efficient manner, yielding energy savings of over 5.6X in the context of the widely used synthetic aperture radar (sar) application [1]. Our results are derived using novel probabilistic cmos (pcmos) technology, characterized and applied in the past to realize ultra-efficient architectures for probabilistic applications [2,3,4]. When applied to the dsp domain, the resulting error in the output of a probabilistic arithmetic primitive, such as an adder for example, manifests as degradation in the signal-to-noise ratio (snr) of the sar image that is reconstructed through the fft algorithm. In return for this degradation that is enabled by our probabilistic arithmetic primitives -degradation visually indistinguishable from an image reconstructed using conventional deterministic approaches -significant energy savings and performance gains are shown to be possible per unit of snr degradation. These savings stem from a novel method of voltage scaling, which we refer to as biased voltage scaling (or bivos), that is the major technical innovation on which our probabilistic designs are based.
A field programmable analog array (FPAA) is presented as an energy and computational efficiency engine: a mixed mode processor for which functions can be compiled at significantly less energy costs using probabilistic computing circuits. More specifically, it will be shown that the core computation of any dynamical system can be computed on the FPAA at significantly less energy per operation than a digital implementation. A stochastic system that is dynamically controllable via voltage controlled amplifier and comparator thresholds is implemented, which computes Bernoulli random variables. From Bernoulli variables it is shown exponentially distributed random variables, and random variables of an arbitrary distribution can be computed. The Gillespie algorithm is simulated to show the utility of this system by calculating the trajectory of a biological system computed stochastically with this probabilistic hardware where over a 127X performance improvement over current software approaches is shown. The relevance of this approach is extended to any dynamical system. The initial circuits and ideas for this work were generated at the 2008 Telluride Neuromorphic Workshop.
We present a survey and analysis of processor power efficiency, showing results from the first personal computer until the present day that analyzes the metric of multiplyaccumulate (MAC) energy per operation. MAC performance is critical for continued scaling of signal processing applications. We derive our results from published work and published CPU databases, and we hypothesize that a Powerwall exists, above which we do not predict Moore's law will bring the current digital computing paradigm. Our results show that this Powerwall exists in a band from 10 to 30 GMAC/W.
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