Dendrite Net with Acceleration Module for Faster Nonlinear Mapping and System Identification

TL;DR

This paper introduces an accelerated Dendrite Net (DD with AC) that further reduces computational complexity while maintaining nonlinear mapping and system identification capabilities, enabling faster online system applications.

Contribution

The paper proposes an acceleration module for Dendrite Net, significantly improving speed without sacrificing accuracy in nonlinear mapping and system identification.

Findings

DD with AC retains DD's mapping accuracy

Lower time complexity demonstrated through experiments

Applicable to real-time online systems

Abstract

Nonlinear mapping is an essential and common demand in online systems, such as sensor systems and mobile phones. Accelerating nonlinear mapping will directly speed up online systems. Previously the authors of this paper proposed a Dendrite Net (DD) with enormously lower time complexity than the existing nonlinear mapping algorithms; however, there still are redundant calculations in DD. This paper presents a DD with an acceleration module (AC) to accelerate nonlinear mapping further. We conduct three experiments to verify whether DD with AC has lower time complexity while retaining DD's nonlinear mapping properties and system identification properties: The first experiment is the precision and identification of unary nonlinear mapping, reflecting the calculation performance using DD with AC for basic functions in online systems. The second experiment is the mapping precision and identification of the multi-input nonlinear system, reflecting the performance for designing online systems via DD with AC. Finally, this paper compares the time complexity of DD and DD with AC and analyzes the theoretical reasons through repeated experiments. Results: DD with AC retains DD's excellent mapping and identification properties and has lower time complexity. Significance: DD with AC can be used for most engineering systems, such as sensor systems, and will speed up computation in these online systems. The code of DD with AC is available on https://github.com/liugang1234567/Gang-neuron