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Peer-reviewedCC BY 4.0Fractal and Fractional

Fractional Spike-Frequency Adaptation for Multi-Timescale Negative Feedback in an LGMD2 Inspired Neuromorphic Model

  1. 1School of Opto-Electronic and Communication Engineering, Xiamen University of Technology, Xiamen 361024, China
  2. 2School of Electronic Science and Engineering, Xiamen University, Xiamen 361005, China
  3. 3College of Information Science & Engineering, Huaqiao University, Xiamen 361021, China

Abstract

Spike-frequency adaptation (SFA) regulates neuronal excitability according to recent spiking activity, yet conventional neuromorphic models typically describe adaptation using single-timescale exponential recovery. To the best of our knowledge, most existing fractional spiking-neuron formulations introduce memory primarily through membrane or input-related dynamics rather than through the recovery of a spike-triggered adaptation current. Here, we propose fractional spike-frequency adaptation (F-SFA), in which an integer-order LIF membrane is coupled with a spike-triggered adaptation current undergoing fractional-order recovery. A compact multi-exponential embedding enables recursive implementation without explicit history convolution. Single-neuron experiments show firing rate adaptation, progressive inter-spike-interval (ISI) elongation, and post-stimulus recovery. F-SFA is further incorporated into an event-driven Lobula Giant Movement Detector 2 (LGMD2)-inspired model without feed-forward inhibition (FFI). The resulting model retains a pronounced response to dark looming while providing additional history-dependent attenuation of sustained translation and post-looming activity. These results support the feasibility of F-SFA as a compact mechanism for introducing multi-timescale spike-history-dependent adaptation into event-driven neuromorphic models.

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BibTeX
@article{deng2026fractional,
  title = {{Fractional Spike-Frequency Adaptation for Multi-Timescale Negative Feedback in an LGMD2 Inspired Neuromorphic Model}},
  author = {Yabin Deng and Pengzhou Wang and Bijing Liu and Yijin Wu and Junqi Huang and Zenan Huang},
  journal = {Fractal and Fractional},
  year = {2026},
  month = oct,
  doi = {10.3390/fractalfract10100713},
  url = {https://www.mdpi.com/2504-3110/10/10/713},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Fractional Spike-Frequency Adaptation for Multi-Timescale Negative Feedback in an LGMD2 Inspired Neuromorphic Model
AU  - Yabin Deng
AU  - Pengzhou Wang
AU  - Bijing Liu
AU  - Yijin Wu
AU  - Junqi Huang
AU  - Zenan Huang
PY  - 2026
DA  - 2026/10/10
JO  - Fractal and Fractional
DO  - 10.3390/fractalfract10100713
UR  - https://www.mdpi.com/2504-3110/10/10/713
AB  - Spike-frequency adaptation (SFA) regulates neuronal excitability according to recent spiking activity, yet conventional neuromorphic models typically describe adaptation using single-timescale exponential recovery. To the best of our knowledge, most existing fractional spiking-neuron formulations introduce memory primarily through membrane or input-related dynamics rather than through the recovery of a spike-triggered adaptation current. Here, we propose fractional spike-frequency adaptation (F-SFA), in which an integer-order LIF membrane is coupled with a spike-triggered adaptation current undergoing fractional-order recovery. A compact multi-exponential embedding enables recursive implementation without explicit history convolution. Single-neuron experiments show firing rate adaptation, progressive inter-spike-interval (ISI) elongation, and post-stimulus recovery. F-SFA is further incorporated into an event-driven Lobula Giant Movement Detector 2 (LGMD2)-inspired model without feed-forward inhibition (FFI). The resulting model retains a pronounced response to dark looming while providing additional history-dependent attenuation of sustained translation and post-looming activity. These results support the feasibility of F-SFA as a compact mechanism for introducing multi-timescale spike-history-dependent adaptation into event-driven neuromorphic models.
SN  - 2504-3110
ER  -