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TC-LIF: A Two-Compartment Spiking Neuron Model for Long-Term Sequential Modelling
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Proposes TC-LIF, a two-compartment spiking neuron with somatic and dendritic membrane potentials, to improve long-term temporal credit assignment in SNNs, evaluated on S-MNIST, PS-MNIST, GSC, SHD and SSC.
Problem
Spiking neural networks struggle to establish long-term temporal dependencies between distant cues because error gradients vanish over long time spans in single-compartment neurons such as LIF.
Approach
A biologically inspired two-compartment LIF neuron derived from the Pinsky-Rinzel model, with a dendritic compartment that retains long-term memory, coupled to the soma via opposite-signed learnable coupling coefficients (beta1 in (-1,0), beta2 in (0,1)) and no membrane decay, so gradient propagation over time is improved.
Key results
- TC-LIF reaches 99.20% test accuracy on S-MNIST with a recurrent network, reported as the best SNN result on that dataset.
- On SHD, TC-LIF (recurrent) reaches 88.91% accuracy versus 84.40% for SRNN+ALIF; on GSC recurrent it reaches 94.84% versus 92.10% for SRNN+ALIF.
- Empirical energy cost is 28.2 nJ for TC-LIF versus 23.8 nJ for LIF and 2,834.7 nJ for LSTM, i.e. more than 100x savings over LSTM; TC-LIF converges in about 25 epochs versus about 100 for LIF on feedforward networks.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| replace LIF neurons with TC-LIF neurons | feedforward SNN · S-MNIST | accuracy (%): 94.80/95.27 -> 96.46/97.35 | Helped |
| replace SRNN+ReLU with TC-LIF neurons | recurrent SNN · S-MNIST | accuracy (%): 98.99/ - -> 98.79/99.20 | Mixed |
| replace LIF neurons with TC-LIF neurons | feedforward SNN · PS-MNIST | accuracy (%): 11.30/10.00 -> 80.89/83.98 | Helped |
| replace SRNN+ALIF with TC-LIF neurons | recurrent SNN · PS-MNIST | accuracy (%): 91.00/94.30 -> 92.69/95.36 | Helped |
| replace rate-based SNN with TC-LIF neurons | feedforward SNN · GSC | accuracy (%): 75.20 -> 91.35 | Helped |
| replace SRNN+ALIF with TC-LIF neurons | recurrent SNN · GSC | accuracy (%): 92.10 -> 94.84 | Helped |
| replace feed-forward SNN neurons with TC-LIF neurons | feedforward SNN · SHD | accuracy (%): 48.60 -> 83.08 | Helped |
| replace SRNN+ALIF with TC-LIF neurons | recurrent SNN · SHD | accuracy (%): 84.40 -> 88.91 | Helped |
| replace feed-forward SNN neurons with TC-LIF neurons | feedforward SNN · SSC | accuracy (%): 38.50 -> 63.46 | Helped |
| replace Heterogeneous SRNN with TC-LIF neurons | recurrent SNN · SSC | accuracy (%): 57.3 -> 61.09 | Helped |
| use TC-LIF instead of LIF neurons | recurrent SNN · S-MNIST | empirical energy cost (nJ): 23.8 -> 28.2 | Hurt |
| initialize beta1, beta2 to (-0.2, 0.8) (ablation) | TC-LIF · S-MNIST | test accuracy (%): 99.20 -> 89.36 | Hurt |
Surprising findings
- Single-compartment LIF baselines reach only 11.30% on PS-MNIST feedforward, and the authors report that initializing the coupling coefficients in other quadrants fails to converge.
- The infinite norm of the Jacobian between adjacent time steps stays slightly above 1 after training, so the authors accept mild gradient explosion risk rather than eliminating it.
Limitations
- Only two-compartment models are studied; generalization to more compartments is left open.
- Gradient norm analysis shows the infinite norm exceeds 1 throughout, so exploding gradients are possible; stability is only empirically observed.
- Results on some tasks rely on reproduced baselines marked with asterisk and on hyperparameters tuned per dataset.
Experimental setup
Datasets: S-MNIST PS-MNIST Google Speech Commands v2 Spiking Heidelberg Digits Spiking Google Speech Commands
Benchmarks: S-MNIST PS-MNIST GSC SHD SSC
Metrics: test accuracy parameter count energy cost (nJ) training convergence epochs
Baselines: LIF GLIF PLIF LTMD LSTM SRNN+ReLU LSNN AHP SRNN+ALIF Heterogeneous SRNN
Builds on: Leaky Integrate-and-Fire Pinsky-Rinzel model surrogate gradient LSNN GLIF PLIF
Closest papers by meaning
- TS-LIF: A Temporal Segment Spiking Neuron Network for Time Series Forecasting (ICLR 2025 · similarity 0.92)
- P-SPIKESSM: HARNESSING PROBABILISTIC SPIKING STATE SPACE MODELS FOR LONG-RANGE DEPENDENCY TASKS (ICLR 2025 · similarity 0.90)
- CLIF: Complementary Leaky Integrate-and-Fire Neuron for Spiking Neural Networks (ICML 2024 · similarity 0.89)
- Autaptic Synaptic Circuit Enhances Spatio-temporal Predictive Learning of Spiking Neural Networks (ICML 2024 · similarity 0.88)
- The Expressive Leaky Memory Neuron: an Efficient and Expressive Phenomenological Neuron Model Can Solve Long-Horizon Tasks. (ICLR 2024 · similarity 0.88)
- Neuronal Self-Adaptation Enhances Capacity and Robustness of Representation in Spiking Neural Networks (NeurIPS 2026 · similarity 0.88)
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