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Structured flexibility in recurrent neural networks via neuromodulation

NeurIPS 2024 · Architectures and efficiency › RNNs and normalization · approach: Efficient recurrent architectures · 4 citations (OpenAlex)

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Proposes the neuromodulated RNN (NM-RNN), where a small neuromodulatory RNN outputs a low-dimensional signal that scales the rank-1 components of a low-rank output-generating RNN's recurrent weights, and shows it trains and generalizes better than low-rank RNNs on canonical neuroscience tasks.

Problem

Task-optimized RNNs used in neuroscience have fixed recurrent weights, whereas synaptic strengths are dynamically modulated by neuromodulators; it is unclear what computational benefit such synaptic gain scaling provides.

Approach

Two linked networks: a small full-rank neuromodulatory RNN whose sigmoid readout scales each rank-1 component of the recurrent weight matrix of a larger low-rank RNN, yielding time-varying gain-based structured flexibility that resembles LSTM gating.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use neuromodulated recurrent weights instead of fixed low-rank recurrent weightsNM-RNN vs. LR-RNN · Measure-Wait-Go extrapolationL2 lossHelped
Use neuromodulated recurrent weights instead of fixed low-rank recurrent weightsNM-RNN vs. LR-RNN · Measure-Wait-Gooutput ramp accuracyHelped
Use neuromodulated recurrent weights instead of fixed low-rank recurrent weightsNM-RNN vs. LR-RNN · DelayPro, DelayAnti, MemoryPro, and MemoryAntipercent correctHelped
Use an NM-RNN with feedback coupling from the output-generating subnetwork to the neuromodulatory subnetworkNM-RNN · Element Finder TaskMSE lossHelped
Add neuromodulatory component s1(t) (ablation)Rank-3 NM-RNN · Measure-Wait-Gotask performanceHelped
Add neuromodulatory component s2(t) (ablation)Rank-3 NM-RNN · Measure-Wait-Gotask performanceHelped
Add neuromodulatory component s3(t) (ablation)Rank-3 NM-RNN · Measure-Wait-Gooutput ramp slope accuracyHelped

Surprising findings

Limitations

Experimental setup

Datasets: Measure-Wait-Go interval task DelayPro/DelayAnti/MemoryPro/MemoryAnti four-task set (Duncker et al.) Element Finder Task

Benchmarks: Measure-Wait-Go interval reproduction multitask DelayPro/DelayAnti/MemoryPro/MemoryAnti with MemoryAnti retraining Element Finder Task

Metrics: L2 loss MSE loss percent correct

Baselines: low-rank RNN (LR-RNN) vanilla RNN LSTM full-rank RNN

Builds on: low-rank RNN LSTM HyperRNN Beiran et al. low-rank RNN timing model Driscoll et al. multitask RNN

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