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Structured flexibility in recurrent neural networks via neuromodulation
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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
- On the Measure-Wait-Go task, NM-RNNs consistently achieve lower loss than LR-RNNs on extrapolated intervals across 10 parameter-matched runs.
- On the multitask setting, NM-RNN retraining of only the neuromodulatory subnetwork on MemoryAnti matches LSTM and higher-rank vanilla RNN and considerably outperforms the LR-RNN.
- On the Element Finder Task (T=25), NM-RNNs solve the task like LSTMs while low-rank and full-rank RNNs largely fail.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use neuromodulated recurrent weights instead of fixed low-rank recurrent weights | NM-RNN vs. LR-RNN · Measure-Wait-Go extrapolation | L2 loss | Helped |
| Use neuromodulated recurrent weights instead of fixed low-rank recurrent weights | NM-RNN vs. LR-RNN · Measure-Wait-Go | output ramp accuracy | Helped |
| Use neuromodulated recurrent weights instead of fixed low-rank recurrent weights | NM-RNN vs. LR-RNN · DelayPro, DelayAnti, MemoryPro, and MemoryAnti | percent correct | Helped |
| Use an NM-RNN with feedback coupling from the output-generating subnetwork to the neuromodulatory subnetwork | NM-RNN · Element Finder Task | MSE loss | Helped |
| Add neuromodulatory component s1(t) (ablation) | Rank-3 NM-RNN · Measure-Wait-Go | task performance | Helped |
| Add neuromodulatory component s2(t) (ablation) | Rank-3 NM-RNN · Measure-Wait-Go | task performance | Helped |
| Add neuromodulatory component s3(t) (ablation) | Rank-3 NM-RNN · Measure-Wait-Go | output ramp slope accuracy | Helped |
Surprising findings
- The NM-RNN's gain advantage over LR-RNN in the multitask setting is not explained by retraining more parameters, since the comparison LR-RNN retrains a larger input weight matrix.
Limitations
- Networks are small (about N≈100 neurons), far fewer than biological or other related models.
- Results have not been compared to neural recording data, limiting biological conclusions.
- Only post-training dynamics were analyzed; effects during learning were not studied.
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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