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Model Based Inference of Synaptic Plasticity Rules

NeurIPS 2024 · Probabilistic and scientific modeling › Dynamical systems · approach: Recurrent circuit models of inference · 2 citations (OpenAlex)

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Proposes a gradient-based method that infers synaptic plasticity rules (truncated Taylor series or MLP) from neural activity or behavioral trajectories, validates on simulations, and applies it to fruit-fly reward-learning behavior to reveal a weight-decay (active forgetting) term.

Problem

Inferring the synaptic plasticity rules that govern learning in the brain from experimental neural or behavioral data, where synaptic weights and generative rules are not directly observed.

Approach

Parameterize the plasticity rule as a truncated Taylor series or MLP and fit its parameters by backpropagation through time over entire observed trajectories, so that the rule can depend on postsynaptic activity and current weights (which prior logistic-regression approaches could not handle).

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add a synaptic weight-dependent term (wij) to the fly plasticity rule (ablation)Fly behavior model · Drosophila two-alternative choice taskpercent deviance explained: p = 5×10−5Helped
Add reward expectation to absolute reward in a rule with weight dependence (ablation)Fly behavior model · Drosophila two-alternative choice taskpercent deviance explained: p = 0.067Helped
Vary trajectory length from 30 to 1920 (ablation)Taylor series behavior model · Simulated behaviorpercent deviance explained: 39.52 -> 79.66Helped
Vary trajectory length from 30 to 1920 (ablation)Taylor series behavior model · Simulated behaviorR2 weights: 0.79 -> 0.64Hurt
Use shorter moving-average windows for expected reward (ablation)Behavior simulation model · Simulated behaviorR2 weightsHelped
Increase hidden-layer size from 10 to 1000 (ablation)Taylor series behavior model · Simulated behaviorR2 weights: 0.78 -> 0.79No clear effect
Use ground-truth rule xjyiwijr −0.05r instead of xjr (ablation)Taylor series plasticity inference · Simulated reward-based plasticitypercent deviance explained: 61.91 -> 84.22Mixed
Use ground-truth rule xjyiwijr −0.05r instead of xjr (ablation)Taylor series plasticity inference · Simulated reward-based plasticityR2 weights: 0.78 -> 0.41Hurt

Surprising findings

Limitations

Experimental setup

Datasets: simulated neural activity from Oja's rule network simulated behavior from covariance-based reward rule Drosophila two-alternative choice behavior (18 flies)

Benchmarks: simulated Oja's rule recovery simulated reward-based plasticity recovery Drosophila behavioral choice data

Metrics: R2 over weights R2 over activity percent deviance explained Wilcoxon signed-rank test test percent deviance explained

Baselines: Rajagopalan et al. 2023 logistic regression method Taylor series parameterization vs MLP parameterization

Builds on: Oja's rule Confavreux et al. 2020 meta-learning plasticity Rajagopalan et al. 2023 logistic regression rule inference covariance-based learning rule (Loewenstein & Seung 2006)

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