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Separating the 'what' and 'how' of compositional computation to enable reuse and continual learning

NeurIPS 2025 · Continual learning › Online and replay-based · approach: Theoretical analysis of forgetting · 0 citations (OpenAlex)

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Proposes a two-system "what/how" framework: an online incremental-EM task model infers time-varying epoch contexts from compositional cognitive tasks, which gate low-rank RNN components, enabling continual learning without catastrophic forgetting.

Problem

Continual learning and compositional reuse of computations in RNNs remain hard: sequentially trained RNNs suffer catastrophic forgetting, and existing methods do not explicitly reuse building blocks across compositional neuroscience tasks.

Approach

A probabilistic generative model of compositional cognitive tasks built from shared discrete task epochs; an online incremental EM learns this model trial-by-trial and infers epoch contexts that gate the weighted sum of low-rank recurrent components (U_z V_z^T) and input/output weights of an RNN.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use inferred computational contexts to gate and compose RNN componentsContextRNN · Sequential learning of six compositional cognitive taskstest performanceHelped
Use inferred computational contexts to gate and compose RNN componentsContextRNN · MemoryAnti compositional generalizationaccuracy: 83% within 40 trials; baselines: 56%, 53%, 64% after 512 trialsHelped
Train on a task with overlapping computational contexts before a new taskContextRNN · Forward transfer across compositional cognitive taskstest lossHelped
Train on Delay or DM tasks before MemoryPro/AntiContextRNN · MemoryPro/Anti forward transferfinal test lossMixed
Continue training on a subsequent task that revisits shared contextsContextRNN · Backward transfer across compositional cognitive taskstest loss on the previous taskHelped
Train subsequent tasks with OWPOWP · Backward transfer across compositional cognitive taskstest loss on old tasksNo clear effect
Train with Adam on a general RNN without continual-learning measuresGeneral RNN · Sequential learning of six compositional cognitive taskstest performanceHurt
Use EWC on a general RNNGeneral RNN · Sequential learning of six compositional cognitive taskstest performanceHurt
Use OWP on a general RNNGeneral RNN · Sequential learning of six compositional cognitive taskstask performanceMixed
Use a jointly trained neuromodulatory subnetwork to control recurrent weightsNeuromodulated RNN · Sequential learning of six compositional cognitive taskstest performanceHurt
Use task embeddings and a hypernetwork to generate task-dependent weightsHypernetwork RNN · Sequential learning of six compositional cognitive taskstest performanceMixed

Surprising findings

Limitations

Experimental setup

Datasets: synthetic compositional cognitive tasks (generated from the proposed generative model)

Benchmarks: synthetic cognitive task set (DelayPro/Anti, MemoryPro/Anti, DMPro/Anti, M'Pro/M'Anti)

Metrics: test log loss task performance accuracy forward transfer backward transfer trials to reach accuracy in compositional generalization

Baselines: Adam on general RNN EWC OWP neuromodulated RNN task-conditioned hypernetwork

Builds on: Adam Elastic Weight Consolidation Orthogonal Weight-Space Projection neuromodulated RNN task-conditioned hypernetwork

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