mlsanityData to 7 Oct 2026

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

arXiv 2510.20709 ↗First posted 23 Oct 2025cs.LG q-bio.NCcited by 1

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Abstract (arXiv)

The ability to continually learn, retain and deploy skills to accomplish goals is a key feature of intelligent and efficient behavior. However, the neural mechanisms facilitating the continual learning and flexible (re-)composition of skills remain elusive. Here, we study continual learning and the compositional reuse of learned computations in recurrent neural network (RNN) models using a novel two-system approach: one system that infers what computation to perform, and one that implements how to perform it. We focus on a set of compositional cognitive tasks commonly studied in neuroscience. To construct the what system, we first show that a large family of tasks can be systematically described by a probabilistic generative model, where compositionality stems from a shared underlying vocabulary of discrete task epochs. The shared epoch structure makes these tasks inherently compositional. We first show that this compositionality can be systematically described by a probabilistic generative model. Furthermore, We develop an unsupervised online learning approach that can learn this model on a single-trial basis, building its vocabulary incrementally as it is exposed to new tasks, and inferring the latent epoch structure as a time-varying computational context within a trial. We implement the how system as an RNN whose low-rank components are composed according to the context inferred by the what system. Contextual inference facilitates the creation, learning, and reuse of low-rank RNN components as new tasks are introduced sequentially, enabling continual learning without catastrophic forgetting. Using an example task set, we demonstrate the efficacy and competitive performance of this two-system learning framework, its potential for forward and backward transfer, as well as fast compositional generalization to unseen tasks.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 14 of its 50 references that are in the map. First posted on arXiv 23 Oct 2025.

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14 of 50 references.

References · 14

  1. 2016Overcoming catastrophic forgetting in neural networkscited by 4,718
  2. 2020Gradient Surgery for Multi-Task Learningcited by 1,210
  3. 2019Continual learning with hypernetworkscited by 267
  4. 2018Continual Learning of Context-dependent Processing in Neural Networkscited by 178
  5. 2018Alleviating catastrophic forgetting using context-dependent gating and synaptic stabilizationcited by 104
  6. 2023Compositional Generalization from First Principlescited by 62
  7. 2021Continual Learning via Local Module Compositioncited by 61
  8. 2022Beyond Not-Forgetting: Continual Learning with Backward Knowledge Transfercited by 59
  9. 2019Task Agnostic Continual Learning via Meta Learningcited by 53
  10. 2021Continual Learning for Recurrent Neural Networks: an Empirical Evaluationcited by 34
  11. 2022Modelling continual learning in humans with Hebbian context gating and exponentially decaying task signalscited by 12
  12. 2022Continual task learning in natural and artificial agentscited by 12
2 more
  1. 2023Restricted Orthogonal Gradient Projection for Continual Learningcited by 6
  2. 2024Flexible task abstractions emerge in linear networks with fast and bounded unitscited by 2

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