A modular state-space model of human perception, cognition, and decision dynamics
arXiv:2607.14078
2026
Architecture
1 ideas extracted · analyzed Aug 30, 2026
What the math gives to ML
The paper provides a transferable modular state-space construction in which perception is a contractive latent estimator and cognition evolves as a bounded, input-driven discrete dynamical system. Its most useful asset for neural networks is not the psychological interpretation, but the sufficient conditions for forward invariance, contraction of perceptual inference, and input-to-state stability of the cognitive state. These conditions can be converted into a recurrent or state-space architecture with separately constrained perception and cognition blocks, together with a computable step-size or spectral-gain ceiling. The resulting model should exhibit bounded hidden states and exponentially decaying sensitivity to initial conditions below a measurable contraction boundary.
Ideas from this paper
✗ Failed on benchmark
2026
Replace an unconstrained recurrent block with two coupled modules: a contractive perceptual estimator and an input-to-state-stable cognitive state transition. Spectral normalization and a controlled Euler residual step enforce a quantitative gain condition, preventing hidden-state explosion while retaining long memory when the contraction factor is chosen close to one.
Useful7/10
Difficulty5/10
Novelty6/10