The CFN provides a controlled computational platform for studying persistent, history-dependent cognitive dynamics without a separately prescribed memory system and finds that learning organizes persistent, content-dependent recurrent dynamics whose timescale increases systematically with the trained recurrent horizon.
Abstract
Cognitive Field Theory (CFT) proposes that cognition arises from memory-dressed collective dynamics that generate a persistent macroscopic cognitive field. Here we develop a Cognitive Field Network (CFN), a recurrent Transformer in which the organized hidden field re-enters subsequent inference through \[ \Phi_{n+1}=F_{\theta}(X_{n+1},\Phi_n). \] Rather than prescribing an explicit memory operation, the CFN allows new information to act on an already history-dependent collective state. We find that learning organizes persistent, content-dependent recurrent dynamics whose timescale increases systematically with the trained recurrent horizon. Semantic continuation propagates the recurrent state far beyond this horizon without replay of the target answer. Without content-specific support, the field exhibits finite passive relaxation, whereas periodic re-exposure to relevant input repeatedly renews the surviving state and drives it toward an approximately stationary nonzero regime. Unrelated-input and recurrence-off controls do not reproduce this behavior, while near-paraphrased re-exposure produces weaker renewal, demonstrating representation-sensitive persistence. These results distinguish three dynamical processes: collective memory dressing forms and sustains a history-dependent cognitive field, structured input reorganizes this field, and cross-cycle re-entry makes the resulting state causally available to subsequent inference. The CFN therefore provides a controlled computational platform for studying persistent, history-dependent cognitive dynamics without a separately prescribed memory system.
Recurrent neural networks (RNNs) offer linear-time scaling with sequence length while requiring only constant memory, yet they struggle to capture long-range dependencies due to vanishing gradients and limited receptive fields. To address these limitations, we introduce a second-order recurrent model in which the stand...
Aleix Salvador-Pomarol, A. Montanari, E. K. Miller et al.· 0 citations
This work revisits Unitary recurrent networks (uRNNs) and proposes three different versions of uRNNs as drop-in replacements for recurrent PPO architectures, and demonstrates that the simple recurrence and the added degree of freedom from the phase of the complex representations enable significant gains over baselines...
Sathya Kamesh Bhethanabhotla, E. Gavves, André Biedenkapp· 0 citations
It is shown that a hippocampal network with appropriate recurrent connections can naturally achieve optimal goal-directed navigation via its relaxation dynamics, and it is proved that this field is mathematically equivalent to the desirability field of a Linearly-solvable Markov Decision Process (LMDP).
Yu-Hang He, Jun-Feng Zuo, Tian-Hao Chu et al.· 0 citations
Emergent Models (EMs) are a machine learning paradigm based on simple yet open-ended substrates, such as cellular automata, in which modeling is treated not as the learning of a closed-form input-output map but as the emergence, within simple dynamical systems, of computational behaviors that solve external tasks. Such...
Giacomo Bocchese, Nicola Giacobbo, Etienne Guichard et al.· 0 citations
This work reveals that memory basins exhibit an ``octopus-like''structure: a robust ``head''near the attractor and thin, intertwined ``tentacles''spanning state space, which yields a quantitative relation linking minimum cue duration, synchronization rate, and basin-head radius.
PRISM-M, a simple recurrent mathematical implementation of the Principle of Representation Integration for Stable Models, treats extraction, compression, integration, stabilization, and prediction/action as five interacting operations and tests whether they can produce internal states that persist over time while remai...