arXiv AI

Feedback-Coupled Memory Systems in Continuous Time

arXiv:2607. 09714v1 Announce Type: new Abstract: The Feedback-Coupled Memory Systems (FCMS) architecture formalizes closed-loop coordination through four abstract operators, two of which - the agent update operator $f_i$ and the environmental update operator $\Psi$ - are left axiomatically undefined in the original framework.

arXiv Machine Learning
Sep 18

Conservation Buys Stability and Factoring Buys Counterfactuals in Physical World Models

The paper demonstrates that learned simulators can fail in two distinct ways when conditions change: long‑horizon drift due to accumulated errors and incorrect responses to interventions on physical parameters. By adding a symplectic integrator to preserve conservative dynamics, rollouts remain stable for up to 100× the training horizon, while encoding physical coupling via explicit linear factorization allows the model to generalize to unseen signs of that coupling. The study shows that stability and counterfactual generalization arise from separate structural choices, enabling designers to impose each property independently.

By Yufeng Wang, Parivesh Priye, Lu Wei, Haibin Ling
arXiv Machine Learning
Sep 4

Time Without Timesteps: Simulating Coupled Dynamical Systems via Self-Consistency

The paper introduces a new method for simulating coupled dynamical systems that bypasses traditional time‑stepping. Instead of marching through time, each subsystem is represented by a neural surrogate that maps an entire driving trajectory and initial condition to a full output trajectory. Coupling is achieved by enforcing self‑consistency across these trajectories, turning the simulation into a fixed‑point problem over complete trajectories. Experiments on van der Pol oscillators and Hodgkin‑Huxley neuron networks show that only 4–10 Newton iterations are needed, compared to 1500 steps for a conventional integrator, and that the gradient can be computed without time recursion using GMRES. The spectral radius of the surrogate’s Jacobian predicts convergence, and the implicit gradient remains accurate even when unrolled backpropagation diverges.

By Liyu Zerihun, Mark Shinyoung Lee