💻 computer science

From Reasoning Allocation to Behavioural Specialisation: Boundary Results in Multi-Robot Systems

This paper demonstrates that while outcome-aware reasoning allocation is theoretically valuable, its practical implementation in multi-robot systems is severely limited by the intrinsic sparsity of high-value opportunities, leading to classifier collapse in learned routers and failing to produce genuine emergent collective cognition through delegation or specialization.

Pouya Mansournia2026-08-25✓ Author reviewed ⓘ
💻 computer science

Spectral Basis Interpretable Unit: A Learned Orthogonal Projection Module for Interpretable Function Approximation and Unsupervised Regime Discovery

This paper introduces the Spectral Basis Interpretable Unit (SBIU), a classically inspired, quantum-mechanics-motivated neural module that uses learned orthogonal projections to achieve universal function approximation and unsupervised regime discovery with high interpretability and competitive performance on both synthetic and real-world clinical datasets.

Kiarash Mohammadi2026-08-25
💻 computer science

Dictionary-KAN: Resolving the Optimization Paradox of Kolmogorov-Arnold Networks via Complex RKHS, Machine-Verified Theory, and Discrete Hierarchical Refinement

This paper introduces Dictionary-KAN (DKAN), a machine-verified architecture that resolves the optimization paradox of Kolmogorov-Arnold Networks by employing complex-coefficient RBF dictionaries and discrete hierarchical refinement to achieve superior multivariate regression, PDE coefficient recovery, and hardware-efficient interpretability while avoiding the memory and convergence issues of continuous spline-based KANs.

Kiarash Mohammadi2026-08-25