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arxivcs.NE2026-07-07

An Introduction and Tutorial for the Beagle Framework

Ilya Basin, Nathan Haut

The Beagle framework is a GPU-based genetic programming framework that enables highly efficient genetic programming search using large population sizes by leveraging NVIDIA GPUs. This technical guide provides an introduction to the Beagle framework and provides detailed instructions for using the framework for symbolic regression problems.

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arxivcs.NEcs.LG2026-06-26

Criticality-Constrained Iterative Pruning for Energy-Efficient Spiking Neural Networks via Combined Importance Scoring

Muhammad Hamza

Deploying spiking neural networks (SNNs) on neuromorphic hardware demands aggressive synaptic pruning while preserving temporal computation integrity. Existing strategies either neglect neuronal criticality or rely on convex relaxations of the inherently combinatorial pruning pro…

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arxivcs.LGcs.NE2026-07-17

Constrained Hebbian Learning Supports Efficient Representational Allocation under Structural Constraints

Patrick Inoue, Florian Röhrbein, Andreas Knoblauch

Introduction: Biological systems face anatomical and metabolic constraints, including costly synaptic maintenance and limited connectivity. These constraints favor neural codes that compress behaviorally relevant information into low-redundancy patterns. We test whether an excita…

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arxivcs.NE2026-07-17

Transient State Reorganization and Cell Differentiation in the Developmental Dynamics of Growing Neural Cellular Automata

Hiroki Sato, Atsushi Masumori, Takashi Ikegami

Growing Neural Cellular Automata (GNCA) develop complex morphologies from a single seed cell through shared local rules, yet the internal dynamics of this process remain poorly understood. To investigate how GNCA grows, the full developmental trajectory of trained GNCA models was…

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arxivcs.NEcs.AI2026-07-17

Evolutionary Algorithm-Guided LLMs for Physics-Informed Neural Network Design

Xu Yang, Mingyang Yu, Jing Xu, Keqian Li

Physics-informed neural networks (PINNs) are unusually sensitive to interacting choices of architecture, activation, loss weighting, collocation, optimization, and constraint enforcement. Large language models (LLMs) can propose these choices, but independent recommendations do n…

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arxivmath.OCcs.LGcs.NEmath.NA2026-07-16

Fast and Scalable Caputo Fractional Gradient Descent via Perturbation-Preserving Memory Compression

Hwanseo Lee, Junseo Lee, Hyunju Kim

Fractional gradient descent (FGD) incorporates long-range memory through Caputo-type operators and has been shown to improve stability in ill-conditioned and nonconvex optimization problems. Despite these advantages, its practical use remains limited, mainly due to the high compu…

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