What is the difference between Undirected and Directed modes?

Undirected mode (ResourceSharer) uses pushouts to identify shared state variables, common in physics and ecology. Directed mode (Machine) focuses on signal flow and port-to-port wiring, typical in control systems.

How does the Specter integration work?

It provides 'comp-navs' patterns that allow you to navigate and transform complex wiring diagrams using path-based selections (like wd_boxes or wd_wires) instead of manual iteration.

Can this skill handle nonlinear systems?

Yes, it supports Koopman integration which lifts nonlinear systems into infinite-dimensional linear systems, allowing them to be composed using standard oapply colimits.

What is oapply in the context of this skill?

oapply is a core operation in categorical modeling that evaluates an operad algebra. It takes a wiring diagram and a set of component systems, then computes their colimit to create a single, composite system.

Oapply Colimit: Compositional Systems Modeling

Name: Oapply Colimit: Compositional Systems Modeling
Author: plurigrid

byplurigrid

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数据科学与机器学习

Composes complex systems from individual components using category-theoretic colimits and bidirectional wiring diagram navigation.

The oapply-colimit skill enables Claude to manage and evaluate operad algebras for compositional modeling. By treating composition as a colimit, it allows users to glue together individual dynamics—such as ResourceSharers or Machines—into unified composite systems. It integrates deeply with the AlgebraicJulia ecosystem, utilizing Specter-style patterns for efficient bidirectional navigation of wiring diagrams and supporting both directed signal flows and undirected state-sharing architectures. This is ideal for developers building scientific simulations, control systems, or complex ACSet transformations.

主要功能

01Bidirectional navigation of wiring diagrams using Specter-style navigators

02Sexp serialization for wiring diagram round-tripping and inspection

03Colimit-based system composition via the oapply pattern

04Integration with Koopman operators for lifting nonlinear systems into linear compositions

052 GitHub stars

06Support for both Undirected (ResourceSharer) and Directed (Machine) composition modes

使用场景

01Designing hierarchical control systems using signal-flow wiring diagrams

02Modeling ecological or chemical systems by composing shared population dynamics

03Automating the transformation and renaming of large-scale ACSet structures

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi oapply-colimit

For use in Claude.ai and ChatGPT

Download Skill