{"id":23960853,"url":"https://github.com/bmorphism/neural-category-diagrams","last_synced_at":"2026-03-03T13:31:14.658Z","repository":{"id":270651894,"uuid":"911043040","full_name":"bmorphism/neural-category-diagrams","owner":"bmorphism","description":"A collection of diagrams exploring neural architectures through category theory","archived":false,"fork":false,"pushed_at":"2025-01-02T05:47:22.000Z","size":12,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-02-23T09:26:50.732Z","etag":null,"topics":[],"latest_commit_sha":null,"homepage":null,"language":null,"has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/bmorphism.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2025-01-02T05:43:59.000Z","updated_at":"2025-01-02T05:47:26.000Z","dependencies_parsed_at":"2025-01-02T06:40:30.236Z","dependency_job_id":"4ea1ff8f-a278-444e-82d6-3616468a40c4","html_url":"https://github.com/bmorphism/neural-category-diagrams","commit_stats":null,"previous_names":["bmorphism/neural-category-diagrams"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/bmorphism%2Fneural-category-diagrams","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/bmorphism%2Fneural-category-diagrams/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/bmorphism%2Fneural-category-diagrams/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/bmorphism%2Fneural-category-diagrams/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/bmorphism","download_url":"https://codeload.github.com/bmorphism/neural-category-diagrams/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":240483181,"owners_count":19808630,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":[],"created_at":"2025-01-06T19:57:06.769Z","updated_at":"2026-03-03T13:31:09.638Z","avatar_url":"https://github.com/bmorphism.png","language":null,"funding_links":[],"categories":[],"sub_categories":[],"readme":"# Neural Category Theory Diagrams\n\nThis repository contains a collection of diagrams exploring the intersection of neural architectures, category theory, brain-computer interfaces, and MCP (Model Context Protocol) interactions through the lens of categorical relationships and morphisms.\n\n## Contents\n\n### 1. [Neural Category Diagrams](neural-category.md)\n- Basic Neural Morphisms\n- Functorial Relationships\n- Neural Networks as Presheaves\n\n### 2. [BCI and Neural Wiring](bci-wiring.md)\n- Signal Flow Architecture\n- Category Theoretical View of BCI\n- Neural State Space\n\n### 3. [Ontological Categories](ontological-categories.md)\n- E(GG) Ontology Machine\n- Ontological Presheaf Structure\n- Categorical Evolution\n\n### 4. [MCP Action Diagrams](mcp-actions.md)\n- Complete MCP Ecosystem Overview\n- Service Categorization\n- Tool Relationships\n\n### 5. [MCP Data Flow Patterns](mcp-patterns.md)\n- Data Flow Architecture\n- Operation Patterns\n- Composition Rules\n\n## Diagram Types\n\nThe diagrams in this repository use multiple visualization techniques:\n\n1. **Mermaid.js Diagrams**: For categorical and structural representations\n   - Neural network architectures\n   - Category theory relationships\n   - State space visualizations\n\n2. **ASCII Art Diagrams**: For system and operational views\n   - MCP action relationships\n   - Data flow patterns\n   - Service interactions\n\n## Key Concepts\n\n### Category Theory Concepts\n- **Categories**: Abstract containers for objects and morphisms\n- **Functors**: Structure-preserving mappings between categories\n- **Natural Transformations**: Systematic transformations between functors\n- **Presheaves**: Contravariant functors for modeling relationships\n\n### MCP Concepts\n- **Tools**: Executable actions provided by MCP servers\n- **Resources**: Data sources exposed through MCP\n- **Servers**: Service providers implementing the MCP protocol\n- **Composition**: Patterns for combining MCP operations\n\n## Theoretical Framework\n\nThe diagrams combine concepts from:\n- Category Theory\n- Neural Network Architecture\n- Brain-Computer Interfaces\n- Ontological Engineering\n- Model Context Protocol\n\n## MCP Integration Patterns\n\n1. **Discovery -\u003e Processing -\u003e Storage**\n   - Finding relevant data\n   - Processing and transformation\n   - Persistent storage\n\n2. **External -\u003e Transform -\u003e Integration**\n   - External service interaction\n   - Data transformation\n   - System integration\n\n3. **Analysis -\u003e Synthesis -\u003e Persistence**\n   - Data analysis\n   - Result synthesis\n   - State preservation\n\n## Usage\n\nThese diagrams can be viewed directly on GitHub:\n- Mermaid.js diagrams render automatically\n- ASCII art diagrams display in fixed-width font\n- Each diagram type emphasizes different aspects of the system\n\n## Contributing\n\nContributions are welcome! Please feel free to submit pull requests with:\n- New diagram types\n- Additional MCP patterns\n- Improved visualizations\n- Documentation enhancements","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fbmorphism%2Fneural-category-diagrams","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fbmorphism%2Fneural-category-diagrams","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fbmorphism%2Fneural-category-diagrams/lists"}