https://github.com/bmorphism/neural-category-diagrams
A collection of diagrams exploring neural architectures through category theory
https://github.com/bmorphism/neural-category-diagrams
Last synced: 4 months ago
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A collection of diagrams exploring neural architectures through category theory
- Host: GitHub
- URL: https://github.com/bmorphism/neural-category-diagrams
- Owner: bmorphism
- Created: 2025-01-02T05:43:59.000Z (over 1 year ago)
- Default Branch: main
- Last Pushed: 2025-01-02T05:47:22.000Z (over 1 year ago)
- Last Synced: 2025-02-23T09:26:50.732Z (over 1 year ago)
- Size: 11.7 KB
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
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Metadata Files:
- Readme: README.md
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README
# Neural Category Theory Diagrams
This 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.
## Contents
### 1. [Neural Category Diagrams](neural-category.md)
- Basic Neural Morphisms
- Functorial Relationships
- Neural Networks as Presheaves
### 2. [BCI and Neural Wiring](bci-wiring.md)
- Signal Flow Architecture
- Category Theoretical View of BCI
- Neural State Space
### 3. [Ontological Categories](ontological-categories.md)
- E(GG) Ontology Machine
- Ontological Presheaf Structure
- Categorical Evolution
### 4. [MCP Action Diagrams](mcp-actions.md)
- Complete MCP Ecosystem Overview
- Service Categorization
- Tool Relationships
### 5. [MCP Data Flow Patterns](mcp-patterns.md)
- Data Flow Architecture
- Operation Patterns
- Composition Rules
## Diagram Types
The diagrams in this repository use multiple visualization techniques:
1. **Mermaid.js Diagrams**: For categorical and structural representations
- Neural network architectures
- Category theory relationships
- State space visualizations
2. **ASCII Art Diagrams**: For system and operational views
- MCP action relationships
- Data flow patterns
- Service interactions
## Key Concepts
### Category Theory Concepts
- **Categories**: Abstract containers for objects and morphisms
- **Functors**: Structure-preserving mappings between categories
- **Natural Transformations**: Systematic transformations between functors
- **Presheaves**: Contravariant functors for modeling relationships
### MCP Concepts
- **Tools**: Executable actions provided by MCP servers
- **Resources**: Data sources exposed through MCP
- **Servers**: Service providers implementing the MCP protocol
- **Composition**: Patterns for combining MCP operations
## Theoretical Framework
The diagrams combine concepts from:
- Category Theory
- Neural Network Architecture
- Brain-Computer Interfaces
- Ontological Engineering
- Model Context Protocol
## MCP Integration Patterns
1. **Discovery -> Processing -> Storage**
- Finding relevant data
- Processing and transformation
- Persistent storage
2. **External -> Transform -> Integration**
- External service interaction
- Data transformation
- System integration
3. **Analysis -> Synthesis -> Persistence**
- Data analysis
- Result synthesis
- State preservation
## Usage
These diagrams can be viewed directly on GitHub:
- Mermaid.js diagrams render automatically
- ASCII art diagrams display in fixed-width font
- Each diagram type emphasizes different aspects of the system
## Contributing
Contributions are welcome! Please feel free to submit pull requests with:
- New diagram types
- Additional MCP patterns
- Improved visualizations
- Documentation enhancements