From 30b11dfb3a63e28ff593978bd58cef2c3c8926d5 Mon Sep 17 00:00:00 2001 From: Daniel Ari Friedman Date: Fri, 7 Feb 2025 12:22:16 -0800 Subject: [PATCH] Updates --- .obsidian/graph.json | 6 +- .obsidian/workspace.json | 70 +-- InferAnt_Stream_10.md | 10 - docs/tools/advanced_linking.md | 209 +++++++++ docs/tools/automation_scripts.md | 255 +++++++++++ docs/tools/network_analysis.md | 196 +++++++++ docs/tools/obsidian_usage.md | 294 ++++++++++++- .../agents/GenericPOMDP/matrices/B_matrix.md | 413 +++++++++++++----- .../GenericPOMDP/state_spaces/o_space.md | 234 ++++++++++ knowledge_base/cognitive/active_inference.md | 127 ++++++ 10 files changed, 1664 insertions(+), 150 deletions(-) create mode 100644 docs/tools/advanced_linking.md create mode 100644 docs/tools/automation_scripts.md create mode 100644 docs/tools/network_analysis.md diff --git a/.obsidian/graph.json b/.obsidian/graph.json index 19a7b9a..a133e4d 100644 --- a/.obsidian/graph.json +++ b/.obsidian/graph.json @@ -1,6 +1,6 @@ { - "collapse-filter": true, - "search": "", + "collapse-filter": false, + "search": "b_matrix", "showTags": false, "showAttachments": false, "hideUnresolved": false, @@ -17,6 +17,6 @@ "repelStrength": 10, "linkStrength": 1, "linkDistance": 250, - "scale": 0.10211738474028514, + "scale": 0.47740336513521825, "close": false } \ No newline at end of file diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index 3497cc6..f32b0b7 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -6,7 +6,7 @@ { "id": "dea337cf76935a08", "type": "tabs", - "dimension": 30.51643192488263, + "dimension": 37.01657458563536, "children": [ { "id": "0ba8a1b9b9dd949a", @@ -14,12 +14,12 @@ "state": { "type": "markdown", "state": { - "file": "InferAnt_Stream_10.md", + "file": "knowledge_base/cognitive/cognitive_phenomena.md", "mode": "source", "source": false }, "icon": "lucide-file", - "title": "InferAnt_Stream_10" + "title": "cognitive_phenomena" } }, { @@ -44,7 +44,7 @@ { "id": "109379312b857b11", "type": "tabs", - "dimension": 69.48356807511738, + "dimension": 62.98342541436463, "children": [ { "id": "52d3928d1a582e57", @@ -129,6 +129,7 @@ "state": { "type": "backlink", "state": { + "file": "knowledge_base/cognitive/cognitive_phenomena.md", "collapseAll": false, "extraContext": false, "sortOrder": "alphabetical", @@ -138,7 +139,7 @@ "unlinkedCollapsed": true }, "icon": "links-coming-in", - "title": "Backlinks" + "title": "Backlinks for cognitive_phenomena" } }, { @@ -147,11 +148,12 @@ "state": { "type": "outgoing-link", "state": { + "file": "knowledge_base/cognitive/cognitive_phenomena.md", "linksCollapsed": false, "unlinkedCollapsed": true }, "icon": "links-going-out", - "title": "Outgoing links" + "title": "Outgoing links from cognitive_phenomena" } }, { @@ -175,12 +177,13 @@ "state": { "type": "outline", "state": { + "file": "knowledge_base/cognitive/cognitive_phenomena.md", "followCursor": false, "showSearch": false, "searchQuery": "" }, "icon": "lucide-list", - "title": "Outline" + "title": "Outline of cognitive_phenomena" } } ] @@ -200,9 +203,34 @@ "command-palette:Open command palette": false } }, - "active": "52d3928d1a582e57", + "active": "0ba8a1b9b9dd949a", "lastOpenFiles": [ + "knowledge_base/cognitive/bayesian_brain.md", + "knowledge_base/agents/GenericPOMDP/matrices/E_matrix.md", + "knowledge_base/agents/GenericPOMDP/matrices/D_matrix.md", + "knowledge_base/agents/GenericPOMDP/matrices/B_matrix.md", + "knowledge_base/agents/GenericPOMDP/matrices/A_matrix.md", "InferAnt_Stream_10.md", + "docs/guides/pomdp_structure.md", + "knowledge_base/agents/GenericPOMDP/matrices/C_matrix.md", + "knowledge_base/agents/GenericPOMDP/state_spaces/s_space.md", + "knowledge_base/agents/GenericPOMDP/state_spaces/o_space.md", + "knowledge_base/mathematics/information_theory.md", + "docs/tools/automation_scripts.md", + "docs/tools/advanced_linking.md", + "knowledge_base/systems/systems_theory.md", + "docs/tools/network_analysis.md", + "docs/tools/obsidian_usage.md", + "docs/tools/development_tools_index.md", + "docs/tools/development_tools.md", + "docs/tools/cursor_integration.md", + "docs/templates/cognitive_concept.md", + "docs/research/ant_colony_active_inference.md", + "docs/guides/linking_validation.md", + "docs/examples/index.md", + "docs/concepts/machine_readability.md", + "docs/api/api_versioning.md", + "docs/api/api_reference.md", "Things/BioFirm/output/20250207_113935/results/advanced_report_resilience_pulse.txt", "Things/BioFirm/output/20250207_113935/results/stats_report_resilience_pulse.txt", "Things/BioFirm/output/20250207_113935/visualizations/causal_resilience_pulse.png", @@ -223,30 +251,6 @@ "Things/BioFirm/output/20250207_113935/results/resilience_pulse.yaml", "Things/BioFirm/output/20250207_113935/results/resilience_press.yaml", "Things/BioFirm/output/20250207_113935/results/resilience_shock.yaml", - "Canvas.canvas", - "knowledge_base/systems/index.md", - "knowledge_base/mathematics/index.md", - "knowledge_base/index.md", - "knowledge_base/agents/index.md", - "knowledge_base/agents/README.md", - "docs/tools/index.md", - "docs/templates/research_document.md", - "docs/templates/learning_path.md", - "docs/templates/implementation_example.md", - "docs/templates/cognitive_concept.md", - "docs/research/index.md", - "docs/research/ant_colony_active_inference.md", - "docs/guides/learning_paths/swarm_intelligence.md", - "docs/guides/learning_paths/pomdp_framework.md", - "docs/guides/learning_paths/index.md", - "docs/guides/learning_paths/active_inference.md", - "docs/guides/implementation/active_inference_agent.md", - "docs/examples/index.md", - "docs/concepts/index.md", - "Things/BioFirm/docs/earth_systems_schema.md", - "src/models/active_inference/docs/biofirm_schema.md", - "Things/Ant_Colony/Ant_Colony_README.md", - "src/models/active_inference/docs/dispatcher.md", - "src/models/active_inference/docs/active_inference_dispatcher.md" + "Canvas.canvas" ] } \ No newline at end of file diff --git a/InferAnt_Stream_10.md b/InferAnt_Stream_10.md index ab30812..d049cf1 100644 --- a/InferAnt_Stream_10.md +++ b/InferAnt_Stream_10.md @@ -10,16 +10,6 @@ ## Agenda -### 1. Introduction - -- Welcome and overview of [[obsidian_usage]] and [[active_inference]] and [[free_energy_principle]] -- Context from previous streams -- Today's objectives and roadmap -- Development environment setup - - Cursor configuration - - Obsidian knowledge base structure - - GitHub repository organization - ### 2. Theoretical Foundations - Active Inference Framework diff --git a/docs/tools/advanced_linking.md b/docs/tools/advanced_linking.md new file mode 100644 index 0000000..0446825 --- /dev/null +++ b/docs/tools/advanced_linking.md @@ -0,0 +1,209 @@ +# Advanced Linking in Obsidian + +## Overview + +Advanced linking in Obsidian goes beyond simple note connections to create rich, contextual relationships between pieces of knowledge. This guide covers sophisticated linking techniques and best practices for building a robust knowledge network. + +## Link Types + +### Basic Links +- [[internal_links]] - Note connections + - Wiki-style links `[[note]]` + - Aliased links `[[note|alias]]` + - Case sensitivity +- [[external_links]] - Outside references + - URLs `[text](url)` + - File links + - Protocol handling +- [[embedded_links]] - Content inclusion + - Image embedding `![[image]]` + - PDF embedding + - Note embedding + +### Block References +- [[block_links]] - Specific content + - Block IDs `^block-id` + - Block embedding + - Block transcluding +- [[heading_links]] - Section references + - Heading navigation + - Multi-level headings + - Heading aliases +- [[line_links]] - Line references + - Line numbers + - Line ranges + - Line context + +### Dynamic Links +- [[query_links]] - Dynamic content + - Search queries + - Tag filters + - Property filters +- [[templated_links]] - Template usage + - Variable substitution + - Context awareness + - Dynamic generation +- [[computed_links]] - Generated links + - Dataview queries + - JavaScript execution + - Template processing + +## Link Patterns + +### Organizational Patterns +- [[hierarchical_links]] - Structure + - Parent-child relationships + - Ancestry tracking + - Descendant mapping +- [[network_links]] - Connections + - Hub-and-spoke + - Mesh networking + - Ring topology +- [[semantic_links]] - Meaning + - Concept relationships + - Topic connections + - Knowledge mapping + +### Usage Patterns +- [[reference_patterns]] - Citation + - Source linking + - Quote referencing + - Bibliography management +- [[annotation_patterns]] - Notes + - Margin notes + - Comments + - Highlights +- [[workflow_patterns]] - Process + - Task linking + - Project organization + - Status tracking + +## Advanced Techniques + +### Link Enhancement +- [[link_metadata]] - Additional data + - Properties + - Attributes + - Context +- [[link_styling]] - Visual cues + - CSS classes + - Custom styling + - Visual indicators +- [[link_behavior]] - Interaction + - Click handling + - Hover effects + - Context menus + +### Link Management +- [[link_maintenance]] - Upkeep + - Broken link detection + - Link validation + - Link updating +- [[link_organization]] - Structure + - Link categorization + - Link grouping + - Link filtering +- [[link_analysis]] - Understanding + - Link metrics + - Usage patterns + - Impact analysis + +## Integration Features + +### Plugin Integration +- [[link_plugins]] - Extensions + - Link enhancers + - Link managers + - Link analyzers +- [[automation_tools]] - Processing + - Link generation + - Link validation + - Link maintenance +- [[visualization_tools]] - Display + - Link maps + - Link graphs + - Link hierarchies + +### External Tools +- [[reference_managers]] - Citations + - Zotero integration + - Mendeley support + - Citation export +- [[note_taking_apps]] - Notes + - Evernote import + - OneNote conversion + - Notion sync +- [[knowledge_bases]] - Knowledge + - Wiki integration + - Database connection + - API access + +## Best Practices + +### Link Design +- [[link_architecture]] - Structure + - Link taxonomy + - Relationship types + - Navigation paths +- [[link_conventions]] - Standards + - Naming conventions + - Format standards + - Style guides +- [[link_governance]] - Management + - Quality control + - Maintenance procedures + - Review processes + +### Implementation +- [[link_implementation]] - Setup + - Configuration + - Templates + - Automation +- [[link_deployment]] - Usage + - Rollout strategy + - User training + - Documentation +- [[link_monitoring]] - Tracking + - Usage analytics + - Health checks + - Performance metrics + +## Troubleshooting + +### Common Issues +- [[broken_links]] - Failures + - Detection + - Resolution + - Prevention +- [[performance_issues]] - Speed + - Link volume + - Processing time + - Resource usage +- [[sync_problems]] - Coordination + - Version conflicts + - Update issues + - Sync failures + +### Solutions +- [[issue_resolution]] - Fixes + - Common solutions + - Workarounds + - Best practices +- [[optimization_techniques]] - Improvement + - Performance tuning + - Resource optimization + - Process streamlining +- [[maintenance_procedures]] - Upkeep + - Regular checks + - Updates + - Cleanup + +## References +- [[linking_documentation]] +- [[markdown_reference]] +- [[obsidian_help]] + +## See Also +- [[knowledge_management]] +- [[note_organization]] +- [[workflow_optimization]] \ No newline at end of file diff --git a/docs/tools/automation_scripts.md b/docs/tools/automation_scripts.md new file mode 100644 index 0000000..ca62e54 --- /dev/null +++ b/docs/tools/automation_scripts.md @@ -0,0 +1,255 @@ +# Automation and Scripting in Obsidian + +## Overview + +Automation and scripting in Obsidian enables powerful workflows for knowledge management and content processing. This guide covers various automation techniques, from simple templates to complex scripting solutions. + +## Templating System + +### Basic Templates +- [[template_syntax]] - Template language + - Variables + - Conditionals + - Loops +- [[template_usage]] - Implementation + - Template insertion + - Template folders + - Hotkeys +- [[template_organization]] - Management + - Folder structure + - Naming conventions + - Version control + +### Dynamic Templates +- [[templater_plugin]] - Enhanced templates + - JavaScript execution + - System commands + - File operations +- [[dynamic_content]] - Generated content + - Date/time + - File properties + - System variables +- [[template_functions]] - Custom functions + - User scripts + - Utility functions + - Helper methods + +## Scripting + +### JavaScript Integration +- [[quickadd_scripts]] - Quick operations + - File creation + - Content insertion + - Batch processing +- [[dataview_scripts]] - Data manipulation + - Query execution + - Data transformation + - Result formatting +- [[custom_scripts]] - User scripts + - Script editor + - Script library + - Debug tools + +### Automation Tools +- [[file_operations]] - File management + - Creation + - Modification + - Deletion +- [[content_processing]] - Text handling + - Parsing + - Transformation + - Generation +- [[metadata_management]] - Property handling + - YAML frontmatter + - Custom properties + - Bulk updates + +## Workflow Automation + +### Task Automation +- [[task_scripts]] - Task management + - Creation + - Assignment + - Tracking +- [[project_automation]] - Project handling + - Setup + - Monitoring + - Reporting +- [[review_automation]] - Review process + - Scheduling + - Notification + - Follow-up + +### Content Automation +- [[note_creation]] - New content + - Templates + - Properties + - Links +- [[content_updates]] - Modifications + - Batch updates + - Link maintenance + - Format standardization +- [[archive_automation]] - Archival + - Criteria + - Process + - Recovery + +## Integration + +### External Tools +- [[git_integration]] - Version control + - Commit automation + - Branch management + - Sync operations +- [[api_integration]] - External APIs + - REST calls + - Webhooks + - Data exchange +- [[tool_integration]] - Other tools + - Calendar + - Task managers + - Note apps + +### System Integration +- [[file_system]] - Storage + - File watching + - Directory sync + - Backup automation +- [[database_integration]] - Data storage + - Query execution + - Data sync + - Cache management +- [[network_operations]] - Communication + - HTTP requests + - WebSocket + - File transfer + +## Advanced Features + +### Custom Solutions +- [[custom_commands]] - Command creation + - Command palette + - Hotkeys + - Menu items +- [[custom_interfaces]] - UI elements + - Modal dialogs + - Status bar + - Notifications +- [[custom_views]] - Visualizations + - Data views + - Custom panels + - Interactive elements + +### Workflow Design +- [[workflow_builder]] - Process design + - Step definition + - Flow control + - Error handling +- [[trigger_system]] - Event handling + - Event types + - Conditions + - Actions +- [[scheduler]] - Timing control + - Scheduling + - Intervals + - Delays + +## Development + +### Plugin Development +- [[plugin_creation]] - New plugins + - Setup + - Structure + - Publishing +- [[api_usage]] - Obsidian API + - Core API + - Plugin API + - Community API +- [[testing_framework]] - Quality assurance + - Unit tests + - Integration tests + - User testing + +### Debugging +- [[debug_tools]] - Development tools + - Console + - Debugger + - Logging +- [[error_handling]] - Problem management + - Error types + - Recovery + - Reporting +- [[performance_monitoring]] - Optimization + - Profiling + - Benchmarking + - Optimization + +## Best Practices + +### Code Organization +- [[code_structure]] - Organization + - File layout + - Module design + - Dependencies +- [[coding_standards]] - Standards + - Style guide + - Documentation + - Testing +- [[version_control]] - Management + - Git workflow + - Releases + - Updates + +### Security +- [[security_practices]] - Protection + - Input validation + - Sanitization + - Permissions +- [[data_safety]] - Data handling + - Backup + - Recovery + - Privacy +- [[access_control]] - Restrictions + - User roles + - Capabilities + - Limitations + +## Troubleshooting + +### Common Issues +- [[script_errors]] - Problems + - Syntax errors + - Runtime errors + - Logic errors +- [[performance_issues]] - Speed + - Bottlenecks + - Memory usage + - CPU usage +- [[compatibility_problems]] - Conflicts + - Version issues + - Plugin conflicts + - Platform differences + +### Solutions +- [[error_resolution]] - Fixes + - Diagnosis + - Resolution + - Prevention +- [[optimization_guide]] - Improvement + - Code optimization + - Resource usage + - Workflow efficiency +- [[maintenance_procedures]] - Upkeep + - Updates + - Cleanup + - Documentation + +## References +- [[automation_documentation]] +- [[scripting_guide]] +- [[api_reference]] + +## See Also +- [[workflow_optimization]] +- [[development_tools]] +- [[system_integration]] \ No newline at end of file diff --git a/docs/tools/network_analysis.md b/docs/tools/network_analysis.md new file mode 100644 index 0000000..2decb02 --- /dev/null +++ b/docs/tools/network_analysis.md @@ -0,0 +1,196 @@ +# Network Analysis in Obsidian + +## Overview + +Network analysis in Obsidian provides powerful tools for understanding and optimizing your knowledge graph. This guide covers the key concepts, tools, and techniques for analyzing and improving your knowledge network. + +## Core Concepts + +### Graph Theory Basics +- [[nodes_and_edges]] - Basic network components + - Nodes (notes/files) + - Edges (links/relationships) + - Directionality +- [[graph_metrics]] - Measurement tools + - Degree centrality + - Betweenness centrality + - Clustering coefficient +- [[network_topology]] - Structure patterns + - Hub-and-spoke + - Mesh networks + - Hierarchical structures + +### Knowledge Networks +- [[knowledge_graphs]] - Information networks + - Concept mapping + - Relationship types + - Semantic networks +- [[network_evolution]] - Growth patterns + - Organic growth + - Planned expansion + - Refactoring +- [[network_health]] - Quality metrics + - Connectivity + - Coverage + - Coherence + +## Analysis Tools + +### Built-in Tools +- [[graph_view]] - Visual analysis + - Layout options + - Filtering + - Grouping +- [[local_graph]] - Note context + - Immediate connections + - Depth settings + - Filter options +- [[backlinks]] - Reference tracking + - Incoming links + - Outgoing links + - Unlinked mentions + +### Community Plugins +- [[network_analysis_plugins]] - Extended tools + - Graph analysis + - Visualization + - Metrics +- [[dataview_analysis]] - Data queries + - Network queries + - Relationship analysis + - Custom views +- [[graph_visualization]] - Enhanced display + - Custom layouts + - Styling options + - Interactive features + +## Analysis Techniques + +### Structural Analysis +- [[centrality_analysis]] - Node importance + - Degree centrality + - Eigenvector centrality + - PageRank +- [[cluster_analysis]] - Group detection + - Community detection + - Topic clustering + - Hierarchical clustering +- [[path_analysis]] - Connection routes + - Shortest paths + - Alternative paths + - Bridge identification + +### Content Analysis +- [[semantic_analysis]] - Meaning extraction + - Topic modeling + - Content similarity + - Semantic relationships +- [[metadata_analysis]] - Property analysis + - Tag analysis + - Attribute patterns + - Temporal analysis +- [[link_analysis]] - Connection patterns + - Link types + - Link strength + - Link quality + +## Optimization Strategies + +### Network Improvement +- [[network_cleanup]] - Maintenance + - Broken links + - Orphaned notes + - Duplicate content +- [[network_organization]] - Structure + - Topic grouping + - Hierarchy design + - Link patterns +- [[network_growth]] - Expansion + - New connections + - Content gaps + - Integration points + +### Quality Assurance +- [[quality_metrics]] - Measurement + - Completeness + - Consistency + - Coherence +- [[quality_improvement]] - Enhancement + - Link quality + - Content quality + - Structure quality +- [[quality_monitoring]] - Tracking + - Health checks + - Progress tracking + - Issue detection + +## Best Practices + +### Network Design +- [[network_architecture]] - Structure design + - Modularity + - Scalability + - Maintainability +- [[linking_strategies]] - Connection methods + - When to link + - How to link + - Link types +- [[growth_patterns]] - Evolution + - Organic growth + - Planned expansion + - Refactoring + +### Maintenance +- [[regular_maintenance]] - Upkeep + - Daily checks + - Weekly reviews + - Monthly audits +- [[issue_resolution]] - Problem solving + - Common issues + - Solutions + - Prevention +- [[optimization_cycles]] - Improvement + - Analysis + - Planning + - Implementation + +## Advanced Topics + +### Custom Analysis +- [[custom_metrics]] - Measurement + - Metric design + - Implementation + - Validation +- [[custom_visualizations]] - Display + - Layout design + - Styling + - Interaction +- [[custom_algorithms]] - Processing + - Analysis methods + - Optimization + - Automation + +### Integration +- [[external_tools]] - Tool connection + - Network analysis tools + - Visualization tools + - Data analysis tools +- [[data_export]] - Information sharing + - Export formats + - Integration points + - Analysis sharing +- [[automation]] - Process automation + - Analysis automation + - Reporting + - Maintenance + +## References +- [[graph_theory_basics]] +- [[network_analysis_tools]] +- [[visualization_techniques]] +- [[optimization_methods]] + +## See Also +- [[knowledge_management]] +- [[data_visualization]] +- [[system_optimization]] \ No newline at end of file diff --git a/docs/tools/obsidian_usage.md b/docs/tools/obsidian_usage.md index 88776c6..cb2592b 100644 --- a/docs/tools/obsidian_usage.md +++ b/docs/tools/obsidian_usage.md @@ -174,4 +174,296 @@ See [[troubleshooting]] for solutions. ## References - [Obsidian Documentation](https://help.obsidian.md) - [[code_organization]] -- [[contribution_guide]] \ No newline at end of file +- [[contribution_guide]] + +## Advanced Features + +### Graph Analysis Tools +- [[network_metrics]] - Analyzing knowledge structure + - Centrality measures + - Clustering coefficients + - Path analysis +- [[graph_layouts]] - Visualization options + - Force-directed + - Hierarchical + - Circular +- [[graph_filtering]] - Custom views + - Tag-based filters + - Node type filters + - Relationship filters + +### Knowledge Management Patterns + +#### Information Architecture +- [[information_architecture]] - Structural design + - Hierarchical organization + - Networked relationships + - Semantic grouping +- [[metadata_management]] - Content enrichment + - YAML frontmatter + - Custom properties + - Automatic tracking +- [[content_lifecycle]] - Document management + - Creation workflows + - Review processes + - Archival procedures + +#### Advanced Linking +- [[advanced_linking]] - Complex connections + - Embedded links + - Aliased references + - Block references +- [[transclusion_patterns]] - Content reuse + - Block embedding + - File embedding + - Dynamic content +- [[semantic_relationships]] - Meaning connections + - Typed links + - Relationship metadata + - Semantic networks + +### Automation and Scripting + +#### Custom Scripts +- [[automation_scripts]] - Task automation + - File creation + - Content processing + - Batch operations +- [[templater_scripts]] - Dynamic templates + - Context-aware templates + - Dynamic content + - Conditional logic +- [[dataview_queries]] - Data extraction + - Custom queries + - Data visualization + - Report generation + +#### Integration Points +- [[api_integration]] - External connections + - REST APIs + - GraphQL endpoints + - Webhook triggers +- [[plugin_development]] - Custom extensions + - Plugin architecture + - API documentation + - Development guides +- [[automation_workflows]] - Process automation + - GitHub Actions + - Local scripts + - Scheduled tasks + +### Collaborative Features + +#### Multi-User Workflows +- [[collaboration_patterns]] - Team practices + - Shared repositories + - Change management + - Conflict resolution +- [[review_workflows]] - Content review + - Peer review process + - Quality assurance + - Version control +- [[knowledge_sharing]] - Team learning + - Best practices + - Learning resources + - Knowledge transfer + +#### Version Control +- [[git_workflows]] - Source control + - Branch management + - Merge strategies + - Conflict resolution +- [[backup_strategies]] - Data protection + - Automated backups + - Recovery procedures + - Redundancy planning +- [[change_tracking]] - History management + - Version history + - Change logs + - Audit trails + +### Advanced Visualization + +#### Custom Views +- [[custom_views]] - Specialized displays + - Timeline views + - Kanban boards + - Mind maps +- [[data_visualization]] - Information display + - Charts and graphs + - Data tables + - Interactive diagrams +- [[presentation_mode]] - Content sharing + - Slide shows + - Live presentations + - Export formats + +#### Network Analysis +- [[network_analysis]] - Graph analytics + - Centrality metrics + - Cluster analysis + - Path optimization +- [[visualization_techniques]] - Display methods + - Layout algorithms + - Color schemes + - Interactive features +- [[pattern_recognition]] - Structure analysis + - Common patterns + - Anti-patterns + - Best practices + +### System Integration + +#### Development Tools +- [[ide_integration]] - Code editing + - Cursor integration + - VSCode workflow + - Git support +- [[build_tools]] - Project management + - Task runners + - Build scripts + - Deploy processes +- [[testing_framework]] - Quality assurance + - Unit tests + - Integration tests + - Documentation tests + +#### External Tools +- [[external_tools]] - Tool connections + - Reference managers + - Note-taking apps + - Task managers +- [[data_exchange]] - Information flow + - Import/export + - Sync protocols + - Data migration +- [[api_documentation]] - Interface specs + - REST APIs + - GraphQL schemas + - WebSocket endpoints + +## Performance Optimization + +### Content Organization +- [[content_structure]] - File organization + - Directory layouts + - Naming conventions + - File grouping +- [[indexing_strategies]] - Quick access + - Search indexing + - Tag systems + - Metadata indexing +- [[cache_management]] - Performance + - File caching + - Search caching + - Graph caching + +### Resource Management +- [[resource_optimization]] - System efficiency + - Memory usage + - CPU utilization + - Storage management +- [[scaling_strategies]] - Growth handling + - Large vaults + - Many files + - Complex graphs +- [[backup_management]] - Data protection + - Backup strategies + - Recovery plans + - Archive policies + +## Security and Privacy + +### Access Control +- [[access_management]] - Permission systems + - User roles + - File permissions + - Share settings +- [[encryption_options]] - Data protection + - File encryption + - Key management + - Secure sharing +- [[audit_logging]] - Activity tracking + - User actions + - System events + - Change history + +### Data Protection +- [[data_security]] - Information safety + - Encryption methods + - Secure storage + - Safe sharing +- [[privacy_controls]] - Information control + - Data visibility + - Access logging + - Usage tracking +- [[compliance_management]] - Regulation adherence + - Data regulations + - Privacy laws + - Industry standards + +## Maintenance and Support + +### System Maintenance +- [[maintenance_procedures]] - Upkeep tasks + - Regular checks + - Updates + - Optimization +- [[troubleshooting_guide]] - Problem solving + - Common issues + - Solutions + - Prevention +- [[support_resources]] - Help access + - Documentation + - Community + - Professional support + +### Documentation +- [[documentation_standards]] - Writing guides + - Style guides + - Templates + - Best practices +- [[api_documentation]] - Interface docs + - Endpoints + - Parameters + - Examples +- [[user_guides]] - Usage docs + - Tutorials + - How-tos + - Reference guides + +## References and Resources + +### Official Resources +- [Obsidian Documentation](https://help.obsidian.md) +- [Obsidian Forum](https://forum.obsidian.md) +- [Obsidian Discord](https://discord.gg/obsidian) + +### Community Resources +- [[community_plugins]] - Plugin list +- [[theme_gallery]] - Visual themes +- [[snippet_library]] - Code snippets +- [[template_collection]] - Template examples + +### Learning Resources +- [[tutorial_series]] - Learning guides +- [[best_practices]] - Usage tips +- [[example_vaults]] - Sample setups +- [[video_tutorials]] - Visual guides + +## Appendices + +### Configuration Reference +- [[config_options]] - Settings guide +- [[hotkey_reference]] - Keyboard shortcuts +- [[plugin_settings]] - Plugin configuration + +### Template Library +- [[note_templates]] - Content templates +- [[frontmatter_templates]] - Metadata templates +- [[script_templates]] - Code templates + +### Glossary +- [[terminology]] - Key terms +- [[abbreviations]] - Common shortcuts +- [[file_formats]] - Supported formats \ No newline at end of file diff --git a/knowledge_base/agents/GenericPOMDP/matrices/B_matrix.md b/knowledge_base/agents/GenericPOMDP/matrices/B_matrix.md index 605293f..2ca7914 100644 --- a/knowledge_base/agents/GenericPOMDP/matrices/B_matrix.md +++ b/knowledge_base/agents/GenericPOMDP/matrices/B_matrix.md @@ -2,129 +2,336 @@ type: matrix_spec id: B_matrix_001 matrix_type: transition -created: {{date}} -modified: {{date}} -tags: [matrix, transition, active-inference] -related_spaces: [s_space, pi_space] +created: 2024-03-15 +modified: 2024-03-15 +complexity: advanced +tags: + - matrix + - transition + - active-inference + - dynamics + - probability + - control +related_spaces: + - [[s_space]] + - [[pi_space]] + - [[belief_space]] +semantic_relations: + - type: implements + links: + - [[markov_property]] + - [[transition_model]] + - type: influences + links: + - [[policy_selection]] + - [[state_prediction]] + - type: relates_to + links: + - [[dynamics_model]] + - [[control_theory]] --- -# B-Matrix (Transition/Dynamics) +## Overview -## Definition -The B-matrix defines state transition probabilities under different actions, representing P(s'|s,π) where s' is the next state, s is the current state, and π is the selected policy/action. +The B-matrix is a fundamental component in POMDPs and active inference frameworks, representing state transition probabilities under different actions. It encodes the dynamics of the environment and how actions influence state changes, forming the basis for prediction, planning, and control. -## Matrix Structure -```yaml -dimensions: - rows: num_states # From [[s_space]] (next state) - cols: num_states # From [[s_space]] (current state) - depth: num_actions # From [[pi_space]] (actions) -shape_constraints: - - rows == cols # Same state space for transitions - - sum(rows) == 1.0 # Each column per action sums to 1 - - all_values >= 0 # Probability constraints -``` +## Core Concepts -## Mathematical Form -```python -# Transition probability -P(s'|s,π) = B[s', s, π] +### Fundamental Definition +- [[transition_probability]] - Basic concept + - Conditional probability P(s'|s,π) + - State transitions + - Action influence + - Temporal dynamics + +### Key Properties +- [[markov_property]] - Memory independence + - History independence + - Current state sufficiency + - Future prediction + +### Structural Characteristics +- [[matrix_structure]] - Organization + - Dimensionality + - Sparsity patterns + - Symmetry properties + - Conservation laws + +## Mathematical Framework + +### Formal Definition +```math +B_{ijk} = P(s'_i|s_j,π_k) # Constraints -∀s,π: ∑_{s'} B[s',s,π] = 1 # Row-wise normalization per action -B[s',s,π] ≥ 0 # Non-negative probabilities +∑_i B_{ijk} = 1 ∀j,k +B_{ijk} ≥ 0 ∀i,j,k ``` -## Data Structure +### Matrix Structure ```yaml -matrix_data: - format: numpy.ndarray - dtype: float32 - shape: [num_states, num_states, num_actions] - initialization: identity_based # Start with strong self-transitions - storage: matrix_store/B_matrix.npy +dimensions: + rows: num_states # Next state (s') + cols: num_states # Current state (s) + depth: num_actions # Actions/policies (π) +constraints: + probability: + - sum(axis=0) == 1.0 # Column-wise normalization + - all_values >= 0 # Non-negative probabilities + structure: + - rows == cols # Square matrix per action + - depth == num_policies ``` -## Visualization -```yaml -plot_type: multi_heatmap -colormap: "Blues" -title: "Transition Matrices (B) per Action" -xlabel: "Current State" -ylabel: "Next State" -slices: "Actions" -``` +### Probabilistic Properties +- [[transition_properties]] - Characteristics + - Stochasticity + - Ergodicity + - Reversibility + - Detailed balance -## Update Rules -- [[gradient_B]] - Learning transitions from experience -- [[structure_learning_B]] - Learning causal structure -- [[control_adaptation_B]] - Adapting to control dynamics +## Implementation Details -## Properties -### Markov Property -- Transitions depend only on current state -- Independent of history -- [[markov_chain]] properties +### Data Structures -### Action Effects -- Different slices for each action -- May be sparse (impossible transitions) -- [[action_impact]] analysis - -### Conservation -- Probability mass conservation -- [[transition_constraints]] -- [[physical_constraints]] - -## Integration -- Used in [[state_prediction]] -- Affects [[policy_selection]] -- Links to [[action_model]] - -## Examples +#### Basic Structure ```python -# Example 2-state, 2-action B-matrix -B = np.array([ - # Action 1 - [[0.9, 0.1], # Stay in state 1 - [0.2, 0.8]], # Stay in state 2 - # Action 2 - [[0.6, 0.4], # Move to state 2 - [0.4, 0.6]] # Move to state 1 -]) -``` - -## Learning Methods -- [[empirical_transitions]] - Learning from data -- [[causal_discovery]] - Structure learning -- [[inverse_dynamics]] - Learning from outcomes - -## Computational Interface -```python -class TransitionMatrix: +class BMatrix: def __init__(self, num_states: int, num_actions: int): - self.B = self._initialize_transitions(num_states, num_actions) - - def get_transition_probs(self, state: int, action: int) -> np.ndarray: - """Get transition probabilities for state-action pair""" - return self.B[:, state, action] - - def update_transitions(self, - state: int, - action: int, - next_state: int, - learning_rate: float): - """Update transition probabilities based on observation""" - pass + self.B = np.zeros((num_states, num_states, num_actions)) + self.initialize_transitions() + + def initialize_transitions(self): + """Initialize with identity or prior knowledge""" + for a in range(self.num_actions): + self.B[:,:,a] = np.eye(self.num_states) # Start with self-transitions ``` -## Related Components -- [[s_space]] - State space definition -- [[pi_space]] - Policy/action space -- [[dynamics_model]] - System dynamics -- [[control_theory]] - Control principles +#### Advanced Features +```python + def get_transition_distribution(self, state: int, action: int) -> Distribution: + """Get probability distribution over next states""" + return Distribution(self.B[:, state, action]) + + def sample_next_state(self, state: int, action: int) -> int: + """Sample next state from transition distribution""" + return np.random.choice( + self.num_states, + p=self.B[:, state, action] + ) +``` + +### Storage Formats +- [[matrix_storage]] - Data management + - Dense arrays + - Sparse representations + - Compressed formats + - Memory mapping + +### Computational Methods +- [[transition_computation]] - Processing + - Matrix operations + - Parallel computation + - GPU acceleration + - Distributed processing + +## Learning and Adaptation + +### Learning Methods + +#### Maximum Likelihood +```python +def update_transitions_ml(self, + state: int, + action: int, + next_state: int, + learning_rate: float): + """Update transitions using maximum likelihood""" + target = np.zeros(self.num_states) + target[next_state] = 1 + self.B[:, state, action] = (1 - learning_rate) * self.B[:, state, action] + \ + learning_rate * target +``` + +#### Bayesian Updates +```python +def update_transitions_bayes(self, + state: int, + action: int, + next_state: int, + prior_strength: float): + """Update transitions using Bayesian inference""" + self.counts[next_state, state, action] += 1 + alpha = self.counts[:, state, action] + self.B[:, state, action] = dirichlet.mean(alpha + prior_strength) +``` + +### Structure Learning +- [[causal_discovery]] - Structure identification + - Sparsity patterns + - Invariant relationships + - Causal mechanisms + - Independence testing + +### Online Adaptation +- [[dynamic_learning]] - Real-time updates + - Incremental learning + - Adaptive rates + - Forgetting factors + - Confidence tracking + +## Applications + +### Planning and Control + +#### Policy Evaluation +```python +def evaluate_policy(self, policy: np.ndarray, horizon: int) -> np.ndarray: + """Evaluate state occupancy under policy""" + state_dist = initial_distribution + for t in range(horizon): + action = policy[t] + state_dist = self.B[:,:,action] @ state_dist + return state_dist +``` + +#### Optimal Control +- [[optimal_control]] - Control methods + - LQR formulation + - Model predictive control + - Stochastic optimal control + - Risk-sensitive control + +### Prediction and Simulation + +#### Forward Simulation +```python +def simulate_trajectory(self, + initial_state: int, + policy: List[int], + num_samples: int) -> np.ndarray: + """Simulate multiple trajectories under policy""" + trajectories = np.zeros((num_samples, len(policy) + 1)) + trajectories[:,0] = initial_state + + for t, action in enumerate(policy): + for n in range(num_samples): + current_state = int(trajectories[n,t]) + trajectories[n,t+1] = self.sample_next_state(current_state, action) + + return trajectories +``` + +#### State Prediction +- [[state_prediction]] - Future states + - Expected states + - Uncertainty propagation + - Confidence bounds + - Risk assessment + +## Integration with Other Components + +### With State Space +- [[state_space_integration]] - State representation + - State encoding + - Dimensionality + - Constraints + - Invariants + +### With Action Space +- [[action_space_integration]] - Action effects + - Action encoding + - Feasibility + - Constraints + - Cost models + +### With Observation Model +- [[observation_integration]] - Perception + - Hidden states + - Sensor models + - Uncertainty + - Filtering + +## Advanced Topics + +### Information Theory +- [[transition_information]] - Information measures + - Entropy rate + - Channel capacity + - Information flow + - Predictive information + +### Geometric Properties +- [[transition_geometry]] - Geometric aspects + - Manifold structure + - Geodesics + - Parallel transport + - Curvature + +### Stability Analysis +- [[transition_stability]] - Stability properties + - Fixed points + - Attractors + - Lyapunov stability + - Structural stability + +## Optimization and Efficiency + +### Computational Optimization +- [[computation_optimization]] - Performance + - Matrix operations + - Memory usage + - Cache efficiency + - Parallelization + +### Numerical Stability +- [[numerical_methods]] - Numerical issues + - Conditioning + - Error propagation + - Precision control + - Stability preservation + +### Resource Management +- [[resource_optimization]] - Resources + - Memory allocation + - Computation scheduling + - Load balancing + - Power efficiency + +## Best Practices + +### Implementation Guidelines +- [[implementation_guide]] - Development + - Code structure + - Error handling + - Testing strategies + - Documentation + +### Validation Methods +- [[validation_methods]] - Quality assurance + - Unit testing + - Integration testing + - Performance testing + - Validation metrics + +### Maintenance Procedures +- [[maintenance_procedures]] - Upkeep + - Updates + - Monitoring + - Debugging + - Optimization ## References - [[markov_decision_process]] - [[transition_learning]] -- [[control_theory]] \ No newline at end of file +- [[control_theory]] +- [[information_theory]] +- [[optimization_methods]] + +## See Also +- [[a_matrix]] - Action model +- [[d_matrix]] - Prior preferences +- [[state_space]] - State representation +- [[policy_space]] - Action policies +- [[active_inference]] - Framework +- [[control_theory]] - Control principles \ No newline at end of file diff --git a/knowledge_base/agents/GenericPOMDP/state_spaces/o_space.md b/knowledge_base/agents/GenericPOMDP/state_spaces/o_space.md index e69de29..22f6ea4 100644 --- a/knowledge_base/agents/GenericPOMDP/state_spaces/o_space.md +++ b/knowledge_base/agents/GenericPOMDP/state_spaces/o_space.md @@ -0,0 +1,234 @@ +# Observation Space (O-Space) + +--- +title: Observation Space +type: concept +status: stable +created: 2024-03-15 +updated: 2024-03-15 +complexity: advanced +tags: + - pomdp + - state_space + - observation + - perception + - uncertainty + - inference +semantic_relations: + - type: part_of + links: + - [[pomdp_framework]] + - [[state_representation]] + - type: relates_to + links: + - [[s_space]] + - [[a_space]] + - [[belief_space]] + - type: influences + links: + - [[belief_updating]] + - [[perception_model]] + - [[active_inference]] +--- + +## Overview + +The Observation Space (O-Space) represents the set of all possible observations an agent can perceive from its environment. In Partially Observable Markov Decision Processes (POMDPs) and cognitive modeling, O-Space is fundamental to understanding how agents interact with and learn from incomplete information about their environment. + +## Core Concepts + +### Definition +- [[observation_definition]] - Mathematical formalization + - Set of possible observations O + - Observation probability function + - Mapping from states to observations + +### Properties +- [[observation_properties]] - Key characteristics + - Partial observability + - Stochastic nature + - Temporal dependency + - Dimensionality constraints + +### Structure +- [[observation_structure]] - Organization + - Discrete vs. continuous + - Finite vs. infinite + - Structured vs. unstructured + - Hierarchical organization + +## Mathematical Framework + +### Formal Definition +```math +O = {o₁, o₂, ..., oₙ} # Discrete case +O ⊆ ℝⁿ # Continuous case + +P(o|s,a) : S × A × O → [0,1] +``` + +### Probability Models +- [[observation_models]] - Probabilistic framework + - Likelihood functions + - Emission probabilities + - Sensor models + - Noise distributions + +### Transformations +- [[observation_transformations]] - Space mappings + - Feature extraction + - Dimensionality reduction + - Embedding methods + - Coordinate transforms + +## Implementation + +### Data Structures +- [[observation_representation]] - Storage + - Vector representation + - Matrix organization + - Tensor structures + - Sparse formats + +### Algorithms +- [[observation_processing]] - Computation + - Filtering methods + - Update algorithms + - Sampling techniques + - Inference procedures + +### Optimization +- [[observation_optimization]] - Efficiency + - Memory management + - Computation speed + - Accuracy trade-offs + - Resource allocation + +## Applications + +### Perception Systems +- [[perceptual_processing]] - Sensory handling + - Sensor integration + - Signal processing + - Feature detection + - Pattern recognition + +### Learning Systems +- [[observation_learning]] - Knowledge acquisition + - State estimation + - Model learning + - Policy adaptation + - Representation learning + +### Control Systems +- [[observation_control]] - Action selection + - Feedback control + - Active sensing + - Information gathering + - Exploration strategies + +## Integration + +### With State Space +- [[state_observation_mapping]] - Relationships + - State-observation correspondence + - Information loss + - Ambiguity resolution + - Uncertainty handling + +### With Action Space +- [[action_observation_dynamics]] - Interactions + - Action effects + - Sensorimotor contingencies + - Predictive models + - Control influence + +### With Belief Space +- [[belief_observation_updating]] - Updates + - Belief revision + - Evidence integration + - Uncertainty propagation + - Confidence updating + +## Challenges + +### Technical Challenges +- [[observation_challenges]] - Implementation issues + - Scalability + - Computational complexity + - Noise handling + - Dimensionality curse + +### Practical Challenges +- [[observation_limitations]] - Real-world issues + - Sensor limitations + - Resource constraints + - Real-time requirements + - System boundaries + +### Solutions +- [[observation_solutions]] - Mitigation strategies + - Approximation methods + - Efficient algorithms + - Hardware optimization + - System design + +## Advanced Topics + +### Information Theory +- [[observation_information]] - Information aspects + - Entropy measures + - Mutual information + - Information gain + - Channel capacity + +### Active Inference +- [[active_observation]] - Strategic perception + - Information seeking + - Uncertainty reduction + - Exploration-exploitation + - Adaptive sampling + +### Learning Theory +- [[observation_learning_theory]] - Theoretical aspects + - Sample complexity + - PAC learning + - Online learning + - Transfer learning + +## Best Practices + +### Design Principles +- [[observation_design]] - Architecture + - Space definition + - Model selection + - Interface design + - System integration + +### Implementation Guidelines +- [[observation_implementation]] - Development + - Code organization + - Testing strategies + - Documentation + - Maintenance + +### Optimization Strategies +- [[observation_optimization]] - Performance + - Space efficiency + - Time efficiency + - Accuracy optimization + - Resource utilization + +## References +- [[pomdp_theory]] +- [[perception_models]] +- [[information_theory]] +- [[cognitive_architectures]] + +## See Also +- [[state_space]] +- [[action_space]] +- [[belief_space]] +- [[perception_processing]] +- [[active_inference]] +- [[uncertainty_handling]] \ No newline at end of file diff --git a/knowledge_base/cognitive/active_inference.md b/knowledge_base/cognitive/active_inference.md index d3bac26..790628b 100644 --- a/knowledge_base/cognitive/active_inference.md +++ b/knowledge_base/cognitive/active_inference.md @@ -126,6 +126,133 @@ Active inference is a principled framework unifying perception, action, and lear - [[unsupervised_learning]] - Learning without labels - [[robot_control]] - Autonomous systems +## Computational Implementation + +### Software Architecture +- [[computational_frameworks]] - Implementation structures + - [[modular_design]] - Component organization + - [[inference_engine]] - Core processing unit + - [[model_repository]] - Generative model storage + - [[action_planner]] - Policy computation + - [[distributed_systems]] - Parallel processing + - [[message_queues]] - Information routing + - [[load_balancing]] - Resource management + - [[real_time_processing]] - Online computation + - [[anytime_algorithms]] - Interruptible processing + - [[adaptive_scheduling]] - Dynamic resource allocation + +### Algorithm Design +- [[inference_algorithms]] - Core computations + - [[variational_methods]] - Approximate inference + - [[mean_field_approximation]] - Factorized inference + - [[structured_approximation]] - Dependency preservation + - [[sampling_methods]] - Monte Carlo approaches + - [[importance_sampling]] - Weighted sampling + - [[sequential_monte_carlo]] - Particle filtering + - [[optimization_methods]] - Parameter tuning + - [[gradient_descent]] - Local optimization + - [[evolutionary_algorithms]] - Global search + +### Performance Optimization +- [[computational_efficiency]] - Resource utilization + - [[memory_management]] - Storage optimization + - [[caching_strategies]] - Fast access + - [[garbage_collection]] - Resource recovery + - [[parallel_processing]] - Concurrent execution + - [[gpu_acceleration]] - Hardware optimization + - [[distributed_computing]] - Network utilization + - [[algorithmic_optimization]] - Speed improvements + - [[code_profiling]] - Performance analysis + - [[bottleneck_identification]] - Optimization targets + +## Biological Foundations + +### Neural Implementation +- [[neural_circuits]] - Brain architecture + - [[cortical_organization]] - Hierarchical structure + - [[sensory_processing]] - Input handling + - [[motor_output]] - Action generation + - [[synaptic_mechanisms]] - Neural communication + - [[neurotransmitter_systems]] - Chemical signaling + - [[synaptic_plasticity]] - Learning mechanisms + - [[neural_dynamics]] - Circuit behavior + - [[oscillatory_patterns]] - Rhythmic activity + - [[synchronization]] - Coordinated firing + +### Evolutionary Perspective +- [[adaptive_behavior]] - Survival strategies + - [[environmental_adaptation]] - Niche fitting + - [[sensory_evolution]] - Input specialization + - [[motor_adaptation]] - Action optimization + - [[social_learning]] - Group behavior + - [[cultural_transmission]] - Knowledge sharing + - [[collective_intelligence]] - Group dynamics + - [[developmental_trajectories]] - Growth patterns + - [[critical_periods]] - Learning windows + - [[skill_acquisition]] - Ability development + +### Clinical Applications +- [[psychiatric_disorders]] - Mental health + - [[schizophrenia]] - Reality processing + - [[hallucinations]] - False perceptions + - [[delusions]] - False beliefs + - [[autism_spectrum]] - Social cognition + - [[sensory_processing]] - Input handling + - [[social_interaction]] - Communication + - [[anxiety_disorders]] - Uncertainty processing + - [[threat_detection]] - Risk assessment + - [[safety_behaviors]] - Avoidance patterns + +## Advanced Applications + +### Robotics and Control +- [[autonomous_systems]] - Self-governing machines + - [[robot_perception]] - Environmental sensing + - [[sensor_fusion]] - Multi-modal integration + - [[scene_understanding]] - Context interpretation + - [[motion_planning]] - Movement generation + - [[trajectory_optimization]] - Path planning + - [[obstacle_avoidance]] - Safety constraints + - [[manipulation]] - Object interaction + - [[grasp_planning]] - Object handling + - [[tool_use]] - Extended capabilities + +### Artificial Intelligence +- [[machine_learning]] - Automated learning + - [[deep_learning]] - Neural networks + - [[representation_learning]] - Feature extraction + - [[transfer_learning]] - Knowledge reuse + - [[reinforcement_learning]] - Interactive learning + - [[policy_optimization]] - Action selection + - [[exploration_exploitation]] - Learning strategy + - [[meta_learning]] - Learning to learn + - [[architecture_search]] - Model design + - [[hyperparameter_optimization]] - Parameter tuning + +### Human-Machine Interaction +- [[interface_design]] - Interaction methods + - [[adaptive_interfaces]] - Dynamic adjustment + - [[user_modeling]] - Behavior prediction + - [[preference_learning]] - Customization + - [[natural_interaction]] - Intuitive control + - [[gesture_recognition]] - Movement interpretation + - [[speech_interface]] - Voice communication + - [[feedback_systems]] - Response generation + - [[haptic_feedback]] - Touch response + - [[visual_feedback]] - Display adaptation + +### Complex Systems +- [[emergent_behavior]] - System-level patterns + - [[swarm_intelligence]] - Collective behavior + - [[flocking_dynamics]] - Group movement + - [[task_allocation]] - Work distribution + - [[social_networks]] - Human systems + - [[information_diffusion]] - Knowledge spread + - [[opinion_dynamics]] - Belief evolution + - [[economic_systems]] - Resource allocation + - [[market_dynamics]] - Exchange patterns + - [[decision_markets]] - Collective wisdom + ## Mathematical Framework ### Variational Bayes