---
title: Research Index
type: index
status: stable
created: 2024-02-07
tags:
  - research
  - methodology
  - index
semantic_relations:
  - type: organizes
    links:
      - [[research_areas]]
      - [[research_methods]]
---

# Research Index

## Active Research Areas

### Active Inference Research
- [[research/active_inference/theory|Theoretical Developments]]
- [[research/active_inference/applications|Applications]]
- [[research/active_inference/scaling|Scaling Methods]]
- [[research/active_inference/hierarchical|Hierarchical Extensions]]

### Agent Architectures
- [[research/architectures/pomdp|POMDP Frameworks]]
- [[research/architectures/continuous|Continuous-Time Agents]]
- [[research/architectures/hierarchical|Hierarchical Agents]]
- [[research/architectures/multi_agent|Multi-Agent Systems]]

### Complex Systems
- [[research/complex/emergence|Emergence Studies]]
- [[research/complex/self_organization|Self-Organization]]
- [[research/complex/collective|Collective Behavior]]
- [[research/complex/adaptation|Adaptation Mechanisms]]

## Research Methodology

### Experimental Design
- [[research/methods/hypothesis|Hypothesis Formation]]
- [[research/methods/variables|Variable Control]]
- [[research/methods/sampling|Sampling Methods]]
- [[research/methods/validation|Validation Approaches]]

### Analysis Methods
- [[research/analysis/statistical|Statistical Analysis]]
- [[research/analysis/computational|Computational Analysis]]
- [[research/analysis/qualitative|Qualitative Analysis]]
- [[research/analysis/comparative|Comparative Studies]]

### Validation Methods
- [[research/validation/empirical|Empirical Validation]]
- [[research/validation/theoretical|Theoretical Validation]]
- [[research/validation/computational|Computational Validation]]
- [[research/validation/comparative|Comparative Validation]]

## Research Tools

### Analysis Tools
```python
# Basic research analysis
def analyze_experiment(data, config):
    """Analyze experimental results."""
    results = {
        'statistics': compute_statistics(data),
        'metrics': evaluate_metrics(data),
        'visualizations': generate_plots(data)
    }
    return results

def validate_results(results, criteria):
    """Validate research results."""
    validation = {
        'statistical': validate_statistics(results),
        'theoretical': validate_theory(results),
        'empirical': validate_empirically(results)
    }
    return validation
```

### Implementation Tools
```python
# Research implementation framework
class ExperimentFramework:
    def __init__(self, config):
        self.config = config
        self.data = []
        self.results = {}
        
    def run_experiment(self):
        """Run research experiment."""
        for trial in range(self.config.trials):
            data = self.execute_trial()
            self.data.append(data)
            
        self.results = analyze_results(self.data)
        return self.results
```

### Documentation Tools
```python
# Research documentation
class ResearchDocument:
    def __init__(self):
        self.sections = {
            'abstract': '',
            'introduction': '',
            'methods': '',
            'results': '',
            'discussion': '',
            'conclusion': ''
        }
        
    def generate_report(self):
        """Generate research report."""
        report = compile_sections(self.sections)
        return format_report(report)
```

## Research Examples

### Case Studies
- [[research/examples/active_inference|Active Inference Study]]
- [[research/examples/multi_agent|Multi-Agent Study]]
- [[research/examples/emergence|Emergence Study]]

### Implementation Studies
- [[research/implementations/pomdp|POMDP Implementation]]
- [[research/implementations/hierarchical|Hierarchical Implementation]]
- [[research/implementations/continuous|Continuous-Time Implementation]]

### Validation Studies
- [[research/validation/theory|Theory Validation]]
- [[research/validation/implementation|Implementation Validation]]
- [[research/validation/comparison|Comparative Validation]]

## Research Documentation

### Documentation Standards
- [[research/standards/methodology|Methodology Standards]]
- [[research/standards/reporting|Reporting Standards]]
- [[research/standards/validation|Validation Standards]]

### Templates
- [[research/templates/experiment|Experiment Template]]
- [[research/templates/analysis|Analysis Template]]
- [[research/templates/report|Report Template]]

### Guidelines
- [[research/guidelines/design|Design Guidelines]]
- [[research/guidelines/execution|Execution Guidelines]]
- [[research/guidelines/reporting|Reporting Guidelines]]

## Related Resources

### Documentation
- [[docs/guides/research_guides|Research Guides]]
- [[docs/api/research_api|Research API]]
- [[docs/examples/research_examples|Research Examples]]

### Knowledge Base
- [[knowledge_base/research/methodology|Research Methodology]]
- [[knowledge_base/research/tools|Research Tools]]
- [[knowledge_base/research/standards|Research Standards]]

### Learning Resources
- [[learning_paths/research|Research Learning Path]]
- [[tutorials/research|Research Tutorials]]
- [[guides/research/best_practices|Research Best Practices]]