Evaluating Synthetic Data Quality

Learn how to assess the quality of your synthetic datasets using comprehensive evaluation metrics and statistical tests.

Quality Assessment Overview

Synthetic Data Studio provides multi-dimensional quality evaluation across three critical areas:

1. Statistical Similarity

Question: How well does the synthetic data match the statistical properties of the real data?

2. Machine Learning Utility

Question: Can you train effective ML models using the synthetic data?

3. Privacy Preservation

Question: Are there unacceptable privacy leakage risks?

Quick Quality Check

Statistical Evaluation (Fast)

Get immediate feedback with statistical tests:

curl -X POST "http://localhost:8000/evaluations/quick/{generator_id}" \
  -H "Content-Type: application/json"

Response:

{
  "generator_id": "gen-123",
  "quality_level": "Good",
  "overall_score": 0.85,
  "statistical_similarity": {
    "ks_test": 0.92,
    "chi_square": 0.88,
    "wasserstein_distance": 0.15
  },
  "recommendations": [
    "Data quality looks good for most use cases",
    "Consider increasing training epochs for better similarity"
  ]
}

Comprehensive Evaluation

Run full evaluation suite:

curl -X POST "http://localhost:8000/evaluations/run" \
  -H "Content-Type: application/json" \
  -d '{
    "generator_id": "gen-123",
    "dataset_id": "original-dataset-id",
    "include_statistical": true,
    "include_ml_utility": true,
    "include_privacy": true
  }'

Statistical Similarity Tests

Kolmogorov-Smirnov Test

Purpose: Tests if two continuous distributions are identical

How it works:

• Compares empirical distribution functions
• Measures maximum difference between distributions
• Returns p-value indicating statistical significance

{
  "column": "age",
  "ks_test": {
    "statistic": 0.087,
    "p_value": 0.23,
    "passed": true,
    "interpretation": "Distributions are statistically similar (p > 0.05)"
  }
}

Interpretation:

• p > 0.05: Distributions are similar (good)
• p = 0.01-0.05: Marginally different
• ❌ p < 0.01: Distributions are different (needs improvement)

Chi-Square Test

Purpose: Tests independence for categorical/binned data

How it works:

• Compares observed vs expected frequencies
• Works on categorical data or binned continuous data
• Sensitive to sample size differences

{
  "column": "category",
  "chi_square_test": {
    "statistic": 12.3,
    "p_value": 0.14,
    "degrees_of_freedom": 4,
    "passed": true,
    "interpretation": "Category distributions match (p > 0.05)"
  }
}

Wasserstein Distance

Purpose: Measures distribution difference (Earth Mover's Distance)

How it works:

• Calculates minimum "work" to transform one distribution into another
• Normalized by data range for comparability
• Lower values indicate better similarity

{
  "column": "income",
  "wasserstein_distance": {
    "distance": 0.045,
    "normalized_distance": 0.045,
    "max_possible": 1.0,
    "passed": true,
    "interpretation": "Excellent distribution match (< 5% difference)"
  }
}

Distance Scale:

• < 0.05: Excellent match
• 0.05-0.10: Good match
• 0.10-0.20: Acceptable
• ❌ > 0.20: Poor match

Jensen-Shannon Divergence

Purpose: Symmetric measure of distribution similarity

How it works:

• Based on Kullback-Leibler divergence
• Symmetric (order doesn't matter)
• Bounded between 0 and 1

{
  "column": "score",
  "js_divergence": {
    "divergence": 0.078,
    "normalized_divergence": 0.078,
    "passed": true,
    "interpretation": "Good distribution similarity (< 0.1)"
  }
}

Machine Learning Utility Tests

Classification Performance

Purpose: Tests if synthetic data can train good classifiers

How it works:

1. Train classifier on synthetic data
2. Test on real data (holdout set)
3. Compare to baseline (real data training)

{
  "ml_utility": {
    "classification": {
      "accuracy": 0.87,
      "precision": 0.85,
      "recall": 0.86,
      "f1_score": 0.85,
      "baseline_accuracy": 0.89,
      "utility_score": 0.97,
      "interpretation": "97% of baseline performance maintained"
    }
  }
}

Regression Performance

Purpose: Tests if synthetic data preserves predictive relationships

{
  "ml_utility": {
    "regression": {
      "r_squared": 0.82,
      "mean_absolute_error": 1250.50,
      "root_mean_squared_error": 1850.75,
      "baseline_r_squared": 0.85,
      "utility_score": 0.96,
      "interpretation": "96% of baseline predictive power maintained"
    }
  }
}

Cross-Validation Results

Purpose: Ensures robust performance across different data splits

{
  "cross_validation": {
    "folds": 5,
    "mean_accuracy": 0.86,
    "std_accuracy": 0.02,
    "confidence_interval": [0.84, 0.88],
    "stable_performance": true
  }
}

Privacy Leakage Tests

Membership Inference Attack

Purpose: Tests if synthetic data could reveal whether specific records were used in training

How it works:

• Trains attack model to distinguish training vs non-training records
• Measures attack success rate
• Lower success rates indicate better privacy

{
  "privacy_tests": {
    "membership_inference": {
      "attack_success_rate": 0.52,
      "baseline_accuracy": 0.50,
      "privacy_score": 0.96,
      "risk_level": "low",
      "interpretation": "No significant membership inference risk detected"
    }
  }
}

Risk Levels:

• < 0.55: Low risk (good privacy)
• 0.55-0.60: Moderate risk
• ❌ > 0.60: High risk (privacy concerns)

Attribute Inference Attack

Purpose: Tests if sensitive attributes can be inferred from synthetic data

{
  "privacy_tests": {
    "attribute_inference": {
      "target_attribute": "income",
      "attack_accuracy": 0.15,
      "baseline_accuracy": 0.10,
      "privacy_score": 0.67,
      "risk_level": "moderate",
      "recommendations": [
        "Consider using differential privacy for this attribute",
        "Reduce income correlation with other features"
      ]
    }
  }
}

Quality Report Structure

Overall Assessment

{
  "evaluation_id": "eval-123",
  "generator_id": "gen-123",
  "dataset_id": "data-123",
  "overall_quality_score": 0.83,
  "quality_level": "Good",
  "recommendations": [
    "Overall quality is good for most applications",
    "Consider privacy-preserving methods for sensitive attributes",
    "Statistical similarity could be improved with more training"
  ]
}

Detailed Breakdown

{
  "statistical_similarity": {
    "overall_score": 0.88,
    "passed_tests": 8,
    "total_tests": 10,
    "failed_columns": ["outlier_column"],
    "recommendations": ["Review outlier handling for 'outlier_column'"]
  },
  "ml_utility": {
    "overall_score": 0.91,
    "classification_score": 0.89,
    "regression_score": 0.93,
    "stability_score": 0.95
  },
  "privacy_preservation": {
    "overall_score": 0.78,
    "membership_inference_risk": "low",
    "attribute_inference_risks": ["moderate"],
    "recommendations": ["Use DP methods for high-risk attributes"]
  }
}

Quality Score Interpretation

Overall Quality Levels

Score Range	Quality Level	Description	Suitable For
0.9-1.0	Excellent	Exceptional quality	Production, critical applications
0.8-0.9	Good	High quality	Most business applications
0.7-0.8	Acceptable	Reasonable quality	Development, testing
0.6-0.7	Marginal	Limited quality	Prototyping only
< 0.6	Poor	Significant issues	Not recommended

Component Scores

Statistical Similarity:

• > 0.85: Excellent distribution matching
• 0.75-0.85: Good statistical properties
• 0.65-0.75: Acceptable for some use cases
• ❌ < 0.65: Poor statistical fidelity

ML Utility:

• > 0.90: Near-baseline performance
• 0.80-0.90: Good predictive capability
• 0.70-0.80: Acceptable for training
• ❌ < 0.70: Limited utility

Privacy Preservation:

• > 0.80: Strong privacy protection
• 0.70-0.80: Good privacy guarantees
• 0.60-0.70: Moderate privacy concerns
• ❌ < 0.60: Significant privacy risks

Improving Quality

Statistical Similarity Issues

Problem: Poor distribution matching Solutions:

{
  "increase_epochs": true,
  "recommended_epochs": 150,
  "use_ctgan": true,
  "add_regularization": true
}

Problem: Categorical data mismatch Solutions:

{
  "use_mode_specific_loss": true,
  "increase_embedding_dim": true,
  "recommended_embedding_dim": 256
}

ML Utility Issues

Problem: Poor predictive performance Solutions:

{
  "increase_training_data": true,
  "use_transfer_learning": true,
  "fine_tune_hyperparameters": true,
  "recommended_batch_size": 256
}

Privacy Issues

Problem: Membership inference vulnerability Solutions:

{
  "use_differential_privacy": true,
  "recommended_epsilon": 5.0,
  "add_output_perturbation": true
}

Custom Evaluation Options

Selective Testing

Run only specific tests:

curl -X POST "http://localhost:8000/evaluations/run" \
  -H "Content-Type: application/json" \
  -d '{
    "generator_id": "gen-123",
    "dataset_id": "data-123",
    "include_statistical": true,
    "include_ml_utility": false,
    "include_privacy": false,
    "target_columns": ["age", "income", "category"]
  }'

Advanced ML Configuration

Customize ML evaluation:

{
  "ml_utility_config": {
    "test_size": 0.3,
    "random_state": 42,
    "cross_validation_folds": 5,
    "algorithms": ["random_forest", "xgboost", "logistic_regression"],
    "metrics": ["accuracy", "precision", "recall", "f1", "auc"]
  }
}

Privacy Test Configuration

Configure privacy evaluation:

{
  "privacy_config": {
    "membership_inference": {
      "attack_model": "neural_network",
      "shadow_models": 5,
      "test_ratio": 0.3
    },
    "attribute_inference": {
      "target_attributes": ["salary", "medical_history"],
      "auxiliary_columns": ["age", "gender", "location"],
      "attack_epsilon": 0.1
    }
  }
}

Tracking Quality Over Time

Evaluation History

Track quality improvements:

# List all evaluations for a generator
curl http://localhost:8000/evaluations/generator/{generator_id}

Comparative Analysis

Compare multiple generators:

curl -X POST "http://localhost:8000/evaluations/compare" \
  -H "Content-Type: application/json" \
  -d '{
    "evaluation_ids": ["eval-1", "eval-2", "eval-3"],
    "comparison_metrics": ["overall_score", "statistical_similarity", "ml_utility"]
  }'

AI-Powered Insights

Natural Language Explanations

Get AI-powered analysis of your results:

curl -X POST "http://localhost:8000/evaluations/{evaluation_id}/explain" \
  -H "Content-Type: application/json"

Response:

{
  "evaluation_id": "eval-123",
  "insights": {
    "executive_summary": "Your synthetic data shows good overall quality...",
    "key_findings": [
      "Statistical similarity is excellent for most columns",
      "ML utility is slightly below baseline due to privacy constraints"
    ],
    "recommendations": [
      "Consider using DP-CTGAN for better privacy-utility balance",
      "Increase training epochs to improve correlation preservation"
    ],
    "business_impact": "Suitable for development and testing environments..."
  }
}

Smart Suggestions

Get AI recommendations for improvement:

curl -X POST "http://localhost:8000/llm/suggest-improvements/{evaluation_id}" \
  -H "Content-Type: application/json"

Best Practices

Evaluation Workflow

1. Start with Quick Evaluation: Get immediate feedback
2. Run Comprehensive Tests: Full statistical + ML + privacy assessment
3. Review AI Insights: Understand results in business context
4. Iterate and Improve: Adjust parameters based on findings
5. Document Results: Keep records for compliance

Quality Thresholds

Development/Testing:

• Statistical Similarity: > 0.75
• ML Utility: > 0.80
• Privacy Score: > 0.70

Production Use:

• Statistical Similarity: > 0.85
• ML Utility: > 0.90
• Privacy Score: > 0.80

Critical Applications:

• Statistical Similarity: > 0.95
• ML Utility: > 0.95
• Privacy Score: > 0.90

Regular Monitoring

• Daily: Quick statistical checks for ongoing generation
• Weekly: Full ML utility evaluation
• Monthly: Comprehensive privacy assessment
• Quarterly: Cross-generator comparison and trend analysis

� Troubleshooting

Common Quality Issues

Poor Statistical Similarity:

Causes: Insufficient training, wrong method, data preprocessing issues
Solutions: Increase epochs, use CTGAN, check data quality

Low ML Utility:

Causes: Over-privacy, insufficient data, correlation loss
Solutions: Reduce privacy parameters, increase dataset size, use better methods

Privacy Concerns:

Causes: Weak privacy parameters, membership inference risks
Solutions: Use DP methods, adjust epsilon, implement output perturbation

Performance Issues

Slow Evaluation:

Causes: Large datasets, complex ML models, full privacy tests
Solutions: Use quick evaluation, sample data, selective testing

Memory Issues:

Causes: Large datasets, complex models
Solutions: Reduce batch sizes, use sampling, optimize algorithms

Integration with Compliance

Audit Trail Generation

Create compliance documentation:

# Generate compliance report
curl -X POST "http://localhost:8000/generators/{generator_id}/compliance-report" \
  -H "Content-Type: application/json" \
  -d '{"framework": "GDPR"}'

Quality Certification

Document quality standards met:

{
  "quality_certification": {
    "standard": "Enterprise Grade",
    "statistical_similarity_threshold": 0.85,
    "ml_utility_threshold": 0.90,
    "privacy_threshold": 0.80,
    "certified_date": "2025-11-27",
    "valid_until": "2026-11-27"
  }
}

Next Steps

After evaluating quality:

1. Use Privacy Features - Implement differential privacy if needed
2. Explore AI Features - Get AI-powered insights and automation
3. Generate Compliance Reports - Create audit documentation

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Need help interpreting results? Use the /llm/explain-metric endpoint or check our Reference Guide.