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Sets Manager

The Sets Manager allows you to create, edit, and manage custom subsets of optimization solutions. Sets are powerful tools for organizing and analyzing specific groups of solutions.

Overview

Sets are named collections of solution indices that allow you to: - Group related solutions together - Filter visualizations to specific solution subsets - Organize analysis workflows - Track important solutions across different views

Features

View Existing Sets

The main table displays all sets for the selected result:

Columns: - Checkbox: Select sets for batch operations - Name: Unique identifier for the set - Description: Optional description of the set's purpose - Size: Number of solutions in the set

Create New Sets

Manual Creation: 1. Click Add New Set 2. Enter a name and description 3. Specify solution indices (comma-separated) 4. Click Save

Example Indices: 

1, 5, 10, 15, 20

Default Sets: Click Create Default Sets to automatically generate: - Feasible: All solutions satisfying constraints - Non-Feasible: Solutions violating one or more constraints - Pareto: Pareto-optimal solutions - Optimal: Best solutions (currently same as Pareto) - Smart Pareto: Pareto front with epsilon-dominance filtering

Edit Sets

  1. Select a single set using the checkbox
  2. Click Edit Set
  3. Modify the name or description
  4. Click Save

Note: You cannot edit the indices of an existing set. To change membership, create a new set.

Delete Sets

  1. Select one or more sets using checkboxes
  2. Click Delete Set
  3. Confirm the deletion

Warning: Deletion is permanent and cannot be undone.

Default Sets Explained

Feasible Set

Contains all solutions that satisfy all constraints: - Inequality constraints ≤ 0 - Equality constraints = 0 (within tolerance) - Essential for identifying viable solutions

Non-Feasible Set

Contains solutions that violate at least one constraint: - Useful for understanding constraint boundaries - Can reveal trade-offs between objectives and constraints

Pareto Set

Contains non-dominated solutions: - No other solution is better in all objectives - Represents the optimal trade-off frontier - Key for multi-objective optimization analysis

Optimal Set

Currently identical to the Pareto set: - May be refined in future versions - Represents the "best" solutions

Smart Pareto Set

Pareto front with epsilon-dominance filtering: - Reduces the number of solutions while maintaining diversity - Epsilon value: 0.15 (15% tolerance) - Useful for large Pareto fronts with many similar solutions

Usage Workflows

Workflow 1: Identify Best Solutions

  1. Select your optimization result
  2. Click Create Default Sets
  3. View the Pareto set to see optimal trade-offs
  4. Use Smart Pareto for a reduced, diverse set
  5. Filter visualizations using these sets

Workflow 2: Custom Analysis

  1. Use Data Viewer to select interesting solutions
  2. Note the indices of selected rows
  3. Create a new set with those indices
  4. Use the set in visualization pages

Workflow 3: Constraint Analysis

  1. Create default sets
  2. Compare Feasible vs Non-Feasible sets
  3. Analyze which constraints are most restrictive
  4. Identify design space boundaries

Workflow 4: Iterative Refinement

  1. Start with Pareto set
  2. Create subsets based on specific criteria
  3. Analyze each subset separately
  4. Refine sets based on findings

Best Practices

Naming Conventions

  • Use descriptive names: high_efficiency_solutions, low_cost_pareto
  • Include criteria in the name: weight_under_100kg
  • Add version numbers for iterations: pareto_v1, pareto_v2

Organization

  • Create sets for different analysis perspectives
  • Document set purposes in descriptions
  • Delete unused sets to keep the workspace clean
  • Use default sets as starting points

Performance

  • Smaller sets (\<1000 points) work best for interactive visualizations
  • Use Smart Pareto for large Pareto fronts
  • Create focused sets for specific analyses

Set Usage in Other Pages

Sets created here can be used throughout the app:

Data Viewer

  • Filter table to show only set members
  • Quickly access specific solution groups

Visualization Pages

  • Parallel Coordinates: Color by set membership
  • Interactive Scatter: Filter to specific sets
  • Scatterplot Matrix: Compare different sets

Analysis

  • Perform analysis on specific subsets
  • Compare metrics across different sets
  • Track solutions through different views

Tips

Finding Solution Indices

  • Use Data Viewer to browse and note row numbers
  • Indices are 0-based (first row is index 0)
  • Selected rows in Data Viewer show their indices

Set Operations

  • Create complementary sets (e.g., feasible/non-feasible)
  • Build hierarchical sets (e.g., pareto → smart_pareto → final_selection)
  • Use sets to track analysis progression

Validation

  • Check set sizes after creation
  • Verify indices are within valid range
  • Use descriptions to document set criteria

Troubleshooting

Set Not Appearing

  • Ensure you clicked Save after creating
  • Check that the result is still loaded
  • Refresh the page if needed

Invalid Indices Error

  • Verify indices are comma-separated numbers
  • Ensure indices are within the result's range
  • Check for typos or invalid characters

Cannot Edit Set

  • Only one set can be edited at a time
  • Deselect other sets before editing
  • To change indices, create a new set
  • Path: /sets_manager
  • Category: Data
  • Icon: List group icon
  • Requires Data: Yes