What is persistence diagram?
Space & NavigationThe persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the persistence diagram is stable: small changes in the function imply only small changes in the diagram.
How do you draw a persistence diagram?
Video quote: Ones called in the literature called persistence diagrams. Simply says there is a multi set of points. In them B it is denotes the birth and B denotes the death and well from this persistence diagram.
What is persistent homology used for?
Persistent homology (PH) is a method used in topological data analysis (TDA) to study qualitative features of data that persist across multiple scales. It is robust to perturbations of input data, independent of dimensions and coordinates, and provides a compact representation of the qualitative features of the input.
Who invented persistent homology?
Computation
Software package | Creator | Open source |
---|---|---|
Perseus | Vidit Nanda | Yes |
PHAT | Ulrich Bauer, Michael Kerber, Jan Reininghaus | Yes |
DIPHA | Jan Reininghaus | Yes |
Gudhi | INRIA | Yes |
Is topological data analysis useful?
Topological data analysis, or TDA, is a set of approaches providing additional insight into datasets. It augments other forms of analysis, like statistical and geometric approaches, and is useful to any data scientist that wants a more complete understanding of their data.
Categories
- Climate & Climate Zones
- Data & Analysis
- Earth Science
- Energy & Resources
- General Knowledge & Education
- Geology & Landform
- Hiking & Activities
- Historical Aspects
- Human Impact
- Modeling & Prediction
- Natural Environments
- Outdoor Gear
- Polar & Ice Regions
- Regional Specifics
- Safety & Hazards
- Software & Programming
- Space & Navigation
- Storage
- Water Bodies
- Weather & Forecasts
- Wildlife & Biology
New Posts
- Field Gear Repair: Your Ultimate Guide to Fixing Tears On The Go
- Outdoor Knife Sharpening: Your Ultimate Guide to a Razor-Sharp Edge
- Don’t Get Lost: How to Care for Your Compass & Test its Accuracy
- Your Complete Guide to Cleaning Hiking Poles After a Rainy Hike
- Headlamp Battery Life: Pro Guide to Extending Your Rechargeable Lumens
- Post-Trip Protocol: Your Guide to Drying Camping Gear & Preventing Mold
- Backcountry Repair Kit: Your Essential Guide to On-Trail Gear Fixes
- Dehydrated Food Storage: Pro Guide for Long-Term Adventure Meals
- Hiking Water Filter Care: Pro Guide to Cleaning & Maintenance
- Protecting Your Treasures: Safely Transporting Delicate Geological Samples
- How to Clean Binoculars Professionally: A Scratch-Free Guide
- Adventure Gear Organization: Tame Your Closet for Fast Access
- No More Rust: Pro Guide to Protecting Your Outdoor Metal Tools
- How to Fix a Leaky Tent: Your Guide to Re-Waterproofing & Tent Repair