4 papers
Comparing Chatbot Performance Enhanced with Persistent Homology
Nithisha Raghavaraju, Barbara Giunti, Bastian Rieck
Chatbots have become increasingly prevalent across various domains, offering automated assistance in many areas, especially mental health support. The training is done using extrem…
Pruning vineyards: updating barcodes and representative cycles by removing simplices
Barbara Giunti, Jānis Lazovskis
The barcode of a filtration and its representative cycles encode rich information often useful in data analysis. However, obtaining them can be computationally expensive. Therefore…
DONUT -- Creation, Development, and Opportunities of a Database
Barbara Giunti, Jānis Lazovskis, Bastian Rieck
DONUT is a database of papers about practical, real-world uses of Topological Data Analysis (TDA). Its original seed was planted in a group chat formed during the HIM Spring School…
Notes on pivot pairings
Barbara Giunti
We present a row reduction algorithm to compute the barcode decomposition of persistence modules. This algorithm dualises the standard persistence one and clarifies the symmetry be…