4 papers
Persistent Cross Entropy
Sijin Yeom, Jae-Hun Jung
Persistent entropy is the Shannon entropy of a persistence-based probability measure defined on a persistence diagram. However, its cross-entropy version is not naturally defined b…
Causality as a Minimum Energy Principle
Moo K. Chung, D. Vijay Anand, Anass B El-Yaagoubi +3
Classical causal models, such as Granger causality and structural equation modeling, are largely restricted to acyclic interactions and struggle to represent cyclic and higher-orde…
Filtration learning in exact multi-parameter persistent homology and classification of time-series data
Keunsu Kim, Jae-Hun Jung
To analyze the topological properties of the given discrete data, one needs to consider a continuous transform called filtration. Persistent homology serves as a tool to track chan…
Supervised low-rank semi-nonnegative matrix factorization with frequency regularization for forecasting spatio-temporal data
Keunsu Kim, Hanbaek Lyu, Jinsu Kim +1
We propose a novel methodology for forecasting spatio-temporal data using supervised semi-nonnegative matrix factorization (SSNMF) with frequency regularization. Matrix factorizati…