Cover Image

The Shape of Data: Topology Meets Analytics. A Practical Introduction to Topological Analytics and the Stability Index (TSI) in Business

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Diamantis, Ioannis
Format:	Preprint
Published:	2025
Subjects:	Machine Learning Econometrics Applications 62R40, 55N31, 91B84, 62H30, 68T09
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Topological Stability Index: A Variance-Based Measure for Persistence Barcodes
by: Kirchner, Joris, et al.
Published: (2026)

Topology of Currencies: Persistent Homology for FX Co-movements: A Comparative Clustering Study
by: de Jeneret, Pattravadee de Favereau, et al.
Published: (2025)

Topology meets Machine Learning: An Introduction using the Euler Characteristic Transform
by: Rieck, Bastian
Published: (2024)

Persistent Cycle Representatives and Generalized Landscapes for Codimension 1 Persistent Homology
by: Lenzen, Fabian, et al.
Published: (2025)

Robust Short-Term OEE Forecasting in Industry 4.0 via Topological Data Analysis
by: Anapa, Korkut, et al.
Published: (2025)

A Robust Topological Framework for Detecting Regime Changes in Multi-Trial Experiments with Application to Predictive Maintenance
by: El-Yaagoubi, Anass B., et al.
Published: (2024)

Adversarially Robust Topological Inference
by: Vishwanath, Siddharth, et al.
Published: (2022)

The Shape of Consumer Behavior: A Symbolic and Topological Analysis of Time Series
by: Bereta, Pola, et al.
Published: (2025)

Denoising data reduction algorithm for Topological Data Analysis
by: Choi, Seonmi, et al.
Published: (2026)

Explainable Machine Learning for Macroeconomic and Financial Nowcasting: A Decision-Grade Framework for Business and Policy
by: Attolico, Luca
Published: (2025)

On the Limits of Topological Data Analysis for Statistical Inference
by: Vishwanath, Siddharth, et al.
Published: (2020)

On the Expressivity of Persistent Homology in Graph Learning
by: Ballester, Rubén, et al.
Published: (2023)

Persistent Laplacian Diagrams
by: Jung, Inkee, et al.
Published: (2025)

Inference for Local Projections
by: Inoue, Atsushi, et al.
Published: (2023)

Detection of Small Holes by the Scale-Invariant Robust Density-Aware Distance (RDAD) Filtration
by: Siu, Chunyin, et al.
Published: (2022)

The Impact of Changes in Resolution on the Persistent Homology of Images
by: Heiss, Teresa, et al.
Published: (2021)

Opening the Black Box: Nowcasting Singapore's GDP Growth and its Explainability
by: Attolico, Luca
Published: (2025)

Linguistics from a topological viewpoint
by: Dong, Rui
Published: (2024)

Topological Sequence Analysis of Genomes: Delta Complex approaches
by: Liu, Jian, et al.
Published: (2025)

G-Mapper: Learning a Cover in the Mapper Construction
by: Alvarado, Enrique, et al.
Published: (2023)

Topological Data Analysis for Neural Network Analysis: A Comprehensive Survey
by: Ballester, Rubén, et al.
Published: (2023)

Alpha shapes in kernel density estimation
by: Carlsson, Erik, et al.
Published: (2023)

Wavelet-Based Density Estimation for Persistent Homology
by: Häberle, Konstantin, et al.
Published: (2023)

The Aligned Economic Index & The State Switching Model
by: Aarab, Ilias
Published: (2025)

The Dual Degree Cech Bifiltration
by: Brun, Morten
Published: (2024)

Harmonic Persistent Homology
by: Basu, Saugata, et al.
Published: (2021)

Persistent Homology of Time Series through Complex Networks
by: Güzel, İsmail
Published: (2026)

Persistent magnitude homology on finite metric space
by: Bi, Wanying, et al.
Published: (2026)

Nonlinear Dynamic Factor Analysis With a Transformer Network
by: Snellman, Oliver
Published: (2026)

Digital Euler Characteristic Transform
by: Kirveslahti, Henry, et al.
Published: (2024)

Topology across Scales on Heterogeneous Cell Data
by: Torras-Pérez, Maria, et al.
Published: (2025)

On the geometric and Riemannian structure of the spaces of group equivariant non-expansive operators
by: Cascarano, Pasquale, et al.
Published: (2021)

TopER: Topological Embeddings in Graph Representation Learning
by: Tola, Astrit, et al.
Published: (2024)

Understanding U.S. Racial Segregation Through Persistent Homology
by: Friesen, Ori, et al.
Published: (2024)

Double Descent and Benign Overfitting in Macroeconomic Forecasting
by: Carriero, Andrea, et al.
Published: (2026)

Wasserstein convergence of Čech persistence diagrams for samplings of submanifolds
by: Arnal, Charles, et al.
Published: (2024)

Measures determined by their values on balls and Gromov-Wasserstein convergence
by: van Delft, Anne, et al.
Published: (2024)

A topology-based algorithm for the isomorphism check of 2-level Orthogonal Arrays
by: Fontana, Roberto, et al.
Published: (2024)

Sparse and Low-bias Estimation of High Dimensional Vector Autoregressive Models
by: Ruiz, Trevor D., et al.
Published: (2019)

Stability of the persistence transformation
by: Klaila, Gideon, et al.
Published: (2023)