Abstract: Because of the challenges in gathering fault data from storage stacking machinery operating under high-speed and heavy-load conditions, the diagnostic accuracy of data driven-fault diagnosis ...

We present OmniTopos, a universal topology engine that models cosmological emergence as a sequence of topological phase transitions driven by persistent homology. The framework treats Betti numbers — ...

I have already introduced simplicial complexes, cell complexes, and hypergraphs as core tools in Topological Data Analysis. It is now time to turn to persistent homology, beginning with persistence ...

Supreme Court revives GOP congressman's challenge to late-arriving mail ballot law Actor Kiefer Sutherland arrested in Hollywood—what we know Russia's 'massive' losses in Ukraine have it heading ...

Omics studies have gained substantial importance in unraveling interactions between biomarkers that underlie complex diseases given the increasing availability of such data from across modalities due ...

Understanding how atomic-level structures govern the mechanical properties of amorphous materials remains a fundamental challenge in solid-state physics. Under mechanical loading, amorphous materials ...

Why do glass and other amorphous materials deform more easily in some regions than in others? A research team from the University of Osaka, the National Institute of Advanced Industrial Science and ...

Persistence diagram obtained from the structure of amorphous silicon, examples of the local ring structures corresponding to each point in the diagram, and representative structures including atoms ...

Community driven content discussing all aspects of software development from DevOps to design patterns. Ready to develop your first AWS Lambda function in Python? It really couldn’t be easier. The AWS ...

In forecasting economic time series, statistical models often need to be complemented with a process to impose various constraints in a smooth manner. Systematically imposing constraints and retaining ...

Occult Crescent, the new field operation added to FFXIV: Dawntrail in patch 7.25 has many secrets. Among them are the hidden rewards that you can only find with the help of a Persistent Pot, a ...