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 ...
The deal to save TikTok shines a light on the Trump administration’s disregard for the law. The deal to save TikTok shines a light on the Trump administration’s disregard for the law. Following months ...
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 ...
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 ...
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 ...
Do you remember Darth Vader's famous Star Wars quote as, “Luke, I am your father”? Or perhaps you recall The Berenstein Bears books from your childhood? If either rings true, then you’re experiencing ...
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