36 citations · 177 across the 35 of their papers we have counts for
37 papers
Inorganic synthesis-structure maps in zeolites with machine learning and crystallographic distances
Daniel Schwalbe-Koda, Daniel E. Widdowson, Tuan Anh Pham +1
Zeolites are inorganic materials known for their diversity of applications, synthesis conditions, and resulting polymorphs. Although their synthesis is controlled both by inorganic…
Simplexwise Distance Distributions for finite spaces with metrics and measures
Vitaliy Kurlin
A finite set of unlabelled points in Euclidean space is the simplest representation of many real objects from mineral rocks to sculptures. Since most solid objects are rigid, their…
Complete invariants of atomic clouds under rigid motion with Lipschitz continuous metrics in a polynomial time
Vitaliy Kurlin
A basic representation of any real molecule is a finite cloud of unordered atoms, many of which are chemically indistinguishable. A natural equivalence on point clouds in any metri…
Polynomial-time algorithms for continuous metrics on atomic clouds of unordered points
Vitaliy Kurlin
The most fundamental model of a molecule is a cloud of unordered atoms, even without chemical bonds that can depend on thresholds for distances and angles. The strongest equivalenc…
Exactly computable and continuous metrics on isometry classes of finite and 1-periodic sequences
Vitaliy Kurlin
The inevitable noise in real measurements motivates the problem to continuously quantify the similarity between rigid objects such as periodic time series and proteins given by ord…
Generic families of finite metric spaces with identical or trivial 1-dimensional persistence
Philip Smith, Vitaliy Kurlin
Persistent homology is a popular and useful tool for analysing finite metric spaces, revealing features that can be used to distinguish sets of unlabeled points and as input into m…