This paper examines the relationship among CO2 emissions, energy use, and GDP in
Russia using annual data ranging from 1990 to 2020. We first conduct time-series analyses …

The rise of audio deepfakes presents a significant security threat that undermines trust in
digital communications and media. These synthetic audio technologies can convincingly …

Brain electroencephalography (EEG), the complex, weak, multivariate, nonlinear, and
nonstationary time series, has been recently widely applied in neurocognitive disorder …

We study data structures for storing a set of polygonal curves in ${\rm R}^ d $ such that,
given a query curve, we can efficiently retrieve similar curves from the set, where similarity is …

Abstract The Euclidean k-Center problem is a classical problem that has been extensively
studied in computer science. Given a set G of n points in Euclidean space, the problem is to …

Center-based clustering, in particular k-means clustering, is frequently used for point data.
Its advantages include that the resulting clustering is often easy to interpret and that the …

We study several polygonal curve problems under the Fréchet distance via algebraic
geometric methods. Let 𝕏 dm and 𝕏 dk be the spaces of all polygonal curves of m and k …

We study the c-approximate near neighbor problem under the continuous Fréchet distance:
Given a set of n polygonal curves with m vertices, a radius δ> 0, and a parameter k≤ m, we …

In 2015, Driemel, Krivošija, and Sohler introduced the k, ℓ-median clustering problem for
polygonal curves under the Fréchet distance. Given a set of input curves, the problem asks …

We show by reduction from the Orthogonal Vectors problem that algorithms with strongly
subquadratic running time cannot approximate the Fréchet distance between curves better …