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On Length-Sensitive Fréchet Similarity
Taking length into consideration while comparing 1D shapes is a challenging task. In particular, matching equal-length portions of such shapes...
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Fréchet distance-based cluster analysis for multi-dimensional functional data
Multi-dimensional functional data analysis has become a contemporary research topic in medical research as patients’ various records are measured...
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Neural networks in Fréchet spaces
We propose a neural network architecture in infinite dimensional spaces for which we can show the universal approximation property. Indeed, we derive...
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An Improved DBSCAN Clustering Method for AIS Trajectories Incorporating DP Compression and Discrete Fréchet Distance
AIS provides a huge amount of maritime traffic data containing spatial and temporal information in a limited area. Trajectory clustering based on AIS...
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Translation Invariant Fréchet Distance Queries
The Fréchet distance is a popular similarity measure between curves. For some applications, it is desirable to match the curves under translation...
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Coresets for \((k, \ell )\) -Median Clustering Under the Fréchet Distance
We present an algorithm for computing \(\varepsilon \)...
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On discovering motifs and frequent patterns in spatial trajectories with discrete Fréchet distance
The discrete Fréchet distance (DFD) captures perceptual and geographical similarity between two trajectories. It has been successfully adopted in a...
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Computing the Fréchet Distance Between Uncertain Curves in One Dimension
We consider the problem of computing the Fréchet distance between two curves for which the exact locations of the vertices are unknown. Each vertex...
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ANN for Time Series Under the Fréchet Distance
We study approximate-near-neighbor data structures for time series under the continuous Fréchet distance. For an attainable approximation factor...
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Many-Objective Pathfinding Based on Fréchet Similarity Metric
Route planning, also known as pathfinding is one of the essential elements in logistics, mobile robotics and other applications, where engineers face...
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On the Number of Edges of the Fréchet Mean and Median Graphs
The availability of large datasets composed of graphs creates an unprecedented need to invent novel tools in statistical learning for graph-valued...
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Modern non-linear function-on-function regression
We introduce a new class of non-linear function-on-function regression models for functional data using neural networks. We propose a framework using...
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3D non-rigid shape similarity measure based on Fréchet distance between spectral distance distribution curve
3D non-rigid shape similarity is a meaningful and challenging task in deformable shape analysis. In this paper, we present a 3D non-rigid shape...
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Types of Stickiness in BHV Phylogenetic Tree Spaces and Their Degree
It has been observed that the sample mean of certain probability distributions in Billera-Holmes-Vogtmann (BHV) phylogenetic spaces is confined to a...
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Exploring Uniform Finite Sample Stickiness
It is well known, that Fréchet means on non-Euclidean spaces may exhibit nonstandard asymptotic rates depending on curvature. Even for distributions...
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Resolution-Invariant Image Classification Based on Fourier Neural Operators
In this paper we investigate the use of Fourier Neural Operators (FNOs) for image classification in comparison to standard Convolutional Neural...
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A generalized novel image forgery detection method using generative adversarial network
GANs (Generative Adversarial Networks) are widely employed in many domains of science and technology. They have produced high-resolution,...
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Segmentation of retinal blood vessel using generalized extreme value probability distribution function(pdf)-based matched filter approach
Retinal vessels’ segmentation is challenging to detect blood vessels for diagnosing diseases such as hypertension, diabetes, and glaucoma. Retinal...
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GC-GAN: Photo Cartoonization Using Guided Cartoon Generative Adversarial Network
Image cartoonization, a subfield of image translation, has gained increasing attention in recent years. However, the overall performance of existing...