Results 71 to 80 of about 4,469 (193)

Ordered Tree-Sliced Wasserstein Distance for Sequential Data

IEEE Access
Existing distance measures for sequential data are often ineffective and inefficient, as they are not true metrics and incur quadratic time complexities with respect to sequence length.
Tung Doan, Hoang Le, Hong Vuong
doaj   +1 more source

Learning Across the Divide: Understanding Knowledge Sharing Through Petrographic Analysis on Ceramics From the Rhine‐Meuse Delta During the Middle to Late Neolithic Transition (3400–2200 bce)

Archaeometry, EarlyView.
ABSTRACT Vlaardingen (VL) communities on the Dutch West coast (3400–2200 bce) are part of a unique, long‐term continuity in the European Neolithic. Despite large‐scale changes in European populations during the Neolithic, the genomic diversity and cultural practices of VL communities can be retraced to the Mesolithic.
Jisca de Bruin, Erik Kroon, Lasse van den Dikkenberg, Dennis Braekmans   +3 more
wiley   +1 more source

The Wasserstein Distance for Ricci Shrinkers

International Mathematics Research Notices
Abstract Let $(M^{n},g,f)$ be a Ricci shrinker such that $\text{Ric}_{f}=\frac{1}{2}g$ and the measure induced by the weighted volume element $(4\pi )^{-\frac{n}{2}}e^{-f}dv_{g}$ is a probability measure. Given a point $p\in M$, we consider two probability measures defined in the tangent space $T_{p}M$, namely the Gaussian measure ...
Conrado, Franciele, Zhou, Detang
openaire   +2 more sources

Real‐time by‐example texture synthesis and filtering using local statistics exchange

Computer Graphics Forum, EarlyView.
Abstract Real‐time by‐example texture synthesis is used in interactive virtual worlds to generate the appearance of an unbounded surface from an exemplar texture with as few repetitions as possible. Currently, leading real‐time methods rely on a tiling and blending scheme which is known to synthesize well texture patterns with little spatial ...
Nicolas Lutz, Guillaume Gilet
wiley   +1 more source

Wasserstein Distance

AbstractA fundamental problem in metric algebraic geometry is distance minimization.
Paul Breiding, Kathlén Kohn, Bernd Sturmfels   +2 more
openaire   +1 more source

Establishing Shape Correspondences: A Survey

Computer Graphics Forum, EarlyView.
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley   +1 more source

On a general matrix-valued unbalanced optimal transport problem

European Journal of Applied Mathematics
We introduce a general class of transport distances $\mathrm {WB}_{\Lambda }$ over the space of positive semi-definite matrix-valued Radon measures $\mathcal {M}(\Omega, \mathbb {S}_+^n)$ , called the weighted Wasserstein–Bures distance ...
Bowen Li, Jun Zou
doaj   +1 more source

Geometry‐Aware Alignment and Comparison of Hierarchical Morse Complexes with Applications

Computer Graphics Forum, EarlyView.
Abstract Scalar fields derived from 3D X‐ray CT scans of samples undergoing ex situ processes, such as thermal aging, chemical etching, or mechanical stress, pose unique challenges for characterizing similarities and differences across acquisitions. Typically, a sample A (source) is imaged, removed, and subjected to experimental conditions that alter ...
Aniketh Venkat, Attila Gyulassy, Peer‐Timo Bremer, Valerio Pascucci   +3 more
wiley   +1 more source

Critical scaling of the quantum Wasserstein distance

Physical Review Research
Distinguishing quantum states with minimal sampling overhead is of fundamental importance to teach quantum data to an algorithm. Recently, the quantum Wasserstein distance emerged from the theory of quantum optimal transport as a promising tool in this ...
Gonzalo Camacho, Benedikt Fauseweh
doaj   +1 more source

Bridging classical data assimilation and optimal transport: the 3D-Var case [PDF]

Nonlinear Processes in Geophysics
Because optimal transport (OT) acts as displacement interpolation in physical space rather than as interpolation in value space, it can avoid double-penalty errors generated by mislocations of geophysical fields.
M. Bocquet, P. J. Vanderbecken, A. Farchi, J. Dumont Le Brazidec, Y. Roustan   +4 more
doaj   +1 more source