Results 111 to 120 of about 4,469 (193)
Basal Force Probability Distributions in Thin‐Layer Granular Flows
Abstract Extreme geophysical flows, such as granular and debris flows, can significantly shape the landscape in steep lands and generate seismic signals that can be recorded over long distances. However, direct field measurements needed to constrain the granular physics remain difficult due to the damage potential of those flows.
Jun Fang +5 more
wiley +1 more source
A View on Optimal Transport from Noncommutative Geometry
We discuss the relation between the Wasserstein distance of order 1 between probability distributions on a metric space, arising in the study of Monge-Kantorovich transport problem, and the spectral distance of noncommutative geometry.
Francesco D'Andrea, Pierre Martinetti
doaj +1 more source
Parameter estimation from aggregate observations: a Wasserstein distance-based sequential Monte Carlo sampler. [PDF]
Cheng C, Wen L, Li J.
europepmc +1 more source
Fine‐Tuning a Weather Foundation Model With Lightweight Decoders for Unseen Physical Processes
Abstract Recent advances in AI weather forecasting have led to the emergence of so‐called “foundation models”, typically defined by expensive pretraining and minimal fine‐tuning for downstream tasks. However, in the natural sciences, a desirable foundation model should also encode meaningful statistical relationships between the underlying physical ...
Fanny Lehmann +5 more
wiley +1 more source
Wasserstein distance in terms of the comonotonicity copula
In this article, we represent the Wasserstein metric of order $p$, where $p\in [1,\infty)$, in terms of the comonotonicity copula, for the case of probability measures on $\R^d$, by revisiting existing results. In 1973, Vallender established the link between the $1$-Wasserstein metric and the corresponding distribution functions for $d=1$.
Mariem Abdellatif +3 more
openaire +4 more sources
EnScale: Temporally‐Consistent Multivariate Generative Downscaling via Proper Scoring Rules
Abstract The practical use of future climate projections from global circulation models (GCMs) is often limited by their coarse spatial resolution, requiring downscaling to generate high‐resolution data. Regional climate models (RCMs) provide this refinement, but are computationally expensive.
Maybritt Schillinger +4 more
wiley +1 more source
This paper proposes an Entropy–Mean–Upper partial deviation–Absolute Deviation (EMUAD) portfolio problem, introducing entropy to reduce investment risk and enhance portfolio diversification while simultaneously considering metrics ...
Haonan Wang, Mingyang Fan, Bowen Liu
doaj +1 more source
The Gromov–Wasserstein Distance Between Spheres
Abstract The Gromov–Wasserstein distance—a generalization of the usual Wasserstein distance—permits comparing probability measures defined on possibly different metric spaces. Recently, this notion of distance has found several applications in Data Science and in Machine Learning.
Shreya Arya +5 more
openaire +2 more sources
ABSTRACT This study demonstrates that flow resistance in rivers, quantified via calibration of a modified Manning's equation, can inform its estimation from channel hydrometric information available from regional or global datasets for a limited set (N = 14) of rigorously calibrated river reaches in Alaska and with less certainty in a large set (N ...
David M. Bjerklie +6 more
wiley +1 more source
On Metric Choice in Dimension Reduction for Fréchet Regression
Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale +3 more
wiley +1 more source

