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Concept

Elastic map

Related publications (7)

Information-Driven Gas Distribution Mapping for Autonomous Mobile Robots

Alcherio Martinoli, Faezeh Rahbar, Chiara Ercolani

The ability to sense airborne pollutants with mobile robots provides a valuable asset for domains such as industrial safety and environmental monitoring. Oftentimes, this involves detecting how certain gases are spread out in the environment, commonly refe ...

MDPI2023

Manifold Learning-Based Polynomial Chaos Expansions For High-Dimensional Surrogate Models

Ketson Roberto Maximiano Dos Santos

In this work we introduce a manifold learning-based method for uncertainty quantification (UQ) in systems describing complex spatiotemporal processes. Our first objective is to identify the embedding of a set of high-dimensional data representing quantitie ...

2022

Principal Flows

Victor Panaretos, Tung Huy Pham, Zhigang Yao

We revisit the problem of extending the notion of principal component analysis (PCA) to multivariate datasets that satisfy nonlinear constraints, therefore lying on Riemannian manifolds. Our aim is to determine curves on the manifold that retain their cano ...

American Statistical Association2014

Classification of urban multi-angular image sequences by aligning their manifolds

Devis Tuia

When dealing with multi-angular image sequences, problems of reflectance changes due either to illumination and acquisition geometry, or to interactions with the atmosphere, naturally arise. These phenomena interplay with the scene and lead to a modificati ...

Ieee2013

Real-Time Identification of Risk-Prone Traffic Patterns Taking into Account Weather Conditions

André-Gilles Dumont, Minh Hai Pham

This paper presents the concept of a methodology for identifying in real time risky motorway traffic conditions. This research effort is to automate the extraction of traffic patterns from large data archives using advanced computing techniques. These patt ...

2011

Programmable Triangular Neighborhood Function for Kohonen Self-Organizing Map Implemented on Chip

Rafal Tomasz Dlugosz

A new hardware implementation of the triangular neighborhood function (TF) for ultra-low power, self-organizing maps (SOM) is presented. Simulations carried out in the software model of this network show that even for low signal resolutions (3-6 bits) perf ...

Technical University of Lodz2010

On the estimation of geodesic paths on sampled manifolds under random projections

Pierre Vandergheynst, Matteo Sorci

In this paper, we focus on the use of random projections as a dimensionality reduction tool for sampled manifolds in high-dimensional Euclidean spaces. We show that geodesic paths approximations from nearest neighbors Euclidean distances are well-preserved ...

2008