The Euclidean Algorithm for Generalized Minimum Distance Decoding of Reed-Solomon Codes
, 2010 This paper presents a method to merge Generalized Minimum Distance decoding of Reed-Solomon codes with the extended Euclidean algorithm. By merge, we mean that the steps taken to perform the Generalized Minimum Distance decoding are similar to those ...
Bossert, Martin, Kampf, Sabine
core +1 more source
Multivariate texture discrimination based on geodesics to class centroids on a generalized Gaussian Manifold [PDF]
, 2013 A texture discrimination scheme is proposed wherein probability distributions are deployed on a probabilistic manifold for modeling the wavelet statistics of images.
A. Laine +6 more
core +2 more sources
Non-Linear Optimization Method for Maximum Point Search in Functions with Corner or Cusp Points
Computer Sciences & Mathematics Forum, 2023 A function is non-differentiable when there is a cusp or a corner point in its graph. To solve this problem, we propose a nonlinear optimization model whose objective function is the Euclidean distance function.
Pasquale Fotia, Massimiliano Ferrara
doaj +1 more source
Locally rich compact sets [PDF]
, 2015 We construct a compact metric space that has any other compact metric space as a tangent, with respect to the Gromov-Hausdorff distance, at all points. Furthermore, we give examples of compact sets in the Euclidean unit cube, that have almost any other ...
Chen, Changhao, Rossi, Eino
core +1 more source
Dynamic load-altering attack detection based on adaptive fading Kalman filter in power systems
Global Energy Interconnection, 2021 This paper presents an effective and feasible method for detecting dynamic load-altering attacks (D-LAAs) in a smart grid. First, a smart grid discrete system model is established in view of D-LAAs.
Qiang Ma +6 more
doaj +1 more source
The closest elastic tensor of arbitrary symmetry to an elasticity tensor of lower symmetry [PDF]
, 2006 The closest tensors of higher symmetry classes are derived in explicit form for a given elasticity tensor of arbitrary symmetry. The mathematical problem is to minimize the elastic length or distance between the given tensor and the closest elasticity ...
A. Bóna +49 more
core +3 more sources
On the Schoenberg Transformations in Data Analysis: Theory and Illustrations [PDF]
, 2010 The class of Schoenberg transformations, embedding Euclidean distances into higher dimensional Euclidean spaces, is presented, and derived from theorems on positive definite and conditionally negative definite matrices.
AN KOLMOGOROV +42 more
core +3 more sources
FCM Approach of Similarity and Dissimilarity Measures with α-Cut for Handling Mixed Pixels
Remote Sensing, 2018 In this paper, the fuzzy c-means (FCM) classifier has been studied with 12 similarity and dissimilarity measures: Manhattan distance, chessboard distance, Bray⁻Curtis distance, Canberra, Cosine distance, correlation distance, mean absolute ...
Sayan Mukhopadhaya +2 more
doaj +1 more source
Molecular Oncology, EarlyView.The LINC01116 long noncoding RNA is induced by hypoxia and associated with poor prognosis and high recurrence rates in two cohorts of lung adenocarcinoma patients. Here, we demonstrate that besides its expression in cancer cells, LINC01116 is markedly expressed in lymphatic endothelial cells of the tumor stroma in which it participates in hypoxia ...
Marine Gautier‐Isola +12 more
wiley +1 more source
An Experimental Evaluation of Nearest Neighbour Time Series Classification [PDF]
, 2014 Data mining research into time series classification (TSC) has focussed on alternative distance measures for nearest neighbour classifiers. It is standard practice to use 1-NN with Euclidean or dynamic time warping (DTW) distance as a straw man for ...
Bagnall, Anthony, Lines, Jason
core +1 more source