Matches in SemOpenAlex for { <https://semopenalex.org/work/W4294113498> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W4294113498 abstract "In this article we present a method by which we can reduce a time series into a single point in $mathbb{R}^{13}$. We have chosen 13 dimensions so as to prevent too many points from being labeled as noise. When using a Euclidean (or Mahalanobis) metric, a simple clustering algorithm will with near certainty label the majority of points as noise. On pure physical considerations, this is not possible. Included in our 13 dimensions are four parameters which describe the coefficients of a cubic polynomial attached to a Gaussian picking up a general trend, four parameters picking up periodicity in a time series, two each for amplitude of a wave and period of a wave, and the final five report the leftover noise of the detrended and aperiodic time series. Of the final five parameters, four are the centralized probabilistic moments, and the final for the relative size of the series. The first main contribution of this work is to apply a theorem of quantum mechanics about the completeness of the solutions to the quantum harmonic oscillator on $L^2(mathbb{R})$ to estimating trends in time series. The second main contribution is the method of fitting parameters. After many numerical trials, we realized that methods such a Newton-Rhaphson and Levenberg-Marquardt converge extremely fast if the initial guess is good. Thus we guessed many initial points in our parameter space and computed only a few iterations, a technique common in Keogh's work on time series clustering. Finally, we have produced a model which gives incredibly accurate results quickly. We ackowledge that there are faster methods as well of more accurate methods, but this work shows that we can still increase computation speed with little, if any, cost to accuracy in the sense of data clustering." @default.
- W4294113498 created "2022-09-02" @default.
- W4294113498 creator A5004782750 @default.
- W4294113498 creator A5052291224 @default.
- W4294113498 creator A5082487883 @default.
- W4294113498 date "2018-05-04" @default.
- W4294113498 modified "2023-10-17" @default.
- W4294113498 title "Using Quantum Mechanics to Cluster Time Series" @default.
- W4294113498 doi "https://doi.org/10.48550/arxiv.1805.01711" @default.
- W4294113498 hasPublicationYear "2018" @default.
- W4294113498 type Work @default.
- W4294113498 citedByCount "0" @default.
- W4294113498 crossrefType "posted-content" @default.
- W4294113498 hasAuthorship W4294113498A5004782750 @default.
- W4294113498 hasAuthorship W4294113498A5052291224 @default.
- W4294113498 hasAuthorship W4294113498A5082487883 @default.
- W4294113498 hasBestOaLocation W42941134981 @default.
- W4294113498 hasConcept C105795698 @default.
- W4294113498 hasConcept C11413529 @default.
- W4294113498 hasConcept C115961682 @default.
- W4294113498 hasConcept C121332964 @default.
- W4294113498 hasConcept C122332657 @default.
- W4294113498 hasConcept C143724316 @default.
- W4294113498 hasConcept C151730666 @default.
- W4294113498 hasConcept C154945302 @default.
- W4294113498 hasConcept C1921717 @default.
- W4294113498 hasConcept C28826006 @default.
- W4294113498 hasConcept C33923547 @default.
- W4294113498 hasConcept C41008148 @default.
- W4294113498 hasConcept C62520636 @default.
- W4294113498 hasConcept C73555534 @default.
- W4294113498 hasConcept C84114770 @default.
- W4294113498 hasConcept C86803240 @default.
- W4294113498 hasConcept C99498987 @default.
- W4294113498 hasConceptScore W4294113498C105795698 @default.
- W4294113498 hasConceptScore W4294113498C11413529 @default.
- W4294113498 hasConceptScore W4294113498C115961682 @default.
- W4294113498 hasConceptScore W4294113498C121332964 @default.
- W4294113498 hasConceptScore W4294113498C122332657 @default.
- W4294113498 hasConceptScore W4294113498C143724316 @default.
- W4294113498 hasConceptScore W4294113498C151730666 @default.
- W4294113498 hasConceptScore W4294113498C154945302 @default.
- W4294113498 hasConceptScore W4294113498C1921717 @default.
- W4294113498 hasConceptScore W4294113498C28826006 @default.
- W4294113498 hasConceptScore W4294113498C33923547 @default.
- W4294113498 hasConceptScore W4294113498C41008148 @default.
- W4294113498 hasConceptScore W4294113498C62520636 @default.
- W4294113498 hasConceptScore W4294113498C73555534 @default.
- W4294113498 hasConceptScore W4294113498C84114770 @default.
- W4294113498 hasConceptScore W4294113498C86803240 @default.
- W4294113498 hasConceptScore W4294113498C99498987 @default.
- W4294113498 hasLocation W42941134981 @default.
- W4294113498 hasOpenAccess W4294113498 @default.
- W4294113498 hasPrimaryLocation W42941134981 @default.
- W4294113498 hasRelatedWork W149647761 @default.
- W4294113498 hasRelatedWork W2010862690 @default.
- W4294113498 hasRelatedWork W2089553807 @default.
- W4294113498 hasRelatedWork W2153301290 @default.
- W4294113498 hasRelatedWork W2325664614 @default.
- W4294113498 hasRelatedWork W2339398005 @default.
- W4294113498 hasRelatedWork W2351487726 @default.
- W4294113498 hasRelatedWork W2354295951 @default.
- W4294113498 hasRelatedWork W2530219696 @default.
- W4294113498 hasRelatedWork W4287455837 @default.
- W4294113498 isParatext "false" @default.
- W4294113498 isRetracted "false" @default.
- W4294113498 workType "article" @default.