Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 10 of 10 for “"CORRELATION DIMENSION"”.
-
Classification of galaxies using fractal dimensions
… could lead to automatic classification. Fractal dimension, a quantity related to the complexity of a given shape, could be such a measure. Capacity dimension and correlation dimension are two of the several types of fractal dimensions. In this project, correlation dimensions and the capacity …
-
The Geometry and Dynamics of Context
… highly repetitive contexts. We compute the correlation dimension of the space of contexts and show that both visual and semantic context spaces exhibit a two-scaled and low dimensional structure. Finally, we use Takens' delay embedding theorem to show that the low dimension structure is …
-
Probabilistic characterization and synthesis of complex driven systems
… uncertainty, predictor uncertainty and the correlation dimension of the data set. Furthermore a real-time implementation, a Hidden-Markov architecture, and function approximation under constraints are derived within the framework. CWM is then applied in the context of different problems and …
-
Observing and quantifying kinematic properties and lagrangian coherent structures of ocean flows using drifter experiments
… exponents (FTLEs), trajectory arc-length, correlation dimension, dilation, Lagrangian-averaged vorticity deviation (LAVD), and spectral clustering. This thesis includes the first attempt to apply these dynamical systems techniques to real drifters for LCS detection. Overall, these …
-
Observing and Quantifying Kinematic Properties and Lagrangian Coherent Structures of Ocean Flows using Drifter Experiments
… exponents (FTLEs), trajectory arc-length, correlation dimension, dilation, Lagrangian-averaged vorticity deviation (LAVD), and spectral clustering. This thesis includes the first attempt to apply these dynamical systems techniques to real drifters for LCS detection. Overall, these …
-
GNSS pre-correlation waveform feature extraction methods for multipath-afflicted signal classification
… Hurst Exponent, Detrended Fluctuation Analysis, Correlation Dimension, Fuzzy Entropy and Recurrence Period Density Entropy were proposed and tested in numerical simulations implemented in MATLAB. For testing and simulation purposes, the GPS L1 C/A signal structure was selected, as it represents …
-
A Study of Dynamical and Emission Variabilities in Pulsars
… to the pulsar time series. Our measurements of correlation dimension and Lyapunov exponent show that the underlying behavior appears to be driven by a strange attractor with approximately three governing non-linear differential equations. This is particularly apparent in the case of PSR …
-
Aging, Gait Variability, and Adaptability
… pelvis were quantified using nonlinear measures (correlation dimension and local dynamic stability). The results showed little association of age and variability measures. Additional analyses revealed that preferred gait speed was a better predictor of gait variability measures, suggesting that …
-
Addressing nonlinear systems with information-theoretical techniques
… unpredictability of the system, and measure of dimension, like correlation dimension, that unravel the peculiar geometry of a chaotic system’s state space. These methods are ultimately analytical techniques, which can often be exactly estimated in the case of simulated systems, where the …
-
ΓΕΝΙΚΑ ΚΑΙ ΤΟΠΙΚΑ ΧΑΡΑΚΤΗΡΙΣΤΙΚΑ ΤΗΣ ΧΑΟΤΙΚΗΣ ΔΟΜΗΣ ΘΑΛΑΣΣΙΩΝ ΔΥΝΑΜΙΚΩΝ ΣΥΣΤΗΜΑΤΩΝ
… TO CHARACTERIZE THE DYNAMICS WE ESTIMATE THE DIMENSION OF THE UNDERLYING SYSTEM ATTRACTOR AND WE COMPUTE ITS LYAPUNOV EXPONENTS. DIMENSION ESTIMATES INDICATE THAT THE DYNAMICS CAN BE EXPLAINED BY A LOW- DIMENSIONAL DETERMINISTIC DYNAMICAL SYSTEM. LYAPUNOV EXPONENT ESTIMATES FURTHER …