Open Access. Powered by Scholars. Published by Universities.®
Harmonic Analysis and Representation Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Institution
- Keyword
-
- ISI journals (2)
- (Abstract Harmonic Analysis) Explicit machine computation and programs (not the theory of computation or programming) (1)
- 20C30 (1)
- 43-04 (1)
- 43A30 (1)
-
- Analytics (1)
- Artificial intelligence (1)
- Biofeedback (1)
- Biorthogonality (1)
- Convergence (1)
- Cybernetics (1)
- Embodiment (1)
- Energy preservation (1)
- Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups (1)
- High performance computing (1)
- High-end data (1)
- Interactive art (1)
- Paradigms (1)
- Quadrature mirror filterbank (1)
- Representations of finite symmetric groups (1)
- Sonified EEG (1)
- Systems (1)
- Wavelets (1)
- Publication
- Publication Type
Articles 1 - 6 of 6
Full-Text Articles in Harmonic Analysis and Representation
Lecture 05: The Convergence Of Big Data And Extreme Computing, David Keyes
Lecture 05: The Convergence Of Big Data And Extreme Computing, David Keyes
Mathematical Sciences Spring Lecture Series
As simulation and analytics enter the exascale era, numerical algorithms, particularly implicit solvers that couple vast numbers of degrees of freedom, must span a widening gap between ambitious applications and austere architectures to support them. We present fifteen universals for researchers in scalable solvers: imperatives from computer architecture that scalable solvers must respect, strategies towards achieving them that are currently well established, and additional strategies currently being developed for an effective and efficient exascale software ecosystem. We consider recent generalizations of what it means to “solve” a computational problem, which suggest that we have often been “oversolving” them at the …
Rediscovering The Interpersonal: Models Of Networked Communication In New Media Performance, Alicia Champlin
Rediscovering The Interpersonal: Models Of Networked Communication In New Media Performance, Alicia Champlin
Electronic Theses and Dissertations
This paper examines the themes of human perception and participation within the contemporary paradigm and relates the hallmarks of the major paradigm shift which occurred in the mid-20th century from a structural view of the world to a systems view. In this context, the author’s creative practice is described, outlining a methodology for working with the communication networks and interpersonal feedback loops that help to define our relationships to each other and to media since that paradigm shift. This research is framed within a larger field of inquiry into the impact of contemporary New Media Art as we experience it. …
Construction Of Energy Preserving Qmf, Jian-Ao Lian, Yonghui Wang
Construction Of Energy Preserving Qmf, Jian-Ao Lian, Yonghui Wang
Applications and Applied Mathematics: An International Journal (AAM)
Recently, a family of perfect reconstruction (PR) quadrature mirror filterbanks (QMF) with finite impulse response filters (FIR) from systems of biorthogonal refinable functions and wavelets were introduced and also applied to image processing. However, a detailed procedure was absent. The main objective of this paper is to present extensive examples that will provide a thorough process of construction of the new family of PR QMF with FIR filterbanks. These new filters are linearphase due to the symmetry property of their corresponding biorthogonal refinable functions and wavelets. In addition, these filters have odd lengths so that the symmetric extension can be …
Fast Algorithms For Analyzing Partially Ranked Data, Matthew Mcdermott
Fast Algorithms For Analyzing Partially Ranked Data, Matthew Mcdermott
HMC Senior Theses
Imagine your local creamery administers a survey asking their patrons to choose their five favorite ice cream flavors. Any data collected by this survey would be an example of partially ranked data, as the set of all possible flavors is only ranked into subsets of the chosen flavors and the non-chosen flavors. If the creamery asks you to help analyze this data, what approaches could you take? One approach is to use the natural symmetries of the underlying data space to decompose any data set into smaller parts that can be more easily understood. In this work, I describe …
On Local Fractional Continuous Wavelet Transform, Yang Xiaojun
On Local Fractional Continuous Wavelet Transform, Yang Xiaojun
Xiao-Jun Yang
We introduce a new wavelet transform within the framework of the local fractional calculus. An illustrative example of local fractional wavelet transform is also presented.
Local Fractional Discrete Wavelet Transform For Solving Signals On Cantor Sets, Yang Xiaojun
Local Fractional Discrete Wavelet Transform For Solving Signals On Cantor Sets, Yang Xiaojun
Xiao-Jun Yang
The discrete wavelet transform via local fractional operators is structured and applied to process the signals on Cantor sets. An illustrative example of the local fractional discretewavelet transformis given.