Composite NUV Priors and Applications

Composite NUV Priors and Applications PDF Author: Raphael Urs Keusch
Publisher: BoD – Books on Demand
ISBN: 3866287682
Category : Computers
Languages : en
Pages : 275

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Book Description
Normal with unknown variance (NUV) priors are a central idea of sparse Bayesian learning and allow variational representations of non-Gaussian priors. More specifically, such variational representations can be seen as parameterized Gaussians, wherein the parameters are generally unknown. The advantage is apparent: for fixed parameters, NUV priors are Gaussian, and hence computationally compatible with Gaussian models. Moreover, working with (linear-)Gaussian models is particularly attractive since the Gaussian distribution is closed under affine transformations, marginalization, and conditioning. Interestingly, the variational representation proves to be rather universal than restrictive: many common sparsity-promoting priors (among them, in particular, the Laplace prior) can be represented in this manner. In estimation problems, parameters or variables of the underlying model are often subject to constraints (e.g., discrete-level constraints). Such constraints cannot adequately be represented by linear-Gaussian models and generally require special treatment. To handle such constraints within a linear-Gaussian setting, we extend the idea of NUV priors beyond its original use for sparsity. In particular, we study compositions of existing NUV priors, referred to as composite NUV priors, and show that many commonly used model constraints can be represented in this way.

Using Local State Space Model Approximation for Fundamental Signal Analysis Tasks

Using Local State Space Model Approximation for Fundamental Signal Analysis Tasks PDF Author: Elizabeth Ren
Publisher: BoD – Books on Demand
ISBN: 3866287925
Category : Computers
Languages : en
Pages : 288

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Book Description
With increasing availability of computation power, digital signal analysis algorithms have the potential of evolving from the common framewise operational method to samplewise operations which offer more precision in time. This thesis discusses a set of methods with samplewise operations: local signal approximation via Recursive Least Squares (RLS) where a mathematical model is fit to the signal within a sliding window at each sample. Thereby both the signal models and cost windows are generated by Autonomous Linear State Space Models (ALSSMs). The modeling capability of ALSSMs is vast, as they can model exponentials, polynomials and sinusoidal functions as well as any linear and multiplicative combination thereof. The fitting method offers efficient recursions, subsample precision by way of the signal model and additional goodness of fit measures based on the recursively computed fitting cost. Classical methods such as standard Savitzky-Golay (SG) smoothing filters and the Short-Time Fourier Transform (STFT) are united under a common framework. First, we complete the existing framework. The ALSSM parameterization and RLS recursions are provided for a general function. The solution of the fit parameters for different constraint problems are reviewed. Moreover, feature extraction from both the fit parameters and the cost is detailed as well as examples of their use. In particular, we introduce terminology to analyze the fitting problem from the perspective of projection to a local Hilbert space and as a linear filter. Analytical rules are given for computation of the equivalent filter response and the steady-state precision matrix of the cost. After establishing the local approximation framework, we further discuss two classes of signal models in particular, namely polynomial and sinusoidal functions. The signal models are complementary, as by nature, polynomials are suited for time-domain description of signals while sinusoids are suited for the frequency-domain. For local approximation of polynomials, we derive analytical expressions for the steady-state covariance matrix and the linear filter of the coefficients based on the theory of orthogonal polynomial bases. We then discuss the fundamental application of smoothing filters based on local polynomial approximation. We generalize standard SG filters to any ALSSM window and introduce a novel class of smoothing filters based on polynomial fitting to running sums.

Stereolithography

Stereolithography PDF Author: Paulo Jorge Bártolo
Publisher: Springer Science & Business Media
ISBN: 0387929045
Category : Technology & Engineering
Languages : en
Pages : 345

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Book Description
Stereolithography: Materials, Processes and Applications will focus on recent advances in stereolithography covering aspects related to the most recent advances in the field, in terms of fabrication processes (two-photon polymerization, micro-stereolithography, infrared stereolithography and stereo-thermal-lithography), materials (novel resins, hydrogels for medical applications and highly reinforced resins with ceramics and metals), computer simulation and applications.

Natural Fibers, Biopolymers, and Biocomposites

Natural Fibers, Biopolymers, and Biocomposites PDF Author: Amar K. Mohanty
Publisher: CRC Press
ISBN: 0203508203
Category : Technology & Engineering
Languages : en
Pages : 896

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Book Description
Natural/Biofiber composites are emerging as a viable alternative to glass fiber composites, particularly in automotive, packaging, building, and consumer product industries, and becoming one of the fastest growing additives for thermoplastics. Natural Fibers, Biopolymers, and Biocomposites provides a clear understanding of the present state

Handbook of Heat Transfer

Handbook of Heat Transfer PDF Author: Warren M. Rohsenow
Publisher: McGraw-Hill Companies
ISBN:
Category : Science
Languages : en
Pages : 1552

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Book Description


Sustainability in the Twenty-First Century

Sustainability in the Twenty-First Century PDF Author: Mohan Munasinghe
Publisher: Cambridge University Press
ISBN: 1108404154
Category : Business & Economics
Languages : en
Pages : 689

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Book Description
Provides a rigorous analysis of sustainable development that includes practical, policy-relevant, global case studies, explained concisely and clearly.

A Manual of Rice Seed Health Testing

A Manual of Rice Seed Health Testing PDF Author: T. W. Mew
Publisher: Int. Rice Res. Inst.
ISBN: 9712200493
Category : Technology & Engineering
Languages : en
Pages : 121

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Book Description
Rice seed health and quarantine; The rice plant and its environment; Equipment; Samples and sampling; dry seed inspection; Fungi; Bacteria; Nematodes; Viruses and mycoplasmalike organisms; Field inspection; Seed treatment; Weed seed; Insect pests; Fungal pathogens; Bacterial pathogens; Nematode pest; Organisms causing grain discoloration and damage.

International Aerospace Abstracts

International Aerospace Abstracts PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 502

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Book Description


Industrial Burners Handbook

Industrial Burners Handbook PDF Author: Jr., Charles E. Baukal
Publisher: CRC Press
ISBN: 0203488806
Category : Science
Languages : en
Pages : 808

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Book Description
Rapid development in the field precipitated by the increased demand for clean burner systems has made the Industrial Burners Handbook into the fields go-to resource. With this resource, bestselling author, editor, and combustion expert Charles Baukal, Jr. has put together a comprehensive reference dedicated to the design and applications of indust

Thermospheric, Ionospheric, Geospheric (TIGER) Symposium

Thermospheric, Ionospheric, Geospheric (TIGER) Symposium PDF Author: G. Schmidtke
Publisher:
ISBN:
Category : Ionosphere
Languages : en
Pages : 272

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Book Description
Covers experimental, modeling and theoretical results with the primary objective of the TIGER initiative to determine the variable solar EUV/UV and X-ray fluxes to improve the existing and future thermospheric-ionospheric (T/I) models and to derive EUV/UV indices or proxies for various applications in space research and space-related fields such as navigation and communication. Future developments and requirements were also reviewed.