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Author: Raphael Urs Keusch Publisher: BoD – Books on Demand ISBN: 3866287682 Category : Computers Languages : en Pages : 275
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.
Author: Raphael Urs Keusch Publisher: BoD – Books on Demand ISBN: 3866287682 Category : Computers Languages : en Pages : 275
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.
Author: Elizabeth Ren Publisher: BoD – Books on Demand ISBN: 3866287925 Category : Computers Languages : en Pages : 288
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.
Author: Paulo Jorge Bártolo Publisher: Springer Science & Business Media ISBN: 0387929045 Category : Technology & Engineering Languages : en Pages : 345
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.
Author: Jr., Charles E. Baukal Publisher: CRC Press ISBN: 0203488806 Category : Science Languages : en Pages : 808
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
Author: Amar K. Mohanty Publisher: CRC Press ISBN: 0203508203 Category : Technology & Engineering Languages : en Pages : 896
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
Author: José María de Teresa Publisher: ISBN: 9780750326087 Category : Nanolithography Languages : en Pages : 0
Book Description
A comprehensive edited volume on important and up-to-date nanolithography techniques and applications. The book includes an introduction on the importance of nanolithography in today's research and technology, providing examples of its applications. The remainder of the book is split into two sections. The first section contains the most important and established nanolithography techniques. As well as a detailed description of each technique, the reader can obtain useful information about the main advantages and drawbacks of each technique in terms of resolution, throughput, number of steps needed, cost, etc. At the end of this section, the reader will be able to decide which technique to use for different applications. The second section explores more specific applications of the nanolithography techniques previously described; as well as new techniques and applications. In some cases, the processes described in these chapters involve a combination of several nanolithography techniques. This section is less general but provides the reader with real examples.
Author: Franco Cataldo Publisher: Springer Science & Business Media ISBN: 9400702213 Category : Science Languages : en Pages : 294
Book Description
The Mathematics and Topology of Fullerenes presents a comprehensive overview of scientific and technical innovations in theoretical and experimental studies. Topics included in this multi-author volume are: Clar structures for conjugated nanostructures; counting polynomials of fullerenes; topological indices of fullerenes; the wiener index of nanotubes; toroidal fullerenes and nanostars; C60 Structural relatives: a topological study; local combinatorial characterization of fullerenes; computation of selected topological indices of C60 and C80 Fullerenes via the Gap Program; 4valent- analogues of fullerenes; a detailed atlas of Kekule structures of C60. The Mathematics and Topology of Fullerenes is targeted at advanced graduates and researchers working in carbon materials, chemistry and physics.
Author: G. Schmidtke Publisher: ISBN: Category : Ionosphere Languages : en Pages : 272
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.
Author: T. W. Mew Publisher: Int. Rice Res. Inst. ISBN: 9712200493 Category : Technology & Engineering Languages : en Pages : 121
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.
Author: Raphael Urs Keusch
Author: Raphael Urs Keusch
Author: Elizabeth Ren
Author: Paulo Jorge Bártolo
Author: Jr., Charles E. Baukal
Author: Amar K. Mohanty
Author: José María de Teresa
Author: Franco Cataldo
Author: 
Author: G. Schmidtke
Author: T. W. Mew