the Nest of Students

A Boltzmann machine is a network of symmetrically connected, neuron-like units that make stochastic decisions about whether to be on or off. Boltzmann machines have a simple learning algorithm that allows them to discover interesting features that represent complex regularities in the training data. The learning algorithm is very slow in networks with many layers of feature detectors, but it is fast in "restricted Boltzmann machines" that have a single layer of feature detectors. Many hidden layers can be learned efficiently by composing restricted Boltzmann machines, using the feature activations of one as the training data for the next. Boltzmann machines are used to solve two quite different computational problems. For a search problem, the weights on the connections are fixed and are used to represent a cost function. The stochastic dynamics of a Boltzmann machine then allow it to sample binary state vectors that have low values of the cost function. For a learning problem, the Boltzmann machine is shown a set of binary data vectors and it must learn to generate these vectors with high probability. To do this, it must find weights on the connections so that, relative to other possible binary vectors, the data vectors have low values of the cost function. To solve a learning problem, Boltzmann machines make many small updates to their weights, and each update requires them to solve many different search problems.

Cesar Perez Lopez ... 368 pages - Publisher: Apress; 1st edition (December, 2014) ... Language: English - ISBN-10: 148420350X - ISBN-13: 978-1484203507 ...

MATLAB Mathematical Analysis is a reference book that presents the techniques of mathematical analysis through examples and exercises resolved with MATLAB software. The purpose is to give you examples of the mathematical analysis functions offered by MATLAB so that you can use them in your daily work regardless of the application. The book supposes proper training in the mathematics and so presents the basic knowledge required to be able to use MATLAB for calculational or symbolic solutions to your problems for a vast amount of MATLAB functions. The book begins by introducing the reader to the use of numbers, operators, variables and functions in the MATLAB environment. Then it delves into working with complex variables. A large section is devoted to working with and developing graphical representations of curves, surfaces and volumes. MATLAB functions allow working with two-dimensional and three-dimensional graphics, statistical graphs, curves and surfaces in explicit, implicit, parametric and polar coordinates. Additional work implements twisted curves, surfaces, meshes, contours, volumes and graphical interpolation. The following part covers limits, functions, continuity and numerical and power series. Then differentiation is addressed in one and several variables including differential theorems for vector fields. Thereafter the topic of integration is handled including improper integrals, definite and indefinite integration, integration in multiple variables and multiple integrals and their applications. Differential equations are exemplified in detail, Laplace transforms, Tayor series, and the Runga-Kutta method and partial differential equations.

Farzad Ebrahimi ... 408 pages - Publisher: InTech; (2016) ... Language: English - ISBN-10: 9535107690 ...

S. S. Bhavikatti ... 348 pages - Publisher: New Age International Publishers; 1st edition (February, 2004) ... Language: English - ISBN-10: 8122436714 - ISBN-13: 978-8122436716 ... With the author`s experience of teaching the courses on Finite Element Analysis to undergraduate and postgraduate students for several years, the author felt need for writing this book. The concept of Finite Element Analysis, finding properties of various elements and assembling stiffness equation is developed systematically by splitting the subject into various chapters. The method is made clear by solving many problems by hand calculations. The application of finite element method to plates, shells and nonlinear analysis is presented. After listing some of the commercially available finite element analysis packages, the structure of a finite element program and the desired features of commercial packages are discussed.

Nishantha Bandara, Manjriker Gunaratne ... 112 pages - Publisher: Momentum Press; (February, 2018) ... Language: English - ISBN-10: 1606505408 - ISBN-13: 978-1606505403.

Familiarity with geotechnical aspects of pavement engineering is essential for the practicing pavement engineer. When designing pavements, accurate characterization of the existing subgrade condition becomes a crucial task. In the past, traditional geotechnical exploration and testing methods have been used to characterize existing subgrade conditions. However, with the introduction of the Mechanistic-Empirical (ME) pavement design, there is a need for improved and more appropriate methods of subgrade characterization, for prediction of future pavement conditions with better accuracy. Hence, this handbook will present a useful tool for practicing pavement engineers.

Efstratios Nikolaidis, Dan M. Ghiocel ... 1216 pages - Publisher: CRC Press; 1st edition (July, 2004) ... Language: English - ISBN-10: 0849311802 - ISBN-13: 978-0849311802 ...

Researchers in the engineering industry and academia are making important advances on reliability-based design and modeling of uncertainty when data is limited. Non deterministic approaches have enabled industries to save billions by reducing design and warranty costs and by improving quality. Considering the lack of comprehensive and definitive presentations on the subject, Engineering Design Reliability Handbook is a valuable addition to the reliability literature. It presents the perspectives of experts from the industry, national labs, and academia on non-deterministic approaches including probabilistic, interval and fuzzy sets-based methods, generalized information theory, Dempster-Shaffer evidence theory, and robust reliability. It also presents recent advances in all important fields of reliability design including modeling of uncertainty, reliability assessment of both static and dynamic components and systems, design decision making in the face of uncertainty, and reliability validation. The editors and the authors also discuss documented success stories and quantify the benefits of these approaches.