As VLSI technology scales into nanometer regime, chip design engineering faces
several challenges. One profound change in the chip design business is that engineers
cannot realize the design precisely into the silicon chips. Chip performance,
manufacture yield, and lifetime thereby cannot be determined accurately at the
design...
"The present book gives a concise treatment of the area, aiming to show the relevance in particular of new developments in nonsmooth analysis to optimization theory…The book is of a manageable size and as such should appeal to the student. Further, the proofs are generally short and snappy, revealing the power...
The central object of the book is Q-curvature. This important and subtle scalar Riemannian curvature quantity was introduced by Tom Branson about 15 year ago in connection with variational formulas for determinants of conformally covariant differential operators. The book studies structural properties of Q-curvature from an extrinsic point of view...
This book presents the most recent achievements in data assimilation in Geosciences, especially in regards to meteorology, oceanography and hydrology. It spans both theoretical and applied aspects with various methodologies including variational, Kalman filter, maximum likelihood ensemble filter and other ensemble methods. Besides data...
By the detailed analysis of the modern development of the mechanics of deformable media can be found the deep internal contradiction. From the one hand it is declared that the deformation and fracture are the hierarchical processes which are linked and unite several structural and scale levels. From the other hand the sequential investigation of...
This book functions as the definitive overview of the field of super-resolution imaging. Written by the leading researchers in the field of image and video super-resolution, it surveys the latest state-of-the-art techniques in super-resolution imaging. Each detailed chapter provides coverage of the implementations and applications of...
Quadratic programming (QP) is one advanced mathematical technique that allows for the optimization of a quadratic function in several variables in the presence of linear constraints. This book presents recently developed algorithms for solving large QP problems and focuses on algorithms which are, in a sense optimal, i.e., they can solve...
Over the last few decades, energy minimization methods have become an established
paradigm to resolve a variety of challenges in the fields of computer vision
and pattern recognition. While traditional approaches to computer vision were
often based on a heuristic sequence of processing steps and merely allowed a
very limited...
A variety of problems m machine learning and digital communication deal with complex but structured natural or artificial systems. Natural patterns mat we wish to automatically classify' are a consequence of a hierarchical causal physical process. Learning about the world
m which we live requires mat we extract useful sensor)'...
It is surprising when we realize just how much we are surrounded by images.
Images allow us not only to perform complex tasks on a daily basis, but also
to communicate, transmit information, represent and understand the world
around us. Just think, for instance about digital television, medical imagery,
video-surveillance, etc....
This is the first book to introduce Green-function-based multiscale theory and the corresponding finite element method, which are readily applicable to composites and random media. The methodology is considered to be the one that most effectively tackles the uncertainty of stress propagation in complex heterogeneities of random...