Understanding High Dimensional Spaces
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Understanding High Dimensional Spaces
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Author : David B. Skillicorn
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-27
Understanding High Dimensional Spaces written by David B. Skillicorn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-27 with Business & Economics categories.
This book proposes new ways of thinking about high-dimensional spaces using two models: the skeleton that relates the clusters to one another, and the boundaries in empty space that provide new perspectives on outliers and on outlying regions.
Understanding High Dimensional Spaces
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Author : David B. Skillicorn
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-24
Understanding High Dimensional Spaces written by David B. Skillicorn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-24 with Computers categories.
High-dimensional spaces arise as a way of modelling datasets with many attributes. Such a dataset can be directly represented in a space spanned by its attributes, with each record represented as a point in the space with its position depending on its attribute values. Such spaces are not easy to work with because of their high dimensionality: our intuition about space is not reliable, and measures such as distance do not provide as clear information as we might expect. There are three main areas where complex high dimensionality and large datasets arise naturally: data collected by online retailers, preference sites, and social media sites, and customer relationship databases, where there are large but sparse records available for each individual; data derived from text and speech, where the attributes are words and so the corresponding datasets are wide, and sparse; and data collected for security, defense, law enforcement, and intelligence purposes, where the datasets are large and wide. Such datasets are usually understood either by finding the set of clusters they contain or by looking for the outliers, but these strategies conceal subtleties that are often ignored. In this book the author suggests new ways of thinking about high-dimensional spaces using two models: a skeleton that relates the clusters to one another; and boundaries in the empty space between clusters that provide new perspectives on outliers and on outlying regions. The book will be of value to practitioners, graduate students and researchers.
High Dimensional Statistics
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Author : Martin J. Wainwright
language : en
Publisher: Cambridge University Press
Release Date : 2019-02-21
High Dimensional Statistics written by Martin J. Wainwright and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-21 with Business & Economics categories.
A coherent introductory text from a groundbreaking researcher, focusing on clarity and motivation to build intuition and understanding.
How Surfaces Intersect In Space
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Author : J. Scott Carter
language : en
Publisher: World Scientific
Release Date : 1995
How Surfaces Intersect In Space written by J. Scott Carter and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.
This marvelous book of pictures illustrates the fundamental concepts of geometric topology in a way that is very friendly to the reader. It will be of value to anyone who wants to understand the subject by way of examples. Undergraduates, beginning graduate students, and non-professionals will profit from reading the book and from just looking at the pictures.
Introduction To High Dimensional Statistics
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Author : Christophe Giraud
language : en
Publisher: CRC Press
Release Date : 2021-08-25
Introduction To High Dimensional Statistics written by Christophe Giraud and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-25 with Business & Economics categories.
Praise for the first edition: "[This book] succeeds singularly at providing a structured introduction to this active field of research. ... it is arguably the most accessible overview yet published of the mathematical ideas and principles that one needs to master to enter the field of high-dimensional statistics. ... recommended to anyone interested in the main results of current research in high-dimensional statistics as well as anyone interested in acquiring the core mathematical skills to enter this area of research." —Journal of the American Statistical Association Introduction to High-Dimensional Statistics, Second Edition preserves the philosophy of the first edition: to be a concise guide for students and researchers discovering the area and interested in the mathematics involved. The main concepts and ideas are presented in simple settings, avoiding thereby unessential technicalities. High-dimensional statistics is a fast-evolving field, and much progress has been made on a large variety of topics, providing new insights and methods. Offering a succinct presentation of the mathematical foundations of high-dimensional statistics, this new edition: Offers revised chapters from the previous edition, with the inclusion of many additional materials on some important topics, including compress sensing, estimation with convex constraints, the slope estimator, simultaneously low-rank and row-sparse linear regression, or aggregation of a continuous set of estimators. Introduces three new chapters on iterative algorithms, clustering, and minimax lower bounds. Provides enhanced appendices, minimax lower-bounds mainly with the addition of the Davis-Kahan perturbation bound and of two simple versions of the Hanson-Wright concentration inequality. Covers cutting-edge statistical methods including model selection, sparsity and the Lasso, iterative hard thresholding, aggregation, support vector machines, and learning theory. Provides detailed exercises at the end of every chapter with collaborative solutions on a wiki site. Illustrates concepts with simple but clear practical examples.
Explainable Ai In Healthcare
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Author : Mehul S Raval
language : en
Publisher: CRC Press
Release Date : 2023-07-17
Explainable Ai In Healthcare written by Mehul S Raval and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-17 with Medical categories.
This book combines technology and the medical domain. It covers advances in computer vision (CV) and machine learning (ML) that facilitate automation in diagnostics and therapeutic and preventive health care. The special focus on eXplainable Artificial Intelligence (XAI) uncovers the black box of ML and bridges the semantic gap between the technologists and the medical fraternity. Explainable AI in Healthcare: Unboxing Machine Learning for Biomedicine intends to be a premier reference for practitioners, researchers, and students at basic, intermediary levels and expert levels in computer science, electronics and communications, information technology, instrumentation and control, and electrical engineering. This book will benefit readers in the following ways: Explores state of art in computer vision and deep learning in tandem to develop autonomous or semi-autonomous algorithms for diagnosis in health care Investigates bridges between computer scientists and physicians being built with XAI Focuses on how data analysis provides the rationale to deal with the challenges of healthcare and making decision-making more transparent Initiates discussions on human-AI relationships in health care Unites learning for privacy preservation in health care
Mathematical Foundations For Deep Learning
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Author : Mehdi Ghayoumi
language : en
Publisher: CRC Press
Release Date : 2025-08-05
Mathematical Foundations For Deep Learning written by Mehdi Ghayoumi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-05 with Computers categories.
Mathematical Foundations for Deep Learning bridges the gap between theoretical mathematics and practical applications in artificial intelligence (AI). This guide delves into the fundamental mathematical concepts that power modern deep learning, equipping readers with the tools and knowledge needed to excel in the rapidly evolving field of artificial intelligence. Designed for learners at all levels, from beginners to experts, the book makes mathematical ideas accessible through clear explanations, real-world examples, and targeted exercises. Readers will master core concepts in linear algebra, calculus, and optimization techniques; understand the mechanics of deep learning models; and apply theory to practice using frameworks like TensorFlow and PyTorch. By integrating theory with practical application, Mathematical Foundations for Deep Learning prepares you to navigate the complexities of AI confidently. Whether you’re aiming to develop practical skills for AI projects, advance to emerging trends in deep learning, or lay a strong foundation for future studies, this book serves as an indispensable resource for achieving proficiency in the field. Embark on an enlightening journey that fosters critical thinking and continuous learning. Invest in your future with a solid mathematical base, reinforced by case studies and applications that bring theory to life, and gain insights into the future of deep learning.
The Mathematical Sciences Role In Homeland Security
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Author : National Research Council
language : en
Publisher: National Academies Press
Release Date : 2004-05-15
The Mathematical Sciences Role In Homeland Security written by National Research Council and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-15 with Computers categories.
Mathematical sciences play a key role in many important areas of Homeland Security including data mining and image analysis and voice recognition for intelligence analysis, encryption and decryption for intelligence gathering and computer security, detection and epidemiology of bioterriost attacks to determine their scope, and data fusion to analyze information coming from simultaneously from several sources. This report presents the results of a workshop focusing on mathematical methods and techniques for addressing these areas. The goal of the workshop is to help mathematical scientists and policy makers understand the connections between mathematical sciences research and these homeland security applications.
On Intelligence
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Author : Jeff Hawkins
language : en
Publisher: Macmillan
Release Date : 2007-04-01
On Intelligence written by Jeff Hawkins and has been published by Macmillan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-01 with Computers categories.
The inventor of the PalmPilot shares a compelling new theory of intelligence, brain function, and the future of artificial intelligence. Tech innovator Jeff Hawkins reshaped our relationship to computers with devices like the PalmPilot. Now he stands ready to revolutionize both neuroscience and computing in one stroke, with a new understanding of intelligence itself. In this book, Hawkins develops a powerful theory of human cognition and explains how, based on his theory, we can finally build intelligent machines. According to Hawkins, the brain is a complex system that remembers sequences of events and their nested relationships. This style of organization reflects the true structure of the world and allows us to make increasingly accurate predictions. This memory-prediction process in turn forms the basis of intelligence, perception, creativity, and even consciousness. In an engaging style accessible to the general reader, Hawkins shows how a clear understanding of brain function can be applied to building intelligent machines, in silicon, that will exceed our human ability in surprising ways. Written with acclaimed science writer Sandra Blakeslee, On Intelligence is a landmark book in its scope and clarity. “Brilliant and imbued with startling clarity . . . the most important book in neuroscience, psychology, and artificial intelligence in a generation.” —Malcolm Young, University of Newcastle
Human And The 4th Dimension Volume 1
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Author : Prof. Dr. Bilal Semih Bozdemir
language : en
Publisher: Prof. Dr. Bilal Semih Bozdemir
Release Date :
Human And The 4th Dimension Volume 1 written by Prof. Dr. Bilal Semih Bozdemir and has been published by Prof. Dr. Bilal Semih Bozdemir this book supported file pdf, txt, epub, kindle and other format this book has been release on with Art categories.
Human and the 4th Dimension The mystery of time Linear vs. non-linear perception of time Objective vs. subjective time The arrow of time Einstein's theory of relativity Time dilation and length contraction The space-time continuum Black holes and time travel The grandfather paradox Quantum entanglement and the nature of time Consciousness and the experience of time Altered states of consciousness and time perception The human brain and time processing Chronobiology and circadian rhythms Biological clocks and the 24-hour cycle Sleep, dreams, and the perception of time Aging and the subjective experience of time The psychology of waiting and time estimation Cultural and linguistic differences in time perception Monochronic vs. polychronic time orientation The value of time and time management Time scarcity and the "busy" epidemic Mindfulness and the present moment Procrastination and the distortion of time Nostalgia and the selective memory of time The role of technology in shaping time perception Digital disruption and the acceleration of time The need for work-life balance in a fast-paced world The future of time: AI, automation, and the human experience Ethical considerations in the manipulation of time The universality and uniqueness of the human experience of time Exploring the metaphysical and spiritual dimensions of time Conclusion: Embracing the 4th dimension of human existence