Sign-In
Cart
Space-Filling Design and Kernels: Theory and Algorithms
Hardcover
Series: Springer Statistics
General ComputersProbability & Statistics
ISBN13: 9783032438737
Publisher: Springer
Published: Feb 3 2027
Pages: 665
Language: English
This book provides a unified and comprehensive treatment of space-filling design and kernel methods, bringing together theoretical foundations, practical algorithms, and extensive numerical studies. It examines how finite point sets can be distributed efficiently over bounded domains and offers a systematic account of the principal criteria used to assess their quality, including packing and covering radii, quantization error, discrepancy, and model-based prediction and integration errors.
A distinctive feature of the book is its use of kernels to formulate, analyse, and relax classical space-filling criteria. It develops insightful connections between energy, potential theory, maximum mean discrepancy, reproducing kernel Hilbert spaces, and kernel-based approximation and integration. Particular attention is given to nested designs, in which points are added sequentially while preserving good space-filling properties--an important requirement in applications where observations are expensive or collected progressively.
The presentation combines rigorous mathematical results on optimal distribution of points, convergence, and approximation with implementable greedy algorithms and clear practical recommendations. Extensive numerical comparisons reveal the strengths and limitations of competing criteria and construction methods. The book also addresses the substantial geometric and computational challenges arising in high-dimensional cubes and proposes specialized approaches for high and very high dimensions.
By connecting ideas from approximation theory, potential theory, statistics, machine learning, numerical analysis, and experimental design, the book offers both a valuable reference and a practical guide. It will be useful to researchers, graduate students, and practitioners working with kernel methods, computer experiments, uncertainty quantification, numerical integration, sequential sampling, and efficient design construction.
Also in
Probability & Statistics
R for Data Science: Import, Tidy, Transform, Visualize, and Model Data
Wickham, Hadley
Grolemund, Garrett
Paperback
AP Statistics Premium, 2027: 9 Practice Tests + Comprehensive Review + Online Practice
Sternstein, Martin, PH. D.
Paperback
R for Data Science: Import, Tidy, Transform, Visualize, and Model Data
Wickham, Hadley
Grolemund, Garrett
Cetinkaya-Rundel, Mine
Paperback
Forecasting: Principles and Practice, the Pythonic Way
Hyndman, Rob J.
Athanasopoulos, George
Paperback
Graph Paper Composition Notebook: Quad Ruled 5x5, Grid Paper for Students in Math and Science
Wizo, Math
Paperback
The Art of Uncertainty: How to Navigate Chance, Ignorance, Risk and Luck
Spiegelhalter, David
Paperback
Stat 208 Statistical Thinking: A Book for Stat 208 at Virginia Commonwealth University
Durfee, Becky
Street IV, W. Scott
Paperback
An Introduction to Statistical Learning: With Applications in R
Hastie, Trevor
James, Gareth
Witten, Daniela
Paperback
Mastering Claude AI: Practical Journey from First Prompts to Pro with Claude AI
Dickey, Ryan
Paperback
Ai-Assisted Statistics for Data Scientists: 50+ Essential Concepts Using R and Python
Gedeck, Peter
Bruce, Peter
Bruce, Andrew
Paperback
Introduction to Statistics: An Intuitive Guide for Analyzing Data and Unlocking Discoveries
Frost, Jim
Paperback
How the World Really Works: The Science Behind How We Got Here and Where We're Going
Smil, Vaclav
Paperback
Scale: The Universal Laws of Life, Growth, and Death in Organisms, Cities, and Companies
West, Geoffrey
Paperback
The Art of Uncertainty: How to Navigate Chance, Ignorance, Risk and Luck
Spiegelhalter, David
Hardcover
The Random Universe: How Models and Probability Help Us Make Sense of the Cosmos
Jaffe, Andrew H.
Hardcover
Schaum's Outline of Probability and Statistics, 4th Edition: 897 Solved Problems + 20 Videos
Srinivasan, R. Alu
Spiegel, Murray R.
Schiller, John J.
Paperback
Advanced Statistics in Research: Reading, Understanding, and Writing Up Data Analysis Results
Hatcher, Larry
Paperback
Schaum's Outline of Probability, Random Variables, and Random Processes, Fourth Edition
Hsu, Hwei P.
Paperback
The Only Math Book You'll Ever Need, Revised Edition: Hundreds of Easy Solutions and Shortcuts for Mastering Everyday Numbers
Kogelman, Stanley
Heller, Barbara R.
Paperback
The End of Average: Unlocking Our Potential by Embracing What Makes Us Different
Rose, Todd
Paperback
Building Large Language Models from Scratch: Design, Train, and Deploy Llms with Pytorch
Grigorov, Dilyan
Paperback
Mathletics: How Gamblers, Managers, and Fans Use Mathematics in Sports, Second Edition
Nestler, Scott
Pelechrinis, Konstantinos
Winston, Wayne L.
Paperback
Regression Modeling Strategies: With Applications to Linear Models, Logistic and Ordinal Regression, and Survival Analysis
Harrell Jr, Frank E.
Paperback
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Cheng, Ran
Lee, Peter
Yu, James
Hardcover
How the World Really Works: The Science Behind How We Got Here and Where We're Going
Smil, Vaclav
Hardcover
System Design with AI Interview Guide: Designing Scalable, Agentic, and Defensible Systems
Bhardwaj, Rohit
Paperback
Damned Lies and Statistics: Untangling Numbers from the Media, Politicians, and Activists
Best, Joel
Hardcover
Challenging Mathematical Problems with Elementary Solutions, Vol. I: Volume 1
Yaglom, A. M.
Yaglom, I. M.
Paperback
SQL Server 2025 Unveiled: The Ai-Ready Enterprise Database with Microsoft Fabric Integration
Ward, Bob
Paperback
Databricks Data Intelligence Platform: Unlocking the Genai Revolution
Yip, Jason
Gupta, Nikhil
Paperback
Quantum Computing and Quantum Machine Learning for Engineers and Developers
Van Griensven Thé, Jesse
Rosas-Bustos, Jose
Fraser, Roydon Andrew
Hardcover
Large Language Models: A Deep Dive: Bridging Theory and Practice
Somers, Garrett
Kamath, Uday
Keenan, Kevin
Hardcover
The Master Algorithm: How the Quest for the Ultimate Learning Machine Will Remake Our World
Domingos, Pedro
Paperback
Probably Overthinking It: How to Use Data to Answer Questions, Avoid Statistical Traps, and Make Better Decisions
Downey, Allen B.
Paperback
Making ChatGPT Work for You: Getting the Most Out of Generative AI as a Non-Techie
Evelyn, Lydia
Paperback
The Theory That Would Not Die: How Bayes' Rule Cracked the Enigma Code, Hunted Down Russian Submarines, and Emerged Triumphant from Two Centuries of C
McGrayne, Sharon Bertsch
Paperback
Probably the Best Book on Statistics Ever Written: How to Beat the Odds and Make Better Decisions
Shapira, Haim
Hardcover
Learning Statistics with Jamovi: A Tutorial for Beginners in Statistical Analysis
Navarro, Danielle
Foxcroft, David
Paperback
Time Series Analysis and Its Applications: With R Examples
Stoffer, David S.
Shumway, Robert H.
Hardcover
Guide to Methods for Students of Political Science: Property, Proof, and Dispute in Catalonia Around the Year 1000
Van Evera, Stephen
Paperback
Mathematical Modeling and Computation in Finance: With Exercises and Python and MATLAB Computer Codes
Grzelak, Lech A.
Oosterlee, Cornelis W.
Paperback
AI for Robotics: Toward Embodied and General Intelligence in the Physical World
Gopalakrishnan, Keerthana
Imran, Alishba
Paperback
An Introduction to Statistical Learning: With Applications in Python
Witten, Daniela
Hastie, Trevor
James, Gareth
Hardcover
Modern Time Series Forecasting with Python - Second Edition: Industry-ready machine learning and deep learning time series analysis with PyTorch and p
Joseph, Manu
Tackes, Jeffrey
Paperback
Observability for Large Language Models: Site Reliability and Chaos Engineering for AI at Scale
Sharma, Ankush
Paperback
Scorecasting: The Hidden Influences Behind How Sports Are Played and Games Are Won
Moskowitz, Tobias
Wertheim, L. Jon
Paperback
Machine Learning Q and AI: 30 Essential Questions and Answers on Machine Learning and AI
Raschka, Sebastian
Paperback
A Modern Introduction to Probability and Statistics: Understanding Why and How
Lopuhaä, H. P.
Dekking, F. M.
Kraaikamp, C.
Hardcover
Probably Overthinking It: How to Use Data to Answer Questions, Avoid Statistical Traps, and Make Better Decisions
Downey, Allen B.
Hardcover
Challenging Mathematical Problems with Elementary Solutions, Vol. II: Volume 2
Yaglom, A. M.
Yaglom, I. M.
Paperback
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Cheng, Ran
Lee, Peter
Yu, James
Paperback
Discrete Nonlinear Schrodinger Equation: Beyond Complete Integrability
Zhang, Guoping
Pankov, Alexander
Hardcover
The Elements of Statistical Learning: Data Mining, Inference, and Prediction, Second Edition
Friedman, Jerome
Hastie, Trevor
Tibshirani, Robert
Hardcover
Prompt Engineering for Everyone: A Self-Taught, Human-Centered Approach to AI Programming
Tavakoli, Hamid
Paperback
High-Dimensional Probability: An Introduction with Applications in Data Science
Vershynin, Roman
Hardcover
Introduction to Statistics: An Intuitive Guide for Analyzing Data and Unlocking Discoveries
Frost, Jim
Hardcover
ACCUPLACER Math Prep: ACCUPLACER Math Test Study Guide with Two Practice Tests [Includes Detailed Answer Explanations]
Tpb Publishing
Paperback
The Design Inference: Eliminating Chance through Small Probabilities
Ewert, Winston
Dembski, William A.
Hardcover
Telling Time Workbook: Practice Reading and Draw the Hand on the Clocks One Hour Half Hour 15 5 1 Minutes
Winny, Renzo
Paperback
Large Language Model Recipes: A Hands-On Guide to Fine-Tuning, Optimization, Deployment, and Real-World Applications
Subbaiah, Kalpa
Kaata, Sashi Kiran
Bolla, Bharath Kumar
Paperback
The ESRI Guide to GIS Analysis, Volume 2: Spatial Measurements and Statistics
Griffin, Lauren Scott
Mitchell, Andy
Paperback
Bayesian Analysis with Python - Third Edition: A practical guide to probabilistic modeling
Martin, Osvaldo
Paperback
Databricks Data Intelligence Platform: Powering the Agentic Era
Wojtyczka, Marcin
Yip, Jason
Gupta, Nikhil
Paperback
Building Generative AI Agents: Using Langgraph, Autogen, and Crewai
Taulli, Tom
Deshmukh, Gaurav
Paperback
Making Statistics Work: Information Theory and Bayesian Inference
Foley, Duncan
Scharfenaker, Ellis
Paperback
Unlocking Dbt: Design and Deploy Transformations in Your Cloud Data Warehouse
Cyr, Cameron
Dorsey, Dustin
Paperback
Transformation Enterprise Architecture with Agentic AI: Designing Intelligent, Adaptive, and Self-Governing Systems
Goniwada, Shivakumar R.
Paperback
Deep Learning in Computational Mechanics: An Introductory Course
Weeger, Oliver
Jokeit, Moritz
Herrmann, Leon
Hardcover
Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin
Weinstein, Lawrence
Adam, John a.
Paperback
Practical Generative Ai: From Concept to Deployment: Building and Deploying Ethical AI-Powered Solutions
Singh, Pramod
McKeone, James
Paperback