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978-1-80433-871-1
Mathematics Edited Book | Edited Book on Mathematics
This edited book on mathematics titled "Advances in Mathematics for Modeling, Computation and Data Science" mainly focuses on various topics such as mathematical modeling basics, differential equation models, dynamical systems etc., and the rest are given below in the Scope of the book. This mathematics edited book will be published with ISBN numbers after following a proper double blind peer reviewed process. All the chapters of this mathematics edited book will be published in a proper style, so that reader can easily understand and learn.
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Indexed In
Invited Topics
Sparse Linear
Systems and Iterative Solver Strategies
Randomized
Numerical Linear Algebra for Big Data Applications
Numerical
Integration and Quadrature Methods for High Accuracy
Finite
Difference Methods for PDE-Based Modeling
Finite Element
Methods for Multiphysics Simulations
Spectral
Methods for Efficient PDE Computation
Adaptive Mesh
Refinement and Error Estimation Techniques
Monte Carlo
Simulation and Variance Reduction Methods
Quasi-Monte
Carlo and Low-Discrepancy Sequences in Computation
Bayesian
Computation Using MCMC and Variational Inference
Probabilistic
Modeling and Bayesian Decision Theory
Time Series
Modeling: Stationarity, Trends and Seasonality
State-Space
Models and Kalman Filtering for Sequential Data
Stochastic
Processes and Applications in Finance and Engineering
Random Matrix
Theory in High-Dimensional Statistics
Concentration
Inequalities and Generalization Bounds in Learning
Statistical
Learning Theory and Risk Minimization Principles
Regularization
Methods for Robust Regression
Robust
Statistics and Outlier-Resistant Modeling
Classification
Theory: Margin, Loss Functions and Consistency
Clustering
Methods and Objective-Based Formulations
Dimensionality
Reduction Using PCA, SVD and Manifold Learning
Kernel Methods
and Reproducing Kernel Hilbert Spaces
Support Vector
Machines and Convex Learning Formulations
Gaussian
Processes for Regression and Uncertainty Estimation
Neural Network
Approximation Theory and Expressivity
Optimization
Landscapes in Deep Learning: Theory and Practice
Gradient
Descent, Acceleration and Adaptive Optimization Methods
Automatic
Differentiation and Computational Graph Mathematics
Numerical
Stability and Conditioning in Data-Intensive Computation
Compressed
Sensing and Sparse Recovery Theory
Signal
Processing Models Through Linear Operators and Transforms
Wavelets and
Multiresolution Analysis for Data Representation
Information
Theory Measures for Machine Learning and Inference
Entropy,
Divergence and Mutual Information in Feature Selection
Optimal
Transport Theory and Computational Algorithms
Topological
Data Analysis: Persistent Homology and Applications
Computational
Geometry for Data Science and Visualization
Voronoi
Diagrams and Delaunay Triangulations in Modeling
Approximation
Theory for Function Learning and Interpolation
Polynomial
Approximation and Chebyshev Methods in Computation
Numerical
Optimization for PDE-Constrained Learning Problems
Inverse
Problems and Regularization in Imaging and Sensing
Uncertainty Quantification
for Mathematical Models and Predictions
Sensitivity
Analysis and Parameter Identifiability in Models
Model
Calibration Techniques Using Optimization and Bayesian Methods
Validation
Metrics and Goodness-of-Fit for Mathematical Models
Surrogate
Modeling and Reduced-Order Modeling Strategies
Scientific
Machine Learning and Physics-Informed Neural Networks
Operator
Learning and Neural PDE Solvers: Mathematical Viewpoints
Multiscale
Modeling and Homogenization Techniques
Computational
Methods for Complex Systems and Emergent Behavior
High-Performance
Computing for Large-Scale Mathematical Models
Parallel
Algorithms for Linear Algebra and Optimization
Numerical
Methods for Big Data: Streaming and Online Computation
Randomized
Algorithms in Data Science and Numerical Analysis
Graph
Algorithms for Large-Scale Networks and Social Data
Optimization
for Recommender Systems and Ranking Models
Mathematical
Methods for Anomaly Detection and Rare Event Modeling
Change-Point
Detection and Sequential Hypothesis Testing
Mathematical
Foundations of Reinforcement Learning and Control
Dynamic
Programming, Bellman Equations and Approximate Solutions
Game Theory
Models for Multi-Agent Data Systems
Fairness
Constraints and Mathematical Formulations in ML
Privacy and Differential
Privacy: Mathematical Guarantees
Causal
Inference: Graphical Models and Identification Theory
Experimental
Design and Active Learning with Mathematical Criteria
Statistical
Resampling: Bootstrap Methods and Confidence Intervals
Large
Deviations Theory and Extreme Value Modeling
Risk Measures
and Robust Optimization Under Uncertainty
Numerical
Methods for Graphical Models and Probabilistic Inference
Matrix
Completion and Low-Rank Recovery for Missing Data
Tensor Methods
for Multidimensional Data and Factorization
Optimization
and Mathematics of Deep Generative Models
Mathematical
Approaches to Explainability and Interpretability
Benchmarking
Mathematical Models: Reproducibility and Best Practices
Emerging Trends
in Mathematical Methods for Data Science
Interdisciplinary
Case Studies in Modeling and Computation
Translating
Mathematical Theory into Scalable Data Systems
Roadmap for Future Research in Mathematical
Modeling and Data Science