Spline (mathematics)

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Related lectures (29)

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Inference: Model Checking

Covers iterative weighted least squares, generalized linear models, and model checking.

Finite Element Method: Global Approach

Explores the finite element method's global approach, including shape functions and systematization.

Parametric Curves: Basics and Applications

Covers the basics of parametric curves, including straight lines, quadratic curves, Bézier curves, and cubic curves.

Gauss-Legendre Quadrature Formulas

Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.

Natural Cubic Splines

Explains the construction of natural cubic splines, emphasizing smoothness and continuity in the function representation.

Complexity: Approximation-Estimation Trade-off

Explores the control of complexity in hypothesis spaces and the trade-off between approximation and estimation in risk decomposition.

Non-parametric Regression: Smoothing Techniques

Explores non-parametric regression techniques, including splines, bias-variance tradeoff, orthogonal functions, wavelets, and modulation estimators.

Interpolation: Spatial Phenomena and Methods

Covers global and local deterministic interpolation methods in geographic information systems, discussing expert knowledge, method selection, and uncertainty estimation.

Deep Neural Networks and Splines

Covers the fundamentals of deep neural networks and splines, exploring their properties, implications, and applications in modern machine learning.