Spline (mathematics)

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Related lectures (29)

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Cubic Splines and Least-Squares Approximation

Explores cubic splines and least-squares approximation, focusing on interpolation methods and error analysis.

Piecewise Linear Interpolation and Spline Interpolation

Covers piecewise linear and spline interpolation methods, stability, convergence, and data interpolation using splines.

Spline Interpolation and Approximation

Explores spline interpolation, least-squares approximation, and error analysis in interpolation.

Equivalent Degrees of Freedom in Spline Smoothing

Explores equivalent degrees of freedom in spline smoothing and the bias-variance tradeoff in fitting data.

Spline Interpolation: Definition and Error Analysis

Explains spline interpolation and error analysis in approximating data points using piecewise linear and spline methods.

Regression Methods: Spline Smoothing

Covers regression methods focusing on spline smoothing and penalised fitting to balance data fidelity and smoothness.

Piecewise Linear Interpolation

Covers the concept of piecewise linear interpolation and the importance of dividing intervals correctly.

More on Splines: Penalised Likelihood and Natural Cubic Splines

Explores penalised likelihood and natural cubic splines, showcasing the unique explicit solution and the optimality of spline interpolation.

Deep Splines: Unifying Framework for Deep Neural Networks

Introduces a functional framework for deep neural networks with adaptive piecewise-linear splines, focusing on biomedical image reconstruction and the challenges of deep splines.

Transformations of Input or Output

Covers handling missing data, feature engineering, and output transformations in machine learning.