Polynomial Regression 001 IMPL

2025 December

NOTE: REFER README.PDF, THATS THE UPTODATE DOCUMENTATION FOR THIS PROJECT

Versions

NTerms

STAGE 3

Added L1 Regularisation and Dynamic Pruning to eliminate non-essential Terms

STAGE 2

Added Normalisation and Exponent Clamping

STAGE 1

Simple NSLOTS NPARAM Dynamic Polynomial Regression with Learnable Exponents (NTERMS Is a static constant)

Full File Dictionary for NTerms

• STAGE-1-ATTP001_Polynomial_regression_impl_001_Dynamic_Exponents_NSLOTS_NPARAM.ipynb
• HALF-STAGE2-ATTP001_Polynomial_regression_impl_001_Dynamic_Exponents_NSLOTS_NPARAM.ipynb
• STAGE-2-ATTP001_Polynomial_regression_impl_001_Dynamic_Exponents_NSLOTS_NPARAM-Normalisation-Clamping.ipynb
• STAGE-2.1-ATTP001_Polynomial_regression_impl_001_Dynamic_Exponents_NSLOTS_NPARAM-SinX-150000.ipynb
• STAGE-3-ATTP001_Polynomial_regression_impl_001_Dynamic_Exponents_NSLOTS_NPARAM-L1-Regularisation.ipynb
• STAGE-3.1-ATTP001_Polynomial_regression_impl_001_Dynamic_Exponents_NSLOTS_NPARAM-L1-Regularisation-Optimised.ipynb
• STAGE-3.2-ATTP001_Polynomial_regression_impl_001_Dynamic_Exponents_NSLOTS_NPARAM-Params-tweaked.ipynb

StaticTerms

These are simply regression line equasions that have Parameterised Coefficients and **Learnable Exponents**. Though there are a fixed number of terms. (Refer documentation)

The regression line consists of a fixed number of Cn X ^ En terms

Polynomial_regression_impl_001_Dynamic_Exponents_3SLOTS_6PARAM-DSCubic

3 `Cn X ^ En` terms (6 Parameters) on a Cubic Dataset

Polynomial_regression_impl_001_Dynamic_Exponents_3SLOTS_6PARAM-DSQuadratic

3 `Cn X ^ En` terms (6 Parameters) on a Quadratic Dataset

Polynomial_regression_impl_001_Dynamic_Exponents_3SLOTS_6PARAM-DSSINX

3 `Cn X ^ En` terms (6 Parameters) on a SinX Dataset

REV001-Polynomial_regression_impl_001_Dynamic

3 `Cn X ^ En` terms (6 Parameters)

Static-Exponents

These are simply regression line equasions that have Parameterised Coefficients and Fixed Exponents. EG: Quadratic Regression, Cubic Regression

2 Degrees

• REV-001-Polynomial_regression_impl_001
• REV-002-Polynomial_regression_impl_001

3 Degrees

• Polynomial_regression_impl_001_3DEG_ipynb