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Spectral Cosmology

PCA Reconstruction

Can principal component analysis accurately reconstruct Type Ia supernova spectra?

PhysicsAstronomyCosmologyPCA

Spectral Cosmology

Optimal Components

How many principal components are needed?

PhysicsPCADimensionality ReductionVariance

Spectral Cosmology

Sigma Clipping

Can unusual spectra be identified automatically?

PhysicsOutliersPCAData Cleaning

Spectral Cosmology

PCA Distance

Can spectra be compared in PCA space?

PhysicsPCASimilarityNearest Neighbours

Spectral Cosmology

PCA Clustering

Do supernova spectra form meaningful clusters?

PhysicsClusteringPCASALT2

Spectral Cosmology

Spectral Twins

Can PCA distance identify spectral twins?

PhysicsClassificationROCTwins

Spectral Cosmology

SALT2 Extension

Does spectral information improve Type Ia supernova standardisation?

CosmologySALT2RegressionPCA

Spectral Cosmology

Hubble Analysis

Does improved standardisation reduce Hubble scatter?

CosmologyHubble DiagramResidualsDistance Modulus

Spectral Cosmology

Research Summary

What does the full pipeline show?

PhysicsCosmologyPipelineSummary

Statistical Learning

Titanic Survival

Which passenger features best predict Titanic survival?

Machine LearningClassificationRandom ForestTitanic

Statistical Learning

BAO χ² Optimisation

Can cosmological parameters be estimated by minimising χ²?

CosmologyOptimisationChi-SquaredParameter Fitting

Economic Systems

World Happiness Index

Which indicators are most associated with national happiness?

EconomicsGeopoliticsRegressionVisualisation