topics:math

Null Space - Correlations and manifoldsInvestigation of entities through the lens of co-expression matrices and graphs that correspond to them is not a new approach. Co-expression matrices are commonly explored through eigen-decomposition and spectral analysis to investigate _. From graph-theoretic perspective transformation of

Null Space - Why manifold is a good abstraction for realityIt can be argued that much of what happens in dynamic reality is some form of repetition at every level. We repeat our actions, expecting outcomes similar to those that occurred in the past. Genes encode useful patterns passed down to living systems from their predecessors. Atoms combine into

Null Space - Comparative discontinuities in TDAComparative data analysis is a common practice across many disciplines—we often want to understand how two (or more) groups differ: test conditions, experimental groups, or healthy versus diseased populations, for example. The simplest approach might involve statistical tests that differentiate two

Null Space - Hypothesis PrismScientific discoveries are amazing, but they’re often hidden behind walls of dense text and inaccessible formats. What if there was a way to make these complex ideas visual, interactive, and easier to grasp? The hypothesis tetrahedron is a visual tool built on category theory and formal concept

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