Can a spectrum reveal a geometry?
The Laplace-Beltrami spectrum, heat traces and the boundary between measurable frequencies and hidden geometric structure.
Open note
MindbazarArticles / 03
Structure precedes computation
Mathematics
The structures that make modern computation legible: vectors, spaces, transformations and probability.
Editorial scopeThe questions
The questions
inside this field.
- Linear algebra
- Calculus
- Probability
- Geometry
Research notes / 03Questions under
Questions under
active examination.
Attention as a learned geometry
A careful reading of scaled dot-product attention as a data-dependent operator on representation space, without turning analogy into ontology.
Open noteFrom echoes to hidden structure
Inverse problems, regularization and identifiability: the mathematics connecting radar echoes, tomography and scientific inference.
Open note