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0111 · Dec 200919922001200920182026
3 results for reIndexer

Let MiM_i and NiN_i be path-connected locally uniquely geodesic metric spaces that are not points and f:i=1mMii=1nNif:\prod_{i=1}^m M_i\to \prod_{i=1}^n N_i be an isometry where i=1nNi\prod_{i=1}^n N_i and i=1mMi\prod_{i=1}^m M_i are given the sup metric. Then m=nm=n and after reindexing MiM_i is isometric to NiN_i for all ii. Moreover $f…

2009-12-17abs ↗pdf ↗

A new sector classification method outperforms existing ones in risk-adjusted returns.

problem Subjective sector classification heuristics like GICS and NAICS are not optimal.
method Learned sector classification using hierarchical clustering and reIndexer evaluation tool.
result 17-sector learned sector universe outperforms GICS and NAICS in backtests.

Geometric finiteness theory for essential surfaces in knot exteriors with geometric bounds.

problem Understanding the topology of essential surfaces in knot exteriors with geometric constraints.
method Developed a relative geometric finiteness theory using bounded geometry and thickness conditions.
result Every bounded-geometry slice contains only finitely many pair-isotopy classes, and topology is recoverable from finite geometric data.