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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,657 papers · 148 categories

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0111 · Aug 201119922001200920172026
10 results for Identity-link

Identity-link IRT improves TVD-MI scores without curvature violations.

problem Preserving additivity in TVD-MI scores for efficient LLM evaluation.
method Derives clipped-linear model from Gini entropy maximization, using identity link.
result Identity-link yields lower curvature violations (median curl 0.080-0.150) compared to probit/logit.

New identities link Frobenius elements to Jones-Wenzl projectors at roots of unity.

problem Understanding relationships between Frobenius elements and Jones-Wenzl projectors at roots of unity.
method Obtained skein identities relating Frobenius elements to Jones-Wenzl projectors in the Kauffman bracket skein module.
result Skein identities provide new proofs of the existence of the Chebyshev-Frobenius homomorphism.

This paper discovers new identities linking geodesic and orthogeodesic lengths on hyperbolic surfaces.

problem Understanding relationships between geodesic and orthogeodesic lengths on hyperbolic surfaces.
method Investigates a broad family of identities involving lengths of all closed geodesics and orthogeodesics.
result Introduces new identities that include lengths of all closed geodesics, contrasting with previous identities.

Proves identities linking curve lengths and orthogeodesics on hyperbolic surfaces.

problem Exploring relationships between curve lengths and orthogeodesics on hyperbolic surfaces.
method Partitioned orthogeodesics into sets based on dynamical behavior, relating them to geodesics on orbifold surfaces.
result Extends a result to surfaces with cusps, showing how to extend a previous result.

Twisted links are obtained from a base link by starting with a nn-braid representation, choosing several (mm) adjacent strands, and applying one or more twists to the set. Various restrictions may be applied, e.g. the twists may be required to be positive or full twists, or the base braid may be required to have a ce…

2011-08-07abs ↗pdf ↗

We introduce thermodynamic response functions for singular Bayesian models.

problem Singular Bayesian models violate regular asymptotics due to non-identifiability and degenerate Fisher geometry.
method Posterior tempering induces thermodynamic response functions, linking WAIC, WBIC, and singular fluctuation.
result WAIC, WBIC, and singular fluctuation are unified within a thermodynamic response framework.

We derive a new radial link for binary classification under shared elliptical distributions.

problem Binary classification under shared-generator elliptical class-conditional distributions.
method We derive the Bayes radial-link family from the within-class radius law and estimate it by a finite fractional-power stochastic-polynomial projection.
result The derived link is asymptotically Bayes-optimal and significantly better than QDA on various benchmarks.