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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.

168,742 papers · 148 categories

Trend · papers per month

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0.3%0.5%0.8%0.2% · May 201519922001200920172026
10 results for “antisymmetry”
Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistryquant-ph

Derives symmetric and antisymmetric kernels for quantum physics and chemistry applications.

problem Efficiently handling symmetries and antisymmetries in machine learning for quantum physics and chemistry.
method Symmetrizing and antisymmetrizing conventional kernels, analyzing feature space dimensions, proving kernel properties, proposing Slater determinant representation.
result Efficient evaluation of antisymmetric Gaussian kernels even in high-dimensional state spaces, significant reduction in training data size.
machine learningquantum physicschemistrysymmetryantisymmetry
2021-03-31abs ↗pdf ↗
Directional Kernel Mean Difference: A Fast Signed Statistic for Univariate Distribution Comparisonstat.ML

DKMD is a fast signed statistic for comparing univariate distributions.

problem Comparing univariate distributions, especially preserving directionality.
method DKMD integrates kernel mean embeddings against an odd weighting function.
result DKMD preserves directionality and is robust to outliers.
distribution comparisonsigned statisticantisymmetrystochastic dominancekernel mean embedding
2026-07-22abs ↗pdf ↗
A note on the theoretical approach to Grassmannians and Plücker coordinates for additive skew-symmetric pairwise comparisons matricesmath.DG

Study embeds PC matrices into Grassmannian manifold for geometric interpretation.

problem Understanding algebraic consistency of pairwise comparisons matrices.
method Leverages Plücker coordinates and geometric interpretation of Grassmannian manifold.
result Algebraic consistency condition is equivalent to geometric consistency in G(2,n)G(2, n).
Grassmannian manifoldPlücker coordinatespairwise comparisonsantisymmetrydifferential forms
2025-01-17abs ↗pdf ↗
Learning Hierarchy-Aware Knowledge Graph Embeddings for Link Predictioncs.LG

HAKE embeds entities in polar coordinates to model semantic hierarchies in knowledge graphs.

problem Lack of modeling semantic hierarchies in knowledge graph embeddings.
method HAKE embeds entities in a polar coordinate system, where the radial coordinate represents hierarchy levels and the angular coordinate distinguishes entities at the same level.
result HAKE significantly outperforms existing methods on link prediction tasks in knowledge graphs.
knowledge graph embeddinghierarchy modelinglink predictionpolar coordinatessemantic hierarchy
2019-11-21abs ↗pdf ↗
A Classical Elliptic Regularity Approach to Almost Harmonic Maps and Related Systemsmath.AP

Establishes interior regularity results for a broad class of two-dimensional nonlinear elliptic systems using a unified abstract framework.

problem Interior regularity results for two-dimensional nonlinear elliptic systems
method A unified abstract framework built around a Campanato-type discrete iteration scheme coupled with a Caccioppoli-type estimate
result Local Hölder continuity of the map u\boldsymbol{u} is established, with an explicit Hölder exponent that optimally attains the classical Morrey--Campanato threshold dictated by the Lebesgue integrability of the source term f\boldsymbol{f}
regularityelliptic systemsHölder continuityCampanatoCaccioppoli
2026-06-21abs ↗pdf ↗
An Analysis of Active Learning With Uniform Feature Noisestat.ML

In active learning, the user sequentially chooses values for feature XX and an oracle returns the corresponding label YY. In this paper, we consider the effect of feature noise in active learning, which could arise either because XX itself is being measured, or it is corrupted in transmission to the oracle, or the o…

2015-05-15abs ↗pdf ↗