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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.

169,341 papers · 148 categories

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48 results for web technologies

Much information available on the web is copied, reused or rephrased. The phenomenon that multiple web sources pick up certain information is often called trend. A central problem in the context of web data mining is to detect those web sources that are first to publish information which will give rise to a trend. We p…

2012-06-27abs ↗pdf ↗

Categorifies symmetric link invariants using foam technology.

problem Categorify symmetric link invariants using slN\mathfrak{sl}_N-webs.
method Finite dimensional categorification of symmetric evaluation of slN\mathfrak{sl}_N-webs using foam technology.
result Categorifies symmetric link invariants, providing a spectral sequence from Khovanov-Rozansky to symmetric.

TableQnA answers web queries about lists and superlatives from HTML tables.

problem Answer web queries about lists and superlatives from HTML tables.
method Extract intent from queries, use structure-aware matching, and train models with automatic data generation.
result Significantly higher precision and coverage for list and superlative queries.

This paper explores IT governance for CBDC adoption in financial markets.

problem Adopting CBDC requires new IT governance models in financial markets.
method Systematic Literature Review (SLR) of 14 studies on IT resources and governance models.
result Many IT resources and preliminary IT designs for CBDC governance identified.

A new platform helps detect and manage pressure ulcers.

problem Detecting and managing pressure ulcers efficiently.
method Convolutional neural networks and transfer learning.
result Automated skin damage and pressure ulcer assessment tool.

Securely trains regression models with secret sharing for data collaboration.

problem Balancing data collaboration for technological improvements with security concerns.
method Secret sharing scheme for scalable and efficient secure multiparty training.
result Scalable and efficient protocols for training linear and logistic regression models.

We find an invariant characterization of planar webs of maximum rank. For 4-webs, we prove that a planar 4-web is of maximum rank three if and only if it is linearizable and its curvature vanishes. This result leads to the direct web-theoretical proof of the Poincaré's theorem: a planar 4-web of maximum rank is lineari…

2006-05-04abs ↗pdf ↗

Classifies hexagonal circular 3-webs with cubic polar curves.

problem Classifying hexagonal circular 3-webs with algebraic polar curves of degree three.
method Analyzes hexagonal circular 3-webs on unit sphere with polar points on a twisted cubic.
result Completes the classification of hexagonal circular 3-webs with algebraic polar curves of degree three.

We construct flat 3-webs via semi-simple geometric Frobenius manifolds of dimension three and give geometric interpretation of the Chern connection of the web. These webs turned out to be biholomorphic to the characteristic webs on the solutions of the corresponding associativity equation. We show that such webs are he…

2011-08-09abs ↗pdf ↗

We give various results and applications using the connection (E,)(E,\nabla) associated with a dd-web. Precisely, we exhibit fundamental invariants of the web related to the differential equation of first order which presents the web. They cast some new lights on the connection and its construction, both conceptually an…

2007-02-12abs ↗pdf ↗

We investigate the linearizability problem for different classes of 4-webs in the plane. In particular, we apply a recently found in [AGL] the linearizability conditions for 4-webs in the plane to confirm that a 4-web MW (Mayrhofer's web) with equal curvature forms of its 3-subwebs and a nonconstant basic invariant is …

2002-09-22abs ↗pdf ↗

In the present paper we study geometric structures associated with webs of hypersurfaces. We prove that with any geodesic (n+2)-web on an n-dimensional manifold there is naturally associated a unique projective structure and, provided that one of web foliations is pointed, there is also associated a unique affine struc…

2008-12-11abs ↗pdf ↗

Projective invariants described for 3-web geometry, resolving Gronwall's conjecture.

problem Projective invariants of linear 3-webs and resolving Gronwall's conjecture.
method Projective torsion-free Cartan connections, web leaves as geodesics, algorithm for resolving Gronwall's conjecture.
result Resolved Gronwall's conjecture for specific 3-webs.

In this paper we study the linearizability problem for 3-webs on a 2-dimensional manifold. With an explicit computation based on the theory developed in the paper "On the linearizability of 3-webs" (Nonlinear analysis 47, (2001) pp. 2643-2654), we examine a 3-web whose linearizability was claimed in the same paper. We …

2006-02-23abs ↗pdf ↗

Veronese webs appear as the natural way of passing to the quotient of curves in the projective space. In thi paper, we give the link between classical multidimensionnal webs and veronse webs by mean of interpolation.

2004-08-18abs ↗pdf ↗

In this paper, we reconstruct Kuperberg's G2G_2 web space. We introduce a new web (a trivalent diagram) and new relations between Kuperberg's web diagrams and the new diagram. Using the G2G_2 webs, we define crossing formulas corresponding to R-matrices associated to some G2G_2 irreducible representations and calculate…

2015-03-29abs ↗pdf ↗

Gronwall conjecture states that a planar 3-web which admits more than one distinct linearization is locally equivalent to an algebraic web. We give a partial answer to the conjecture in the affirmative for the class of planar 3-webs with the web curvature that vanishes to order three at a point. The differential relati…

2011-02-01abs ↗pdf ↗

We find relative differential invariants of orders eight and nine for a planar nonparallelizable 3-web such that their vanishing is necessary and sufficient for a 3-web to be linearizable. This solves the Blaschke conjecture for 3-webs. As a side result, we show that the number of linearizations in the Gronwall conject…

2004-11-21abs ↗pdf ↗

Although classical economic theory is based on the concept of stable equilibrium, real economic systems appear to be always out of equilibrium. Indeed, they share many of the dynamical features of other complex systems, e.g., ecological food-webs. We focus on the relation between increasing complexity of the economic n…

2010-09-06abs ↗pdf ↗

Local classification of quasilinear systems with linearizable characteristic webs.

problem Classifying quasilinear systems with linearizable characteristic webs.
method Reciprocal transformations to uncoupled Hopf equations.
result Every quasilinear system with n>3 components can be transformed to n uncoupled Hopf equations.

The Gronwall conjecture states that a planar 3-web of foliations which admits more than one distinct linearizations is locally equivalent to an algebraic web. We propose an analogue of the Gronwall conjecture for the 3-web of foliations by Legendrian curves in a contact three manifold. The Legendrian Gronwall conjectur…

2012-02-29abs ↗pdf ↗

We study non-flat planar 3-webs with infinitesimal symmetries. Using multi-dimensional Schwarzian derivative we give a criterion for linearization of such webs and present a projective classification thereof. Using this classification we show that the Gronwall conjecture is true for 3-webs admitting infinitesimal symme…

2014-11-04abs ↗pdf ↗

Study spider evaluations and web group representations using algebraic topology.

problem Evaluate and represent the topology of web groups using algebraic methods.
method Analyze the fundamental groups of planar webs, associate irreducible components and graded subalgebras, and use Poincaré polynomials.
result Spider evaluations correspond to symmetrized Poincaré polynomials of associated graded subalgebras.