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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.

168,695 papers · 148 categories

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491317 · Oct 201919922001200920172026
48 results for super league

The study uses unsupervised machine learning to identify top European football teams.

problem Selecting teams for the new European football Super League.
method Used Laplacian eigenmaps clustering on performance data.
result Successfully identified four clusters of teams based on performance metrics.

RL controls small soccer robots in a real league, beating human-designed policies.

problem Training robots to play complex, real-world sports.
method Sim-to-Real RL approach, training in simulated environment, applying to real-world robots.
result Robots learned policies to compete effectively, beating human-designed strategies.

GPU speeds up Monte Carlo simulations for large time steps.

problem Slow convergence and inaccurate solutions with large time steps in Monte Carlo simulations.
method Generalizes the Seven League scheme for GPU acceleration.
result Significantly improved computational speed.

This paper optimizes sports betting strategies using neural networks and portfolio theory.

problem Optimizing betting strategies in sports gambling.
method Combining neural network models with portfolio optimization, integrating Von Neumann-Morgenstern Expected Utility Theory and the Kelly Criterion.
result Achieved 135.8% relative profit during the English Premier League season.

The availability of massive data about sports activities offers nowadays the opportunity to quantify the relation between performance and success. In this study, we analyze more than 6,000 games and 10 million events in six European leagues and investigate this relation in soccer competitions. We discover that a team's…

2017-05-02abs ↗pdf ↗

Twitter has been proven to be a notable source for predictive modelling on various domains such as the stock market, the dissemination of diseases or sports outcomes. However, such a study has not been conducted in football (soccer) so far. The purpose of this research was to study whether data mined from Twitter can b…

2014-11-05abs ↗pdf ↗

Study super cluster algebras from super Plücker and Ptolemy relations.

problem Developing super cluster algebra structure in super Grassmannians.
method Analyzing super Plücker and Ptolemy relations, developing super cluster structure.
result New simple form of super Plücker relations for $\Gr_{r|1}(n|1)$.

The paper defines and analyzes curvature tensors on super twisted product spaces.

problem Investigating curvature tensors on super twisted product spaces.
method Defined W2W_2-curvature tensor, computed curvature tensors and Ricci tensors, and studied curvature flatness.
result Mixed Ricci-flat super twisted product semi-Riemannian manifolds can be expressed as super warped product manifolds.

With the usual definition of a super Hilbert space and a super unitary representation, it is easy to show that there are lots of super Lie groups for which the left-regular representation is not super unitary. I will argue that weakening the definition of a super Hilbert space (by allowing the super scalar product to b…

2017-11-01abs ↗pdf ↗

We establish a higher generalization of super L-infinity-algebraic T-duality of super WZW-terms for super p-branes. In particular, we demonstrate spherical T-duality of super M5-branes propagating on exceptional-geometric 11d super spacetime.

2018-03-15abs ↗pdf ↗

Researchers create holographic super-embeddings for M5 and M2 branes.

problem No concrete examples of super-embeddings for M5 and M2 branes existed.
method Constructed explicit holographic super-embeddings of probe M5 and M2 branes into their super-AdS backgrounds.
result Explicit holographic super-embeddings of M5 and M2 branes were successfully constructed.

Develops Riemannian geometry for noncommutative super surfaces.

problem No specific problem stated; focuses on mathematical development.
method Introduces metric and connections on noncommutative super surfaces, showing compatibility and zero torsion under certain conditions.
result Noncommutative super surfaces have a well-defined Riemannian geometry with properties analogous to classical Riemannian geometry.

Defines super stable maps and proves quotient superorbifolds for genus zero.

problem Defines stable supercurves and super stable maps of genus zero.
method Uses labeled trees and slice theorem for super Lie groups.
result Proves moduli space of stable supercurves and super stable maps are quotient superorbifolds.

Defines semi-symmetric metric connection on super warped products.

problem Computing curvature and Ricci tensors on super warped products.
method Introduced semi-symmetric metric connection and conditions for Einstein spaces.
result Conditions for super warped product spaces to be Einstein with semi-symmetric metric connection.

Riemann surfaces are two-dimensional manifolds with a conformal class of metrics. It is well known that the harmonic action functional and harmonic maps are tools to study the moduli space of Riemann surfaces. Super Riemann surfaces are an analogue of Riemann surfaces in the world of super geometry. After a short intro…

2015-11-16abs ↗pdf ↗

The underlying even manifold of a super Riemann surface is a Riemann surface with a spinor valued differential form called gravitino. Consequently infinitesimal deformations of super Riemann surfaces are certain infinitesimal deformations of the Riemann surface and the gravitino. Furthermore the action functional of no…

2014-12-16abs ↗pdf ↗

The paper studies special warped products with a specific connection on super Riemannian manifolds.

problem Investigating curvature and Ricci tensors on super warped product spaces with a semi-symmetric non-metric connection.
method Defined a semi-symmetric non-metric connection, computed curvature and Ricci tensors, and introduced and analyzed two types of super warped product spaces.
result Conditions for two super warped product spaces with a semi-symmetric non-metric connection to be Einstein spaces are provided.

We derive the canonical forms of super Riemannian metrics and the local isometry groups of such metrics. For certain super metrics we also compute the simply connected covering groups of the local isometry groups and interpret these as local spin groups of the super metric. Using a generalization of a Theorem of Rogers…

2016-02-15abs ↗pdf ↗

A super Lie group is a group whose operations are GG^{\infty} mappings in the sense of Rogers. Thus the underlying supermanifold possesses an atlas whose transition functions are GG^{\infty} functions. Moreover the images of our charts are open subsets of a graded infinite-dimensional Banach space since our space of …

2006-10-24abs ↗pdf ↗

Let MM be a super Riemann surface with holomorphic distribution D\mathcal{D} and NN a symplectic manifold with compatible almost complex structure JJ. We call a map Φ ⁣:MNΦ\colon M\to N a super JJ-holomorphic curve if its differential maps the almost complex structure on D\mathcal{D} to JJ. Such a super JJ-holomorp…

2019-11-13abs ↗pdf ↗

The paper develops a theory of CC^\infty-superrings and their superschemes.

problem Developing a theory for CC^\infty-superrings and superschemes.
method Proving an equivalence between categories of fair affine CC^\infty-superschemes and fair CC^\infty-superrings.
result A key equivalence between fair affine CC^\infty-superschemes and fair CC^\infty-superrings.

We study the relationship between social media output and National Football League (NFL) games, using a dataset containing messages from Twitter and NFL game statistics. Specifically, we consider tweets pertaining to specific teams and games in the NFL season and use them alongside statistical game data to build predic…

2013-10-25abs ↗pdf ↗

We propose an original model for inferring team strengths using a Markov Random Field, which can be used to generate historical estimates of the offensive and defensive strengths of a team over time. This model was designed to be applied to sports such as soccer or hockey, in which contest outcomes take value in a limi…

2013-05-09abs ↗pdf ↗

This article provides a brief discussion of the functional of super Riemann surfaces from the point of view of classical (i.e. not "super-) differential geometry. The discussion is based on symmetry considerations and aims to clarify the "borderline" between classical and super differential geometry with respect to the…

2015-11-16abs ↗pdf ↗

Matrix formulas for super Teichmüller spaces generalize previous work and yield super λ-lengths.

problem Calculating super λ-lengths on bordered surfaces with marked points.
method Using holonomy matrices of elements in the supergroup OSp(1|2) to compute super λ-lengths in decorated super Teichmüller spaces.
result Matrix formulas for arcs on bordered surfaces yield super λ-lengths in Penner-Zeitlin's decorated super Teichmüller space.

Extends Wigner's representation to study super hyperbolic geometry.

problem Understanding geometry in super hyperbolic three-space.
method Extended Wigner's representation of the Lorentz group to OSp_C(1|2) and applied to Minkowski (3,1|4)-dimensional super space.
result Proof of divergence of the volume of a typical ideal tetrahedron in super hyperbolic three-space.

Extends differential geometry concepts to manifolds with super tangent bundles.

problem No specific problem stated; extending differential geometry to super tangent bundles.
method Introduces super tangent bundle and extends differential geometry concepts.
result Basic notions of differential geometry extended to manifolds with super tangent bundles.

Paper constructs super integrable systems on color Lie algebra.

problem Super integrable systems on color Lie algebra.
method Using non-isospectral problems with matrices from color Lie algebra sp1(6)\mathfrak{sp}_{1}(6), constructing (1+1)- and (2+1)-dimensional systems.
result Super integrable systems and their Hamiltonian structures constructed on color Lie algebra sp1(6)\mathfrak{sp}_{1}(6).

Note on instabilities in super-time-stepping methods for Heston model.

problem Instabilities in super-time-stepping methods applied to Heston model.
method Exploration of explicit super-time-stepping schemes (RK-Chebyshev, RK-Legendre) for Heston model.
result Relevance of stability remarks beyond super-time-stepping schemes.

We define a super analog of the classical Plücker embedding of the Grassmannian into a projective space. One of the difficulties of the problem is rooted in the fact that super exterior powers Λrs(V)Λ^{r|s}(V) are not a simple generalization from the completely even case (this works only for r0r|0 when it is possible to us…

2019-06-28abs ↗pdf ↗

The hidden M-algebra is integrated into a super-Lie group, allowing for compactification of extra dimensions.

problem Integrating the hidden M-algebra into a super-Lie group to model super-exceptional spacetimes.
method Left-invariant extension of the decomposed M-theory 3-form, providing a computer-checked re-derivation and streamlined conception of super-Lie groups.
result Lattice subgroups of the hidden M-group allow toroidal compactification of hidden dimensions, akin to topological T-duality.