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.
Survey of de Casteljau's algorithm's applications in geometric data analysis.
New algorithm for C2-splines on curved spaces.
Study compares survival analysis algorithms with missing data methods.
This paper presents practical methods for portfolio selection in investments.
The primitive cohomology of Calabi-Yau intersections is described using a twisted de Rham complex.
DE-QT detects optimal Q-learning stopping points.
Algorithm finds smooth primitives for exact forms.
DE-PSGLD samples from constrained distributions in a decentralized manner.
Book provides detailed trading strategies for various asset classes.
This paper uses bandit theory and Thompson Sampling to optimize protein sequences.
A new method for calibrating American options is tested and found to be reliable in some scenarios but not in others.
Algorithm computes eigenvalues and eigenforms on Calabi-Yau threefolds.
Paper establishes lower bounds and optimal algorithms for deployment-efficient RL.
Paper proposes a new model and methods for robustly de-interleaving HMP mixtures.
Dans les années 1940-1970, Alexandrov et l'"École de Leningrad" ont développé une théorie très riche des surfaces singulières. Il s'agit de surfaces topologiques, munie d'une métrique intrinsèque pour laquelle on peut définir une notion de courbure, qui est une mesure de Radon. Cette classe de surfaces a de bonnes prop…
This paper introduces derivative-free optimization methods for deep learning model training.
We show that contact homology distinguishes infinitely many tight contact structures on any orientable, toroidal, irreducible 3-manifold. As a consequence of the contact homology computations, on a very large class of toroidal manifolds, all known examples of universally tight contact structures with nonvanishing torsi…
On décrit ici des relations entre la géométrie globale des variétés de contact closes et celle de certaines variétés symplectiques, à savoir les variétés de Stein compactes. L'origine de ces relations est l'existence de livres ouverts adaptés aux structures de contact. We discuss relations between the global geometry o…
Recursive KalmanNet generalizes well in noisy, out-of-distribution scenarios.
We build examples of properly convex projective manifold which have finite volume, are not compact, nor hyperbolic in every dimension . On the way, we build Zariski-dense discrete subgroups of $\SL_{n+1}(\R)$ which are not lattice, nor Schottky groups. Moreover, the open properly convex set is…
Deep learning classifies galaxies from Dark Energy Survey in just 8 minutes.
Pulling back the weight system associated with the spinor representation of the Lie algebra so(7) by the universal Vassiliev-Kontsevich invariant yields a numerical link invariant with values in formal power series. Computing some skein relations satisfied by this invariant, I derive a recursive algorithm for its evalu…
Community detection in graphs has been the subject of many algorithms. Recent methods want to optimize a modularity function which shows a maximum of relationships within communities and found a minimum of inter-community relations. these algorithms are applied to unipartite, multipartite and directed graphs. However, …
X-TFC solves parametric DEs with neural networks and physics constraints.
We show that some curvature operators are locally invertible, in some weithted sobolev spaces, near the euclidian metric. (Nous montrons que certains opérateurs affines en la courbure de Ricci sont localement inversibles, dans des espaces de Sobolev à poids, au voisinage de la métrique euclidienne.)
On every compact, orientable, irreducible 3-manifold V which is toroidal or has torus boundary components we construct a contact 1-form whose Reeb vector field R does not have any contractible periodic orbits and is tangent to the boundary. Moreover, if bdry V is nonempty, then the Reeb vector field R is transverse to …
Two de Rham complexes in diffeology are compared using a factor map.
Nous montrons que les équations du repère mobile des surfaces de Bonnet conduisent à une paire de Lax matricielle isomonodromique d'ordre deux pour la sixième équation de Painlevé. We show that the moving frame equations of Bonnet surfaces can be extrapolated to a second order, isomonodromic matrix Lax pair of the sixt…
Study geodesics on Kerr-Newman instantons with de Sitter or anti-de Sitter asymptotics.
The so-called risk diversification principle is analyzed, showing that its convenience depends on individual characteristics of the risks involved and the dependence relationship among them. ----- Se analiza el principio de diversificación de riesgos y se demuestra que no siempre resulta mejor que no diversificar, pues…
CF-GPS learns policies from logged data by considering counterfactual outcomes.
This article was withdrawn by the author to be incorporated into the paper "Extensão de aplicações na esfera de um espaço vetorial com produto interno" (arXiv:1109.2866).
Smooth approximations of causal functions derived from Lyapunov.
En nous basant sur les résultats d'Arthur annoncés dans \cite[§30]{Arthur} nous démontrons les conjectures énoncées dans \cite{IMRN,BC,SMF} dans le cas des groupes orthogonaux à l'exclusion des groupes de type . En ce qui concerne ces derniers, nous annonçons la démonstration -- encore en préparation - que …
We categorify the coefficients of the Burau representation matrix using elementary geometrical methods. We show the faithfulness of this categorification in the sense that it detects the trivial braid.
Formulas derived for operators on forms in anti-de Sitter spaces.
Enhances DES by removing noise and defining regions more accurately.
Proximal algorithms applied to current deformation into cycles.
The theory of Vassiliev invariants deals with many modules of diagrams on which the algebra Lambda defined by Pierre Vogel acts. By specifying a quadratic simple Lie superalgebra, one obtains a character on Lambda. We show the coherence of these characters by building a map of graded algebras beetwen Lambda and a quoti…
Study of de Rham cohomology on non-Hausdorff manifolds.
Classification of specific pseudo-Riemannian manifolds.
The paper explores de Rham theory for singular spaces and stacks.
De Sitter spacetime can be separated into two parts along two kinds of hypersurfaces and the half-de Sitter spacetimes are covered by the planar and hyperbolic coordinates respectively. Two positive energy theorems were proved previously for certain -asymptotically de Sitter and $\H$-asymptotically de Sitter initial…
Nous considérons un espace topologique qui est localement isomorphe au quotient de R^k par l'action d'un groupe discret et nous l'appelons quasi-variété de dimension k. Les quasi-variétés généralisent les variétés et les V-variétés et représentent le cadre naturel pour la réduction symplectique par rapport à l'action i…
Proves optimal isoperimetric inequality in de Sitter space.
Study examines solutions to Jang equation on anti-de Sitter spacetimes.
New Lipschitz de Rham theorem for -cohomology.
It is shown that if the Holmes-Thompson volume definition is used, totally geodesic submanifolds of a Finsler space are minimal. The analogous result for the Hausdorff measure is known to be false. ----- Nous montrons que les sous-varietes totalement geodesiques d'une variete de Finsler sont minimales pour le volume de…