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.
Study efficient policy value estimation with sublinear samples.
A collaborative algorithm reduces regret in federated linear contextual bandits.
New algorithm for learning causal structures with disjoint cycles in linear non-Gaussian models.
A natural generalization of interval exchange maps are linear involutions, first introduced by Danthony and Nogueira. Recurrent train tracks with a single switch which we call non-classical interval exchanges, form a subclass of linear involutions without flips. They are analogs of classical interval exchanges, and are…
We estimate from below the number of lines meeting each of given 4 disjoint smooth closed curves in a given cyclic order in the real projective 3-space and in a given linear order in the Euclidean 3-space. Similarly, we estimate the number of circles meeting in a given cyclic order given 6 disjoint smooth closed curves…
A new method for creating simpler models from complex ones.
We study the space of "link maps": the space of maps of a disjoint union of compact, closed manifolds P_1, . . ., P_k into a manifold N whose images are pairwise disjoint. We apply the manifold calculus of functors developed by Goodwillie and Weiss to study the difference between it and its linear and quadratic approxi…
Improved defense against data poisoning attacks by aggregating smaller subsets.
Study orbits of discrete lattice actions on the plane, derive new results for Veech surfaces.
New algorithm for identifying Condorcet team in noisy comparisons.
Localized sum-of-norms clustering separates balls in data.
A Heegaard splitting of a closed, orientable three-manifold satisfies the disjoint curve property if the splitting surface contains an essential simple closed curve and each handlebody contains an essential disk disjoint from this curve [Thompson, 1999]. A splitting is full if it does not have the disjoint curve proper…
Stochastic blockmodels and variants thereof are among the most widely used approaches to community detection for social networks and relational data. A stochastic blockmodel partitions the nodes of a network into disjoint sets, called communities. The approach is inherently related to clustering with mixture models; an…
Optimal sequential testing for Markovian data with lower and upper bounds.
Approximates cycles in planar and bounded-genus graphs.
We show that all finite-dimensional resolvable generalized manifolds with the piecewise disjoint arc-disk property are codimension one manifold factors. We then show how the piecewise disjoint arc-disk property and other general position properties that detect codimension one manifold factors are related. We also note …
We present a new property, the Disjoint Path Concordances Property, of an ENR homology manifold X which precisely characterizes when X times R has the Disjoint Disks Property. As a consequence, X times R is a manifold if and only if X is resolvable and it possesses this Disjoint Path Concordances Property.
A new classification method using disjoint centroids and normalized distance.
New systemic risk models for banks choosing their group memberships.
Two triples of triangles having pairwise disjoint outlines in 3-space are called combinatorially isotopic if one triple can be obtained from the other by a continuous motion during which the outlines of the triangles remain pairwise disjoint. We conjecture that it can be algorithmically checked if an (ordered or unorde…
Uniform bounds found for Sierpinski carpet hyperbolic components.
In this paper we present short algebraic proofs of the Linear Conway--Gordon--Sachs and the Linear van Kampen--Flores theorems in the spirit of the Radon theorem on convex hulls. {\bf Theorem.} {\it Take any general position points in . If is odd, then there are two linked -simplices wi…
The paper introduces MU for NMF with -divergences and disjoint constraints.
We prove that the number s(n) of disjoint minimal graphs supported on domains in R^n is bounded by e(n+1)^2. In the two-dimensional case we show that s(2) is at most three (the conjectured number is two).
We note a simple algebraic proof of Frolkina's result that does not contain uncountably many pairwise disjoint copies of the Möbius band, and of a similar result in higher dimensions.
We show that many algebraic actions of higher-rank abelian groups on zero-dimensional groups are mutually disjoint. The proofs exploit differences in the entropy geometry arising from subdynamics and a form of Abramov--Rokhlin formula for half-space entropies.
New theorem on embedding Moebius bands in 3D space.
The study bounds the excess of disjoint nonorientable surfaces in a 4-manifold.
Satellite knots can be trivialized by a single band move.
New embeddings show answer to Baker-Laidacker question can be yes or no.
Paper studies solutions to a specific equation in conformal geometry with singular sets.
Embeddings of pairs of disjoint nonparallel primitive simple closed curves in the boundary of a genus two handlebody are classified. Briefly, two disjoint primitives either lie on opposite ends of a product , or they lie on opposite ends of a kind of "twisted" product $F \widetilde{\boldsymbol{…
In this paper we investigate general linear stochastic volatility models with correlated Brownian noises. In such models the asset price satisfies a linear SDE with coefficient of linearity being the volatility process. This class contains among others Black-Scholes model, a log-normal stochastic volatility model and H…
Unified derivation of high-dimensional linear models using stochastic gradient descent.
The following problem was proposed in 2010 by S. Lando. Let and be two unions of the same number of disjoint circles in a sphere. Do there always exist two spheres in 3-space such that their intersection is transversal and is a union of disjoint circles that is situated as in one sphere and as in the ot…
Given a complex Hilbert space H, we study the differential geometry of the manifold A of normal algebraic elements in Z=L(H), the algebra of bounded linear operators on H. We represent A as a disjoint union of subsets M of Z and, using the algebraic structure of Z, a torsionfree affine connection (that is inva…
Simple curves enclose two small disks if they're wide and bend moderately.
We study strip deformations of convex cocompact hyperbolic surfaces, defined by inserting hyperbolic strips along a collection of disjoint geodesic arcs properly embedded in the surface. We prove that any deformation of the surface that uniformly lengthens all closed geodesics can be realized as a strip deformation, in…
A new algorithm improves stochastic linear bandit performance using residual bootstrap.
SDP approach recovers communities in multilayer hypergraphs from aggregated similarity matrices.
Optimal algorithm for identifying best arm in stochastic linear bandits with fixed confidence.
MTL method uses unlabeled data with pseudo labels to improve classification with disjoint datasets.
Neural Bayes simplifies computing complex stats for unsupervised learning.
Classifies circle actions on 6D manifolds with 4 fixed points.
New algorithm reduces regret from sqrt(T) to polylog(T) in stochastic contextual linear bandits.
Lin-Lu-Yau introduced an interesting notion of Ricci curvature for graphs and obtained a complete characterization for all Ricci-flat graphs with girth at least five [1]. In this paper, we propose a concrete approach to construct an infinite family of distinct Ricci-flat graphs of girth four with edge-disjoint 4-cycles…
Paper solves stochastic contextual linear bandits using linear bandit algorithms.
Stochastic flows of Stratonovich stochastic differential equations on exotic spheres have been studied. The consequences of the choice of exotic differential structure on stochastic processes taking place on the topological space as state space of the processes have been investigated. More precisely, we hav…