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.
Stein's method improves probabilistic inference and learning.
GC Stein manifolds characterized with embeddings and functions.
Stochastic Stein Discrepancies improve inference efficiency.
We give a bordism-theoretic characterisation of those closed almost contact (2q+1)-manifolds (with q > 2) which admit a Stein fillable contact structure. Our method is to apply Eliashberg's h-principle for Stein manifolds in the setting of Kreck's modified surgery. As an application, we show that any simply connected a…
Improved sampling method using regularized Stein Variational Gradient Flow.
Develops Stein's method for Riemannian manifolds using diffusion.
It is shown that every subcritical Stein manifold is deformation equivalent to the product of a Stein manifold with $\C$.
Regularized Stein thinning improves MCMC output approximations.
Study Stein and Milnor fillings of links from surface singularities.
Stein's method (Stein, 1973; 1981) is a powerful tool for statistical applications and has significantly impacted machine learning. Stein's lemma plays an essential role in Stein's method. Previous applications of Stein's lemma either required strong technical assumptions or were limited to Gaussian distributions with …
Stein transport improves Bayesian inference with faster convergence and reduced variance.
In this paper we survey results on the existence of holomorphic embeddings and immersions of Stein manifolds into complex manifolds. Most results pertain to proper maps into Stein manifolds. We include a new result saying that every continuous map between Stein manifolds is homotopic to a proper holomorphic em…
Counterexample found for Stein property of certain solvable Lie groups.
A new framework improves kernel Stein discrepancy tests for validating distributions.
Stein variational gradient descent (SVGD) is a deterministic sampling algorithm that iteratively transports a set of particles to approximate given distributions, based on an efficient gradient-based update that guarantees to optimally decrease the KL divergence within a function space. This paper develops the first th…
2-stein submanifolds in space forms have constant curvature if normal connection is flat or codimension is 2.
We show that, under a certain condition, contact 5-manifolds can `coarsely' distinguish smooth structures on compact Stein 4-manifolds via contact open books. We also give a simple sufficient condition for an infinite family of Stein 4-manifolds to have an infinite subfamily of pairwise non-diffeomorphic Stein 4-manifo…
We give an algorithm which produces infinitely many pairwise exotic Stein fillings of the same contact 3-manifolds, applying positive allowable Lefschetz fibrations over the disk. As a corollary, for a large class of Stein fillings, we realize the topological invariants (i.e. fundamental group, homology group, homology…
Sliced kernelized Stein discrepancy improves goodness-of-fit tests and model learning in high dimensions.
For any integer , we construct an infinite family of Stein fillable contact -manifolds each of which admits infinitely many pairwise homotopy inequivalent Stein fillings.
The square root of Fredholm determinants causes numerical instabilities in option pricing models.
Study Stein fillings of planar contact 3-manifolds with relative trisection genus 2.
Study continuity and Hölder estimates for solutions on Stein spaces.
Improving scalability and stability of Stein discrepancies for scalable goodness-of-fit testing
Much of machine learning relies on comparing distributions with discrepancy measures. Stein's method creates discrepancy measures between two distributions that require only the unnormalized density of one and samples from the other. Stein discrepancies can be combined with kernels to define kernelized Stein discrepanc…
Paper proves existence of compatible Lefschetz fibrations on 6-ball and Stein domains.
New Stein operator improves robustness in model inference.
Characterizes Stein surfaces with finite homotopy rank-sum.
A new method reduces complexity and uncertainty in neural networks.
We characterize the closed, oriented, Seifert fibered 3-manifolds which are oriented boundaries of Stein manifolds. We also show that for this class of 3-manifolds the existence of Stein fillings is equivalent to the existence of symplectic fillings.
We continue our study of contact structures on manifolds of dimension at least five using complex surgery theory. We show that in each dimension 2q+1 > 3 there are 'maximal' almost contact manifolds to which there is a Stein cobordism from any other (2q+1)-dimensional contact manifold. We show that the product M x S^2 …
A unified summary is given of the existence theory of Stein manifolds in all dimensions, based on published and pending literature. Eliashberg's characterization of manifolds admitting Stein structures requires an extra delicate hypothesis in complex dimension 2, which can be eliminated by passing to the topological se…
For a 4-manifold represented by a framed knot in , it has been well known that the 4-manifold admits a Stein structure if the framing is less than the maximal Thurston-Bennequin number of the knot. In this paper, we prove either the converse of this fact is false or there exists a compact contractible oriented smo…
Study shows patterns in Stein fillability of trefoil surgeries.
New Legendrian knots found with equivalent Stein traces.
A new test assesses how well observed networks fit a specified ERGM model.
Study on Hölder continuity of complex Monge-Ampère solutions on Stein spaces.
We construct a family of Stein fillable contact homology 3-spheres such that each contact structure of the family is supported by an open book with planar page, and a Stein filling of the contact manifold is of Mazur type.
New open books defy positive factorisation in genus one.
It is known that the only Stein filling of the standard contact structure on S^3 is B^4. In this paper, we construct simply connected exotic compact Stein 4-manifold pairs for any Betti number ; we do this by enlarging corks and plugs.
The existence of a positive allowable Lefschetz fibration on a compact Stein surface with boundary was established by Loi and Piergallini by using branched covering techniques. Here we give an alternative simple proof of this fact and construct explicitly the vanishing cycles of the Lefschetz fibration, obtaining a dir…
We show that there exist infinitely many simply connected compact Stein 4-manifolds with b_2=2 such that they are all homeomorhic but mutually non-diffeomorphic, and they are Stein fillings of the same contact 3-manifold on their boundaries. We also describe their handlebody pictures.
Stein importance sampling is a widely applicable technique based on kernelized Stein discrepancy, which corrects the output of approximate sampling algorithms by reweighting the empirical distribution of the samples. A general analysis of this technique is conducted for the previously unconsidered setting where samples…
Paper analyzes SVGD algorithm for non-asymptotic convergence.
Stein shrinkage improves BN robustness against adversarial attacks.
A new method de-randomizes MCMC dynamics using the Stein operator.
New Stein fillings found for rational surface singularities.
We use contact handle decompositions and a stabilization process to compute the cylindrical contact homology of a subcritical Stein-fillable contact manifold with vanishing first Chern class, and show that it is completely determined by the homology of a subcritical Stein-filling of the contact manifold.