arXiv research

Improved root-finding method for smooth functions.

Formula for squeezing function on annuli disproves conjecture.

An interesting theme in complex differential geometry is to find a correspondence between algebraic objects and differential geometric objects. One of the most attractive is the non-abelian Hodge theory of Simpson. In this paper, pursuing an analogue of the non-abelian Hodge theory in the context of $q$-difference modu…

Most known examples of doubly periodic minimal surfaces in $\mathbb{R}^3$ with parallel ends limit as a foliation of $\mathbb{R}^3$ by horizontal noded planes, with the location of the nodes satisfying a set of balance equations. Conversely, for each set of points providing a balanced configuration, there is a correspo…

We study a doubly reflected backward stochastic differential equation (BSDE) with integrable parameters and the related Dynkin game. When the lower obstacle $L$ and the upper obstacle $U$ of the equation are completely separated, we construct a unique solution of the doubly reflected BSDE by pasting local solutions and…

New lower bound for doubly slice genus using knot signatures.

Corrects mismatch in consistency of nuisance estimators for doubly robust methods.

In this paper we establish a general inequality involving the Laplacian of the warping functions and the squared mean curvature of any doubly warped product isometrically immersed in a Riemannian manifold. Moreover, we obtain some geometric inequalities for C-totally real doubly warped product submanifolds of generaliz…

New algorithms learn graph structures privately, matching best results.

The paper develops methods for causal inference from single-cell RNA sequencing data with multiple outcomes.

Upper bounds on constants for Brownian motion with sticky boundary.

New method improves off-policy critic evaluation in reinforcement learning.

Many machine learning applications are based on data collected from people, such as their tastes and behaviour as well as biological traits and genetic data. Regardless of how important the application might be, one has to make sure individuals' identities or the privacy of the data are not compromised in the analysis.…

Optimally estimates a functional using nuisance function tuning and sample splitting.

A knot in the three-sphere is doubly slice if it is the cross-section of an unknotted two-sphere in the four-sphere. For low-crossing knots, the most complete work to date gives a classification of doubly slice knots through 9 crossings. We extend that work through 12 crossings, resolving all but four cases among the 2…

We propose an efficient method for estimating covariate effects in doubly-stochastic spatial models.

The present paper regards the volume function of a doubly truncated hyperbolic tetrahedron. Starting from the previous results of J. Murakami, U. Yano and A. Ushijima, we have developed a unified approach to express the volume in different geometric cases via dilogarithm functions and to treat properly the many analyti…

This paper investigates robust and efficient DR/RDR estimators for WATEs.

This work concerns the study of certain finite-energy solutions of the anti-self-dual Yang-Mills equations on Euclidean 4-dimensional space which are periodic in two directions, so-called doubly-periodic instantons. We establish a circle of ideas involving equivalent analytical and algebraic-geometric descriptions of t…

New method combines strengths of two PCL approaches without density ratio estimation.

The paper confirms a conjecture about manifolds with positive curvature.

Natural experiment dataset reveals inconsistent treatment effect estimators.

Extends robust methods for causal inference, improving estimator performance.

A new estimator for evaluating policies in unknown environments.

The paper examines Einstein doubly warped product manifolds with a semi-symmetric metric connection.

The stochastic gradient descent has been widely used for solving composite optimization problems in big data analyses. Many algorithms and convergence properties have been developed. The composite functions were convex primarily and gradually nonconvex composite functions have been adopted to obtain more desirable prop…

Characterizes spacetimes using doubly torqued vectors.

New invariant measures doubly slice links, disproving previous bounds.

Characterizes a specific type of spacetime using vector fields.

Optimal transport aims to estimate a transportation plan that minimizes a displacement cost. This is realized by optimizing the scalar product between the sought plan and the given cost, over the space of doubly stochastic matrices. When the entropy regularization is added to the problem, the transportation plan can be…

Characterizes and examines gradient solitons on doubly warped product manifolds.

The article enumerates doubly symmetric diagrams for knots up to 18 crossings.

Theory establishes optimal rates for estimating linear functionals without structural assumptions.

New estimators improve causal inference in machine learning studies.

Proposes DR-ACI for causal effect intervals with temporal dependence.

Simplified tutorial on doubly robust learning for causal inference.

Lipschitz mappings found between Riemann surfaces with specific properties.

We show that if the connected sum of two knots with coprime Alexander polynomials is doubly slice, then the Ozsváth-Szabó correction terms as smooth double sliceness obstructions vanish for both knots. Recently, Jeffrey Meier gave smoothly slice knots that are topologically doubly slice, but not smoothly doubly slice. …

In this article, we present a complete study of two disjoint classes of conformal vector fields on doubly warped product manifolds as well as on doubly warped space-times. Then we study Ricci solitons on doubly warped product manifollds admitting these types of conformal vector fields.

Accelerates Birkhoff projection for manifold-constrained hyper-connections with high accuracy and speed.

A. Gray presented an interesting $O\left( n\right)$ invariant decomposition of the covariant derivative of the Ricci tensor. Manifolds whose Ricci tensor satisfies the defining property of each orthogonal class are called Einstein-like manifolds. In the present paper, we answered the following question: Under what con…

This paper discusses properties of a Doubly Stochastic Poisson Process (DSPP) where the intensity process belongs to a class of affine diffusions. For any intensity process from this class we derive an analytical expression for probability distribution functions of the corresponding DSPP. A specification of our results…

Identifies doubly slice genera for 2909 prime knots with up to 12 crossings.

Improved estimators for causal inference using cross-fitting and undersmoothing.

FOCaL meta-learner estimates functional treatment effects robustly.

New methods estimate policy value and gradients for deterministic policies from off-policy data.

New method estimates causal effects in complex spaces using topological structures.

The paper shows some Montesinos links can't be doubly sliced strongly.