arXiv research

Characterizes spacetimes using doubly torqued vectors.

Characterizes a specific type of spacetime using vector fields.

The paper proves non-existence of torqued and anti-torqued vector fields on hyperbolic spaces.

The paper defines and classifies special curves in Riemannian manifolds.

Study rectifying submanifolds with anti-torqued axis in Riemannian manifolds.

A novel clustering method uses torque balance to group objects.

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.

In classical surface theory there are but few known examples of surfaces admitting nontrivial isometric deformations and fewer still non-simply-connected ones. We consider the isometric deformability question for an immersion x: M \to R^3 of an oriented non-simply-connected surface with constant mean curvature H. We pr…

The paper classifies hypersurfaces in Riemannian manifolds with constant inner product and torse-forming axes.

We give explicit formulæ for Noether invariants associated to Killing vector fields for the variational problem of minimal and constant mean curvature surfaces in 3-manifolds. In the case of homogeneous spaces, such invariants are the flux (associated to translations) and the torque (associated to rotations). Then we f…

Data-efficient reinforcement learning (RL) in continuous state-action spaces using very high-dimensional observations remains a key challenge in developing fully autonomous systems. We consider a particularly important instance of this challenge, the pixels-to-torques problem, where an RL agent learns a closed-loop con…

The study of dexterous manipulation has provided important insights in humans sensorimotor control as well as inspiration for manipulation strategies in robotic hands. Previous work focused on experimental environment with restrictions. Here we describe a method using the deformation and color distribution of the finge…

Data-efficient learning in continuous state-action spaces using very high-dimensional observations remains a key challenge in developing fully autonomous systems. In this paper, we consider one instance of this challenge, the pixels to torques problem, where an agent must learn a closed-loop control policy from pixel i…

Characterizes Lorentzian manifolds with semi-symmetric metric connections.

ANN with GA optimizes flexible disc design for lower mass and stress.

A new method for sparse regression models using graph structure.

We solve matrix denoising with both row and column correlations, setting limits and designing optimal methods.

Study spherical doubly warped spacetimes for stellar collapse and cosmology.

New algorithm minimizes regret in sparse reinforcement learning.

Study of almost Yamabe solitons on Kaehler submersions.

π-GNN learns soft permutations for graph representations, improving graph classification and regression.

New test for conditional independence using GNNs avoids estimating conditional distributions.

We study $k$-GenEV, the problem of finding the top $k$ generalized eigenvectors, and $k$-CCA, the problem of finding the top $k$ vectors in canonical-correlation analysis. We propose algorithms $\mathtt{LazyEV}$ and $\mathtt{LazyCCA}$ to solve the two problems with running times linearly dependent on the input size and…

Rigidity results for hypersurfaces in warped spacetimes.

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

New invariant measures doubly slice links, disproving previous bounds.

New bounds on self-normalized martingales improve online linear regression performance.

Characterizes and examines gradient solitons on doubly warped product manifolds.

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

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

Simplified tutorial on doubly robust learning for causal inference.

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. …

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

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

We define an obstruction for a knot to be Z[Z]-homology ribbon, and use this to provide restrictions on the integers that can occur as the triple linking numbers of derivative links of knots that are either homotopy ribbon or doubly slice. Our main application finds new non-doubly slice knots. In particular this gives …

Hamiltonian cycles found in toroidal maps.

New lower bound for doubly slice genus using knot signatures.

In this paper we study fundamental geometric properties of doubly warped product immersion which is an extension of warped product immersion. Moreover, we study geometric inequality for doubly warped products isometrically immersed in arbitrary Riemannian manifolds.

Paper defines new risk measures for elliptical distributions.

Construct intrinsic Langevin dynamics for rigid inclusions on curved surfaces.

Some basic geometric properties of doubly twisted product immersions are established.

We give a formula for Alexander polynomials of doubly primitive knots.

We construct an infinite family of smoothly slice knots that we prove are topologically doubly slice. Using the correction terms coming from Heegaard Floer homology, we show that none of these knots is smoothly doubly slice. We use these knots to show that the subgroup of the double concordance group consisting of smoo…

The twisting number of a ribbon knot is at least as large as its doubly slice genus.

In this paper, we introduce horizontal and vertical warped product Finsler manifold. We prove that every C-reducible or proper Berwaldian doubly warped product Finsler manifold is Riemannian. Then, we find the relation between Riemmanian curvatures of doubly warped product Finsler manifold and its components, and consi…

New methods combine machine learning with doubly robust estimators for better treatment effect estimation.

We study the asymptotic behaviour of doubly periodic instantons with square-integrable curvature. Then, we establish the equivalence given by the Nahm transform between the doubly periodic instantons with square integrable curvature and the wild harmonic bundles on the dual torus.

New method glues Scherk surfaces into minimal surfaces, limiting possible outcomes.