arXiv research

A novel clustering method uses torque balance to group objects.

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.

Characterizes spacetimes using doubly torqued vectors.

Characterizes a specific type of spacetime using vector fields.

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…

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

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…

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…

Construct intrinsic Langevin dynamics for rigid inclusions on curved surfaces.

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

This paper explores the capability of deep neural networks to capture key characteristics of vehicle dynamics, and their ability to perform coupled longitudinal and lateral control of a vehicle. To this extent, two different artificial neural networks are trained to compute vehicle controls corresponding to a reference…

Paper provides closed-form time derivatives for rigid body systems.

This work proposes a new method for simultaneous probabilistic identification and control of an observable, fully-actuated mechanical system. Identification is achieved by conditioning stochastic process priors on observations of configurations and noisy estimates of configuration derivatives. In contrast to previous w…

A large body of animation research focuses on optimization of movement control, either as action sequences or policy parameters. However, as closed-form expressions of the objective functions are often not available, our understanding of the optimization problems is limited. Building on recent work on analyzing neural …

Characterizes Lorentzian manifolds with semi-symmetric metric connections.

Study of almost Yamabe solitons on Kaehler submersions.

The paper addresses optimal control on Riemannian manifolds, introducing biased splines for robotic systems.

Study on balanced Hermitian structures on Lie algebras twisted by representations.

We study the intrinsic geometrical structure of hypersurfaces in 6-manifolds carrying a balanced Hermitian SU(3)-structure, which we call {\em balanced} SU(2)-{\em structures}. We provide conditions which imply that such a 5-manifold can be isometrically embedded as a hypersurface in a manifold with a balanced SU(3)-st…

The study identifies assets with local balance deviating from global balance to mitigate financial risk.

Proposes $φ$-balancing for more balanced expert utilization in MoE models.

Estimates causal effects using neural networks for balancing covariates.

Blowing up flat metrics yields balanced ones with constant curvature.

We will consider locally conformally balanced manifolds. We prove that a locally conformally balanced condition is not stable under a small deformation. We prove that locally conformally balanced condition is stable under any proper modification. We prove that symmetric products of the Kodaira surface can be resolve to…

In this paper, the concept of balanced manifolds is generalized to reduced complex spaces: the class B and balanced spaces. Compared with the case of Kahlerian, the class B is similar to the Fujiki class C and the balanced space is similar to the Kahler space. Some properties about these complex spaces are obtained, an…

Study properties of balanced hyperbolic compact complex manifolds.

Study balanced Hermitian structures on almost abelian Lie algebras, classifying six-dimensional cases.

Study examines how balancing methods affect model behavior in imbalanced classification problems.

Determined the balanced cone of a specific geometric space.

The paper argues for using Neyman orthogonal score for balancing in debiased machine learning.

Paper proves Chow stability implies balanced embedding.

Study on balanced Hermitian threefolds with parallel Bismut torsion.

Finite presentation for a specific group in 3D handlebody topology.

Improves causal inference with observational data by balancing features and weights.

Paper proves non-existence of certain balanced metrics on six-manifolds.

Positive factorization found for a specific map on surfaces.

Study confirms asymptotic behavior of logarithmic balanced metric near infinity.

In this work we show that the systems of balance equations (balance systems) of continuum thermodynamics occupy a natural place in the variational bicomplex formalism. We apply the vertical homotopy decomposition to get a local splitting (in a convenient domain) of a general balance system as the sum of a Lagrangian pa…

This paper optimizes revenue and resource balance in network revenue management.

The paper finds conditions for smooth curves of balanced metrics in Hermitian non-Kähler settings.

Three elements generate balanced superelliptic mapping class groups.

In this work we apply the Poincare-Cartan formalism of the Classical Field Theory to study the systems of balance equations (balance systems). We introduce the partial k-jet bundles of the configurational bundle and study their basic properties: partial Cartan structure, prolongation of vector fields, etc. A constituti…

A geodesic net with 4 boundary vertices and 25 balanced vertices is constructed.

The balance property is crucial for insurance pricing, ensuring total actuarial price equals loss. Maximum likelihood GLMs fulfill it, but Lindholm-Wüthrich suggests three methods, with constrained GLM being superior.