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.
The paper characterizes compatible linear connections on 3D Finsler manifolds.
Extending Lévi-Civita's concept to non-quadratic spaces, this study finds extremal compatible linear connections.
Study star products on Poisson manifolds compatible with reduction.
We disprove the generalized Chern-Hamilton conjecture on the existence of critical compatible metrics on contact -manifolds. More precisely, we show that a contact -manifold admits a critical compatible metric for the Chern-Hamilton energy functional if and only if it is Sasakian or its associated Reeb fl…
New method improves compatibility of risk stratification models without sacrificing accuracy.
We present a simple way of generating the infinite set of Jacobi tensors, compatible with a given one, via the "gauge transformations" of the functions on Jacobi manifold. We consider also some applications of this result to the construction of bi-Hamiltonian systems on Jacobi manifolds.
The paper classifies cosymplectic manifolds with critical metrics in dimension 3.
Trust-region methods and natural gradients are equivalent in certain policy search scenarios.
This paper improves convergence bounds for AC and NAC algorithms with function approximation.
Discretizes diffusions and harmonic functions on covering spaces.
Study optimal reinsurance contracts to prevent moral hazard under non-concave premium principles.
Notions of compatible and almost compatible pseudo-Riemannian metrics, which are motivated by the theory of compatible (local and nonlocal) Poisson structures of hydrodynamic type and generalize the notion of flat pencil of metrics, are introduced and studied.
We establish an efficient compatibility criterion for a system of generalized complete intersection type in terms of certain multi-brackets of differential operators. These multi-brackets generalize the higher Jacobi-Mayer brackets, important in the study of evolutionary equations and the integrability problem. We also…
Discretizes diffusion processes on covering spaces.
The paper finds the extremal compatible linear connection on generalized Berwald manifolds.
Integrable hierarchies linked to F-manifolds with compatible connection.
Defines compatibility between Jacobi structures and pseudo-Riemannian metrics on Jacobi algebroids.
This paper proposes GProp, a deep reinforcement learning algorithm for continuous policies with compatible function approximation. The algorithm is based on two innovations. Firstly, we present a temporal-difference based method for learning the gradient of the value-function. Secondly, we present the deviator-actor-cr…
Compatible tensors form a special Jordan algebra.
The paper proposes reusable network components by making them compatible across tasks.
AI updates can disrupt human-AI teams; new objective improves compatibility.
Proves compatibility of light cones and projective structures.
Unified theory solves strain compatibility and elasticity of origami metamaterials.
The paper investigates compatible linear connections on Randers spaces and finds a unique extremal connection.
In an incomplete Brownian-motion market setting, we propose a convex monotonic pricing functional for nonattainable bounded contingent claims which is compatible with prices for attainable claims. The pricing functional is defined as the convex conjugate of a generalized entropy penalty functional and an interpretation…
The paper studies properties of group relations induced by compatible coarse structures.
New algorithm reduces bandit problem's regret bound to logarithmic in dimension.
Derdzinski and Shen's theorem on the restrictions posed by a Codazzi tensor on the Riemann tensor holds more generally when a Riemann-compatible tensor exists. Several properties are shown to remain valid in this broader setting. Riemann compatibility is equivalent to the Bianchi identity of the new "Codazzi deviation …
The causal compatibility question asks whether a given causal structure graph -- possibly involving latent variables -- constitutes a genuinely plausible causal explanation for a given probability distribution over the graph's observed variables. Algorithms predicated on merely necessary constraints for causal compatib…
Compatibility equations adapted to magnetic geometry.
Unified model for attention in NLP defined.
Bi-Hamiltonian structures are of great importance in the theory of integrable Hamiltonian systems. The notion of compatibility of symplectic structures is a key aspect of bi-Hamiltonian systems. Because of this, a few different notions of compatibility have been introduced. In this paper we show that, under some additi…
New methods reveal compatible liquid crystal phases in 3D.
For a closed smooth manifold admitting a symplectic structure, we define a smooth topological invariant using almost-Kähler metrics, i.e. Riemannian metrics compatible with symplectic structures. We also introduce depending on symplectic deformation equivalence class . We first prove tha…
New proof for unique semi-symmetric compatible linear connection on Finsler manifolds.
The construction of gauge theories beyond the realm of Lie groups and algebras leads one to consider Lie groupoids and algebroids equipped with additional geometrical structures which, for gauge invariance of the construction, need to satisfy particular compatibility conditions. This paper analyzes these compatibilitie…
The paper studies quadratic Poisson structures on Lie algebras, finding a 10-parametric family.
Some general properties of compatible Poisson brackets of hydrodynamic type are discussed, in particular: (1) an invariant differential-geometric criterion of the compatibility based on the Nijenhuis tensor; (2) the Lax pair with a spectral parameter governing compatible Poisson brackets in the diagonalizable case; (3)…
We show that well known structures on Lie algebroids can be viewed as Nijenhuis tensors or pairs of compatible tensors on Courant algebroids. We study compatibility and construct hierarchies of these structures.
This research builds foundations for D3-branes in string theory.
We show that the holonomy invariance of a function on the tangent bundle of a manifold, together with very mild regularity conditions on the function, is equivalent to the existence of local parallelisms compatible with the function in a natural way. Thus, in particular, we obtain a characterization of generalized Berw…
A-manifolds and A-bundles are manifolds and vector bundles modelled on a projective finitely generated module over a topological algebra A. In this paper we investigate the conditions under which an A-bundle is provided with an A-valued hermitian structure and a compatible connection, in case A is a commutative complet…
The study examines backward compatibility issues in ML systems, especially with noisy data.
We present an actor-critic framework for MDPs where the objective is the variance-adjusted expected return. Our critic uses linear function approximation, and we extend the concept of compatible features to the variance-adjusted setting. We present an episodic actor-critic algorithm and show that it converges almost su…
Generalized Lagrange-Weyl structures and compatible connections are introduced as a natural generalization of similar notions from Riemannian geometry. Exactly as in Riemannian case, the compatible connection is unique if certain symmetry conditions with respect to vertical and horizontal Christoffel symbols are impose…
Method solves Bayesian inverse problems in function space without assuming log-concavity.
We will introduce two notions of compatibility bettwen pseudo-Riemannian metric and Poisson structure using the notion of contravariant connection introduced by Fernandes R. L., we will study some proprities of manifold endowed with such compatible structures an we will give some examples.
The nonlinear equations for the general nonsingular pairs of compatible nonlocal Poisson brackets of hydrodynamic type are derived and the integrability of these equations by the method of inverse scattering problem is proved. For these equations, the Lax pairs with a spectral parameter are presented. Moreover, we demo…