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.
Quantum annealing solves matrix factorization for large datasets.
D-Wave quantum annealing fails to improve sampling quality from RBMs compared to Gibbs sampling.
D-Wave quantum annealers represent a novel computational architecture and have attracted significant interest, but have been used for few real-world computations. Machine learning has been identified as an area where quantum annealing may be useful. Here, we show that the D-Wave 2X can be effectively used as part of an…
We discuss the invariant classification of vacuum Kundt waves using the Cartan-Karlhede algorithm, and the upper bound on the number of iterations of the Karlhede algorithm to classify the vacuum Kundt waves. By choosing a particular coordinate system we partially construct the canonical coframe used in the classificat…
Solitary waves are localized gravity waves that preserve their consistency and henceforth their visibility through properties of nonlinear hydrodynamics. Solitary waves have finite amplitude and spread with constant speed and constant shape. In this paper, we have used Lie group of transformation method to solve (3 + 1…
This article explores the concepts of ocean wave multivariate multistep forecasting, reconstruction and feature selection. We introduce recurrent neural network frameworks, integrated with Bayesian hyperparameter optimization and Elastic Net methods. We consider both short- and long-term forecasts and reconstruction, f…
We study inverse problems consisting on determining medium properties using the responses to probing waves from the machine learning point of view. Based on the understanding of propagation of waves and their nonlinear interactions, we construct a deep convolutional neural network in which the parameters are used to cl…
Graph algorithms are key tools in many fields of science and technology. Some of these algorithms depend on propagating information between distant nodes in a graph. Recently, there have been a number of deep learning architectures proposed to learn on undirected graphs. However, most of these architectures aggregate i…
Study uses reinforcement learning to optimize metachronal paddling at low Reynolds number.
Study symmetry groups and curves from sums of exponentials.
Study dispersive estimates for Schrödinger and wave equations on a cone with specific metric.
Develops support theorem for analytic transforms in tomography.
In the previous paper (arXiv:0804.0701), the authors gave criteria for A_{k+1}-type singularities on wave fronts. Using them, we show in this paper that there is a duality between singular points and inflection points on wave fronts in the projective space. As an application, we show that the algebraic sum of 2-inflect…
In this paper, we discuss the recognition problem for A_k-type singularities on wave fronts. We give computable and simple criteria of these singularities, which will play a fundamental role in generalizing the authors' previous work "the geometry of fronts" for surfaces. The crucial point to prove our criteria for A_k…
Study proves interaction of three impulsive gravitational waves, showing local solution and Lipschitz continuity.
New Galilean spacetimes found as pp-wave reductions.
Researchers reconstruct simple Riemannian manifolds from boundary wave arrival times.
Analyzes Gerstner's trochoidal waves and their geometric properties.
For quotients of the -dimensional hyperbolic space by a convex co-compact group , we obtain a formula relating the renormalized trace of the wave operator with the resonances of the Laplacian and some conformal invariants of the boundary, generalizing a formula of Guillopé and Zworski in dimension 2. By writing…
Wave fronts on certain surfaces become dense.
Study explores D-Wave QA for RBM training, finds modest benefits but no significant improvements.
Analyzes properties of stiffness tensors for elastic wave imaging.
We propose a regression algorithm that utilizes a learned dictionary optimized for sparse inference on a D-Wave quantum annealer. In this regression algorithm, we concatenate the independent and dependent variables as a combined vector, and encode the high-order correlations between them into a dictionary optimized for…
Deep learning model predicts wind-wave relationship.
Impulsive waves contradict a 1962 conjecture about pp-waves.
Extends Penrose limit to Finsler spacetimes.
New findings on plane waves in 3D spacetimes, showing non-unimodular elliptic plane waves are unique.
Classifies solutions to vacuum weighted Einstein equations on pr-waves.
High frequency limit for most of wave phenomena is known as quasiclassical limit or ray optics limit. Propagation of waves in this limit is described in terms of wave fronts and rays. Wave front is a surface of constant phase whose points are moving along rays. As it appears, their motion can be described by Hamilton e…
Study compact plane waves, showing they are essentially standard.
New method finds precise late-time behavior of wave equations.
We characterize singularities of focal surfaces of wave fronts in terms of differential geometric properties of the initial wave fronts. Moreover, we study relationships between geometric properties of focal surfaces and geometric invariants of the initial wave fronts.
Paper explores non-uniqueness and uniqueness class for wave equations on graphs.
The financial rogue waves are reported analytically in the nonlinear option pricing model due to Ivancevic, which is nonlinear wave alternative of the Black-Scholes model. These solutions may be used to describe the possible physical mechanisms for rogue wave phenomenon in financial markets and related fields.
Unified cosmological and Einstein polytope theories.
New metrics link Kähler and pp-wave spacetimes.
Given a compact boundaryless Riemannian manifold on which a compact Lie group acts, there is always a metric on such that the action is by isometries. Assuming is equipped with such a metric, recall that the -invariant Laplacian is the restriction of the ordinary Laplacian to the space of functions w…
We show that every n-dimensional locally homogeneous pp-wave is a plane wave, provided it is indecomposable and its curvature operator, when acting on -forms, has rank greater than one. As a consequence we obtain that indecomposable, Ricci-flat locally homogeneous pp-waves are plane waves. This generalises a classic…
The paper shows how null hypersurfaces behave in Lorentz-Minkowski space.
Global existence and boundedness proved for quasilinear wave equations on Kerr black holes.
New metrics constructed dual to specific wave-like geometries.
Study pp-waves with lightlike parallel spinors in vacuum spacetimes.
Develops methods to construct harmonic and wave maps into variable-curvature surfaces.
Unique solutions found for wave-like decaying null infinity equations.
The main objective of the present paper is to investigate the curvature properties of generalized pp-wave metric. It is shown that generalized pp-wave spacetime is Ricci generalized pseudosymmetric, 2-quasi-Einstein and generalized quasi-Einstein in the sense of Chaki. As a special case it is shown that pp-wave spaceti…
Measuring wave sources uniquely identifies manifold properties.
We explore the plane-wave limit of homogeneous spacetimes. For plane-wave limits along homogeneous geodesics the limit is known to be homogeneous and we exhibit the limiting metric in terms of Lie algebraic data. This simplifies many calculations and we illustrate this with several examples. We also investigate the beh…
Shorter proof for wave front length in Euclidean disk