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This paper presents Vision-Language Global Localization (VLG-Loc), a novel global localization method that uses human-readable labeled footprint maps containing only names and areas of distinctive visual landmarks in an environment. While…

Robotics · Computer Science 2025-12-19 Mizuho Aoki , Kohei Honda , Yasuhiro Yoshimura , Takeshi Ishita , Ryo Yonetani

Some fixed point results are given for a class of Meir-Keeler contractive maps acting on metric spaces endowed with locally transitive relations. Technical connections with the related statements due to Berzig et al [Abstr. Appl. Anal.,…

General Topology · Mathematics 2013-12-06 Mihai Turinici

We propose a localization formula for the chiral de Rham complex generalizing the well-known localization procedure in topological theories. Our formula takes into account the contribution due to the massive modes. The key to achieve this…

High Energy Physics - Theory · Physics 2007-05-23 Pietro Antonio Grassi , Giuseppe Policastro , Emanuel Scheidegger

Global localization in 3D point clouds is a challenging problem of estimating the pose of vehicles without any prior knowledge. In this paper, a solution to this problem is presented by achieving place recognition and metric pose estimation…

Robotics · Computer Science 2022-11-29 Huan Yin , Li Tang , Xiaqing Ding , Yue Wang , Rong Xiong

We construct a proper moduli space which is a Deligne-Mumford stack parametrising quasimaps relative to a simple normal crossings divisor in any genus using logarithmic geometry. We show this moduli space admits a virtual fundamental class…

Algebraic Geometry · Mathematics 2024-01-15 Qaasim Shafi

A quantum-mechanical Hamiltonian with a gravitational potential is derived in the framework of local times. This Hamiltonian is the one used by E. H. Lieb (Bull. Amer. Math. Soc. 22(1990), 1-49) in his explanation of stability and…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Hitoshi Kitada

By using the infinitesimally marking point to break the loop in the localization calculation as Kim and Lho, and Zinger's explicit formulas for double $J$-functions, we obtain a formula for genus one stable quasimaps invariants when the…

Algebraic Geometry · Mathematics 2017-06-30 Mu-Lin Li

This paper discusses a large-scale and long-term mapping and localization scenario using the maplab open-source framework. We present a brief overview of the specific algorithms in the system that enable building a consistent map from…

Robotics · Computer Science 2018-05-29 Marcin Dymczyk , Marius Fehr , Thomas Schneider , Roland Siegwart

We propose a method for the stabilisation of quantum computations (including quantum state storage). The method is based on the operation of projection into $\cal SYM$, the symmetric subspace of the full state space of $R$ redundant copies…

The physical concept of locality is first analyzed in the special relativistic quantum regime, and compared with that of microcausality and the local commutativity of quantum fields. Its extrapolation to quantum general relativity on…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eduard Prugovecki

In this paper we study local stability estimates for a magnetic Schr\"odinger operator with partial data on an open bounded set in dimension $n\geq 3$. This is the corresponding stability estimates for the identifiability result obtained by…

Analysis of PDEs · Mathematics 2017-09-13 Leyter Potenciano-Machado

We consider virtual pullbacks in $K$-theory, and show that they are bivariant classes and satisfy certain functoriality. As applications to $K$-theoretic counting invariants, we include proofs of a virtual localization formula for schemes…

Algebraic Geometry · Mathematics 2017-09-20 F. Qu

We extend the concept of Anderson localization, the confinement of quantum information in a spatially irregular potential, to quantum circuits. Considering matchgate circuits, generated by time-dependent spin-1/2 XY Hamiltonians, we give an…

Quantum Physics · Physics 2018-07-18 Adrian Chapman , Akimasa Miyake

Multistable processes are tangent at each point to a stable process, but where the index of stability and the index of localisability varies along the path. In this work, we give two estimators of the stability and the localisability…

Probability · Mathematics 2012-09-12 Ronan Le Guével

A very simple and efficient local variational iteration method for solving problems of nonlinear science is proposed in this paper. The analytical iteration formula of this method is derived first using a general form of first order…

Numerical Analysis · Computer Science 2019-04-26 Xuechuan Wang , Qiuyi Xu , Satya N. Atluri

It is suggested to map the qubits into solid state NMR spin system collective states instead of the states of the individual spin. Such an approach introduces the stable computational basis without any additional actions and allows to…

Quantum Physics · Physics 2007-05-23 Alexander R. Kessel , Vladimir L. Ermakov

In this Letter we make progress on a longstanding open problem of Aaronson and Ambainis [Theory of Computing 1, 47 (2005)]: we show that if A is the adjacency matrix of a sufficiently sparse low-dimensional graph then the unitary operator…

Quantum Physics · Physics 2008-10-06 Tobias J. Osborne

Quantum localization of classical mechanics within the BRST-BFV and BV (or field-antifield) quantization methods are studied. It is shown that a special choice of gauge fixing functions (or BRST-BFV charge) together with the unitary limit…

High Energy Physics - Theory · Physics 2016-07-11 Igor A. Batalin , Peter M. Lavrov

We construct a moduli space of stable maps with fields associated to a triple $(X,E,s)$ of a projective variety (or a DM stack with projective moduli space) a vector bundle and a section. We show the class coincides up to a sign with the…

Algebraic Geometry · Mathematics 2021-09-20 Renata Picciotto

This paper is a continuation of our earlier development of a theory of tame Artin stacks. Our main goal here is the construction of an appropriate analogue of Kontsevich's space of stable maps in the case where the target is a tame Artin…

Algebraic Geometry · Mathematics 2010-03-31 Dan Abramovich , Martin Olsson , Angelo Vistoli