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We find a worldsheet realization of generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. The two-dimensional model we construct is a supersymmetric relative of…

高能物理 - 理论 · 物理学 2009-11-10 Ulf Lindstrom , Ruben Minasian , Alessandro Tomasiello , Maxim Zabzine

We introduce a generalization of representations of quivers that contains also representations of posets, vectorspace problems and other matrix problems. Many examples, some of which are given in the paper, show that the language of marked…

表示论 · 数学 2007-05-23 A. V. Roiter

Generalized planning aims at computing an algorithm-like structure (generalized plan) that solves a set of multiple planning instances. In this paper we define negative examples for generalized planning as planning instances that must not…

人工智能 · 计算机科学 2019-11-22 Javier Segovia-Aguas , Sergio Jiménez , Anders Jonsson

The lack of generalizability -- in which a model trained on one dataset cannot provide accurate results for a different dataset -- is a known problem in the field of document layout analysis. Thus, when a model is used to locate important…

数字图书馆 · 计算机科学 2023-01-27 Jill P. Naiman

In this paper we present a new concept called generalized neutrosophic soft set. This concept incorporates the beneficial properties of both generalized neutrosophic set introduced by A.A. Salama [7]and soft set techniques proposed by…

人工智能 · 计算机科学 2013-05-14 Said Broumi

We tackle the problem of attributed graph transformations and propose a new algorithmic approach for defining parallel graph transformations allowing overlaps. We start by introducing some abstract operations over graph structures. Then, we…

计算机科学中的逻辑 · 计算机科学 2018-08-10 Thierry Boy de la Tour , Rachid Echahed

In this paper we propose to study generalization of neural networks on small algorithmically generated datasets. In this setting, questions about data efficiency, memorization, generalization, and speed of learning can be studied in great…

机器学习 · 计算机科学 2022-01-07 Alethea Power , Yuri Burda , Harri Edwards , Igor Babuschkin , Vedant Misra

In this study, we give definition of some multivalued hybrid mappings which are general than many mappings in the existing literature, then we give some existence and convergence results for these mappings in CAT({\kappa})-spaces

泛函分析 · 数学 2016-07-21 Emirhan Hacığlu , Vatan Karakaya

In this paper some generalized mappings due to L.B. Ciric over a generalized metric space have been studied with illustrative examples. Some theorems with necessary and sufficient conditions have been proved for such mappings on that space.

泛函分析 · 数学 2018-06-19 Kushal Roy , Mantu Saha

After an elementary presentation of the relation between supersymmetric nonlinear sigma models and geometry, I focus on 2D and the target space geometry allowed when there is an extra supersymmetry. This leads to a brief introduction to…

高能物理 - 理论 · 物理学 2007-05-23 Ulf Lindstrom

The aim of the paper is to start to develop the most general theory of localizations/inversion. Several new concepts are introduced and studied.

环与代数 · 数学 2023-12-29 Volodymyr Bavula

Image captioning has focused on generalizing to images drawn from the same distribution as the training set, and not to the more challenging problem of generalizing to different distributions of images. Recently, Nikolaus et al. (2019)…

计算与语言 · 计算机科学 2021-01-29 Emanuele Bugliarello , Desmond Elliott

In this paper, we introduce the concept of nearly convex set-valued mappings and investigate fundamental properties of these mappings. Additionally, we establish a geometric approach for generalized differentiation of nearly convex…

最优化与控制 · 数学 2023-02-20 Nguyen Mau Nam , Nguyen Nang Thieu , Nguyen Dong Yen

A central problem to understanding intelligence is the concept of generalisation. This allows previously learnt structure to be exploited to solve tasks in novel situations differing in their particularities. We take inspiration from…

In this paper, we define the notion of a mapping on soft classes and study several properties of images and inverse images of soft sets supported by examples and counterexamples. Finally, these notions have been applied to the problem of…

逻辑 · 数学 2010-06-28 Athar Kharal , B. Ahmad

We generalize the classical K\"onig's and B\"ottcher's Theorems in complex dynamics to certain quasiregular mappings in the plane. Our approach to these results is unified in the sense that it does not depend on the local injectivity, or…

复变函数 · 数学 2023-08-21 Alastair N. Fletcher , Jacob Pratscher

In ``Rips complexes and covers in the uniform category'' the authors define, following James, covering maps of uniform spaces and introduce the concept of generalized uniform covering maps. Conditions for the existence of universal uniform…

一般拓扑 · 数学 2014-04-01 Brendon LaBuz

Compositional generalization is one of the main properties which differentiates lexical learning in humans from state-of-art neural networks. We propose a general framework for building models that can generalize compositionally using the…

计算与语言 · 计算机科学 2024-02-05 Mircea Petrache , Shubhendu Trivedi

Neural networks can be powerful function approximators, which are able to model high-dimensional feature distributions from a subset of examples drawn from the target distribution. Naturally, they perform well at generalizing within the…

机器学习 · 计算机科学 2021-08-06 Aaron Eisermann , Jae Hee Lee , Cornelius Weber , Stefan Wermter

In this paper we will study $k$-commuting mappings of generalized matrix algebras. The general form of arbitrary $k$-commuting mapping of a generalized matrix algebra is determined. It is shown that under mild assumptions, every…

环与代数 · 数学 2020-03-17 Yanbo Li , Feng Wei , Ajda Fošner