1,064 research outputs found

    Advances and Applications of DSmT for Information Fusion. Collected Works, Volume 5

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    This fifth volume on Advances and Applications of DSmT for Information Fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics, and is available in open-access. The collected contributions of this volume have either been published or presented after disseminating the fourth volume in 2015 in international conferences, seminars, workshops and journals, or they are new. The contributions of each part of this volume are chronologically ordered. First Part of this book presents some theoretical advances on DSmT, dealing mainly with modified Proportional Conflict Redistribution Rules (PCR) of combination with degree of intersection, coarsening techniques, interval calculus for PCR thanks to set inversion via interval analysis (SIVIA), rough set classifiers, canonical decomposition of dichotomous belief functions, fast PCR fusion, fast inter-criteria analysis with PCR, and improved PCR5 and PCR6 rules preserving the (quasi-)neutrality of (quasi-)vacuous belief assignment in the fusion of sources of evidence with their Matlab codes. Because more applications of DSmT have emerged in the past years since the apparition of the fourth book of DSmT in 2015, the second part of this volume is about selected applications of DSmT mainly in building change detection, object recognition, quality of data association in tracking, perception in robotics, risk assessment for torrent protection and multi-criteria decision-making, multi-modal image fusion, coarsening techniques, recommender system, levee characterization and assessment, human heading perception, trust assessment, robotics, biometrics, failure detection, GPS systems, inter-criteria analysis, group decision, human activity recognition, storm prediction, data association for autonomous vehicles, identification of maritime vessels, fusion of support vector machines (SVM), Silx-Furtif RUST code library for information fusion including PCR rules, and network for ship classification. Finally, the third part presents interesting contributions related to belief functions in general published or presented along the years since 2015. These contributions are related with decision-making under uncertainty, belief approximations, probability transformations, new distances between belief functions, non-classical multi-criteria decision-making problems with belief functions, generalization of Bayes theorem, image processing, data association, entropy and cross-entropy measures, fuzzy evidence numbers, negator of belief mass, human activity recognition, information fusion for breast cancer therapy, imbalanced data classification, and hybrid techniques mixing deep learning with belief functions as well

    Excess decay for minimizing hypercurrents mod 2Q2Q

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    We consider codimension 11 area-minimizing mm-dimensional currents TT mod an even integer p=2Qp=2Q in a C2C^2 Riemannian submanifold Σ\Sigma of the Euclidean space. We prove a suitable excess-decay estimate towards the unique tangent cone at every point qspt(T)sptp(T)q\in \mathrm{spt} (T)\setminus \mathrm{spt}^p (\partial T) where at least one such tangent cone is QQ copies of a single plane. While an analogous decay statement was proved in arXiv:2111.11202 as a corollary of a more general theory for stable varifolds, in our statement we strive for the optimal dependence of the estimates upon the second fundamental form of Σ\Sigma. This technical improvement is in fact needed in arXiv:2201.10204 to prove that the singular set of TT can be decomposed into a C1,αC^{1,\alpha} (m1)(m-1)-dimensional submanifold and an additional closed remaining set of Hausdorff dimension at most m2m-2.Comment: 74 pages, 1 figure. Comments are welcome

    Chatbots for Modelling, Modelling of Chatbots

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    Tesis Doctoral inédita leída en la Universidad Autónoma de Madrid, Escuela Politécnica Superior, Departamento de Ingeniería Informática. Fecha de Lectura: 28-03-202

    Meromorphic Projective Structures, Opers and Monodromy

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    The complex projective structures considered is this article are compact curves locally modeled on CP1\mathbb{CP}^1. To such a geometric object, modulo marked isomorphism, the monodromy map associates an algebraic one: a representation of its fundamental group into PGL(2,C)\operatorname{PGL}(2,\mathbb{C}), modulo conjugacy. This correspondence is neither surjective nor injective. Nonetheless, it is a local diffeomorphism [Hejhal, 1975]. We generalize this theorem to projective structures admitting poles (without apparent singularity and with fixed residues): the corresponding monodromy map (including Stokes data) is a local biholomorphism.Comment: 57 pages, 9 figure

    A Non-Ideal Epistemology of Disagreement: Pragmatism and the Need for Democratic Inquiry

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    The aim of this thesis is to provide a non-ideal epistemic account of disagreement, one which explains how epistemic agents can find a rational resolution to disagreement in actual epistemic practice. To do this, this thesis will compare two non-ideal epistemic accounts of disagreement which have been proposed within the contemporary philosophical literature. The first is the evidentialist response to disagreement given within the recent literature on the analytic epistemology of disagreement. According to the evidentialist response to disagreement, an epistemic agent can rationally respond to disagreement by evaluating other epistemic agents as higher-order evidence, and adjusting one's belief accordingly. The second is the pragmatist response to disagreement given within the recent literature on the intersection between American pragmatism and democratic theory. According to the pragmatist response to disagreement, a collective group of epistemic agents can come to a rational resolution of disagreement through a process of social inquiry where epistemic agents cooperatively exchange ideas, reasons, and objections, and collectively form plans of action which settle collective belief. This thesis will critically examine both of these accounts, and explain how the pragmatist response to disagreement provides a better account of both the epistemic challenges which disagreement poses, and the method in which epistemic agent can come to rationally resolve disagreement in actual epistemic practice

    Current issues of the Russian language teaching XIV

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    Collection of papers “Current issues of the Russian language teaching XIV” is devoted to issues of methodology of teaching Russian as a foreign language, to issues of linguistics and literary science and includes papers related to the use of online tools and resources in teaching Russian. This collection of papers is a result of the international scientific conference “Current issues of the Russian language teaching XIV”, which was scheduled for 8–10 May 2020, but due to the pandemic COVID-19 took place remotely

    Certifiably employable?: The effects of occupational regulation on unemployment duration

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    Occupational regulation is a labor market institution that has received a growing amount of attention by researchers. Existing research has explored the effects of occupational regulation on wages and employment. To the best of our knowledge, no existing study has estimated the effect of occupational credentials on unemployment duration in the US. We derive a random search model to explain differences in individual unemployment duration resulting from heterogeneous effects from licenses and certificates. Our model predicts that an occupational credential with a stronger signaling or human capital effect results in a shorter individual unemployment duration. To estimate the effect of occupational credentials, we use data from the Survey of Income and Program Participation (SIPP) for 2013-2019. We find that individual unemployment duration decreases on average by 3 to 9 days if an individual has a license. In contrast, certificates issued by businesses reduce individual unemployment duration by 24 to 27 days. Our results suggest that certificates issued by businesses contain stronger signals and human capital improvements than government issued licenses

    Computation and Physics in Algebraic Geometry

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    Physics provides new, tantalizing problems that we solve by developing and implementing innovative and effective geometric tools in nonlinear algebra. The techniques we employ also rely on numerical and symbolic computations performed with computer algebra. First, we study solutions to the Kadomtsev-Petviashvili equation that arise from singular curves. The Kadomtsev-Petviashvili equation is a partial differential equation describing nonlinear wave motion whose solutions can be built from an algebraic curve. Such a surprising connection established by Krichever and Shiota also led to an entirely new point of view on a classical problem in algebraic geometry known as the Schottky problem. To explore the connection with curves with at worst nodal singularities, we define the Hirota variety, which parameterizes KP solutions arising from such curves. Studying the geometry of the Hirota variety provides a new approach to the Schottky problem. We investigate it for irreducible rational nodal curves, giving a partial solution to the weak Schottky problem in this case. Second, we formulate questions from scattering amplitudes in a broader context using very affine varieties and D-module theory. The interplay between geometry and combinatorics in particle physics indeed suggests an underlying, coherent mathematical structure behind the study of particle interactions. In this thesis, we gain a better understanding of mathematical objects, such as moduli spaces of point configurations and generalized Euler integrals, for which particle physics provides concrete, non-trivial examples, and we prove some conjectures stated in the physics literature. Finally, we study linear spaces of symmetric matrices, addressing questions motivated by algebraic statistics, optimization, and enumerative geometry. This includes giving explicit formulas for the maximum likelihood degree and studying tangency problems for quadric surfaces in projective space from the point of view of real algebraic geometry

    A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type

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    Nonlocal models allow for the description of phenomena which cannot be captured by classical partial differential equations. The availability of efficient solvers is one of the main concerns for the use of nonlocal models in real world engineering applications. We present a domain decomposition solver that is inspired by substructuring methods for classical local equations. In numerical experiments involving finite element discretizations of scalar and vectorial nonlocal equations of integrable and fractional type, we observe improvements in solution time of up to 14.6x compared to commonly used solver strategies
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