Results 91 to 100 of about 327,393 (318)
On the Mathematics of Diffusion Models
CoRR, 2023 This paper gives direct derivations of the differential equations and likelihood formulas of diffusion models assuming only knowledge of Gaussian distributions. A VAE analysis derives both forward and backward stochastic differential equations (SDEs) as well as non-variational integral expressions for likelihood formulas.
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Induced random β-transformation [PDF]
, 2017 In this article we study the first return map defined on the switch region induced by the greedy and lazy maps. In particular we study the allowable sequences of return times, and when the first return map is a generalised L¨uroth series transformation ...
Mathematical Modeling +6 more
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The winner takes it all:how semelparous insects can become periodical [PDF]
, 2020 The aim of this short note is to give a simple explanation for the remarkable periodicity of Magicicada species, which appear as adults only every 13 or 17 years, depending on the region.
Mathematical Modeling +5 more
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Deep Learning Pose Estimation for Phenotyping of Co‐Occurring Hyperkinetic Movement Disorders
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore whether routine outpatient video combined with deep learning‐based pose estimation and clinically interpretable kinematic features can support multi‐label phenotyping of co‐occurring hyperkinetic movement disorders (HMDs).
Laura Cif +17 more
wiley +1 more source
Қарағанды университетінің хабаршысы. Математика сериясыIn the paper, the Gagliardo–Nirenberg type inequalities for smoothness spaces Bpqsτ(Tn) of Nikol’skii–Besov type and spaces Fpqsτ(Tn) of Lizorkin–Triebel type both related to Morrey spaces over n-dimensional torus for some range of the parameters s, p ...
Sh.A. Balgimbayeva, A.K. Janabilova
doaj +1 more source
Expansions and Dimensions [PDF]
, 2016 In this thesis, we consider the Hausdorff dimension of the set of points with multiple codings. In order to find the dimension of this set, we find some new ideas to address this problem. These ideas are from fractal geometry and dynamical systems.
Mathematical Modeling +2 more
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A homotopy perturbation method for fractional-order advection-diffusion-reaction boundary-value problems [PDF]
, 2017 In this paper we describe the application of the homotopy perturbation method (HPM) to two-point boundary-value problems with fractional-order derivatives of Caputo-type.
I. Ateş +5 more
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Arthritis Care &Research, EarlyView.Over the past 50 years, the science of pediatric rheumatology has grown exponentially due to an expansion in the understanding of complex rheumatic conditions and a surge in novel targeted therapeutics. Physician‐scientists in the field of pediatric rheumatology have played major roles in these advancements that have improved the care of children ...
Ekemini A. Ogbu +2 more
wiley +1 more source
A Mathematical Modelling for Workflows [PDF]
Journal of Mathematics, 2019 A mathematical heuristic model was proposed to analyze the flow of information in administrative workflows. The model starts from a conceptual analysis from the perspective of probabilistic systems, information theory, and information entropy. The main parameters of the analysis are to identify theoretically a workflow as a hybrid dynamic system where ...
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Homotopy-based methods for fractional differential equations [PDF]
, 2017 The intention of this thesis is two-fold. The first aim is to describe and apply, series-based, numerical methods to fractional differential equation models.
Mathematical Modeling +2 more
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