Variational Methods for Normal Integration [PDF]
The need for an efficient method of integration of a dense normal field is inspired by several computer vision tasks, such as shape-from-shading, photometric stereo, deflectometry, etc. Inspired by edge-preserving methods from image processing, we study in this paper several variational approaches for normal integration, with a focus on non-rectangular
Jean-François Aujol+3 more
openaire +5 more sources
A field theoretic approach to master equations and a variational method beyond the Poisson ansatz
We develop a variational scheme in a field theoretic approach to a stochastic process. While various stochastic processes can be expressed using master equations, in general it is difficult to solve the master equations exactly, and it is also hard to ...
Dickman R+10 more
core +1 more source
Solution to the 3-Loop $\Phi$-Derivable Approximation for Massless Scalar Thermodynamics [PDF]
We develop a systematic method for solving the 3-loop $\Phi$-derivable approximation to the thermodynamics of the massless $\phi^4$ field theory. The method involves expanding sum-integrals in powers of $g^2$ and m/T, where g is the coupling constant, m ...
A. Peshier+31 more
core +2 more sources
Necessary conditions for variational regularization schemes
We study variational regularization methods in a general framework, more precisely those methods that use a discrepancy and a regularization functional.
Bakushinskii˘ A B+25 more
core +1 more source
The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada
We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
wiley +1 more source
Exact analytical solution of tempered fractional heat-like (diffusion) equations by the modified variational iteration method [PDF]
This paper introduces a modified version of the Variational Iteration Method, incorporating $\mathbb{P}$-transformation. We propose a novel semi-analytical technique named the modified variational iteration method for addressing fractional ...
Mohammad Hossein Akrami+2 more
doaj +1 more source
An Application of He's Variational Iteration Method for Solving Duffing - Van Der Pol Equation [PDF]
In this paper, we apply He's variational iteration method (VIM) and the Adomian decomposition method (ADM) to approximate the solution of Duffing-Van Der Pol equation (DVP).
Ann Al-Sawoor, Merna Samarchi
doaj +1 more source
Black Box Variational Inference [PDF]
Variational inference has become a widely used method to approximate posteriors in complex latent variables models. However, deriving a variational inference algorithm generally requires significant model-specific analysis, and these efforts can hinder ...
Blei, David M.+2 more
core +2 more sources
Network topology drives population temporal variability in experimental habitat networks
Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu+3 more
wiley +1 more source
Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems
A variational homotopy perturbation method (VHPM) which is based on variational iteration method and homotopy perturbation method is applied to solve the approximate solution of the fractional initial boundary value problems.
Yanqin Liu
doaj +1 more source