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Increasingly large data sets are being ingested and produced by simulations. What experience from large-scale simulation is transferable to big data applications? Conversely, what new optimal algorith...
We give an algorithm that computes the final state of certain growth models without computing all intermediate states. Our technique is based on a “least action principle” which characterizes the odom...
Flexible Multi-scale Image Alignment Using B-Spline Reparametrization -Theoretical Analysis
Flexible alignment L2-gradient flow Bi-cubic B-spline Existence and uniqueness System of ordinary differential equations
2012/8/10
In the first part of this companion volumes, we present a new flexible alignment model and
an iterative algorithm based on an L2-gradient flow. In this second part of the companion
volumes, we focus...
Flexible Multi-scale Alignment Using B-Spline Reparameterization-Computational Methods
Flexible Alignment L2-gradient flow Bi-cubic B-spline Finite elementmethod Multi-resolution representation
2012/8/10
In this first part of the companion volumes, we present a new flexible alignment method
to align two or more similar images, especially biological images. By minimizing an energy
functional measurin...
The Global Convergence of Self-scale BFGS Algorithm with Nonmonotone Line Search for Unconstrained Nonconvex Optimization Problems
nonmonotone line search self-scaling BFGS method global convergence
2007/12/11
The self-scaling quasi-Newton method solves an unconstrained optimization problem by scaling the Hessian approximation matrix before it is updated at each iteration to avoid the possible large eigenva...