Journal ArticleDOI
Algorithm 799: revolve: an implementation of checkpointing for the reverse or adjoint mode of computational differentiation
Andreas Griewank,Andrea Walther +1 more
Reads0
Chats0
TLDR
This article presents the function revolve, which generates checkpointing schedules that are provably optimal with regard to a primary and a secondary criterion and is intended to be used as an explicit “controller” for running a time-dependent applications program.Abstract:
In its basic form, the reverse mode of computational differentiation yields the gradient of a scalar-valued function at a cost that is a small multiple of the computational work needed to evaluate the function itself. However, the corresponding memory requirement is proportional to the run-time of the evaluation program. Therefore, the practical applicability of the reverse mode in its original formulation is limited despite the availability of ever larger memory systems. This observation leads to the development of checkpointing schedules to reduce the storage requirements. This article presents the function revolve, which generates checkpointing schedules that are provably optimal with regard to a primary and a secondary criterion. This routine is intended to be used as an explicit “controller” for running a time-dependent applications program.read more
Citations
More filters
Journal ArticleDOI
A comparative study of the performance of high resolution advection schemes in the context of data assimilation
TL;DR: In this paper, the impact of various slope limiters and piecewise parabolic method (PPM) on data assimilation was studied using the nonlinear viscous Burgers equation in 1−D.
Journal ArticleDOI
Closing the performance gap between an iterative frequency-domain solver and an explicit time-domain scheme for 3D migration on parallel architectures
TL;DR: The parallel implementation of the 3D migration in frequency domain is compared to a time-domain implementation and the throughput of the latter is optimized with dynamic load balancing, asynchronous I/O, and compression of snapshots.
Patent
Using projection onto convex sets to constrain full-wavefield inversion
TL;DR: In this paper, a Projection Onto Convex Sets (POCS) operator is defined that converts the matrix corresponding to the model to a positive semi-definite matrix.
Book ChapterDOI
Optimal checkpointing for time-stepping procedures in ADOL-C
Andreas Kowarz,Andrea Walther +1 more
TL;DR: This work integrates a checkpointing mechanism into ADOL-C, a tool for the automatic differentiation of C and C++ programs, and finds that this checkpointing procedure is optimal for a given number of checkpoints in the sense that it yields the minimal number of recomputations.
Journal ArticleDOI
A Black-Box Fork-Join Latency Prediction Model for Data-Intensive Applications
TL;DR: A black-box Fork-Join model is proposed that covers a wide range of Fork- join structures for the prediction of tail and mean latency, called ForkTail and ForkMean, respectively, and can be used as a powerful tool to aid the design of tail-and-mean-latency guaranteed job scheduling and resource provisioning, especially at high load, for datacenter applications.
References
More filters
Book
Numerical methods for conservation laws
TL;DR: In this paper, the authors describe the derivation of conservation laws and apply them to linear systems, including the linear advection equation, the Euler equation, and the Riemann problem.
Book
Optimal Control of Systems Governed by Partial Differential Equations
TL;DR: In this paper, the authors consider the problem of minimizing the sum of a differentiable and non-differentiable function in the context of a system governed by a Dirichlet problem.
Book
Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation
Andreas Griewank,Andrea Walther +1 more
TL;DR: This second edition has been updated and expanded to cover recent developments in applications and theory, including an elegant NP completeness argument by Uwe Naumann and a brief introduction to scarcity, a generalization of sparsity.
Journal ArticleDOI
Upwind difference schemes for hyperbolic systems of conservation laws
Stanley Osher,Fred Solomon +1 more
TL;DR: In this article, a new upwind finite difference approximation to systems of nonlinear hyperbolic conservation laws has been derived. But the scheme has desirable properties for shock calculations, such as unique and sharp shocks.
Journal ArticleDOI
Achieving logarithmic growth of temporal and spatial complexity in reverse automatic differentiation
TL;DR: It is shown here that, by a recursive scheme related to the multilevel differentiation approach of Volin and Ostrovskii, the growth in both temporal and spatial complexity can be limited to a fixed multiple of log(T).
Related Papers (5)
Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation
Andreas Griewank,Andrea Walther +1 more
Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation, Second Edition
Andreas Griewank,Andrea Walther +1 more