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Automatic differentiation is a technique which allows a programmer to define a numerical computation via compositions of a broad range of numeric and computational primitives and have the underlying system support the computation of partial…

Mathematical Software · Computer Science 2017-06-02 Samer Abdallah

Speculative decoding has proven to be an efficient solution to large language model (LLM) inference, where the small drafter predicts future tokens at a low cost, and the target model is leveraged to verify them in parallel. However, most…

Computation and Language · Computer Science 2024-10-10 Zilin Xiao , Hongming Zhang , Tao Ge , Siru Ouyang , Vicente Ordonez , Dong Yu

Each training step for a variational autoencoder (VAE) requires us to sample from the approximate posterior, so we usually choose simple (e.g. factorised) approximate posteriors in which sampling is an efficient computation that fully…

Machine Learning · Statistics 2018-05-29 Laurence Aitchison , Vincent Adam , Srinivas C. Turaga

The last improvements in programming languages, programming models, and frameworks have focused on abstracting the users from many programming issues. Among others, recent programming frameworks include simpler syntax, automatic memory…

Programming Languages · Computer Science 2018-10-29 Cristian Ramon-Cortes , Ramon Amela , Jorge Ejarque , Philippe Clauss , Rosa M. Badia

The rapidly increasing number of cores available in multicore processors does not necessarily lead directly to a commensurate increase in performance: programs written in conventional languages, such as C, need careful restructuring,…

Programming Languages · Computer Science 2015-01-28 Esraa Alwan , John Fitch , Julian Padget

Gradients of probabilistic model likelihoods with respect to their parameters are essential for modern computational statistics and machine learning. These calculations are readily available for arbitrary models via automatic…

Populations and Evolution · Quantitative Biology 2023-06-06 Mathieu Fourment , Christiaan J. Swanepoel , Jared G. Galloway , Xiang Ji , Karthik Gangavarapu , Marc A. Suchard , Frederick A. Matsen

A computational fluid dynamics code is differentiated using algorithmic differentiation (AD) in both tangent and adjoint modes. The two novelties of the present approach are 1) the adjoint code is obtained by letting the AD tool Tapenade…

Computational Physics · Physics 2020-07-10 J. I. Cardesa , L. Hascoët , C. Airiau

The successes of deep learning, variational inference, and many other fields have been aided by specialized implementations of reverse-mode automatic differentiation (AD) to compute gradients of mega-dimensional objectives. The AD…

Machine Learning · Computer Science 2021-03-16 Deniz Oktay , Nick McGreivy , Joshua Aduol , Alex Beatson , Ryan P. Adams

We present Matrix Distributed Processing, a C++ library for fast development of efficient parallel algorithms. MDP is based on MPI and consists of a collection of C++ classes and functions such as lattice, site and field. Once an algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Massimo Di Pierro

We compare automatically and manually parallelized NAS Benchmarks in order to identify code sections that differ. We discuss opportunities for advancing automatic parallelizers. We find ten patterns that pose challenges for current…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-02 Parinaz Barakhshan , Rudolf Eigenmann

Traditional source separation approaches train deep neural network models end-to-end with all the data available at once by minimizing the empirical risk on the whole training set. On the inference side, after training the model, the user…

We propose Parallelised Diffeomorphic Sampling-based Motion Planning (PDMP). PDMP is a novel parallelised framework that uses bijective and differentiable mappings, or diffeomorphisms, to transform sampling distributions of sampling-based…

Robotics · Computer Science 2021-09-24 Tin Lai , Weiming Zhi , Tucker Hermans , Fabio Ramos

GPU-based HPC clusters are attracting more scientific application developers due to their extensive parallelism and energy efficiency. In order to achieve portability among a variety of multi/many core architectures, a popular choice for an…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-10 Ali TehraniJamsaz , Alok Mishra , Akash Dutta , Abid M. Malik , Barbara Chapman , Ali Jannesari

We propose a parallel adaptive constraint-tightening approach to solve a linear model predictive control problem for discrete-time systems, based on inexact numerical optimization algorithms and operator splitting methods. The underlying…

Optimization and Control · Mathematics 2015-03-24 Laura Ferranti , Tamas Keviczky

We present the new software OpDiLib, a universal add-on for classical operator overloading AD tools that enables the automatic differentiation (AD) of OpenMP parallelized code. With it, we establish support for OpenMP features in a reverse…

Mathematical Software · Computer Science 2022-12-09 Johannes Blühdorn , Max Sagebaum , Nicolas R. Gauger

The electrical and electronic engineering has used parallel programming to solve its large scale complex problems for performance reasons. However, as parallel programming requires a non-trivial distribution of tasks and data, developers…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-05 Antonio Wendell De Oliveira Rodrigues , Frédéric Guyomarc'H , Jean-Luc Dekeyser , Yvonnick Le Menach

In this paper, we present our vision of differentiable ML pipelines called DiffML to automate the construction of ML pipelines in an end-to-end fashion. The idea is that DiffML allows to jointly train not just the ML model itself but also…

Databases · Computer Science 2022-07-06 Benjamin Hilprecht , Christian Hammacher , Eduardo Reis , Mohamed Abdelaal , Carsten Binnig

Derivatives of computer graphics, image processing, and deep learning algorithms have tremendous use in guiding parameter space searches, or solving inverse problems. As the algorithms become more sophisticated, we no longer only need to…

Graphics · Computer Science 2019-08-30 Tzu-Mao Li

In this paper we introduce DiffSharp, an automatic differentiation (AD) library designed with machine learning in mind. AD is a family of techniques that evaluate derivatives at machine precision with only a small constant factor of…

Mathematical Software · Computer Science 2015-11-30 Atilim Gunes Baydin , Barak A. Pearlmutter , Jeffrey Mark Siskind

Where dual-numbers forward-mode automatic differentiation (AD) pairs each scalar value with its tangent value, dual-numbers reverse-mode AD attempts to achieve reverse AD using a similarly simple idea: by pairing each scalar value with a…

Programming Languages · Computer Science 2025-03-04 Tom Smeding , Matthijs Vákár