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Automatic differentiation (AD) is a set of techniques that systematically applies the chain rule to compute the gradients of functions without requiring human intervention. Although the fundamentals of this technology were established…

机器学习 · 计算机科学 2025-09-03 Afif Boudaoud , Alexandru Calotoiu , Marcin Copik , Torsten Hoefler

Training Artificial Neural Networks poses a challenging and critical problem in machine learning. Despite the effectiveness of gradient-based learning methods, such as Stochastic Gradient Descent (SGD), in training neural networks, they do…

Coordinate descent (CD) algorithms have become the method of choice for solving a number of optimization problems in machine learning. They are particularly popular for training linear models, including linear support vector machine…

机器学习 · 统计学 2014-01-16 Tobias Glasmachers , Ürün Dogan

Derivatives, mostly in the form of gradients and Hessians, are ubiquitous in machine learning. Automatic differentiation (AD), also called algorithmic differentiation or simply "autodiff", is a family of techniques similar to but more…

Zeroth-Order (ZO) optimization is pivotal for scenarios where backpropagation is unavailable, such as memory-constrained on-device learning and black-box optimization. However, existing methods face a stark trade-off: they are either…

机器学习 · 计算机科学 2026-05-29 Chen Liang , Xiatao Sun , Qian Wang , Daniel Rakita

Automatic differentiation (AD) is an ensemble of techniques that allow to evaluate accurate numerical derivatives of a mathematical function expressed in a computer programming language. In this paper we use AD for stating and solving solid…

数值分析 · 数学 2020-01-22 Andrea Vigliotti , Ferdinando Auricchio

Derivative computation is a key component of optimization, sensitivity analysis, uncertainty quantification, and nonlinear solvers. Automatic differentiation (AD) is a powerful technique for evaluating such derivatives, and in recent years,…

数学软件 · 计算机科学 2025-07-18 Kim Liegeois , Brian Kelley , Eric Phipps , Sivasankaran Rajamanickam , Vassil Vassilev

It has been reported that the communication cost for synchronizing gradients can be a bottleneck, which limits the scalability of distributed deep learning. Using low-precision gradients is a promising technique for reducing the bandwidth…

分布式、并行与集群计算 · 计算机科学 2021-05-18 Ruobing Han , James Demmel , Yang You

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…

机器学习 · 计算机科学 2021-03-16 Deniz Oktay , Nick McGreivy , Joshua Aduol , Alex Beatson , Ryan P. Adams

In mathematics and computer algebra, automatic differentiation (AD) is a set of techniques to evaluate the derivative of a function specified by a computer program. AD exploits the fact that every computer program, no matter how…

数学软件 · 计算机科学 2021-02-03 Vassil Vassilev , Aleksandr Efremov , Oksana Shadura

A resistive memory device-based computing architecture is one of the promising platforms for energy-efficient Deep Neural Network (DNN) training accelerators. The key technical challenge in realizing such accelerators is to accumulate the…

新兴技术 · 计算机科学 2019-08-05 Hyungjun Kim , Malte Rasch , Tayfun Gokmen , Takashi Ando , Hiroyuki Miyazoe , Jae-Joon Kim , John Rozen , Seyoung Kim

Neural network-based approaches have recently shown significant promise in solving partial differential equations (PDEs) in science and engineering, especially in scenarios featuring complex domains or incorporation of empirical data. One…

机器学习 · 计算机科学 2025-03-19 Chuqi Chen , Yahong Yang , Yang Xiang , Wenrui Hao

Automatic differentiation (AD) in reverse mode (RAD) is a central component of deep learning and other uses of large-scale optimization. Commonly used RAD algorithms such as backpropagation, however, are complex and stateful, hindering deep…

编程语言 · 计算机科学 2018-10-03 Conal Elliott

Deep learning has seen tremendous success over the past decade in computer vision, machine translation, and gameplay. This success rests in crucial ways on gradient-descent optimization and the ability to learn parameters of a neural…

机器学习 · 计算机科学 2019-08-30 Fei Wang , Daniel Zheng , James Decker , Xilun Wu , Grégory M. Essertel , Tiark Rompf

Change-point detection (CPD) is crucial for identifying abrupt shifts in data, which influence decision-making and efficient resource allocation across various domains. To address the challenges posed by the costly and time-intensive data…

机器学习 · 计算机科学 2023-12-07 Hao Zhao , Rong Pan

Algorithmic differentiation (AD) tools allow to obtain gradient information of a continuously differentiable objective function in a computationally cheap way using the so-called backward mode. It is common practice to use the same tools…

最优化与控制 · 数学 2024-12-02 Lukas Baumgärtner , Franz Bethke

Semantic segmentation requires a holistic understanding of the physical world, as it assigns semantic labels to spatially continuous and structurally coherent objects rather than to isolated pixels. However, existing data-free knowledge…

计算机视觉与模式识别 · 计算机科学 2025-12-16 Hongxuan Sun , Tao Wu

Many engineering problems involve learning hidden dynamics from indirect observations, where the physical processes are described by systems of partial differential equations (PDE). Gradient-based optimization methods are considered…

数值分析 · 数学 2019-12-17 Kailai Xu , Dongzhuo Li , Eric Darve , Jerry M. Harris

Although distributed machine learning has opened up many new and exciting research frontiers, fragmentation of models and data across different machines, nodes, and sites still results in considerable communication overhead, impeding…

机器学习 · 计算机科学 2022-02-04 Bradley T. Baker , Aashis Khanal , Vince D. Calhoun , Barak Pearlmutter , Sergey M. Plis

Zero-shot classification is a generalization task where no instance from the target classes is seen during training. To allow for test-time transfer, each class is annotated with semantic information, commonly in the form of attributes or…

计算机视觉与模式识别 · 计算机科学 2020-10-27 Tristan Sylvain , Linda Petrini , R Devon Hjelm
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