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The integration of constrained optimization models as components in deep networks has led to promising advances on many specialized learning tasks. A central challenge in this setting is backpropagation through the solution of an…

机器学习 · 计算机科学 2024-01-01 James Kotary , Jacob Christopher , My H Dinh , Ferdinando Fioretto

Training deep neural networks is a highly nontrivial task, involving carefully selecting appropriate training algorithms, scheduling step sizes and tuning other hyperparameters. Trying different combinations can be quite labor-intensive and…

机器学习 · 计算机科学 2017-06-13 Kaifeng Lv , Shunhua Jiang , Jian Li

Modern optimizing compilers are able to exploit memory access or computation patterns to generate vectorization codes. However, such patterns in irregular applications are unknown until runtime due to the input dependence. Thus, either…

分布式、并行与集群计算 · 计算机科学 2022-10-26 Changxi Liu , Hailong Yang , Xu Liu , Zhongzhi Luan , Depei Qian

For interior-point algorithms in linear programming, it is well-known that the selection of the centering parameter is crucial for proving polynomility in theory and for efficiency in practice. However, the selection of the centering…

最优化与控制 · 数学 2021-10-05 Yaguang Yang

A promising approach to optimal control of nonlinear systems involves iteratively linearizing the system and solving an optimization problem at each time instant to determine the optimal control input. Since this approach relies on online…

最优化与控制 · 数学 2025-01-30 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

Dynamic programming (DP) is an algorithmic design paradigm for the efficient, exact solution of otherwise intractable, combinatorial problems. However, DP algorithm design is often presented in an ad-hoc manner. It is sometimes difficult to…

数据结构与算法 · 计算机科学 2024-05-17 Max A. Little , Xi He , Ugur Kayas

Multiple rotation averaging plays a crucial role in computer vision and robotics domains. The conventional optimization-based methods optimize a nonlinear cost function based on certain noise assumptions, while most previous learning-based…

计算机视觉与模式识别 · 计算机科学 2024-09-17 Shiqi Li , Jihua Zhu , Yifan Xie , Naiwen Hu , Mingchen Zhu , Zhongyu Li , Di Wang

Differential Dynamic Programming is an optimal control technique often used for trajectory generation. Many variations of this algorithm have been developed in the literature, including algorithms for stochastic dynamics or state and input…

最优化与控制 · 数学 2022-05-26 Dennis Gramlich , Carsten W. Scherer , Christian Ebenbauer

Optimization methods play a central role in signal processing, serving as the mathematical foundation for inference, estimation, and control. While classical iterative optimization algorithms provide interpretability and theoretical…

The integration of constrained optimization models as components in deep networks has led to promising advances on many specialized learning tasks. A central challenge in this setting is backpropagation through the solution of an…

机器学习 · 计算机科学 2023-09-06 James Kotary , My H. Dinh , Ferdinando Fioretto

Differentiable programming is a new programming paradigm which enables large scale optimization through automatic calculation of gradients also known as auto-differentiation. This concept emerges from deep learning, and has also been…

量子物理 · 物理学 2022-02-01 Chenhua Geng , Hong-Ye Hu , Yijian Zou

Deep algorithm unrolling has emerged as a powerful model-based approach to develop deep architectures that combine the interpretability of iterative algorithms with the performance gains of supervised deep learning, especially in cases of…

计算机视觉与模式识别 · 计算机科学 2021-09-30 Yair Ben Sahel , John P. Bryan , Brian Cleary , Samouil L. Farhi , Yonina C. Eldar

Modern deep neural network (DNN) training jobs use complex and heterogeneous software/hardware stacks. The efficacy of software-level optimizations can vary significantly when used in different deployment configurations. It is onerous and…

分布式、并行与集群计算 · 计算机科学 2020-06-08 Hongyu Zhu , Amar Phanishayee , Gennady Pekhimenko

Optimization is an important module of modern machine learning applications. Tremendous efforts have been made to accelerate optimization algorithms. A common formulation is achieving a lower loss at a given time. This enables a…

机器学习 · 计算机科学 2025-05-29 Zhonglin Xie , Yiman Fong , Haoran Yuan , Zaiwen Wen

In recent times, an increasing number of researchers have been devoted to utilizing deep neural networks for end-to-end flight navigation. This approach has gained traction due to its ability to bridge the gap between perception and…

机器人学 · 计算机科学 2024-10-11 Zhichao Han , Long Xu , Liuao Pei , Fei Gao

Modern deep neural networks increasingly make use of features such as dynamic control flow, data structures and dynamic tensor shapes. Existing deep learning systems focus on optimizing and executing static neural networks which assume a…

编程语言 · 计算机科学 2021-03-15 Haichen Shen , Jared Roesch , Zhi Chen , Wei Chen , Yong Wu , Mu Li , Vin Sharma , Zachary Tatlock , Yida Wang

A major challenge in designing neural network (NN) systems is to determine the best structure and parameters for the network given the data for the machine learning problem at hand. Examples of parameters are the number of layers and nodes,…

人工智能 · 计算机科学 2017-05-25 Gonzalo Diaz , Achille Fokoue , Giacomo Nannicini , Horst Samulowitz

Automatic optimization for tensor programs becomes increasingly important as we deploy deep learning in various environments, and efficient optimization relies on a rich search space and effective search. Most existing efforts adopt a…

机器学习 · 计算机科学 2022-10-11 Junru Shao , Xiyou Zhou , Siyuan Feng , Bohan Hou , Ruihang Lai , Hongyi Jin , Wuwei Lin , Masahiro Masuda , Cody Hao Yu , Tianqi Chen

Computational models of human language often involve combinatorial problems. For instance, a probabilistic parser may marginalize over exponentially many trees to make predictions. Algorithms for such problems often employ dynamic…

计算与语言 · 计算机科学 2021-09-16 Tim Vieira , Ryan Cotterell , Jason Eisner

This paper presents a randomized algorithm for computing the near-optimal low-rank dynamic mode decomposition (DMD). Randomized algorithms are emerging techniques to compute low-rank matrix approximations at a fraction of the cost of…

数值分析 · 数学 2019-11-28 N. Benjamin Erichson , Lionel Mathelin , Steven L. Brunton , J. Nathan Kutz