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高效离散优化问题结构的开发

Exploiting Problem Structure for Efficient Discrete Optimization
课程网址: http://videolectures.net/nipsworkshops2011_kohli_optimization/  
主讲教师: Pushmeet Kohli
开课单位: 微软公司
开课时间: 2012-01-25
课程语种: 英语
中文简介:
计算机视觉和机器学习中的许多问题都需要推断某些隐藏或不可观察变量的最可能状态。这个推理问题可以用离散变量的函数最小化来表示。计算机视觉问题的规模和形式给这项优化任务带来了许多挑战。例如,在视觉中遇到的函数可能涉及数百万甚至数十亿个变量。此外,函数可能包含编码变量之间非常高阶交互的项。这些特性确保了使用传统算法最小化此类函数的计算成本极高。在这篇演讲中,我将讨论通过利用在现实世界计算机视觉问题中遇到的离散优化问题的稀疏性和异构性,可以克服多少这些挑战。这种有问题意识的优化方法可以大大提高运行时间,并使我们能够为许多重要问题提供良好的解决方案。
课程简介: Many problems in computer vision and machine learning require inferring the most probable states of certain hidden or unobserved variables. This inference problem can be formulated in terms of minimizing a function of discrete variables. The scale and form of computer vision problems raise many challenges in this optimization task. For instance, functions encountered in vision may involve millions or sometimes even billions of variables. Furthermore, the functions may contain terms that encode very high-order interaction between variables. These properties ensure that the minimization of such functions using conventional algorithms is extremely computationally expensive. In this talk, I will discuss how many of these challenges can be overcome by exploiting the sparse and heterogeneous nature of discrete optimization problems encountered in real world computer vision problems. Such problem-aware approaches to optimization can lead to substantial improvements in running time and allow us to produce good solutions to many important problems.
关 键 词: 计算机视觉; 机器学习; 离散变量; 函数最小化
课程来源: 视频讲座网
最后编审: 2020-05-07:chenxin
阅读次数: 24