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AI领域发展迅速,今天看似先进的大模型,几年后可能会被视为落后的小模型。然而,无论技术如何演化,基于第一性原则的结论却能长久有效。在这个报告中,我们将研究如何利用神经网络进行一阶法加速和求解混合整数优化问题,并通过数学推导得到神经网络所必须具备的结构,从而起到简化训练并提升稳定性的作用。
数学优化是一个基础领域,研究如何在给定的一组约束条件下找到函数的最小值。面对着非凸、组合、高纬度、数值问题等挑战下,在过去的 80 年中运筹专家、经济学家、控制论专家和数学家通过对数学和数值特性的研究,发现了一系列有效的方法。然而,一种被称为Learn to Optimize新范式可以利用机器学习来加速发现新的优化方法。本报告将介绍两个新工作。一个是关于图神经网络用于线性规划和混合整数规划求解的理...
Researchers at the Cornell University Center for Advanced Computing (CAC), Texas Tech University, and Indiana University are engaged in a $298,000 NSF-funded EAGER grant designed to optimize future cy...
Researchers at the Cornell University Center for Advanced Computing (CAC), Texas Tech University, and Indiana University are engaged in a $298,000 NSF-funded EAGER grant designed to optimize future cy...
Various kinds of urban applications require true orthophotos. True orthophoto generation requires a DSM (Digital Surface Model) to project the photo orthogonally and minimize geometric distortion due ...
An ongoing challenge for scientists working to understand the brain is being able to see all its parts. Researchers have spent centuries developing better imaging techniques to see beyond the abilitie...
Background: The omega-3 (n–3) long-chain polyunsaturated fatty acid (LCPUFA) docosahexaenoic acid (DHA) has proven effective at reducing fat storage in animal studies. However, a systematic review of ...
Recent advances in electrical, mechanical and communication systems have led to development of efficient low-cost and multi-function geosensor networks. The efficiency of a geosensor network is signif...
Second-generation biofuels have the potential to replace fossil fuels in the energy economy without negatively impacting the food supply. An effective biocatalyst must be able to convert all sugars fo...
PULLMAN, Wash. – Researchers led by a Washington State University biologist have found the optimal mechanism by which plants heal the botanical equivalent of a bad sunburn. Their work, published in th...
Background:: Hospital pharmacy is responsible for controlling and monitoring the medication use process and ensures the timely access to safe, effective and economical use of drugs and medicines for p...
A novel finite-element method for calculating the illumination-dependence of absorption in three-dimensional nanostructures is presented based on the RF module of the COMSOL software package. This met...
Use of a microcontroller-based bias board for balanced photodiodes improves even-order distortion cancellation due to voltage dependent responsivity nonlinearities.The bias board improves the second o...
A Decision Support System (DSS) is one of the essential tools that help decision makers, professionals and managers operate, control and take decisions on a sound and integral basis. Applications of a...
A genetic algorithm (GA), which is based on the theory of biological evolution, was applied to optimize the composition of Cu-Zn-Al-Sc oxide catalyst for methanol synthesis to identify high performan...

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