Cognitive robotics and mathematical engineering

Yingxu Wang
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引用次数: 14

Abstract

It is recognized that the core problems across contemporary disciplines such as cognitive science, intelligence science, robotics, knowledge science, brain science, and computational intelligence are a fundamental mathematical problem where none of them may be simply reduced onto any type of numbers. This keynote lecture presents an emerging field known as mathematical engineering (ME) underpinning cognitive robotics. ME is a contemporary form of abstract engineering that studies formal structural models and functions of complex, abstract, and mental objects and their systematic and rigorous manipulations. ME is embodied by denotational mathematics (DM) supplement to traditional analytic mathematics. DM is a category of novel mathematical structures as function of functions on hyperstructures beyond those of real numbers and bits, in order to formalize rigorous expressions and inferences. ME powered by DMs provides a novel approach to solve complex and intelligent computing problems centric in the development of cognitive robots towards autonomous perception, inference, and learning mimicking the cognitive mechanisms of the brain.
认知机器人和数学工程
认知科学、智能科学、机器人技术、知识科学、脑科学和计算智能等当代学科的核心问题是一个基本的数学问题,其中没有一个可以简单地简化为任何类型的数字。这个主题演讲介绍了一个新兴的领域,即数学工程(ME),它是认知机器人的基础。机械工程是抽象工程的一种当代形式,它研究复杂、抽象和精神对象的形式结构模型和功能,以及它们系统和严格的操作。广义数学是指指数学对传统分析数学的补充。DM是一种新颖的数学结构,它是超越实数和位的超结构上的函数的函数,目的是形式化严格的表达式和推理。由dm驱动的ME提供了一种新的方法来解决复杂的智能计算问题,这些问题以认知机器人的发展为中心,朝着自主感知、推理和模仿大脑认知机制的学习方向发展。
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