I-Corps: Harnessing Chaotic System Variability

I-Corps：利用混沌系统的可变性

• 批准号: 1924305
• 负责人: Diana Dabby
• 金额: $ 5万
• 依托单位: Franklin W. Olin College of Engineering
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-04-01 至 2022-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1924305&HistoricalAwards=false
• 关键词: Corps; Harnessing; Chaotic; System; Variability

The broader impact/commercial potential of this I-Corps project, entailing a technology based on chaotic system variability, is its ability to alter and enhance how people interact with music on and off line. By acting as a musical change agent, the proposed technology takes "personalized music" beyond playlists and song suggestions. For the first time, music listeners can bring their own creativity to the songs they care about. This project introduces a new paradigm for music where songs evolve and undergo transformation alone or with other songs, at the click of a button. The choice of music as an application for the technology is deliberate. Music is a highly context-dependent application where each note or musical event is determined by the preceding notes and events, and each note or event foreshadows those yet to come. That this advanced technique produces musical variations that can be analyzed as well as used for musical means suggest that the methodology could be applied to other sequences of context-dependent symbols, such as those that define image, text, film, and video. Furthermore, it can serve as an idea generator for media practitioners in general, as well as stimulate interest in engineering for students K-12 and beyond by linking science with the musical arts. This I-Corps project harnesses chaotic system variability to generate variations of a sequence of context-dependent symbols, such those that constitute a musical work. Most engineers seek ways to eliminate chaotic behavior. Yet in its "chaotic regime", a dissipative chaotic system possesses a natural mechanism for variability due to the sensitivity of its solutions to initial conditions. This built-in variability can be exploited by a chaotic mapping technique that transforms an ordered input into a variant ordered output. The variant output can be close to the original work, it can mutate beyond recognition, as well as achieve degrees of variability in between these two extremes. The method includes parsing the input into an ordered sequence of original elements {Ni}, the original elements sequentially indexed by successive integer values i=1,....,imax. For each "i", a selection algorithm determines whether Ni is a candidate for modification or replacement, thus becoming a "receptor element". A substitution or modifying algorithm then operates on at least one of the receptor elements by varying or replacing it with a substitution element. The resulting ordered set of original and substituted or modified elements comprises the variant output. A virtually infinite set of variations is possible, each unique.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该I-Corps项目的更广泛的影响/商业潜力是基于混乱的系统可变性的技术，是其改变和增强人们如何与音乐互动的能力。通过充当音乐变革代理商，该提议的技术将“个性化音乐”带到了播放列表和歌曲建议之外。音乐听众可以第一次将自己的创造力带入他们关心的歌曲中。该项目介绍了一个新的音乐范式，单击按钮，歌曲单独或与其他歌曲进行转换。音乐作为技术应用的选择是故意的。音乐是一个高度依赖上下文的应用程序，每个音符或音乐事件都由前面的注释和事件确定，每个音符或事件预示了这些尚未来的事件。这种先进的技术会产生可以分析的音乐变体，并用于音乐手段，表明该方法可以应用于其他与上下文相关的符号的序列，例如定义图像，文本，电影和视频的符号。此外，它可以作为一般媒体从业者的想法生成者，并通过将科学与音乐艺术联系起来，激发学生K-12及以后的工程兴趣。这个I-Corps项目利用混乱的系统可变性来产生一系列与上下文相关的符号的变化，例如那些构成音乐作品的符号。大多数工程师寻求消除混乱行为的方法。然而，在其“混乱制度”中，耗散混沌系统具有自然机制，这是由于其对初始条件的敏感性而具有可变性的自然机制。这种内置的可变性可以通过混乱的映射技术来利用，该技术将有序输入转换为变异有序输出。变体输出可以接近原始工作，它可以突变超出识别，并在这两个极端之间达到可变性程度。该方法包括将输入解析为原始元素{ni}的有序序列，原始元素由连续的整数值i = 1，....，imax依次索引。对于每个“ I”，选择算法确定Ni是修改还是替换的候选者，从而成为“受体元素”。然后，替换或修改算法通过用替代元素改变或替换为至少一个受体元素。由此产生的原始和替换或修改的元素组成的有序集包含变体输出。几乎可以实现一套无限的变化，每个差异都是独特的。该奖项反映了NSF的法定任务，并且使用基金会的知识分子优点和更广泛的影响标准，被认为值得通过评估来获得支持。