I-Corps: Harnessing Chaotic System Variability

这个i-Corps项目的更广泛的影响/商业潜力是它能够改变和增强人们在线上和线下与音乐互动的方式，它需要一种基于混沌系统可变性的技术。通过充当音乐改变的推动者，这项拟议的技术将“个性化音乐”带到了播放列表和歌曲建议之外。第一次，音乐听众可以把自己的创造力带到他们关心的歌曲中。这个项目引入了一种新的音乐范式，在这种模式下，只需点击一个按钮，歌曲就会单独或与其他歌曲一起进化和转换。选择音乐作为这项技术的应用是经过深思熟虑的。音乐是一种高度依赖于上下文的应用程序，其中每个音符或音乐事件由前面的音符和事件确定，每个音符或事件预示着尚未到来的音符或音乐事件。这种先进的技术产生的音乐变体可以被分析，也可以用于音乐手段，这表明该方法可以应用于其他上下文相关符号序列，例如定义图像、文本、电影和视频的符号序列。此外，它还可以作为一般媒体从业者的思想生成器，并通过将科学与音乐艺术联系起来，激发K-12岁及以上学生对工程的兴趣。这个i-Corps项目利用混沌系统的可变性来生成一系列上下文相关符号的变体，例如那些构成音乐作品的符号。大多数工程师都在寻找消除混乱行为的方法。然而，在其“混沌区域”中，耗散混沌系统由于其解对初始条件的敏感性而具有自然的可变性机制。这种内在的可变性可以通过一种混沌映射技术来利用，该技术将有序输入转换为不同的有序输出。变化的输出可以接近原始作品，它可以发生无法识别的变化，以及在这两个极端之间实现不同程度的变化。该方法包括将输入解析成原始元素的有序序列{Ni}，原始元素由连续的整数值i=1，…，imax顺序索引。对于每个“i”，选择算法确定Ni是否是修饰或替换的候选者，从而成为“受体元件”。然后，替换或修改算法通过用替换元件改变或替换至少一个受体元件来对其进行操作。得到的原始和被替换或修改的元素的有序集合包括变体输出。几乎可以有无限的变化，每一种都是独一无二的。这一奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

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.