在生物系统中得到最佳的表现.
1Oklahoma State University, Stillwater, OK, USA. subhash.kak@okstate.edu.
概括
本研究探讨了最佳的数值基础,以有效地表示数据. 对于神经网络等物流系统来说,接近1.7632的基数是最优的,与生物信息编码保持一致.
科学领域:
- 信息理论是信息理论.
- 计算神经科学是一种计算神经科学.
- 数学建模的数学建模
背景情况:
- 在聚合系统中,最佳的表示对于高效的数据处理至关重要.
- 时代代码优于二进制,当表示成本与基数线性扩展时.
- 之前的研究表明,在线性成本条件下,基数"e"是最佳的.
研究的目的:
- 调查不同数量基础的相对效率,以代表相关,指数和后勤成本.
- 确定在物流地图中表示结构的最佳基础,与生物系统和神经网络相关.
主要方法:
- 分析各种成本函数 (亲系,指数,物流) 的表示效率.
- 数学推导,以找到物流地图的最佳基础值.
- 理论发现与生物信息编码机制的比较.
主要成果:
- 物流地图的最佳基础值大约是1.7632.
- 这种最佳基础是方程b^b = e的解.
- 这些发现与在歌鸟中观察到的单元和空间编码一致.
结论:
- 在物流系统中信息表示的最佳基础接近1.7632.
- 这一结果对理解生物系统,特别是神经网络中的信息处理产生了影响.
- 数学解 b^b = e 支持了这个最佳基值.
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