超立方体的二维投影
Two-dimensional projections of an hypercube
摘要：
我们提出了一种方法，以这样一种方式，以保持，以及可能的，顶点之间的距离分布的平面上投影任意尺寸的超立方体。该方法依赖于蒙特卡洛优化程序，最大限度地减少在平面和超立方体中的距离之间的平方差，适当加权。平面投影为超立方体上发生的动力学过程提供了一种方便的可视化方法。
英文摘要：
We present a method to project a hypercube of arbitrary dimension on the plane, in such a way as to preserve, as well as possible, the distribution of distances between vertices. The method relies on a Montecarlo optimization procedure that minimizes the squared difference between distances in the plane and in the hypercube, appropriately weighted. The plane projections provide a convenient way of visualization for dynamical processes taking place on the hypercube.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
