报告“几何和表示论张量的计算机科学，统计和其他领域。"
Report on "Geometry and representation theory of tensors for computer science, statistics and other areas."
摘要：
这是一份关于2008年7月21日至7月25日在美国数学研究所举行的研讨会的技术报告，该研讨会由Joseph Landsberg，Lek-Heng Lim，Jason Morton和Jerzy Weyman组织。我们包括一个开放的问题列表，来自4个不同领域的应用：信号处理，Mulmuley-Sohoni方法P与NP，匹配门和全息算法，纠缠和量子信息论。我们强调几何和表示论之间的相互作用和这些应用领域。
英文摘要：
This is a technical report on the proceedings of the workshop held July 21 to July 25, 2008 at the American Institute of Mathematics, Palo Alto, California, organized by Joseph Landsberg, Lek-Heng Lim, Jason Morton, and Jerzy Weyman. We include a list of open problems coming from applications in 4 different areas: signal processing, the Mulmuley-Sohoni approach to P vs. NP, matchgates and holographic algorithms, and entanglement and quantum information theory. We emphasize the interactions between geometry and representation theory and these applied areas.
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。
