TY - JOUR T1 - Rigid geometry solves “curse of dimensionality” effects: an application to proteomics JF - bioRxiv DO - 10.1101/094391 SP - 094391 AU - Shun Adachi Y1 - 2016/01/01 UR - http://biorxiv.org/content/early/2016/12/15/094391.abstract N2 - Motivation Quality of sample preservation at ultralow temperatures for a long term is not well studied. To improve our understandings, we need an evaluation strategy for analyzing protein degradation or metabolism at subfreezing temperatures. In this manuscript, we obtained LC/MS (liquid chromatography-mass spectrometry) data of calculated protein signal intensities in HEK-293 cells to monitor them.Results Our first trial for directly clustering the values has failed in proper arrangement of the sample clusters, most likely by the effects from “curse of dimensionality”. By utilizing rigid geometry with p-adic (I-adic) metric, however, we could succeed in rearrange the sample clusters to meaningful orders. Thus we could eliminate “curse of dimensionality” from the data set. We discuss a possible interpretation for a group of protein signal as a quasiparticle Majorana fermion. It is possible that our calculation elucidates a characteristic value of a system in almost neutral logarithmic Boltzmann distribution of any type.contacts: adachi.shun.3s@kyoto-u.ac.jp ER -