caa a22 4500 605519102 CHVBK 20210128100729.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10559-015-9774-1 doi (NATIONALLICENCE)springer-10.1007/s10559-015-9774-1 Rachkovskij D. International Scientific and Training Center of Information Technologies and Systems, National Academy of Sciences and Ministry of Education and Science of Ukraine, Kyiv, Ukraine aut Estimation of Vectors Similarity by Their Randomized Binary Projections [Elektronische Daten] [D. Rachkovskij] We analyze the estimation of the angle, scalar product, and the Euclidean distance of real-valued vectors using binary vectors with controlled sparsity. Transformation is carried out by projection using a binary random matrix with elements {0,1} and the output threshold transformation. We also provide a comparative analysis of the error obtained while estimating the similarity measures of input vectors by some similarity measures of output binary vectors based on their scalar product. Springer Science+Business Media New York, 2015 binary random projections nationallicence sparse binary representations nationallicence estimate of vector similarity nationallicence Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/5(2015-09-01), 808-818 1060-0396 51:5<808 2015 51 10559 https://doi.org/10.1007/s10559-015-9774-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10559-015-9774-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Rachkovskij D. International Scientific and Training Center of Information Technologies and Systems, National Academy of Sciences and Ministry of Education and Science of Ukraine, Kyiv, Ukraine aut NATIONALLICENCE 773 0- Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/5(2015-09-01), 808-818 1060-0396 51:5<808 2015 51 10559