Lederman, Roy R Numerical Algorithms for the Computation of Generalized Prolate Spheroidal Functions Technical Report 2017. Abstract | Links | BibTeX | Tags: Algorithms, cryo-EM, Fourier Transform, Numerical Analysis, Prolate, Slepian, Software @techreport{lederman_numerical_2017, title = {Numerical Algorithms for the Computation of Generalized Prolate Spheroidal Functions}, author = {Roy R Lederman}, url = {https://arxiv.org/abs/1710.02874v1}, year = {2017}, date = {2017-10-01}, urldate = {2020-08-13}, abstract = {Generalized Prolate Spheroidal Functions (GPSF) are the eigenfunctions of the truncated Fourier transform, restricted to D-dimensional balls in the spatial domain and frequency domain. Despite their useful properties in many applications, GPSFs are often replaced by crude approximations. The purpose of this paper is to review the elements of computing GPSFs and associated eigenvalues. This paper is accompanied by open-source code.}, keywords = {Algorithms, cryo-EM, Fourier Transform, Numerical Analysis, Prolate, Slepian, Software}, pubstate = {published}, tppubtype = {techreport} } Generalized Prolate Spheroidal Functions (GPSF) are the eigenfunctions of the truncated Fourier transform, restricted to D-dimensional balls in the spatial domain and frequency domain. Despite their useful properties in many applications, GPSFs are often replaced by crude approximations. The purpose of this paper is to review the elements of computing GPSFs and associated eigenvalues. This paper is accompanied by open-source code. |
Stanton, Kelly P; Jin, Jiaqi; Lederman, Roy R; Weissman, Sherman M; Kluger, Yuval Ritornello: high fidelity control-free chromatin immunoprecipitation peak calling Journal Article Nucleic Acids Research, 45 (21), pp. e173–e173, 2017, ISSN: 0305-1048, (Publisher: Oxford Academic). Abstract | Links | BibTeX | Tags: DNA sequencing, Sequencing, Software @article{stanton_ritornello_2017, title = {Ritornello: high fidelity control-free chromatin immunoprecipitation peak calling}, author = {Kelly P Stanton and Jiaqi Jin and Roy R Lederman and Sherman M Weissman and Yuval Kluger}, url = {https://academic.oup.com/nar/article/45/21/e173/4157402}, doi = {10.1093/nar/gkx799}, issn = {0305-1048}, year = {2017}, date = {2017-01-01}, urldate = {2020-08-13}, journal = {Nucleic Acids Research}, volume = {45}, number = {21}, pages = {e173--e173}, abstract = {Abstract. With the advent of next generation high-throughput DNA sequencing technologies, omics experiments have become the mainstay for studying diverse biolo}, note = {Publisher: Oxford Academic}, keywords = {DNA sequencing, Sequencing, Software}, pubstate = {published}, tppubtype = {article} } Abstract. With the advent of next generation high-throughput DNA sequencing technologies, omics experiments have become the mainstay for studying diverse biolo |