Hi, I am Peter and here is where I keep my random stuff.
Check out some of my open source projects:
Fredholm.py: A Python library for solving Fredholm equations numerically
Developed with problems in quantum many-body physics in mind, it is the only one, to the extent of my knowledge, that treats divergencies of principal value integrals properly.
Subtitles2.py: searching movie and TV show quotes
A python library that creates a search index for the movie and tv show quotes and therefore allows the quick substing search by parsing the `.srt` format files. Under the hood it works by creating a combination of a Suffix Array and an Inverted index to enable the log-time string string matching lookups.
Machine learning: homework solutions for the Caltech online course
Algorithm implementations and homework solutions for the Caltech online course on machine learning. Did not finish that one (had a lockdown at work),so it is not complete :-/
Imagine you are developing a flight search website. You need to build a tailored search index that is really good at one task: for the given date and search criteria returns the list of the next flights. How is it better to approach designing this?
Floating-point calculations may be ubiquous in today's world, but the more I have been learning about their flaws, the more I am becoming convinced that plain floating-point pretty much should not be used by anyone.
Here is the list of academic research papers I coauthored:
- M. S. Mashayekhi, J.-S. Bernier, D. Borzov, J.-L. Song, F. Zhou, "Two-dimensional Bose gases near resonance: universal three-body effects”, Phys. Rev. Lett. 110, 145301 (2013), arxiv:1209.4929
- D.Borzov, M.S.Mashayekhi, Sh.Zhang, J.Song, F.Zhou, "Nature of 3D Bose Gases near Resonance", Phys.Rev. A 85, 023620 (2012), arxiv:1110.2183
- D.Borzov, "Optical vibrations of hydrogen in disordered palladium-gold alloys", Physics of Extreme States of Matter (2009), arXiv:0901.1381v1
That is all there is so far.