Dr Bogdan Roman
I am a Research Associate in the Applied Functional and Harmonic Analysis group at DAMTP. I am also a Research Fellow at the Computer Laboratory department, and the Director of Studies for Computer Science at Homerton College.
Tel: +44 1223 760403
Email: abr28 [at] cam.ac.uk
Siemens validated in practice, using a modified MRI machine, the asymptotic sparsity, asymptotic incoherence and high resolution concepts introduced by our work (see Breaking the coherence barrier: A new theory for compressed sensing and also On asymptotic structure in compressed sensing). From their results and conclusion:
“The image resolution has been greatly improved [...]. Current results practically demonstrated that it is possible to break the coherence barrier by increasing the spatial resolution in MR acquisitions. This likewise implies that the full potential of the compressed sensing is unleashed only if asymptotic sparsity and asymptotic incoherence is achieved.”
Their work Novel Sampling Strategies for Sparse MR Image Reconstruction was published in May 2014 in the Proceedings of the International Society for Magnetic Resonance in Medicine.
The effects and benefits of these concepts are found in our work On asymptotic structure in compressed sensing, which also includes a large number of example experiments.
Part III course on Sampling and Compressed Sensing. For my teaching and supervising at the Computer Lab, please see my CL homepage.
Compressed sensing, signal processing, sampling theory, inverse problems, computational mathematics. For my research on wireless comms, please see my CL homepage.
- (Very) Fast C++ MEX Hadamard (Walsh-Hadamard) transform with support for sequency and natural
ordering, multi-core/multi-cpu and also complex values. Orders of magnitude faster than
Matlab's fwht() function.
Download v1.3, Oct 2014. Includes 64bit binaries for Linux, MacOSX and Windows, and Matlab wrappers for 1D and 2D transforms, unitary and non-unitary.
- Compiling MEX files directly from Matlab seamlessly under Windows using GCC (MinGW64).
This should normally work with most C/C++ MEX files that work under Linux. You also won't
need to carry or distribute the std runtime .DLLs from MingW/Cygwin.
Download this mexopts.bat file and place it in %USERPROFILE%\AppData\Roaming\Mathworks\MATLAB\R2014a\. See more instructions and details inside the downloaded mexopts.bat file (see also this StackExchange answer).
Automated tool for stress testing Mac machines to reveal throttling or overheating.
It downloads all needed tools, starts benchmarks, monitors CPU temperature and frequency,
and plots them versus time (sample output).
First created as a personal test tool. It can do CPU and GPU tests
(Prime95, x264, GpuTest, user defined).
Get it on GitHub.
I sometimes create and collect probability theory questions and puzzles. They are short, yet not (all) trivial, so I hope you'll find them entertaining. I also use them in my undergraduate teaching so I welcome alternative solutions, extensions or new questions:
- B. Roman, A. Bastounis, B. Adcock, A. Hansen, On fundamentals of models and sampling in compressed sensing, 2015
- B. Roman, B. Adcock, A. Hansen, On asymptotic structure in compressed sensing, arXiv:1406.4178, 2014
- B. Adcock, A. Hansen, B. Roman, Compressed sensing with local structure: Theory, applications and benefits , IEEE Samp. Theory and Appl., SampTA'15, 2015
- B. Adcock, A. C. Hansen, B. Roman, The quest for optimal sampling: Computationally efficient, structure-exploiting measurements for compressed sensing, Book: Compressed Sensing and Its Applications, Springer, 2015
- B. Adcock, A. C. Hansen, B. Roman, A note on compressed sensing of structured sparse wavelet coefficients from subsampled Fourier measurements, arXiv:1403.6541, 2014
- B. Adcock, A. C. Hansen, B. Roman, G. Teschke, Generalized sampling: stable reconstructions, inverse problems and compressed sensing over the continuum, Book series: Advances in Imaging and Electron Physics, vol. 182, Elsevier, 2014
- B. Adcock, A. C. Hansen, C. Poon, B. Roman, Breaking the coherence barrier: asymptotic incoherence and asymptotic sparsity in compressed sensing, IEEE Samp. Theory and Appl., SampTA'13, 2013
- B. Adcock, A. C. Hansen, C. Poon, B. Roman, Breaking the coherence barrier: A new theory for compressed sensing, arXiv:1302.0561, 2013
- S. Akoush, R. Sohan, B. Roman, A. Rice, A. Hopper, Activity Based Sector Synchronisation: Efficient Transfer of Disk-State For WAN Live Migration, IEEE Modeling, Analysis and Simulation of Computer and Telecommunication Systems, MASCOTS'11, 2011
- B. Roman, I. Wassell, I. Chatzigeorgiou, Cross-Layer Wireless Access Control Using Multi-Carrier Burst Contention, IEEE Journal on Selected Areas in Communications, vol. 29, no. 1, pp. 113-128, 2011
- B. Roman, I. Chatzigeorgiou, I. Wassell, F. Stajano, Evaluation of Multi-Carrier Burst Contention and IEEE 802.11 with Fading During Channel Sensing, IEEE Personal Indoor Mobile Radio Communications, PIMRC'09, 2009
- B. Roman, F. Stajano, I. Wassell, D. Cottingham, Multi-Carrier Burst Contention (MCBC): Scalable Medium Access Control for Wireless Networks, IEEE Wireless Communications and Networking Conference, WCNC'08, 2008
- B. Roman, F. Stajano, Scalable Medium Access Control, Microsoft Research Workshop 2007 (poster, won 2nd place), Cambridge, UK, 2007
B. Roman, Scalable Cross-Layer Wireless Medium Access Control, University of Cambridge, Computer Laboratory, 2011