Associate Professor Anatoli Torokhti

Associate Professor UniSA STEM

Mawson Lakes Campus (OC1-35)
tel +61 8 830 23812

email Anatoli.Torokhti@unisa.edu.au

Available for media comment
Research Degree Supervisor

Research

Research focus

Statistics
Applied Mathematics
Computation Theory and Mathematics
Econometrics
Information and Computing Sciences

Highlights

Computational Mathematics and Mathematical Modeling
Theoretical Foundations in Applied Analysis
Mathematical Data Processing
Statistics
Numerical Methods for Differential and Integral Equations

PhD students I am currently a PhD supervisor of:

Juan Pablo Soto-Quiros.
Len Patrick Dominic M. Garces

Research

Outputs

Research outputs for the last seven years are shown below. Some long-standing staff members may have older outputs included. To see earlier years visit ORCID, ResearcherID or Scopus

Open access indicates that an output is open access.

Highlights

Year	Output
2019	Soto-Quiros, P & Torokhti, A 2019, 'Improvement in accuracy for dimensionality reduction and reconstruction of noisy signals. Part II: the case of signal samples', Signal Processing, vol. 154, pp. 272-279. Open access 6 5
2019	Torokhti, A & Soto-Quiros, P 2019, 'Improvement in accuracy for dimensionality reduction and reconstruction of noisy signals. Part I: the case of random signals', Signal Processing, vol. 154, pp. 338-349. Open access 2 2
2016	Torokhti, A & Soto-Quiros, P 2016, 'Generalized Brillinger-like transforms', IEEE Signal Processing Letters, vol. 23, no. 6, pp. 483-487. Open access 10 9
2009	Torokhti, A & Friedland, S 2009, 'Towards theory of generic Principal Component Analysis', Journal of Multivariate Analysis, vol. 100, no. 4, pp. 661-669. Open access 22 16

Chapters

Year	Output
2013	Torokhti, A 2013, 'Operator approximation for processing of large random data sets', in BM Cepedello Boiso et al. (eds), Concrete operators, spectral theory, operators in harmonic analysis and approximation - 22nd international workshop on operator theory and its applications, 2011, Springer, UK, pp. 483-508.
2009	Howlett, PG, Pearce, C & Torokhti, A 2009, 'New perspectives on optimal transforms of random vectors', in C Pearce & E Hunt (eds), Optimization: structure and applications, Springer, UK, pp. 245-259.
2009	Torokhti, A & Miklavcic, S 2009, 'Data compression and de-compression by causal filters with variable finite memory', in K Jayanthakumaran (ed.), Advanced Technologies, In-Teh, Croatia, ch. 33, pp. 631-654. Open access

Journal Articles

Year	Output
2022	Howlett, P, Torokhti, A, Pudney, P & Soto-Quiros, P 2022, 'Multilinear Karhunen-Loève transforms', IEEE Transactions on Signal Processing, vol. 70, pp. 5148-5163. 1
2020	Howlett, P & Torokhti, A 2020, 'An optimal linear filter for estimation of random functions in Hilbert space', The ANZIAM Journal, vol. 62, no. 3, pp. 274-301. Open access
2019	Soto-Quiros, P & Torokhti, A 2019, 'Improvement in accuracy for dimensionality reduction and reconstruction of noisy signals. Part II: the case of signal samples', Signal Processing, vol. 154, pp. 272-279. Open access 6 5
2019	Torokhti, A & Soto-Quiros, P 2019, 'Improvement in accuracy for dimensionality reduction and reconstruction of noisy signals. Part I: the case of random signals', Signal Processing, vol. 154, pp. 338-349. Open access 2 2
2017	Soto-Quiros, P & Torokhti, A 2017, 'Optimal transforms of random vectors: the case of successive optimizations', Signal Processing, vol. 132, pp. 183-196. 1
2016	Torokhti, A & Soto-Quiros, P 2016, 'Generalized Brillinger-like transforms', IEEE Signal Processing Letters, vol. 23, no. 6, pp. 483-487. Open access 10 9
2016	Torokhti, A, Miklavcic, S & Soto-Quiros, P 2016, 'Distributed Systems: Identification, Optimization and Simulations', International Journal of Electronics and Electrical Engineering, vol. 4, no. 4, pp. 322-327. Open access
2015	Torokhti, A, Howlett, PG & Laga, H 2015, 'Estimation of stochastic signals under partially missing information', Signal Processing, vol. 111, pp. 199-209. 3 3
2014	Grant, A, Torokhti, A & Miklavcic, S 2014, 'Efficient compression of distributed information in estimation fusion', Electronic Notes in Discrete Mathematics, vol. 46, pp. 297-304. 1
2014	Torokhti, A & Howlett, P 2014, 'Estimation of noisy data: the case of partially missing information', Electronic Notes in Discrete Mathematics, vol. 46, pp. 305-312.
2014	Torokhti, A, Howlett, PG & Laga, H 2014, 'Estimation of large sets of stochastic signals: the case of sparse sampling', Sampling Theory in Signal and Image Processing, vol. 13, no. 3, pp. 207-230. 2
2012	Ejov, V & Torokhti, A 2012, 'How to transform matrices U1,...,Up to matrices V1,...,Vp so that ViVT j=O if i≠j?', Numerical Algebra, Control and Optimization, vol. 2, no. 2, pp. 293-299. Open access 1
2012	Miklavcic, SJ & Torokhti, A 2012, 'Piecewise interpolation filter for effective processing of large signal sets', World Academy of Science, Engineering and Technology. Proceedings, vol. 6, no. 7, pp. 770. Open access
2011	Torokhti, A & Miklavcic, S 2011, 'Filtering of infinite sets of stochastic signals: an approach based on interpolation techniques', Signal Processing, vol. 91, no. 11, pp. 2556-2566. 4 4
2010	Torokhti, A & Miklavcic, S 2010, 'Data compression under constraints of causality and variable finite memory', Signal Processing, vol. 90, no. 10, pp. 2822-2834. 2 1
2009	Torokhti, A & Friedland, S 2009, 'Towards theory of generic Principal Component Analysis', Journal of Multivariate Analysis, vol. 100, no. 4, pp. 661-669. Open access 22 16
2009	Torokhti, A & Howlett, P 2009, 'Filtering and compression for infinite sets of stochastic signals', Signal Processing, vol. 89, no. 3, pp. 291-304. 7 5
2009	Torokhti, A & Manton, J 2009, 'Generic weighted filtering of stochastic signals', IEEE Transactions on Signal Processing, vol. 57, no. 12, pp. 4675-4685. Open access 5 3

Conferences

Year	Output
2018	Soto-Quiros, P & Torokhti, A 2018, 'Multi-objective operator for optimal compression and de-compression of random signals', 2018 IEEE International Work Conference on Bioinspired Intelligence, IWOBI 2018, IEEE, article no. 8464195, pp. 1-7. Open access
2017	Soto-Quiros, P & Torokhti, A 2017, 'Extended Karhunen-Loève transform', 40th International Conference on Telecommunications and Signal Processing (TSP), IEEE, pp. 484-487. Open access 2
2013	Torokhti, A, Howlett, P & Laga, H 2013, 'Estimation of large data sets on the basis of sparse sampling', 10th International Conference on Sampling Theory and Applications (SampTA 2013), The European Association for Signal Processing, pp. 388-391. Open access
2013	Torokhti, A, Howlett, P & Laga, H 2013, 'Filtering of large signal sets: an almost blind case', in J Terzakis, C Paleologu & T Gyires (eds), Eighth International Multi-Conference on Computing in the Global Information Technology (ICCGI 2013), International Academy, Research, and Industry Association, pp. 101-105. Open access
2012	Torokhti, A & Miklavcic, S 2012, 'Optimal multidimensional signal processing in wireless sensor networks', in E Cabello et al. (eds), International Conference on Signal Processing and Multimedia Applications, SIGMAP 2012 and International Conference on Wireless Information Networks and Systems, WINSYS 2012, SciTePress, pp. 126-129. Open access
2012	Torokhti, A & Miklavcic, SJ 2012, 'Robust estimation of large data sets by piecewise-linear interpolating estimator', in A Komarek & S Nagy (eds), 27th International Workshop on Statistical Modelling (IWSM'27), Statistical Modelling Society, pp. 765-770. Open access
2009	Torokhti, A & Miklavcic, SJ 2009, 'Filtering and compression of stochastic signals under constraint of variable finite memory', in Joaquim Filipe, Juan Andrade Cetto & Jean-Louis Ferrier, INSTICC, vol. 3, pp. 104-109.
2008	Torokhti, A & Howlett, PG 2008, 'Optimal Data Compression and Filtering: The Case of Infinite Signal Sets', in C Ardil, World academy of science, engineering and technology, WASET, WASET, vol. 47, pp. 157-168. Open access
2008	Torokhti, A & Miklavcic, SJ 2008, 'Compression and filtering of Random Signals under Constraint of Variable Memory', in C Ardil, WASET, vol. 47, pp. 151-156.

External engagement & recognition

Collaborations

External engagement & recognition

Collaborations

Organisation	Country
Flinders University	AUSTRALIA
Instituto Tecnologico de Costa Rica	COSTA RICA
Instituto Tecnológico de Costa Rica	COSTA RICA
Technical University of Berlin	GERMANY
Tokyo Institute of Technology	JAPAN
University of Adelaide	AUSTRALIA
University of Illinois at Urbana-Champaign	UNITED STATES
University of Melbourne	AUSTRALIA
University of South Australia	AUSTRALIA

Teaching & student supervision

Highlights

Undergraduate and graduate courses in Mathematics and related areas including:

Numerical Methods
Probability and Statistics
Differential Equations
Applied Analysis
Nonlinear System Theory

Teaching & student supervision

Research degree supervision

Supervisions from 2010 shown

Thesis title	Student status
Exchange options under Stochastic Volatility and Jump-Diffusion (SVJD) dynamics	Completed
Optimal transforms of random vectors	Completed

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Associate Professor Anatoli Torokhti

About me

About me

UniSA STEM

About me

Professional Associations

Experience

Qualifications

Research

Research focus

Highlights

Projects

Outputs

Highlights

Chapters

Journal Articles

Conferences

Current research & highlights

External engagement & recognition

Collaborations

Collaborations

Teaching & student supervision

Highlights

Courses and programs

Courses I teach

Research degree supervision

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