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Department of Mathematical Sciences

Staff

Dr Matthias Troffaes, PhD

Personal web page

Telephone: +44 (0) 191 33 43122
Room number: CM212

Contact Dr Matthias Troffaes (email at matthias.troffaes@durham.ac.uk)

Biography

After receiving his MSc degree in physical engineering in 2000 from Gent University, Belgium, Matthias Troffaes joined the SYSTeMS research group at the same university as a doctoral researcher, pursuing research in imprecise probability theory under the guidance of Gert de Cooman, earning the degree of PhD in April 2005. In July 2005, he went to Carnegie Mellon University as a Francqui Foundation Fellow of the Belgian American Educational Foundation, working as a post-doctoral researcher with Teddy Seidenfeld. In September 2006, he became a lecturer in statistics at the Department of Mathematical Sciences, Durham University.

Research Groups

  • Statistics
  • Statistics and Probability Group

Research Interests

  • Decision making
  • Foundations of probability and statistics
  • Uncertainty modelling
  • Risk
  • Severe uncertainty
  • Imprecise probability
  • Engineering
  • Renewable energy
  • Environment

Teaching Areas

  • Analytical Methods II (18 hours/year.)
  • Bayesian Statistics III/IV (20 hours/year.)
  • Decision Theory III (38 hours/year.)
  • Probability I (27 hours/year.)
  • Statistics I (18 hours/year.)

Selected Publications

Journal papers: academic

Books: authored

  • Troffaes, Matthias C. M. & De Cooman, Gert (Forthcoming). Coherent lower previsions.

Books: edited

  • Augustin, Thomas, Coolen, Frank P. A., De Cooman, Gert & Troffaes, Matthias C. M. (Forthcoming). Introduction to Imprecise Probabilities.
  • Coolen-Schrijner, Pauline, Coolen, Frank P. A., Troffaes, Matthias C. M., Augustin, Thomas & Gupta, Sat (2009). Imprecision in Statistical Theory and Practice. Grace Scientific Publishing.

Books: sections

  • Coolen, Frank P. A., Troffaes, Matthias C. M. & Augustin, Thomas (2011). Imprecise probability. In International Encyclopedia of Statistical Science. Lovric, Miodrag Springer.
  • Troffaes, Matthias C. M. (2006). Efficient and Robust Global Amino Acid Sequence Alignment with Uncertain Evolutionary Distances. In Modern Information Processing: From Theory to Applications. Bouchon-Meunier, Bernadette, Coletti, Giulianella & Yager, Ronald Elsevier Science Ltd. 371-381.
  • Troffaes, Matthias C. M. & De Cooman, Gert (2003). Extension of coherent lower previsions to unbounded random variables. In Intelligent Systems for Information Processing: From Representation to Applications. Bouchon-Meunier, B., Foulloy, L. & Yager, R. R. North-Holland. 277-288.

Conference papers

  • Troffaes, Matthias C. M. & Goldstein, Michael (2013), A Note on the Temporal Sure Preference Principle and the Updating of Lower Previsions, ISIPTA'13: Proceedings of the Eighth International Symposium on Imprecise Probability: Theories and Applications. Compiegne, France, SIPTA.
  • Troffaes, Matthias C. M. & Blake, Simon (2013), A Robust Data Driven Approach to Quantifying Common-Cause Failure in Power Networks, ISIPTA'13: Proceedings of the Eighth International Symposium on Imprecise Probability: Theories and Applications. Compiegne, France, SIPTA.
  • Troffaes, Matthias C. M. & Paton, Lewis (2013), Logistic Regression on Markov Chains for Crop Rotation Modelling, ISIPTA'13: Proceedings of the Eighth International Symposium on Imprecise Probability: Theories and Applications. Compiegne, France, SIPTA.
  • Troffaes, Matthias C. M. & Skulj, Damjan (2013), Model Checking for Imprecise Markov Chains, ISIPTA'13: Proceedings of the Eighth International Symposium on Imprecise Probability: Theories and Applications. Compiegne, France, SIPTA.
  • Huntley, Nathan & Troffaes, Matthias C. M. (2011), Dynamic Programming and Subtree Perfectness for Deterministic Discrete-Time Systems with Uncertain Rewards, in Coolen, Frank, de Cooman, Gert, Fetz, Thomas & Oberguggenberger, Michael eds, 7th International Symposium on Imprecise Probability: Theories and Applications. Innsbruck, SIPTA, 209-218.
  • Troffaes, Matthias C. M., Miranda, Enrique & Destercke, Sébastien (2011), On the connection between probability boxes and possibility measures, 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT '11). Aix Les Bains, France, EUSFLAT, 836-843.
  • Troffaes, Matthias C. M. & Destercke, Sébastien (2011), Probability boxes on totally preordered spaces for multivariate modelling, in Coolen, Frank, de Cooman, Gert, Fetz, Thomas & Oberguggenberger, Michael eds, 7th International Symposium on Imprecise Probability: Theories and Applications. Innsbruck, SIPTA, 343-352.
  • Troffaes, Matthias C. M. & Gosling, John Paul (2011), Robust detection of exotic infectious diseases in animal herds: A comparative study of two decision methodologies under severe uncertainty, in Coolen, Frank, de Cooman, Gert, Fetz, Thomas & Oberguggenberger, Michael eds, 7th International Symposium on Imprecise Probability: Theories and Applications. Innsbruck, SIPTA, 353-360.
  • Troffaes, Matthias C. M. & Hable, Robert (2011), Robustness of Natural Extension, in Coolen, Frank, de Cooman, Gert, Fetz, Thomas & Oberguggenberger, Michael eds, 7th International Symposium on Imprecise Probability: Theories and Applications. Innsbruck, SIPTA, 361-370.
  • Troffaes, Matthias C. M., Huntley, Nathan & Shirota Filho, Ricardo (2010), Sequential Decision Processes under Act-State Independence with Arbitrary Choice Functions, in Hüllermeier, Eyke, Kruse, Rudolf & Hoffmann, Frank eds, Communications in Computer and Information Science 80: Information Processing and Management of Uncertainty in Knowledge-Based Systems. Heidelberg, Springer, 98-107.
  • Huntley, Nathan & Troffaes, Matthias (2009), Characterizing factuality in normal form sequential decision making, in Augustin, Thomas, Coolen, Frank, Moral, Serafin & Troffaes, Matthias eds, ISIPTA'09: Proceedings of the Sixth International Symposium on Imprecise Probability: Theories and Applications Sixth International Symposium on Imprecise Probability: Theories and Applications. Durham, England, SIPTA, Durham, England, 239-248.
  • Huntley, Nathan & Troffaes, Matthias (2008), An efficient normal form solution to decision trees with lower previsions, Advances in Soft Computing: Soft Methods for Handling Variability and Imprecision Fourth International Workshop on Soft Methods in Probability and Statistics. Toulouse, France, Springer, 419-426.
  • Miranda, Enrique, Troffaes, Matthias & Destercke, Sebastien (2008), Generalised p-boxes on totally ordered spaces, Advances in Soft Computing: Soft Methods for Handling Variability and Imprecision Fourth International Workshop on Soft Methods in Probability and Statistics. Toulouse, France, Springer, 235-242.
  • Troffaes, Matthias C. M. (2007), Finite approximations to coherent choice, in de Cooman, Gert de Cooman, Vejnarova, Jirina & Zaffalon, Marco eds, ISIPTA'07: Proceedings of the Fifth International Symposium on Imprecise Probability: Theories and Applications Fifth International Symposium on Imprecise Probability: Theories and Applications. Prague, Czech Republic, Charles University, Faculty of Mathematics and Physics, Prague, 425-434.
  • Troffaes, Matthias C. M. & Coolen, Frank P. A. (2007), On the use of the imprecise Dirichlet model in fault trees, Mathematical Methods in Reliability: Proceedings Mathematical Methods in Reliability. Glasgow, Scotland, University of Strathclyde, Glasgow.
  • Troffaes, Matthias C. M. (2006), Conditional Lower Previsions for Unbounded Random Quantities, in Lawry, Jonathan, Miranda, Enrique, Bugarin, Alberto, Li, Shoumei, Ángeles Gil, Mariá, Grzegorzewski, Przemyslaw & Hryniewicz, Olgierd eds, Advances in Soft Computing: Soft Methods in Probability for Integrated Uncertainty Modelling Third International Workshop on Soft Methods in Probability and Statistics. Bristol, UK, Springer, 201-209.
  • De Cooman, Gert, Troffaes, Matthias C. M. & Miranda, Enrique (2005), n-Monotone lower previsions and lower integrals, in Cozman, Fabio G., Nau, Robert & Seidenfeld, Teddy eds, Proceedings of the Fourth International Symposium on Imprecise Probabilities and Their Applications. Pittsburgh, USA, 145-154.
  • Troffaes, Matthias C. M. (2004), Adaptive control without prior by dynamic programming, in De Jager, Bram & Verdult, Vincent eds, 23rd Benelux Meeting on Systems and Control, Book of Abstracts 23rd Benelux Meeting on Systems and Control. Eindhoven, Technische Universiteit Eindhoven, 68-68.
  • Troffaes, Matthias C. M. (2004), Efficient and Robust Global Amino Acid Sequence Alignment with Uncertain Evolutionary Distances, Proceedings of the Tenth International Conference IPMU 2004 (Information Processing and Management of Uncertainty in Knowledge-Based Systems) 1: Tenth International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems. Perugia, Italy, 571-578.
  • Troffaes, Matthias C. M. (2004), Learning and Optimal Control of Imprecise Markov Decision Processes by Dynamic Programming Using the Imprecise Dirichlet Model, in Lopéz-Díaz Miguel,, Gil, Maria A., Grzegorzewski, Przemyslaw, Hyrniewicz, Olgierd & Lawry, Jonathan eds, Soft Methodology and Random Information Systems SMPS 2004. Oviedo, Spain, Springer, 141-148.
  • De Cooman, Gert & Troffaes, Matthias C. M. (2003), Dynamic Programming for Discrete-Time Systems with Uncertain Gain, in Bernard, Jean-Marc, Seidenfeld, Teddy & Zaffalon, Marco eds, Proceedings of the Third International Symposium on Imprecise Probabilities and Their Applications (ISIPTA '03). Lugano, Switzerland, Carleton Scientific, 162-176.
  • Troffaes, Matthias C. M. (2003), Natural selection in aggregation or how evolutionary game theory may help in aggregating imprecise expert opinions, 7th workshop on dynamics and computation, iterated games and cooperation. Heverlee, Belgium, 35-6.
  • Troffaes, Matthias C. M. & De Cooman, Gert (2003), Reliable Interval Estimates for Download Times, Fourth FTW PhD Symposium Faculty of Engineering, Ghent University. Gent, Belgium.
  • Troffaes, Matthias C. M. (2003), Uncertainty and Conflict: A Behavioural Approach to the Aggregation of Expert Opinions, in Vejnarova, Jirina eds, Proceedings of 6th Workshop on Uncertainty Processing (WUPES 2003). Hejnice, Czech Republic, VSE - Oeconomica Publishers, 263-277.
  • Troffaes, Matthias C. M. & De Cooman, Gert (2002), Extension of Coherent Lower Previsions to Unbounded Random Variables, Proceedings of the Ninth International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU '02). Annecy, France, ESIA - Université de Savoie, 735-42.
  • Troffaes, Matthias C. M. & De Cooman, Gert (2002), Lower Previsions for Unbounded Random Variables, in Grzegorzewski, Przemyslaw, OHryniewicz, lgierd & Gil, Maria A. eds, Advances in Soft Computing Soft Methods in Probability, Statistics and Data Analysis (SMPS '02). Warsaw, Poland, Physica-Verlag, 146-155.
  • De Cooman, Gert & Troffaes, Matthias C. M. (2002), Optimal Control with Imprecise Gain through Dynamic Programming, in De Jager, Bram & Zwart, Hans eds, 21st Benelux Meeting on Systems and Control, Book of Abstracts 21st Benelux Meeting on Systems and Control. Eindhoven, Technische Universiteit Eindhoven, 94.
  • Troffaes, Matthias C. M. & De Cooman, Gert (2002), The combination of conflicting information, Proceedings of the 3rd FTW PhD Symposium 3rd FTW PhD Symposium. Gent, Belgium.
  • Troffaes, Matthias C. M., De Cooman, Gert & Aeyels, Dirk (2001), Imprecise probabilities - discussion and open problems, Proceedings of the 2nd FTW PhD Symposium 2nd FTW PhD Symposium. Gent, Belgium.
  • Troffaes, Matthias C. M., De Cooman, Gert & Aeyels, Dirk (2001), Optimal control under imprecision, 20th Benelux Meeting on Systems and Control, Book of Abstracts 20th Benelux Meeting on Systems and Control. 71-71.

Edited works: conference proceedings

Edited works: journals

Other publications: research

Presentation

  • Troffaes, Matthias C. M. & Kelly, Dana (2011), Common-cause failure in wind turbines: an initial analysis, in Coolen, Frank, de Cooman, Gert, Fetz, Thomas & Oberguggenberger, Michael eds, Abstracts of Poster Only Presentations 7th International Symposium on Imprecise Probability: Theories and Applications. Innsbruck, SIPTA, 33-33.

Theses: masters

  • Troffaes, Matthias C. M. (2000). Quantum algorithmes: theoretische aspecten en toepassingen. Universiteit Gent. Masters.

Theses: PhD

  • Troffaes, Matthias C. M. (2005). Optimality, Uncertainty, and Dynamic Programming with Lower Previsions. Department of Electrical Energy, Systems & Automation. Gent, Universiteit Gent. PhD: 384.

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