Publications
Reprints
Felix Polyakov "Biology-inspired geometric representation of probability and applications to completion and options' pricing". arXiv (2022)
Felix Polyakov "Representation of probability distributions with implied volatility and biological rationale". arXiv (2021)
Felix Polyakov "Are cognitive processes encoded through sequences of geometric transformations?". ResearchGate (2019)
Felix Polyakov "A property of Pascal's triangle that helps to simplify the Euler-Poisson equation for a class of optimization problems". SSRN (2014).
Felix Polyakov "A class of differential equations for merging movements' kinematic optimality with geometric invariance". arXiv (2014).
Articles
Felix Polyakov, "Affine differential geometry and smoothness maximization as tools for identifying geometric movement primitives". Biological Cybernetics (2016).
Felix Polyakov, Eran Stark, Rotem Drori, Moshe Abeles, and Tamar Flash, “Parabolic movement primitives and cortical states: merging optimality with geometric invariance”. Biological Cybernetics (2009) 100(2), 159-184.
Felix Polyakov, Rotem Drori, Yoram Ben-Shaul, Moshe Abeles, and Tamar Flash, “A compact representation of drawing movements with sequences of parabolic primitives”. PLoS Computational Biology (2009), 5(7).
Ronen Sosnik, Felix Polyakov, and Tamar Flash, "Motor learning and prediction: sequences", Encyclopedia of Neuroscience (2008).
Tamar Flash, Uri Maoz, and Felix Polyakov, "Arm trajectory formation", Encyclopedic Reference of Neuroscience (2008).
Conferences and Workshops
Felix Polyakov, Rotem Drori, Eran Stark, Moshe Abeles, and Tamar Flash, “Are parabolic segments movement primitives, and in what metrics are movements represented?”, Society for Neuroscience Meeting, Atlanta, USA, October 2006. [Abstract]
Felix Polyakov, Yoram Ben-Shaul, Rotem Drori, Zoltan Nadasdy, Eran Stark, Jacob Goldberger, Moshe Abeles, and Tamar Flash, “Are parabolas movement primitives? Are movements represented by an equi-affine metrics? Geometric and neurophysiological studies”, the Second Computational Motor Control Workshop, Beer-Sheva, Israel, June 2006. [Abstract] [Book of Abstracts]
Felix Polyakov, Tamar Flash, Moshe Abeles, Yoram Ben-Shaul, Rotem Drori, and Zoltan Nadasdy, “Modeling and compositionality of monkey drawing movements”, Computational Motor Control Workshop, Beer-Sheva, Israel, May 2005. [Abstract] [Book of Abstracts]
Felix Polyakov, Tamar Flash, Moshe Abeles, Yoram Ben-Shaul, Rotem Drori, and Zoltan Nadasdy, “Analysis and modelling of drawing movements”,The 13-th Annual Neural Control of Movement meeting, Santa-Barbara, California, April 2003. [Abstract]
Felix Polyakov, Tamar Flash, Moshe Abeles, Yoram Ben-Shaul, Rotem Drori, and Zoltan Nadasdy, “Analysis of motion planning and learning in monkey scribbling movements”, in Proceedings of the 10-th Biennial Conference of the International Graphonomics Society, pp. 78-83., Nijmegen, August, 2001. (Oral presentation) [Extended Abstract, 6 pages]
Felix Polyakov, “The problem of circumference leaving with maximal thrust”, in Proceedings of the 2-nd Republican Scientific Conference of Young Scientists and Students, p. 133, Tashkent, 1996. (In Russian)
Theses
Felix Polyakov, “Motion primitives and invariants in monkey scribbling movements: analysis and mathematical modeling of movement kinematics and neural activities ”, Ph.D. Thesis, Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot, Israel. September 2006. [pdf]
Felix Polyakov, “Analysis of monkey scribbles during learning in the framework of models of planar hand motion”, M.Sc. Thesis, Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot, Israel. April 2001. [pdf]