Accomplishments ofcob@helixometry.com
andras@usa-siliconvalley.com
http://helixometry.com
http://fractogene.com
Tel : 408.891.7187
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Claims
Documentation
List of Publications
Press, Meetings, Presentations
Claims
Biophysicist of Natural Information Geometry. In Neural Geometry, developed Tensor Network Theory of the Cerebellum, experimentally verified and F15 Fighter plane was controlled at NASA by artificial cerebellum. For this work, received the Humboldt Prize from Germany. In DNA Geometry, his Helixometry Company submitted FractoGene Patent (pending) for the fractal language of the genetic code. As a result of Neural Geometry and DNA Geometry approaches, the Cerebellum is the only part of the CNS that is mathematically explained both in its structuro-functional properties (sensorimotor metric tensor of the spacetime manifold) and in its physiological and pathological growth of its brain cells (the Purkinje neuron): the genetic code is mathematically explained from the DNA exon and intron repetitions in terms of fractal geometry.
Pioneered the use of computers and Nature's mathematical algorithms in neural intelligence starting 1967 in Budapest, Hungary. In the USA, started as a Stanford Postdoctoral Fellow, followed by internationally recognized accomplishments in US Academia, Government and Private Industry. Presently, Dr. Pellionisz is the Founder of HelixoMetry Patents, Inc., a California C coporation in Silicon Valley. Steadfast pursuit of morphogenesis of the CNS, over a third of a Century, led to breakthrough applications in Personalized Medicine of FractoGene, the intrinsic fractal language of the genetic code.
In Academic Research, Pellionisz, professor of New York University is the originator of a pioneering Information Geometry approach to Neural Nets, Tensor Network Theory. TNT explains the function of 1/4 of the brain (the cerebellum) in terms of tensor analysis, the intrinsic mathematical language of Biological Neural Nets. The key paper of TNT is re-published in his book on Neurocomputing (now also available in paperback), together with a lucid encapsulation of its significance by Prof. James Anderson (who also acted lately as Chief Scientist of another Internet start-up devoted to Net Intelligence). Pellionisz' TNT, as detailed in Prof. Patricia Churchland's book comparing Pellionisz' theory to that of Francis Crick is one of the few neural net approaches that is both neurobiology-based, plus provided quantitatively verifiable predictions, which furthermore have actually been proven by independent experimental neuroscientists (see Documentation). The mathematical neural net theory and its experimental confirmation reveals how the so-called "little brain", an existing neural net accomplishes space-time coordination (46). Once the book was published, the role of geometry in Neural Nets was immediately recognized by World leaders of the field, as well as by prominent Research and Development organizations (see Documentation). Even his early opponents turned, within half a decade, into followers. Now, before a decade is out after the book has been published, former antagonists appear as brazen champions of Information Geometry, by freely adopting Pellionisz' metric tensor neural net approach to non-Euclidean natural geometries to Riemannian spaces (see Documentation). In 1989b, Pellionisz published the first fractal morphogenesis of brain cell, See also FractoGene, com. For this accomplishments in Neurocomputing, Pellionisz was Awarded by Alexander von Humboldt Prize "for Senior distinguished American Scientists" (1990, New York University also noted Humboldt Award and summarized accomplishments of its Professor), and was awarded Honorary Doctor of the Hungarian National Academy (1990).
In Government R&D, Pellionisz, as a Senior Research Associate of the USA National Academy of Science to NASA, is the originator of NASA's "Flight Control by Neural Nets" initiative. The program materialized years later in 1999 by NASA flying an F15 fighter plane with neural nets.
To bridge Academia, Government and Industry, Pellionisz established Silicon Valley Net Institute, which forged academic Information Geometry achievements into applications in innovative business models for the use of Internet by Private Industry and Government Projects (109-110).
For Industrial Applications in Private Business, Pellionisz put in the last decade his academic foundation of Information Geometry into use in Internet Search and Categorization/Profiling/Recommendation by his Neural Net approach and 4-layer architecture (Rule Base, XML, Natural Language Processing, Neural Nets). As an Executive in a series of Silicon Valley Internet companies, Dr. Pellionisz helped validate Mr. Turing's vision half a century ago. Pellionisz served as a Principal Knowledge Engineer of Ernst & Young affiliate Kanisa in Cupertino, helping a classic "big six" establishment turn into a 21st Century Internet heavyweight, then as Principal E-Commerce Engineer at independent e-mail start-up of Fabrik, San Francisco, as it transformed into E-commerce (later ROIdirect). Subsequently, he served as Chief Intelligence Officer and Sr. Architect at several Silicon Valley Information Technology Companies (Verge, Xmarksthespot, Mindmaker). As Chief Intelligence Officer of Mindmaker, Inc. a global intelligence portfolio headquartered in Silicon Valley, with subsidiaries and offices in Asia (Singapore), Europe (U.K., Belgium, Hungary), Dr. Pellionisz gained experience in top management and business development of global software company. At Mindmaker, Dr. Pellionisz established PureMatch, a division of Mindmaker. In 2001, PureMatch, inc. became an independent Silicon Valley Spin-Off with Pellionisz as Founder and CEO, a California corporation for e-Commerce (particularly m-Commerce) Personalization, that Pellionisz divested. Subsequently, synthesizing his engineering and biology degrees, his neurocomputing expertise and experience in industrial scale global software development, Dr. Pellionisz became the Founder, CEO and COB of HelixoMetry Patents, inc., to pursue Personalized Medicine in Silicon Valley based on the fractal "language" FractoGene.
Documentation
Tensor Net Theory (TNT) was proven by neurobiological research (1) Gielen, C.C.A.M. and E. J. van Zuylen.(The Netherlands) Coordination of arm muscles during flexion and supination: Application of the tensor analysis approach. Neuroscience. 17: 527-539, 1986, and (2) Peterson et al. (Chicago, IL, USA, 1985) Relation Between Neck Muscle Pulling Directions and Activity by the VCR: Experimental Test of a Tensor Model. Soc. Neurosci. Absts. 11. p.
Concerning the emerging role of geometry in neuroinformatics (1990) By Eckmiller, R. In: "Parallel Processing in Neural Systems and
First, a "critique" then a turnaround by Arbib, M. and Amari, S.I. (1985) J. Theor. Biol. 112, 123-155 (with immediate response by Pellionisz in #57), followed by Amari, S: (1991) "Dualistic Geometry of the Manifold of Higher-Order Neurons. Neural Networks" [using covariant and contravariant metric tensors]: 4(4): 443-451, and now Amari, S. and S.Wu (1999) Improving support vector machine classifiers by modifying kernel functions. [using Riemannian metric tensors as foundation of "Information Geometry"]. Neural Networks, Vol.12, No.6
Terry Sejnowski and McNaughton adopt (20 years after) the dual tensorial approach for the hippocampus (See their Fig. 4 . and references to Pellionisz' Tensor Network Theory papers).
An F-15 fighter plane was flown by neural nets by NASA within a decade after Pellionisz as a Senior Research Associate of the USA National Academy of Science to NASA originated NASA's "Flight Control by Neural Nets" initiative
A collection of Pellionisz' main public websites
Co-workers of Pellionisz in Tensor Network Theory and Independent Schools Greatly Influenced by TNT
Some samples of citations of Tensor Network Theory (html only)
Citations of Tensor Network Theory (doc, pdf, ps, etc. formats)
HelixoMetry Patents, inc. was established by Dr. Pellionisz as Founder, CEO and COB as a California C corporation to solely focus on Personalized Medicine (using his 4-layer intelligence algorithm, AI, XML, NLP and Neural Nets, in genomics, microarray data-analysis, personalized drug discovery, development and recommendation). As he outlined as early as a decade ago in his NIH/NIMH/NASA/NSF "decade of the brain program" we are now at the brink that neural net technologies of non-Euclidean metrical and fractal geometries. Pellionisz studied in morphogenesis of cerebellum (1977, #30), and pioneered fractal genetic determination of Purkinje neurons (1989). This Intellectual Property in Information Technology now finds its application in deciphering the mapping of symptomatic categorization, behavioral and medical profiling and therapeutic recommendation, as determined by the highly repetitious, self-similar, fractal-like DNA genome. In an alliance with a key Translation Memory IT company (hitherto for Natural Languages), HelixoMetry will take up FractoGene, "the new language of the Genetic Code".
List of Publications
DNA GEOMETRY (FractoGene, patent pending)
(126) Pellionisz, A. (2003) Cerebellogenesis. In: Special Issue of "The Cerebellum" (in preparation)
NEURAL GEOMETRY (Tensor Network Theory, patent)
(111) Pellionisz, A.J. (1994) From Geometrical Foundations of NN Research to Lead-Roles in Silicon Valley Information Industry in Flight Control and Infohighway Interface. Invited Lecture at Korean Neural Network Conference, Seoul, Korea
(107) Pellionisz, A. J. and C. Ramos (1992) A Geometrical Approach to the Vestibular Control of Movement and Posture. Natural and Artificial Control of Hearing and Balance, Rheinfelden, Switzerland, J. Allum, eds., Elsevier
(106) Pellionisz, A. J., D. L. Tomko and J. Bloedel R. (1992) Neural Geometry Revealed by Neurocomputer Analysis of Purkinje Cell Responses. Computing by Neural Systems, San Francisco, C. Ploegaert, eds., Kluever, Boston, MA, 1-5.
(104) Pellionisz, A. (1991) The Geometry of Massively Parallel Neural Interconnectedness in Wired and Wireless Volume Transmission . Ch. 45. In: Volume Transmission in the Brain . Ed. by K.J.Fuxe and L. Agnati, Raven Press, New York, pp. 557-568
(103) Pellionisz, A.J. and Bloedel, JR. (1991) Functional geometry of Purkinje cell population responses as revealed by neurocomputer analysis of multi-unit recordings. Soc. Neurosci. Absts. v.21
(101) Pellionisz, AJ, B.LeGoff, J.Laczko and A. Berthoz. (1991) Multidimensional Geometry Intrinsic to Head Movements around Distributed Centers of Rotation: A Neurocomputer Paradigm. In:The Head-Neck Sensory-Motor System Oxford Univ. Press. Eds. A. Berthoz, W.Graf and P. Vidal. pp.117-125
(101 a) Pellionisz, AJ, Peterson, B.W., Tomko, L.D. (1990) Vestibular Head- Eye Coordination: a Geometrical Sensorimotor Neurocomuter Paradigm. in : Advanced Neurocomputing. Ed. R. Eckmiller, Elsevier, North Holland. pp.126-145.
(98c) Pellionisz, A (1989) About the Geometry Intrnsic to Neural Nets. International Joint Conference on Neural Nets, Washington, D.C. Vol. I. p. 711-715.
(98d) Pellionisz, A (1989) Fractal Geometry of Purkinje Neurons: Relationships among Metrical and Non-Metrical Neural Geometries. Soc. Neurosci. Absts. 15 (1) 180.
(98e) Pellionisz, A (1989) Brain Geometry: The need of Researching Association of Covariant and Contravariant Coordinates that Organize a Cognitive Space by Relating Multisensory-Multimotor Representations. Proc. of 3rd. IEEE Intern. Conf. on Neuronal Netorks, Washington, D.C.
(98f) Peterson, B.W., Pellionisz, A.J., Baker, J.A., Keshner, E.A. (1989) Functional Morphology and Neural Control of Neck Muscles in Mammals. Am. Zoology, 29:139-149
(98b) Pellionisz, A. (1988) Vistas from Tensor Network Theory: A Horizon from Reductionalist Neurophilosophy to the Geometry of Multi-Unit Recordings. In: Computer Simulation in Brain Science (ed. by R. Cotterill), Cambridge University Press, pp. 44-73.
(97a) Pellionisz, A., Peterson, BW. (1988) A Tensorial Model of Neck Motor Activation. In: Control of Head Movement (eds. Peterson, BW. and Richmond, F.), Oxford University Press , pp. 178-186.
(97b) Pellionisz, A., Peterson, BW. (1988) Theoretical Predictions of Spatial Anisotropy of Acerebellar Dysmetria in Head Movements of Cats. Soc. Neurosci. Absts. 14/2: 1239.
(97c) Berthoz, A., Benhamou, M. and Pellionisz, A.J. (1988) Postural Positions Yielding Aligned Eigenvectors of Coordinate Frames Intrinsic to Vestibular and Nead-Neck Muscle Systems in Human. Soc. Neurosci. Absts. 14/2: 1235
(97d) Pellionisz, A. (1988) Intelligent Decisions and Dynamic Coordination: Properties of Geometrical Representation by BGeneralized Frames Intrinsic to Neural and Robotic Systems. Proc. of 2nd IEEE Internatl. Conf. on Neuronal Networks, San Diego, Vol. 2:603-610.
(97e) Pellionisz, A. (1988) Coordinated Trajectory Control in Intrinsic Sensorimotor Frames. Absts. 1st. Ann. Mtg. Boston, Neural Networks, Suppl: 1:354.
(96) Pellionisz A. (1988) Sensorimotor Operations: a Ground for the Co-Evolution of Brain Theory with Neurobotics and Neurocomputers. In: Proc. IEEE First Annual International Conference on Neural Networks, San Diego Vol.4:593-600.
(95) Pellionisz, A. (1988) Tensorial Aspects of the Multidimensional Massively Parallel Sensorimotor Function of Neuronal Networks. In: Progress in Brain Research: Vestibulospinal Control of Posture and Movement. (ed. by O. Pompeiano and J.H.J. Allum) Progress in Brain Research, Elsevier, pp. 341-354.
(94) Pellionisz, A. (1988) Tensor Geometry: A Language of Brains and Neurocomputers. Generalized Coordinates in Neuroscience and Robotics. In: Neural Computers (NATO Advanced Science Institutes Series, F (Computers and Systems Sciences Vol. 41) (ed. by R. Eckmiller and C. von Malsburg), Springer Verlag, Berlin pp. 381-391.
(93b) Bloedel, J.R., Tillery, S.I. and Pellionisz, A.J. Experimental-Theoretical Analysis of the Intrinsic Geometry of Limb Movements. Neurosci. Abst. 14: 952, 1988
(93) Daunicht, W. & Pellionisz, A. (1987) Spatial arrangement of the Vestibular and the Oculomotor System in the Rat. Brain Research 435. pp. 48-56.
(92) Pellionisz, A. & Graf, W. (1987) Tensor Network Model of the "Three-Neuron Vestibulo-Ocular Reflex-Arc" in Cat. J. Theoretical Neurobiology , (5)127-151.
(91) Pellionisz, A.(1987) Tensor Geometry as the Mathematical Language of Neuronal Networks. Brain Theory & Foundation for Neurobotics and Neurocomputers. Proc. of IBRO II.World Congress, Neuroscience, Suppl. to Vol 22, p. S101
(90) Peterson, B.W., Baker, J.F., Pellionisz, A.J. (1987) Multidimensional Analysis of Vestibulo-Ocular and Vestibulo-Colllic Reflexes (VOR and VCR). In: Proceedings of the International Symposium on Basic and Applied Aspects of Vestibular Function, Hong Kong
(89) Pellionisz, A. (1987) Tensor Geometry: Mathematical Brain Theory for Neurocomputers and Neurobots. In: Proc. of the Ninth Annual Conference of IEEE Engineering in Medicine and Biology Society, Boston, 87 CH 2513-0,Vol 3. pp. 1368-1369.
(88) Pellionisz, A. (1987) Multidimensional Geometries Intrinsic to Cognitive CNS Hyperspaces, and their Metaorganization by a Sensorimotor Apparatus. Soc. Neurosci. Absts. 13.V.2.pp.1094
(87) Liverneaux, Ph, Pellionisz, A.J., Lestienne, F.G. (1987) Morpho-Anatomy and Muscular Synergy of Sub-occipital Muscles in Macaca Mulatta: Study of Head-Trunk Coordination. Proc. of IBRO II. World Congress, Neuroscience , Suppl. to Vol.22, p. S847
(86) Lestienne, F, Liverneaux, Ph. and Pellionisz, A. (1988) Morpho-anatomy of sub-occipital muscles in monkey: a tensor model of the musculo-skeletal head-neck system. Reunion Commune de la Physiological Society et de l'Association des Physiologistes, France 2 July 1988. Proc. Physiol. Soc. J. Physiol. (Lond) pp.2P
(84) Lestienne, F, Liverneaux, Ph., Pellionisz, A. (1987) Role of the Superficial and Deep Neck Muscles in the Control of Monkey Head Movement: Application of the Tensor Analysis Approach. Soc. Neurosci. Absts. 13. V.1. p.372.
(83)Pellionisz, A. (1987) Koordináció: Túlhatározott Központi Idegrendszeri Koordinátarendszerek Vektor-Mátrix Leirása és Tenzor Megoldása a Moore-Penrose Generalizált Inverz Segítségével. Fizikai Szemle, Budapest
(82) Pellionisz, A. (1987) Tensor Network Theory of the Central Nervous System. Encyclopaedia of Neuroscience (eg. G. Adelman), Birkhauser, p. 1196-1198.
(81) Pellionisz, A. (1987) Modeling and Theory of Neurons and Network Functions, In: Proc. of the AAAS , p. 17.
(80 Pellionisz, A. (1986) Tensor Network Theory of the Central Nervous System and Sensorimotor Modeling. In: Brain Theory (eds. Palm G., & Aertsen, A.), Springer Verlag, Berlin-Heidelberg-New York, pp. 121-145
(78) Pellionisz, A. (1986) Old Dogmas & New Axioms in Brain Theory. Commentary to "Cortical Connections and Parallel Processing: Structure & Function: by D.H. Ballard". Behavioral and Brain Sciences, 9. pp. 103-104
(77) Pellionisz, AJ., Soechting, JF, Gielen, CCAM, Simpson, JI., Peterson, BW, Georgopoulos, AP. (1986) Workshop: Multidimensional Analyses of Sensorimotor Systems. Soc. Neurosci. Absts. 12, p. 1
(76) Peterson, BW. & Pellionisz, AJ. (1986) A Tensorial Model of the Kinematics of Head Movements in the Cat. Soc. Neurosci. Absts. 12, p. 684
(75) Pellionisz, A. (1986) Tensorial Relationship Found for Structural and Functional Reference Frames of Brain Function: Saccade Neurons in Monkey Utilize Frames Composed of the Eigenvectors of the Frame of Extraocular Muscles. Soc. Neurosci. Absts. 12, p. 1186
(74) Daunicht, W. & Pellionisz, A. (1986) Coordinates Intrinsic to the Semicircular Canals and the Extraocular Muscles in the Rat. Soc. Neurosci. Absts. 12, p. 1089
(73) Pellionisz, A. (1986) Tensor Model of Gaze. In: Proc. "Developments in Oculomotor Research" Gleneden Beach, Oregon, p. 52
(72) Pellionisz, A. (1986) Tensor Network Theory and its Application in Computer Modeling of the Metaorganization of Sensorimotor Hierarchies of Gaze. In: Proc. "Neuronal Networks for Computing". AIP 151, New York: American Institute of Physics. pp.339-344.
(71) Daunicht, W. & Pellionisz, A. (1986) Physical Arrangement of Extraocular Muscles in the Rat. Proc. of European Neuroscience Association
(70) Pellionisz, A. (1986) Az Agyműködés Tenzorelmélete (Tensor Theory of Brain Function). Proc. of "The Role of Hungarians in the Scientific and Technological Progress of the World", World Federation of Hungarians & Hungarian Academy of Sciences, Budapest
(69) Pellionisz, A. (1985) Tensor Theory of Brain Function and its Applications to Sensorimotor Modeling. Brain and Behaviour Report #4. Program abstracts and summary of the meeting on "Activity Patterns of Neural Populations", (eds. Johannesma, PIM., Eggermont, JJ., van Gisbergen, JAM.), Brain and Behaviour Society, Nijmegen, The Netherlands
(68) Pellionisz, A. (1985) Tensor Theory of Brain Function & its Applications to Sensorimotor Modeling. In: Proceedings of Vth Internatl. Symp. on Motor Control. 85, Varna. p. 104
(66) Pellionisz, A. (1985) Robotics Connected to Neurobiology by Tensor Theory of Brain Function. Proc.IEEE International Conf. on Systems, Man & Cybernetics. pp. 411-414
(65) Pellionisz, A. & Peterson, B.W. (1985) Tensor Models of Primary Sensorimotor Systems, such as the Vestibulo-Collic Reflex (VCR) and the Metaorganization of Hierarchically Connected Networks. Soc. Neurosci. Absts. 11. p 83 and Neck-Motor Control Systems. In: Proceedings of Annual Conference on Engineering in Medicine & Biology
(64) Peterson, B.W., Baker, J., Wickland, C. & Pellionisz, A. (1985) Relation Between Neck Muscle Pulling Directions and Activity by the VCR: Experimental Test of a Tensor Model. Soc. Neurosci. Absts. 11. p. 83
(63) Peterson, BW., Baker, J., Wickland, C., & Pellionisz, A. (1985) Sensorimotor Transformation in Oculomotor
(62) Graf, W., & Pellionisz, A. (1985) Morphology and a Tensor Network Model of the Three-Neuron Vestibulo-Ocular Reflex Arc in Cat. Soc. Neurosci. Abst. 11. p. 1041
(60) Pellionisz, A. (1985) Tensorial Brain Theory in Cerebellar Modeling. In: Cerebellar Functions (ed. Bloedel, J., Dichgans, J. & Precht, W.), Springer, Heidelberg, pp. 201-229
(59) Llinás, R. & Pellionisz, A. (1985) Cerebellar Function and the Adaptive Feature of the Central Nervous System. In: Reviews of Oculomotor Research. I. Adaptive Mechanisms in Gaze Control. (ed. by A. Berthoz and G. Melvill-Jones). Elsevier, Amsterdam, pp. 223-232
(58) Ostriker, G., Llinás, R. & Pellionisz, A. (1985) Tensorial Computer Model of Gaze. Oculomotor Activity is Expressed with Natural Non-Orthogonal Coordinates. Neuroscience. 14, pp. 483-500
(56) Ostriker, G., Pellionisz, A. & Llinás, R. (1984) Tensorial Computer Movie Display of the Metaorganization of Oculomotor Metric Network. Soc. Neurosci. Absts. 10, p. 162
(55) Pellionisz, A. (1984) Tensorial Computer Movie of the Genesis & Modification of Cerebellar Networks as Dyadic Expansions of the Eigenvectors Stored in the Inferior Olive. Soc. Neurosci. Absts. 10, p. 540
(54) Simpson, JI. & Pellionisz, A. (1984) The Vestibulo-Ocular Reflex in Rabbit as Interpreted Using the Moore-Penrose Generalized Inverse Transformation of Intrinsic Coordinates. Soc. Neurosci. Absts. 10, p. 909
(53) Llinás, R. & Pellionisz, A. (1984) La Mente in Quanto Proprieta Tensoriale dei Circuiti Cerebrali. In: Livelli di Realta, (ed. Palmarini, M.P.), Feltrinelli, Italy, pp. 191-198
(51) Pellionisz, A., Ostriker, G. & Llinás, R. (1983) Generation and Modification of Neuronal Networks Acting as Metric Tensors: A Computer Demonstration of the Process of Organizing Sensorimotor Transformations. Soc. Neurosci. Absts. 9, p. 310
(50) Pellionisz, A. (1983) Brain Theory: Connecting Neurobiology to Robotics. Tensor Analysis: Utilizing Intrinsic Coordinates to Describe, Understand and Engineer Functional Geometries to Intelligent Organisms. J. Theoret. Neurobiol. 2(3), pp. 185-211
(49) Pellionisz, A. (1983) Sensorimotor Transformations of Natural Coordinates via Neuronal Networks: Conceptual and Formal Unification of Cerebellar and Tectal Models. II. Workshop on Visuomotor Coordination in Frog and Toad. Models and Experiments. (org. by R. Lara & M. Arbib, Mexico City, 1982). COINS Techn. Report 83-19 Univ. of Massachusetts, Amherst, MA, pp. 1-20
(48) McCollum, G., Pellionisz, A. & Llinás, R. (1983) Tensorial Approach to Color Vision. J. Theoret. Neurobiol. 2(1), pp. 23-28
(47) Pellionisz, A. & Llinás, R. (1982) Tensor Theory of Brain Function. The Cerebellum as a Space-Time Metric. Chapter 23. In: Competition and Cooperation in Neural Nets. Proceedings of the US-Japan Joint Seminar, held at Kyoto, Japan (ed. by S. Amari and MA Arbib), Lecture Notes in Biomathematics #45 (managing ed. Levin, S), Springer Verlag, Berlin-Heidelberg-New York, pp. 394-417.
(46) Pellionisz, A. & Llinás, R. (1982) Space-Time Representation in the Brain. The Cerebellum as a Predictive Space-Time Metric Tensor. Neuroscience, 7, pp. 2949-2970
(45) Ostriker, G., Pellionisz, A. & Llinás, R. (1982) Tensor Network Theory Applied to the Oculomotor System. CNS Activity Expressed with Natural Non-Orthogonal Coordinates. Soc. Neurosci. Absts. 8, p. 155
(44) Malinow, R., Pellionisz, A. & Llinás, R (1982) Tensor Network Theory Providing a Paradigm for Motor Control of Posture and Movement in Multilegged Systems. Soc. Neurosci. Absts. 8, p. 283
(43) Pellionisz, A & Llinás, R (1981) Genesis and Modification of the Geometry of CNS Hyperspace. Cerebellar Space-Time Metric Tensor and "Motor Learning". Soc. Neurosci. Absts. 7, p. 641.
(42) Pellionisz, A. & Llinás, R. (1980) Tensorial Representation of Space-Time in CNS: Sensory-Motor Coordination via Distributed Cerebellar Spacetime Metric. Soc. Neurosci. Absts. 6, p. 510.
(40) Pellionisz, A. & Llinás R. (1979) Cerebellar Coordination: Covariant Analysis and Contravariant Synthesis via Metric Tensor. A Tensorial Approach to the Geometry of Brain Function. Soc. Neurosci. Absts. 5, p. 105
(39) Pellionisz, A. & Llinás R. (1979) A Note on a General Approach to the Problem of Distributed Brain Function. Matrix and Tensor Quarterly, The Journal of the Tensor & Matrix Society of Great Britain. 30, pp. 48-50
(38) Pellionisz, A. & Llinás R. (1979) The Cerebellum: A Neural System with Parallel Distributed Organization. AAAS Absts., Washington, DC., p. 54
(37) Pellionisz, A. & Llinás, R. (1979) Brain Modeling by Tensor Network Theory and Computer Simulation. The Cerebellum: Distributed Processor for Predictive Coordination. Neuroscience, 4, pp. 323-348
(36) Pellionisz, A. (1979) Modeling of Neurons and Neuronal Networks. In: The Neurosciences: IVth Study Program (eds: Schmitt, FO. & Worden, FG.) MIT Press, Boston, MA, pp. 525-546
(35) Pellionisz, A. (1979) Cerebellar Control Theory. In: Recent Developments of Neurobiology in Hungary, VIII. (ed. by Lissák, K.) Akadémiai Kiadó, Budapest pp. 211-243
(34) Pellionisz, A. & Llinás, R. (1978) A Formal Theory for Cerebellar Function: The Predictive Distributed Property of the Cortico-Nuclear Cerebellar System as Described by Tensor Network Theory and Computer Simulation. Soc. Neurosci. Absts. 4, p. 68
(33) Pellionisz, A. (1978) Synthesis of Fragmented Data on Neuronal Systems: A Computer Model of Cerebellum. In: Progress in Cybernetics and System Research. Vol. III. (ed. by Trappl, R., Klir, G.J. & Ricciardi, L.), John Wiley & Sons, New York, NY, pp. 411-427
(32) Pellionisz, A. & Llinás, R. (1977) Analysis of Anuran Vestibulo-Cerebellar Control by Computer Modeling. Soc. Neurosci. Absts. 3, p. 60
(30) Pellionisz, A., Llinás, R. & Perkel, DH. (1977) Computer Model of the Cerebellar Cortex of the Frog. Neuroscience, 2, p. 19-35
(29) Pellionisz, A. (1977) The Cerebellar Cortex as an Array of Individually Tuned Purkinje Cells Providing an Overall "Dynamic Cushioning" of Jerky Motor Commands: Demonstration of a New Concept. In: Proceedings of the Symposium "Neuron Concept Today", Tihany. (eds. Hámori, J., Vizi, E.Sz. & Szentágothai, J.), Pergamon / Akadémiai Kiadó, Budapest, p. 281
(28) Pellionisz, A. & Llinás, R. (1977) Analysis of Spatial Distribution of Purkinje Cells with Individual Dynamisms Activated by Vestibular Input: A Computer Simulation Study. In: Proceedings of the Symposium "Neuron Concept Today", Tihany. (eds. Hámori, J., Vizi, E.Sz. & Szentágothai, J.), Pergamon / Akadémiai Kiadó, Budapest, p. 282
(27) Pellionisz, A. & Llinás, R. (1977) Analysis of Simple and Complex Spike Generator Mechanism of Dendritic Trees: A Computer Model of Purkinje Cell. In: Proceedings of the Symposium "Neuron Concept Today", Tihany. (eds. Hámori, J., Vizi E.Sz., & Szentágothai J.), Pergamon / Akadémiai Kiadó, Budapest, pp. 195-202
(26) Pellionisz, A., Llinás, R. & Perkel, DH. (1977) Systematic Method for the Interpretation of Experimental Data within a Holistic Neuronal Circuitry: A Computer Model of the Cerebellum of Frog. In: Proceedings of the Symposium "Neuron Concept Today" , Tihany. (eds. Hámori, J., Vizi E.Sz., & Szentágothai, J.), Pergamon / Akadémiai Kiadó Budapest p. 276
(25) Pellionisz, A. (1976) Proposal for Shaping the Dynamism of Purkinje Cells by Climbing Fiber Activation. Brain Theory Newsletter, 2, pp. 2-6
(24) Pellionisz, A. & Llinás, R. (1976) Multikompartmentális Hodgkin-Huxley Kábelmodell a Purkinje Sejt Kúszórostjának Analízisére. Magyar Élettani Társaság 15. Vándorgyülésének Elödáskivonatai (Multicompartmental Hodgkin-Huxley Cable Model for the Analysis of the Climbing Fiber Response of Purkinje Cells. In: Proceedings of the 15th Annual Convention of the Society of Hungarian Physiologists.)
(23) Pellionisz, A. (1976) Gipotesa Plastnichnosti Dinamizma Kletok Purkinje na Mozheckovuyu Sisthemu Koordinacii Dvizheniy. (A Hypothesis for the Plasticity of Purkinje Cells in the Cerebellar System for Coordination of Movements) In: Proceedings of IXth Symposium of Intercosmos, Budapest, p. 26.
(22) Pellionisz, A. (1976) Proposal on System- and Purkinje Cell Levels for the Function of Cerebellum in Motor Control. Proceedings of the IIIrd Internatl. IUPS Symposium on Motor Control , Varna, p. 53
(21) Pellionisz, A. & Llinás, R. (1975) Simple and Complex Spike Generation in a Computer Model of Cerebellar Purkinje Cells. Soc. Neurosci. Absts, 1, p. 319.
(20) Pellionisz, A. (1974) Számítógépes Szimulációs Modellezés: A Kisagykéreg Neuronhálózatának Szimulációja. (Computer Simulation Modeling: Simulation of Cerebellar Neuronal Networks. Orvos és Technika, 2, pp. 33-47
(19) Pellionisz, A. (1974) Számítógépes Szimulációs Modellezés: A Kisagykéreg Neuronhálózatának Szimulációja. In: A Számitógépek és Orvosbiológiai Alkalmazásuk. (Computer Simulation Modeling: Simulation of Cerebellar Neuronal Networks. In: Computers and their Use in Medical Biology), (Ed. by Fedina, L.), Semmelweis Orvostudományi Egyetem, Budapest, pp. 198-212
(18) Pellionisz, A. & Szentágothai, J. (1974) Dynamic Single Unit Simulation of a Realistic Cerebellar Network Model. II. Purkinje Cell Activity within the Basic Circuit and Modified by Inhibitory Systems. Brain Research, 68, pp. 19-40
(17) Pellionisz, A. (1973) Kisagykérgi Ideghálózatok Strukturo-Funkcionális Elemzése a Számítógépes Szimuláció Módszerével. Kandidátusi Értekezés. (Structuro-Functional Analysis of Cerebellar Neuronal Networks by the Use of Computer Simulation Methods., Ph.D. Thesis, Advisor: J.Szentágothai), Hungarian Academy of Sciences, Budapest, pp. 1-107
(17b) Pellionisz, A. (1973) A számítógépek és orvos-biológiai alkalmazásuk. Biológiai rendszerek szimulációja. Orvos és Technika, pp.22-38
(16) Szentágothai, J. & Pellionisz, A. (1973) A Quantitative Approach to Cerebellar Cortex Histology and its Significance for Computer Studies of the Cerebellar Neuron Network. Proceedings of the IVth Internatl. Conference: de la Physique Theorique a la Biologie, Versailles, France
(15) Pellionisz, A., Palkovits, M., Hámori, J. Pintér, E. & Szentágothai, J. (1973) Quantitative Comparison of the Cerebellar Synaptic Organization of Immobilized and Normal Kittens. In: International Union for Pure & Applied Biophysics: IVth International Biophysics Congress Symposium Papers 3, Puschino, pp. 381-384
(13) Pellionisz, A. & Szentágothai, J. (1973) Computer Simulation of the Cerebellar Neuronal Network: Cinematized Cerebellar Activity Model. In: International Union for Pure and Applied Biophysics: IVth International. Biophysics Congress. Symposium Papers. 4 (1), Puschino, pp. 61-62
(12) Pellionisz, A. (1972) Computer Simulation of the Cerebellar Cortex. Acta Cybernetica, 1, p. 287
(11) Pellionisz, A. (1972) Számítógéppel Készült Szimulációs Film Kisagykérgi Neuronhálózatok Müködésének Modellezésére. In: Számítástechnikai és Kibernetikai Módszerek Alkalmazása az Orvostudományban és Biológiában c. III. Kollokvium Kiadványa. (Computerized Movie Display for Simulation of Neuronal Circuits of Cerebellum. In: Proceedings of the IIIrd Colloquium on Computers and Cybernetics in Biology and Medicine), Szeged, pp. 15-23
(10) Pellionisz, A. (1972) Modelirovanie Predvaritelnoj Obrabotki Nervnoj Informacii Postupajuschei v Koru Mozecka s Pomoschu Vucislitelnih Mashin. (Modeling of the Processing of Information Arriving at the Cerebellar Cortex by Use of Digital Computer). Acta Cybernetica, 1, p. 280
(9) Pellionisz, A. (1972) Computer Simulation of the Information Preprocessing in the Input of the Cerebellar Cortex. Acta Cybernetica 1, pp. 157-169
(8) Pellionisz, A. (1971) Számítógépek az Orvosbiológiai Kutatásban. In: Számítógép Alkalmazási Területek és Lehetöségek az Orvostudományban (ed. by B. Kanyár) (Computers in Biomedical Research. In: Fields and Possibilities for Use of Computers in Medicine). Semmelweis Orvostudományi Egyetem, Budapest, pp. 84-108
(7) Pellionisz, A. (1971) A Kisagykéreg Működésének Számítógépes Szimulációja. In: Magyar Anatómusok, Hisztológusok és Embriológusok Társasága Kongresszusának Kiadványa (Computer Simulation of the Cerebellar Cortex. In: Proceedings of the Congress of Hungarian Anatomists, Histologists and Embryologists). Pécs, p. 26
(6) Pellionisz, A. (1971) A Kisagykéreg Működésének Számítógépes Szimulációja. In:Számítástechnikai és Kibernetikai Módszerek Alkalmazása az Orvostudományban és Biológiában c. III. Kollokvium Kiadványa. (Computer Model of the Cerebellar Neuronal Network. In: Proceedings of the IIIrd Colloquium on Computers and Cybernetics in Biology and Medicine), Szeged, pp. 63-78
(4) Pellionisz, A. (1970) Modelirovanie Neironuh Shetej Mozhechka pri Ispholzovanii Vicislitelhih Mashini. (Computer Modeling of Cerebellar Neuronal Nets), In: Proceedings of the International Conference on Mathematical Modeling, Varna
(1) Pellionisz, A. (1967) Neuron Modellezés. Diplomaterv. Budapest Műszaki Egyetem Folyamatszabályozási Tanszék (Neuronal Modeling. MSEE Thesis, Advisor: J. Szentágothai, Dept. of Process Control and Automation, Univ. Technology, Budapest), pp. 1-74
