Published Papers in Neural Networks, Complexity & related fields
												Last updated: 5 April 2019 at 15:53:34 CEST
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    G. R. Aiello et al.: Hardware Implementation of a GFSR 
    Pseudo-Random Number Generator, Computer Physics 
    Communication 56 (1989) pp. 135-139, Amsterdam (NL);
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    G. R. Aiello et al.: A Parallel Processor for the Simulation of Ising 
    Spin Systems, Computer Physics Communication 56 (1989) pp. 
    141-146, Amsterdam (NL);
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    M. Budinich and E. Milotti: Feed-Forward Neural Networks: a 
    Geometrical Perspective [Abstract & full text],
    Journal of Physics A: Mathematical and 
    General 24 (1991) pp. 881-888, London (GB);
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    M. Budinich: On Linear Separability of Random Subsets of Hypercube 
    Vertices [Abstract & full text],
    Journal of Physics A: Mathematical and General 24 (1991) 
    pp. L211-L213, London (GB);
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    M. Budinich and E. Milotti: Geometrical Interpretation of the 
    Back-Propagation Algorithm for the Perceptron, Physica A 185.(1-4)
    (1992) pp. 369-377, Amsterdam (NL);
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    M. Budinich and E. Milotti: Properties of Feed-Forward Neural 
    Networks [Abstract & full text],
    Journal of Physics A: Mathematical and General 25 (1992) 
    pp. 1903-1914, London (GB);
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    M. Budinich: Some Notes on Perceptron Learning
    [Abstract & full text], Journal of Physics 
    A: Mathematical and General 26 (1993) pp. 4237-4247, London (GB);
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    M. Budinich and J. G. Taylor: 
    On the Ordering Conditions for Self-Organising Maps [Abstract];
    Neural Computation 7 #2 (March 1995),
    pp. 284-289, Massachussets (U.S.A.);
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    M. Budinich: 
    Sorting with Self Organising Maps [Abstract];
    Neural Computation 7 #6 (November 1995), pp. 1188-1190, Massachussets (U.S.A.);
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    M. Budinich: Neural Networks for the Travelling Salesman Problem,
    Journal of Artificial Neural Networks 2 #4, (1995) pp. 431-435;
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    M. Budinich, B. Graham and D. Willshaw: Multiple Cueing of an
    Associative Net [Full text]; International Journal of Neural Systems, 6
    (supplementary issue), (1995) pp. 171-174;
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    M. Budinich: A Self-Organising Neural Network for the Travelling
    Salesman Problem that is Competitive with Simulated Annealing;
    [Abstract & full text]
    Neural Computation 8 #2 (February 1996), pp. 416-424;
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    M. Budinich: 
    Neural Networks for NP-Complete Problems [Abstract],
    Nonlinear Analysis, Theory, Methods & Applications, 30 (3) 1997 pp.
    1617-1624 (invited talk at the 2nd World Congress of Nonlinear Analysts,
    10-17 July 1996, Athens, Greece;
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    M. Budinich and B. Rosario: A Neural Network for the Travelling Salesman Problem
    with a Well Behaved Energy Function,[Abstract & full text] contributed paper to: 1st International
    Conference Mathematics of Neural Networks and Application (MANNA), 3-7 July 1995,
    Lady Margaret Hall, Oxford, U.K., in: Ellacott, S.W., Mason, J.C. And Anderson I.J.
    (editors) Mathematics of Neural Networks: Models, Algorthms and Applications,
    Kluwer Academic Publishers, Boston 1997 (ISBN 0-7923-9933-1) pp. 134-139;
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    M. Budinich and R. Frison: Adaptive Calibration of Imaging Array Detectors
    [Abstract & full text];
    Neural Computation 11 #6 (August 1999), pp. 1281-1296;
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	I.M. Bomze, M. Budinich, P.M. Pardalos and M. Pelillo, The Maximum Clique Problem
	[Abstract & full text],
	Handbook of Combinatorial Optimization (Supp. Vol. A),
	Ding-Zhu Du and Panos M. Pardalos Editors,
	Kluwer Academic Publishers, October 1999, pp. 656.
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	I.M. Bomze, M. Budinich, M. Pelillo and C. Rossi, Annealed Replication: A New Heuristic
	for the Maximum Clique Problem [Abstract & full text],
	Discrete Applied Mathematics 121 #1-3 (25 September 2002), pp. 27-49;
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    M. Budinich: Bounds on the Maximum Clique of a Graph
    [Abstract & full text],
    Discrete Applied Mathematics 127 #3 (1 May 2003), pp. 535-543;
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    M. Budinich and P. Budinich: A Spinorial Formulation of the Maximum Clique Problem of a Graph
    [Abstract & full text],
    Journal of Mathematical Physics 47 #4, 043502, April 2006,
    DOI: 10.1063/1.2186256,
    arXiv:math-ph/0603068v1;
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    M. Budinich: On Computational Complexity of Clifford Algebra
    [Abstract & full text],
    Journal of Mathematical Physics 50 #5, 053514, 18 May 2009
    (also: DOI: 10.1063/1.3133042,
    arXiv:0904.0417v1 [math-ph]);
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    M. Budinich: The Extended Fock Basis of Clifford Algebra,
    [Abstract & full text],
    Advances in Applied Clifford Algebra 22 #2, (2012), pp. 283-296; (also: 
    DOI:10.1007/s00006-011-0316-2,
    arXiv:1006.1616v2 [math-ph]);
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    E. Benedetti and M. Budinich: Neural Relax,
    [Abstract & full text],
    Neural Computation 24 #11 (November 2012) pp. 3091-3110, Massachussets (U.S.A.);
    (also: DOI:10.1162/NECO_a_00359, arXiv:1107.5472v2 [physics.comp-ph]);
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    M. Budinich: On Spinors and Null Vectors,
    [Abstract & full text],
    Journal of Physics A: Mathematical and Theoretical 47 #11 (March 2014) 115201;
    (also: doi:10.1088/1751-8113/47/11/115201, arXiv:1208.0881 [math-ph]);
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    M. Budinich: On Spinors of Zero Nullity,
    [Abstract & full text],
    Advances in Applied Clifford Algebra 25 #4, (2015), pp. 771-786; (also: 
    DOI:10.1007/s00006-015-0547-8,
    arXiv:1405.7239 [math-ph]);
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    M. Budinich: On Spinors Transformations,
    [Abstract & full text],
    Journal of Mathematical Physics 57 #7, 071703, 2016
    (also DOI: 10.1063/1.4959531,
    arXiv:1603.02181 [math-ph]);
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    M. Budinich: On Clifford Algebras and binary integers,
    [Abstract & full text],
	Advances in Applied Clifford Algebra 27 #2, (2017), pp. 1007-1017; (also: 
    DOI:10.1007/s00006-016-0735-1,
	arXiv:1605.07062 [math-ph]);
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    M. Budinich: The Boolean SATisfiability Problem in Clifford algebra,
    [Abstract & full text],
    Theoretical Computer Science 2019,
	(also: doi: 10.1016/j.tcs.2019.03.027, 
	arXiv:1704.02942v3 [math-ph]);
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    M. Budinich: The Transformation of Spinors,
    [Abstract & full text],
    Journal of Physics: Conference Series 845, 012031, 2017 (also doi: 10.1088/1742-6596/845/1/012031);
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    M. Budinich: Clifford algebra as a bridge between discrete and continuous worlds,
    [Abstract], Advances in Applied Clifford Algebra
    (2018) 28:67, DOI:10.1007/s00006-018-0884-5;
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    M. Budinich: On complex representations of Clifford algebra,
    [Abstract],
	Advances in Applied Clifford Algebra
	29:18 (2019); (also: 
    doi: 10.1007/s00006-018-0930-3,
	arXiv:1805.03126 [math-ph]);
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     M. Budinich: The Boolean SATisfiability Problem and the orthogonal group O(n),
    [Abstract],
	arXiv:1904.02629 [math-ph]. M. Budinich: The Boolean SATisfiability Problem and the orthogonal group O(n),
    [Abstract],
	arXiv:1904.02629 [math-ph].
Recent Conference Papers & the like
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    M. Budinich and P. Budinich: The Maximum Clique Problem in Spinorial Form,
    Sixth International Conference of the Balkan Physical Union - BPU6,
    Istanbul, Turkey, 22-26 August 2006, AIP Conference Proceedings 899,
    April 2007, p. 355-356 [Abstract & full text];
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    M. Budinich: On the Transfer Functions for Complex Neurons, paper submitted to:
    International Conference on Artificial Neural Networks - ICANN 2007,
    Porto, Portugal, 9 - 13 September 2007 [Abstract & full text];
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    M. Budinich: The Extended Fock Basis of Clifford Algebra, contributed paper to:
    The 9th International Conference on Clifford Algebras and their Applications (ICCA9), Weimar (Germany), July 15-20, 2011, [Abstract & full text];
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    M. Budinich: On Spinors Transformations, invited paper to:
    The 10th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields, Ljubljana (Slovenia), June 6-9, 2016, [Abstract & full text];
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    M. Budinich: Clifford algebra as a bridge between discrete and continuous worlds, invited plenary talk to:
    11th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA11), Ghent (Belgium), August 7-11, 2017, [Abstract];
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    M. Budinich: The SATisfiability problem in spinorial form, contributed paper to:
    XXIII National Conference on Statistical Physics and Complex Systems, Parma, June 20-22, 2018, [Abstract].
For any problem do not hesitate to send me an e-mail --> marco.budinich_AT_ts.infn.it.
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