Published Papers in Neural Networks, Complexity & related fields
Last updated: 5 April 2019 at 15:53:34 CEST

G. R. Aiello et al.: Hardware Implementation of a GFSR
PseudoRandom Number Generator, Computer Physics
Communication 56 (1989) pp. 135139, Amsterdam (NL);

G. R. Aiello et al.: A Parallel Processor for the Simulation of Ising
Spin Systems, Computer Physics Communication 56 (1989) pp.
141146, Amsterdam (NL);

M. Budinich and E. Milotti: FeedForward Neural Networks: a
Geometrical Perspective [Abstract & full text],
Journal of Physics A: Mathematical and
General 24 (1991) pp. 881888, London (GB);

M. Budinich: On Linear Separability of Random Subsets of Hypercube
Vertices [Abstract & full text],
Journal of Physics A: Mathematical and General 24 (1991)
pp. L211L213, London (GB);

M. Budinich and E. Milotti: Geometrical Interpretation of the
BackPropagation Algorithm for the Perceptron, Physica A 185.(14)
(1992) pp. 369377, Amsterdam (NL);

M. Budinich and E. Milotti: Properties of FeedForward Neural
Networks [Abstract & full text],
Journal of Physics A: Mathematical and General 25 (1992)
pp. 19031914, London (GB);

M. Budinich: Some Notes on Perceptron Learning
[Abstract & full text], Journal of Physics
A: Mathematical and General 26 (1993) pp. 42374247, London (GB);

M. Budinich and J. G. Taylor:
On the Ordering Conditions for SelfOrganising Maps [Abstract];
Neural Computation 7 #2 (March 1995),
pp. 284289, Massachussets (U.S.A.);

M. Budinich:
Sorting with Self Organising Maps [Abstract];
Neural Computation 7 #6 (November 1995), pp. 11881190, Massachussets (U.S.A.);

M. Budinich: Neural Networks for the Travelling Salesman Problem,
Journal of Artificial Neural Networks 2 #4, (1995) pp. 431435;

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. 171174;

M. Budinich: A SelfOrganising Neural Network for the Travelling
Salesman Problem that is Competitive with Simulated Annealing;
[Abstract & full text]
Neural Computation 8 #2 (February 1996), pp. 416424;

M. Budinich:
Neural Networks for NPComplete Problems [Abstract],
Nonlinear Analysis, Theory, Methods & Applications, 30 (3) 1997 pp.
16171624 (invited talk at the 2nd World Congress of Nonlinear Analysts,
1017 July 1996, Athens, Greece;

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), 37 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 0792399331) pp. 134139;

M. Budinich and R. Frison: Adaptive Calibration of Imaging Array Detectors
[Abstract & full text];
Neural Computation 11 #6 (August 1999), pp. 12811296;

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),
DingZhu Du and Panos M. Pardalos Editors,
Kluwer Academic Publishers, October 1999, pp. 656.

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 #13 (25 September 2002), pp. 2749;

M. Budinich: Bounds on the Maximum Clique of a Graph
[Abstract & full text],
Discrete Applied Mathematics 127 #3 (1 May 2003), pp. 535543;

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:mathph/0603068v1;

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 [mathph]);

M. Budinich: The Extended Fock Basis of Clifford Algebra,
[Abstract & full text],
Advances in Applied Clifford Algebra 22 #2, (2012), pp. 283296; (also:
DOI:10.1007/s0000601103162,
arXiv:1006.1616v2 [mathph]);

E. Benedetti and M. Budinich: Neural Relax,
[Abstract & full text],
Neural Computation 24 #11 (November 2012) pp. 30913110, Massachussets (U.S.A.);
(also: DOI:10.1162/NECO_a_00359, arXiv:1107.5472v2 [physics.compph]);

M. Budinich: On Spinors and Null Vectors,
[Abstract & full text],
Journal of Physics A: Mathematical and Theoretical 47 #11 (March 2014) 115201;
(also: doi:10.1088/17518113/47/11/115201, arXiv:1208.0881 [mathph]);

M. Budinich: On Spinors of Zero Nullity,
[Abstract & full text],
Advances in Applied Clifford Algebra 25 #4, (2015), pp. 771786; (also:
DOI:10.1007/s0000601505478,
arXiv:1405.7239 [mathph]);

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 [mathph]);

M. Budinich: On Clifford Algebras and binary integers,
[Abstract & full text],
Advances in Applied Clifford Algebra 27 #2, (2017), pp. 10071017; (also:
DOI:10.1007/s0000601607351,
arXiv:1605.07062 [mathph]);

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 [mathph]);

M. Budinich: The Transformation of Spinors,
[Abstract & full text],
Journal of Physics: Conference Series 845, 012031, 2017 (also doi: 10.1088/17426596/845/1/012031);

M. Budinich: Clifford algebra as a bridge between discrete and continuous worlds,
[Abstract], Advances in Applied Clifford Algebra
(2018) 28:67, DOI:10.1007/s0000601808845;

M. Budinich: On complex representations of Clifford algebra,
[Abstract],
Advances in Applied Clifford Algebra
29:18 (2019); (also:
doi: 10.1007/s0000601809303,
arXiv:1805.03126 [mathph]);

M. Budinich: The Boolean SATisfiability Problem and the orthogonal group O(n),
[Abstract],
arXiv:1904.02629 [mathph].
Recent Conference Papers & the like

M. Budinich and P. Budinich: The Maximum Clique Problem in Spinorial Form,
Sixth International Conference of the Balkan Physical Union  BPU6,
Istanbul, Turkey, 2226 August 2006, AIP Conference Proceedings 899,
April 2007, p. 355356 [Abstract & full text];

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];

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 1520, 2011, [Abstract & full text];

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 69, 2016, [Abstract & full text];

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 711, 2017, [Abstract];

M. Budinich: The SATisfiability problem in spinorial form, contributed paper to:
XXIII National Conference on Statistical Physics and Complex Systems, Parma, June 2022, 2018, [Abstract].
For any problem do not hesitate to send me an email > marco.budinich_AT_ts.infn.it.
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