Xue-Bin Liang,
``An algebraic, analytic, and algorithmic investigation on the capacity and capacity-achieving input probability distributions of finite-input--finite-output discrete memoryless channels,''
IEEE Transactions on Information Theory,
vol. 54, no. 3, pp. 1003-1023, March 2008.
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CORRECTION:
2006
Xue-Bin Liang,
``Matrix games in the multicast networks: Maximum information flows with network switching,''
IEEE Transactions on Information Theory,
vol. 52, no. 6, pp. 2433-2466, June 2006.
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2005
Xue-Bin Liang and Xiang-Gen Xia,
``Fast differential unitary space-time demodulation via square orthogonal designs,"
IEEE Transactions on Wireless Communications,
vol. 4, no. 4, pp. 1331-1336, July 2005.
&
Xue-Bin Liang,
``A complex orthogonal space-time block code for 8 transmit antennas,''
IEEE Communications Letters,
vol. 9, no. 2, pp. 115-117, February 2005.
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2003
Xue-Bin Liang and Xiang-Gen Xia,
``On the nonexistence of rate-one generalized complex orthogonal designs,''
IEEE Transactions on Information Theory,
vol. 49, no. 11, pp. 2984-2989, November 2003.
&
Xue-Bin Liang,
``Orthogonal designs with maximal rates,''
IEEE Transactions on Information Theory,
vol. 49, no. 10, pp. 2468-2503, October 2003.
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COMPUTER PROGRAM
(developed and provided by Claudio Iombo in April 2007 when he was a graduate student at LSU/ECE)
Xue-Bin Liang,
``A high-rate orthogonal space-time block code,''
IEEE Communications Letters,
vol. 7, no. 5, pp. 222-223, May 2003.
&
2002
Xue-Bin Liang and Xiang-Gen Xia,
``Unitary signal constellations for differential space-time modulation
with two transmit antennas: Parametric codes, optimal designs, and bounds,''
IEEE Transactions on Information Theory,
vol. 48, no. 8, pp. 2291-2322, August 2002.
&
Xue-Bin Liang and Shiu Kit Tso,
``An improved upper bound on step-size parameters of
discrete-time recurrent neural networks for linear
inequality and equation system,''
IEEE Transactions on Circuits and Systems-I:
Fundamental Theory and Applications,
vol. 49, no. 5, pp. 695-698, May 2002.
&
Xue-Bin Liang,
``On the analysis of a recurrent neural network
for solving nonlinear monotone variational inequality problems,''
IEEE Transactions on Neural Networks,
vol. 13, no. 2, pp. 481-486, March 2002.
&
Xue-Bin Liang,
``Effect of transmission delay on the rate of convergence
of a class of nonlinear contractive dynamical systems,''
IEEE Transactions on Neural Networks,
vol. 13, no. 1, pp. 244-248, January 2002.
&
2001
Xue-Bin Liang,
``Qualitative analysis of a recurrent neural network
for nonlinear continuously differentiable convex minimization
over a nonempty closed convex subset,''
IEEE Transactions on Neural Networks,
vol. 12, no. 6, pp. 1521-1525, November 2001.
&
Xue-Bin Liang,
``A recurrent neural network
for nonlinear continuously differentiable optimization
over a compact convex subset,''
IEEE Transactions on Neural Networks,
vol. 12, no. 6, pp. 1487-1490, November 2001.
&
Xue-Bin Liang and Jun Wang,
``An additive diagonal-stability condition for
absolute exponential stability of a general class of neural networks,''
IEEE Transactions on Circuits and Systems-I:
Fundamental Theory and Applications,
vol. 48, no. 11, pp. 1308-1317, November 2001.
&
Xue-Bin Liang,
``A complete proof of global exponential convergence
of a neural network for quadratic optimization with bound constraints,''
IEEE Transactions on Neural Networks,
vol. 12, no. 3, pp. 636-639, May 2001.
&
Xue-Bin Liang and Jennie Si,
``Global exponential stability of neural networks with
globally Lipschitz continuous activations and its application to
linear variational inequality problem,''
IEEE Transactions on Neural Networks,
vol. 12, no. 2, pp. 349-359, March 2001.
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2000
Xue-Bin Liang,
``A comment on `On equilibria, stability, and instability of Hopfield neural networks',''
IEEE Transactions on Neural Networks,
vol. 11, no. 6, pp. 1506-1507, November 2000.
&
Xue-Bin Liang and Jun Wang,
``A recurrent neural network for nonlinear optimization with
a continuously differentiable objective function
and bound constraints,''
IEEE Transactions on Neural Networks,
vol. 11, no. 6, pp. 1251-1262, November 2000.
&
Xue-Bin Liang,
``Equivalence between local exponential stability
of the unique equilibrium point
and global stability
for Hopfield-type neural networks
with two neurons,''
IEEE Transactions on Neural Networks,
vol. 11, no. 5, pp. 1194-1196, September 2000.
&
Xue-Bin Liang and Jun Wang,
``Absolute exponential stability of
neural networks with a general class of
activation functions,''
IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications,
vol. 47, no. 8, pp. 1258-1263, August 2000.
&
Xue-Bin Liang and Jun Wang,
``A proof of Kaszkurewicz and Bhaya's
conjecture on absolute stability of neural networks in two-neuron case,''
IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications,
vol. 47, no. 4, pp. 609-611, April 2000.
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1999
Xue-Bin Liang and Li-De Wu,
``Global exponential stability of a class of neural circuits,''
IEEE Transactions on Circuits and Systems-I:
Fundamental Theory and Applications,
vol. 46, no. 6, pp. 748-751, June 1999.
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1998
Xue-Bin Liang and Li-De Wu,
``A simple proof of a necessary and sufficient condition for absolute
stability of symmetric neural networks,''
IEEE Transactions on Circuits and Systems-I:
Fundamental Theory and Applications,
vol. 45, no. 9, pp. 1010-1011, September 1998.
&
Xue-Bin Liang and Li-De Wu,
``A comment on `Comments on `Necessary and sufficient condition for
absolute stability of neural networks' ',''
IEEE Transactions on Circuits and Systems-I:
Fundamental Theory and Applications,
vol. 45, no. 5, p. 594, May 1998.
&
Xue-Bin Liang and Li-De Wu,
``New sufficient conditions for absolute stability of neural networks,''
IEEE Transactions on Circuits and Systems-I:
Fundamental Theory and Applications,
vol. 45, no. 5, pp. 584-586, May 1998.
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1997
Xue-Bin Liang and Li-De Wu,
``Comments on `New conditions for global stability of neural networks with
application to linear and quadratic programming problems',''
IEEE Transactions on Circuits and Systems-I:
Fundamental Theory and Applications,
vol. 44, no. 11, pp. 1099-1101, November 1997.
&
Xue-Bin Liang and Li-De Wu,
``On an open problem related to the strict local minima of multilinear
objective functions,''
IEEE Transactions on Automatic Control,
vol. 42, no. 11, pp. 1564-1566, November 1997.
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