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- David Saad
- 2002

Several problems in statistical physics, information sciences or neural computing require probabilistic modeling of multivariable systems composed of a large number of variables. Typically, the exactâ€¦ (More)

- Jack Raymond, David Saad
- ArXiv
- 2007

Sparse Code Division Multiple Access (CDMA), a variation on the standard CDMA method in which the spreading (signature) matrix contains only a relatively small number of non-zero elements, isâ€¦ (More)

â€“ We employ two different methods, based on belief propagation and TAP, for decoding corrupted messages encoded by employing Sourlasâ€™s method, where the code word comprises products of K bitsâ€¦ (More)

- Renato Vicente, David Saad, Yoshiyuki Kabashima
- Physical review. E, Statistical physics, plasmasâ€¦
- 1999

We investigate the performance of parity check codes using the mapping onto Ising spin systems proposed by Sourlas [Nature (London) 339, 693 (1989); Europhys. Lett. 25, 159 (1994)]. We study codesâ€¦ (More)

- StÃ©phane Bounkong, BorÃ©mi Toch, David Saad, David Lowe
- Journal of Machine Learning Research
- 2003

We present a domain-independent ICA-based approach to watermarking. This approach can be used on images, music or video to embed either a robust or fragile watermark. In the case of robustâ€¦ (More)

â€“ We investigate the performance of error-correcting codes, where the code word comprises products of K bits selected from the original message and decoding is carried out utilizing a connectivityâ€¦ (More)

- K. Y. Michael Wong, David Saad
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2006

We study the equilibrium states of energy functions involving a large set of real variables, defined on the links of sparsely connected networks, and interacting at the network nodes, using theâ€¦ (More)

- Jort van Mourik, David Saad
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

The problem of vertex coloring in random graphs is studied using methods of statistical physics and probability. Our analytical results are compared to those obtained by exact enumeration and Monteâ€¦ (More)

- Jason A. S. Freeman, David Saad
- Neural Computation
- 1997

An analytic investigation of the average case learning and generalization properties of radial basis function (RBFs) networks is presented, utilizing online gradient descent as the learning rule. Theâ€¦ (More)

- Kazutaka G. Nakamura, Yoshiyuki Kabashima, Robert Morelos-Zaragoza, David Saad
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

We investigate the use of Gallager's low-density parity-check (LDPC) codes in a degraded broadcast channel, one of the fundamental models in network information theory. Combining linear codes is aâ€¦ (More)