Thomas J. Richardson - (Some) Publications

Codes
  1. Design of Provably Good Low-Density Parity Check Codes,
    Thomas Richardson, Amin Shokrollahi and Rudiger Urbanke, submitted IEEE Transactions on Information Theory .
  2. Exact Thresholds and Optimal Codes for the Binary Symmetric Channel and Gallager's Decoding Algorithm A
    Louay Bazzi, Thomas Richardson, and Rudiger Urbanke, submitted IEEE Transactions on Information Theory .
  3. The Capacity of Low-Density Parity Check Codes under Message-Passing Decoding
    T. Richardson and R. Urbanke, submitted to IEEE Trans. on Information Theory.
  4. The Geometry of Turbo-Decoding Dynamics
    T. Richardson, to appear in IEEE Trans. on Information Theory.
  5. Systematic Design of Unitary Space-Time Constellations
    B.M. Hochwald,T.L. Marzetta,T.J. Richardson,W. Sweldens, and R. Urbanke, submitted to IEEE Transactions on Information Theory.
  6. Concentrate
    T. Richardson and R. Urbanke, 1999 Allerton Conference Proceedings.
  7. Efficient Encoding of Low Density Parity Check Codes
    T. Richardson and R. Urbanke, submitted to IEEE Transactions on Information Theory.
  8. Mulitple-Antenna Signal Constellations for Fading Channels
    D. Agrawal, T. Richardson, and R. Urbanke, submitted to IEEE Transactions on Information Theory.
  9. Reduced Peak Power Requirements in FDM and Related Systems
    R. Laroia, T. Richardson, and R. Urbanke, submitted to IEEE Transactions on Information Theory.
Geometry
  1. The Point Goalie Problem,
    Richardson, T.J., Shepp, L., submitted
  2. Epi-Convergence of Discrete Elastica,
    Bruckstein, A.M., Netravali, A.N., Richardson, T.J., submitted
  3. Total Curvature and Intersection Tomography,,
    Richardson, T.J., Advances in Mathematics, 130(1) pp. 1-32 (1997).
  4. Approximation of Planar Convex Sets from Hyperplane Probes,
    Richardson, T.J., Discrete and Computational Geometry, 18 pp. 151-177 (1997).
  5. Convexity and the Average Curvature of Plane Curves,
    Lagarias, J.C., and Richardson, T.J., Geometriae Dedicata, 67, pp. 1-30 (1997).
  6. Planar Rectifiable Curves are Determined by their Projections,
    Richardson, T.J., Discrete and Computational Geometry, 16 pp. 21-31 (1996).
  7. Invariant Signatures for Planar Shape Recognition under Partial Occlusion,
    Bruckstein A.M., Holt R.J., Netravali A.N., and Richardson, T.J., CVGIP: Image Understanding 58(1), pp. 49-65, July, (1993).
Learning, Neural Nets
  1. Mimimax and Hamiltonian dynamics of excitatory-inhibitory networks,
    Seung, H.S., Richardson, T.J., Lagarias, J.C., Hopfield, J.J. Advances in Neural Information Processing Systems, 10 pp. 329-35 (1998).
  2. A Metric Entropy Bound is not Sufficient for Learnability,
    Dudley, R.M., Kulkarni, S.R., Richardson, T.J., and Zeitouni, O., IEEE Trans. on Information Theory, July, (1994).
  3. Local versus Non-Local Computation of Length of Digitized Curves,
    S.R. Kulkarni, S.K. Mitter, T.J. Richardson, and J.N. Tsitsiklis, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 16, No. 7, July 1994.
Other
  1. Multivariate Descartes Rules of Signs and Sturmfels's Challenge Problem,
    Lagarias, J.C., Richardson, T.J., The Mathematical Intelligencer, 19(3) pp. 9-15 (1997).