Dr. Chao Tian

Publications

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Selected Journal Publications

R.-D. Zhou, C. Tian, and T. Liu, “Exactly tight information-theoretic generalization error bound for the quadratic Gaussian problem,” IEEE Journal on Selected Areas in Information Theory (JSAIT), Vol. 5, pp. 94-104, Mar. 2024.
R.-D. Zhou, C. Tian, H. Sun, and T. Liu, “Capacity-achieving private information retrieval codes from MDS-coded databases with minimum message size,” IEEE Trans. Inform. Theory, Vol. 66, No. 8, pp. 4904-4916, Aug. 2020. (2020-2021 IEEE Data Storage Best Student Paper Award).
J. Li, X.-H. Tang, and C. Tian, “A generic transformation to enable optimal repair in MDS codes for distributed storage systems,” IEEE Trans. Inform. Theory, Vol. 64, No. 9, pp. 6257-6267, Sep. 2018; conference version (IEEE Jack Wolf ISIT Best Student Paper Award (to Jie Li)).
C. Tian, “Characterizing the rate-region of the (4,3,3) exact-repair regenerating codes,” IEEE Journal on Selected Areas in Communications, Vol. 32, No. 5, pp. 967-975, May 2014 (2014 IEEE Data Storage Best Paper Award).

Selected Conference Publications

M.-Z. Fan, R.-D. Zhou, C. Tian, X.-N. Qian, “Path-guided particle-based sampling,” 2024 International Conference on Machine Learning (ICML), accepted (acceptance rate: 27.5%).
Y.-N. You, R.-D. Zhou, J. Park, H. Xu, C. Tian, Z.-Y. Wang, and Y. Shen, “Latent 3D graph diffusion,” 2024 International Conference on Learning Representations (ICLR), accepted (acceptance rate: 31%).
M. Cheng, R.-D. Zhou, C. Tian, and P. R. Kumar, “Provable policy gradient methods for average-reward Markov potential games,” 2024 International Conference on Artificial Intelligence and Statistics (AISTATS) (acceptance rate: 27.6%).
R.-D. Zhou, T. Liu, M. Cheng, D. Kalathil, P.R. Kumar, C. Tian, “Natural actor-critic for robust reinforcement learning with function approximation,” Thirty-seventh Annual Conference on Neural Information Processing Systems (NeurIPS 2023), Dec. 2023 (acceptance rate: 26.1%).
L. Fan, R.-D. Zhou, C. Tian, and C. Shen, “Federated linear bandits with finite adversarial actions,” Thirty-seventh Annual Conference on Neural Information Processing Systems (NeurIPS 2023), Dec. 2023 (acceptance rate: 26.1%).
R.-D. Zhou, T. Liu, D. Kalathil, P.R. Kumar, C. Tian, “Anchor-changing regularized natural policy gradient for multi-objective reinforcement learning,” Thirty-sixth Annual Conference on Neural Information Processing Systems (NeurIPS 2022), Dec. 2022 (acceptance rate: 25.6%).
R.-D. Zhou and C. Tian, “Approximate top-m arm identification with heterogeneous reward variances,” 2022 International Conference on Artificial Intelligence and Statistics (AISTATS), Mar. 2022 (acceptance rate: 29.2%).
T. Liu, R.-D. Zhou, D. Kalathil, P.R. Kumar, C. Tian, “Learning policies with zero or bounded constraint violation for constrained MDPs,” Thirty-fifth Annual Conference on Neural Information Processing Systems (NeurIPS 2021), Dec. 2021 (acceptance rate: 26%).
T.-L. Zhou and C. Tian, “Fast erasure coding for data storage: A comprehensive study of the acceleration techniques,” the 17th USENIX Conference on File and Storage Technologies (FAST ’19), Feb. 2019 (acceptance rate: 18%); source code repository.
V. Aggarwal, C. Tian, V. Vaishampayan, Y.-F. Chen, “Distributed data storage systems with opportunistic repair,” IEEE Infocom, Toronto, Canada, Apr. 2014 (acceptance rate: 19.4%).

Edited Book and Monograph

1. S. Avestimehr, S. N. Diggavi, C. Tian, and D. N. S. Tse, “An approximation approach to network information theory,” Foundations and Trends in Communications and Information Theory, Vol. 12, No. 1-2, pp. 1-183, Sep. 2015.
2. Information Theory and Machine Learning, MDPI, 2022, L. Zheng and C. Tian (Eds.)

Recent Journal Publications

65. S. Majumder, L. Dong, F. Doudi, Y.-T Cai, C. Tian, D. Kalathil, K. Ding, A. A. Thatte, N. Li, and L. Xie, “Exploring the capabilities and limitations of large language models in the electric energy sector,” Joule, Vol. 8, No. 6, pp. 1544-1549, Jun. 2024.
64. R.-D. Zhou, C. Tian, and T. Liu, “Exactly tight information-theoretic generalization error bound for the quadratic Gaussian problem,” IEEE Journal on Selected Areas in Information Theory (JSAIT), Vol. 5, pp. 94-104, Mar. 2024.
63. R.-D. Zhou, C. Tian, and T. Liu, “Stochastic chaining and strengthened information-theoretic generalization bounds,” Journal of the Franklin Institute, Vol. 360, No. 6, pp. 4114-4134, Apr. 2023.
62. C. Tian, H. Sun, and J. Chen, “A Shannon-theoretic approach to the storage–retrieval trade-off in PIR systems,” MDPI-Information, Vol. 14, No. 1, pp. 44(1-14), Jan. 2023.
61. R.-D. Zhou, C. Tian, H. Sun, and J. S. Plank, “Two-level private information retrieval,” IEEE Journal on Selected Areas in Information Theory (JSAIT), Vol. 3, No. 2, pp. 337-349, Jul. 2022.
60. M. Makovenko, M. Cheng, and C. Tian, “Revisiting the optimization of Cauchy Reed-Solomon coding matrix for fault-tolerant data storage”, IEEE Transactions on Computers, Vol. 71, No. 8, pp. 1839-1846, Aug. 2022.
59. R.-D. Zhou, C. Tian, and T. Liu, “Individually conditional individual mutual information bound on generalization error,” Trans. Inform. Theory, Vol. 68, No. 5, pp. 3304-3316, May 2022.
58. W.-J. Chen, R.-D. Zhou, C. Tian, and C. Shen, “On top-k selection from m-wise partial rankings via Borda counting,” IEEE Trans. Signal Processing, Vol. 70, pp. 2031-2045, 2022.
57. S. Ulukus, S. Avestimehr, M. Gastpar, S. Jafar, R. Tandon, and C. Tian, “Private retrieval, computing and learning: Recent progress and future challenges,” IEEE Journal on Selected Areas in Communications (JSAC), Vol. 40, No. 3, pp. 729-748, Mar. 2022.
56. L. Zheng, C. Tian, and Q. Chen, “Coding overhead analysis of decentralized coded caching,” IEEE Communications Letters, Vol. 26, No. 2, pp. 254-258, Feb. 2022.
55. T. Guo, R.-D. Zhou, and C. Tian, “New results on the storage-retrieval tradeoff in private information retrieval systems,” IEEE Journal on Selected Areas in Information Theory (JSAIT), Vol. 2, No. 1, pp. 403-414, Mar. 2021.
54. C. Tian, J. S. Plank, B. Hurst, and R.-D. Zhou, “Computational techniques for investigating information theoretic limits of information systems,” MDPI-Information (invited), Vol. 12, No. 2, pp. 82.1-16, Feb. 2021.
53. S. Shao, J. Gómez-Vilardebó, K. Zhang, and C. Tian, “On the fundamental limits of coded caching systems with restricted demand types,” IEEE Trans. on Communications, Vol. 69, No. 2, pp. 863-873, Feb. 2021.
52. C. Tian, “On the storage cost of private information retrieval,” IEEE Trans. Inform. Theory, Vol. 66, No. 11, pp. 7539-7549, Dec. 2020.
51. T. Guo, C. Tian, T. Liu, and R. Yeung, “Weakly secure symmetric multilevel diversity coding,” IEEE Trans. Inform. Theory, Vol. 66, No. 11, pp. 7033-7055, Nov. 2020.
50. R.-D. Zhou, C. Tian, H. Sun, and T. Liu, “Capacity-achieving private information retrieval codes from MDS-coded databases with minimum message size,” IEEE Trans. Inform. Theory, Vol. 66, No. 8, pp. 4904-4916, Aug. 2020 (2020-2021 IEEE Data Storage Best Student Paper Award IEEE).
49. J. Ren, K. Yang, C. Tian, J. Wang, and H. V. Poor, “Decoding binary linear codes over channels with synchronization errors,” IEEE Journal of Selected Areas in Communications (JSAC), Vol. 38, No. 12, pp. 2853-2863, Jul. 2020.
48. T. Guo, R.-D. Zhou, and C. Tian, “On the information leakage in private information retrieval systems,” IEEE Trans. on Information Forensics and Security, Vol. 15, pp. 2999-3012, Mar. 2020.
47. T.-L. Zhou and C. Tian, “Fast erasure coding for data storage: A comprehensive study of the acceleration techniques,” ACM Transactions on Storage, Vol. 16, No. 1, pp. 7:1–24, Mar. 2020; source code repository.
46. C. Tian, H. Sun, and J. Chen, “Capacity-achieving private information retrieval codes with optimal message size and upload cost,” IEEE Trans. Inform. Theory, Vol. 65, No. 11, pp. 7613-7627, Nov. 2019.
45. H. Sun and C. Tian, “Breaking the MDS-PIR capacity barrier via joint storage coding,” MDPI-Information (invited), Vol. 10, No. 9, 265.1-16, Sep. 2019.
44. S. Shao, T. Liu, C. Tian, and C. Shen, “New results on multilevel diversity coding with secure regeneration,” Science China Information Sciences, Special Focus on Distributed Storage Coding, Vol. 61, No. 10, Oct. 2018.
43. J. Li, X.-H. Tang, and C. Tian, “A generic transformation to enable optimal repair in MDS codes for distributed storage systems,” IEEE Trans. Inform. Theory, Vol. 64, No. 9, pp. 6257-6267, Sep. 2018.
42. S. Shao, T. Liu, C. Tian, and C. Shen, “Multilevel diversity coding with secure regeneration: Separate coding achieves the MBR point,” MDPI-Entropy, Vol. 20, No. 10, 751.1-23, Sep. 2018.
41. C. Tian, “Symmetry, outer bounds, and code constructions: A computer-aided investigation on the fundamental limits of caching,” MDPI-Entropy, Vol. 20, No. 8, 603.1-43, Aug. 2018.
40. K. Zhang and C. Tian, “Fundamental limits of coded caching: from uncoded prefetching to coded prefetching,” IEEE Journal of Selected Areas in Communications, Vol. 36, No. 6, pp. 1153-1164, Jun. 2018.
39. K. Zhang and C. Tian, “On the symmetry reduction of information inequalities,” IEEE Trans. Communications, Vol. 66, No. 6, pp. 2396-2408, Jun. 2018.
38. C. Tian and J. Chen, “Caching and delivery via interference elimination,” IEEE Trans. Inform. Theory, Vol. 64, No. 3, pp. 1548-1560, Mar. 2018.
37. S. Shao, T. Liu, C. Tian, and C. Shen, “On the tradeoff region of secure exact-repair regenerating codes,” IEEE Trans. Inform. Theory, Vol. 63, No. 11, pp. 7253-7266, Nov. 2017.
36. C. Tian, J. Chen, S. Diggavi, and S. Shamai, “Matched multiuser Gaussian source channel communications via uncoded schemes,” IEEE Trans. Inform. Theory, Vol. 63, No. 7, pp. 4155-4171, Jul. 2017.
35. C. Tian and T. Liu, “Multilevel diversity coding with regeneration,” IEEE Trans. Inform. Theory, Vol. 62, No. 9, pp. 4833-4847, Sep. 2016.
34. C. Tian, B. Bandemer, and S. Shamai, “Gaussian state amplification with noisy observations,” IEEE Trans. Inform. Theory, Vol. 61, No. 9, pp. 4587-4597, Sep. 2015.
33. L. Song, J. Chen, and C. Tian, “Broadcasting correlated vector Gaussians,” IEEE Trans. Inform. Theory, Vol. 61, No. 5, pp. 2465-2477, May 2015.
32. C. Tian, B. Sasidharan, V. Aggarwal, V. Vaishampayan, and P. Vijay Kumar, “Layered exact-repair regenerating codes via embedded erasure correction and block designs,” IEEE Trans. Inform. Theory, Vol. 61, No. 4, pp. 1933-1947, Apr. 2015.
31. Q. Shi, L. Song, C. Tian, J. Chen, and S. Dumitrescu, “Polar codes for multiple descriptions,” IEEE Trans. Inform. Theory, Vol. 61, No. 1, pp. 107-119, Jan. 2015.
30. C. Tian, “Characterizing the rate-region of the (4,3,3) exact-repair regenerating codes,” IEEE Journal on Selected Areas in Communications, Vol. 32, No. 5, 967-975, May 2014 (2014 IEEE Data Storage Best Paper Award).
29. C. Tian, J. Chen, S. N. Diggavi, and S. Shamai, “Optimality and approximate optimality of source-channel separation in networks,” IEEE Trans. Inform. Theory, Vol. 60, No. 2, pp. 904-918, Feb. 2014.
28. C. Tian and S. Krishnan, “Accelerated bilateral filtering with block skipping,” IEEE Signal Processing Letters, Vol. 20, No. 5, pp. 419-422, May 2013.
27. J. W. Yoo, T. Liu, S. Shamai, and C. Tian, “Worst-case expected-capacity loss of slow-fading channels,” IEEE Trans. Inform. Theory, Vol. 59, No. 6, pp. 3764-3779, Jun. 2013.
26. E. Hof, I. Sason, S. Shamai, and C. Tian, “Capacity-achieving polar codes for arbitrarily permuted parallel channels,” IEEE Trans. Inform. Theory, Vol. 59, No. 3, pp. 1505-1516, Mar. 2013.
25. C.T.K. Ng, C. Tian, A. Goldsmith, and S. Shamai, “Distortion minimization in Gaussian source coding with fading side-information channel,” IEEE Trans. Inform. Theory, Vol. 58, No. 9, pp. 5725-5739, Sep. 2012.
24. C. Tian, S. Diggavi, and S. Shamai, “The achievable distortion region of sending a bivariate Gaussian source on the Gaussian broadcast channel,” IEEE Trans. Inform. Theory, Vol. 57, No. 10, pp. 6419-6427, Oct. 2011.
23. C. Tian, “Latent capacity region: a case study on symmetric broadcast with common messages,” IEEE Trans. Inform. Theory, Vol. 57, No. 6, pp. 3273-3285, Jun. 2011.
22. C. Tian, S. Diggavi, and S. Shamai, “Approximate characterizations for the Gaussian source broadcast distortion region,” IEEE Trans. Inform. Theory, Vol. 57, No. 1, pp. 124-136, Jan. 2011.
21. U. Samarawickrama, J. Liang, and C. Tian, “A three-layer scheme for M-channel multiple description image coding,” Signal Processing (Elsevier), Vol. 91, No. 10, pp. 2277-2289, Oct. 2011.
20. C. Tian and J. Chen, “New coding schemes for the symmetric K-description problem ,” IEEE Trans. Inform. Theory, Vol. 56, No. 10, pp. 5344-5365, Oct. 2010.
19. S. Mohajer, C. Tian, and S. N. Diggavi, “Asymmetric multilevel diversity coding and asymmetric multiple descriptions,” IEEE Trans. Inform. Theory, Vol. 56, No. 9, pp. 4367-4387, Sep. 2010.
18. U. Samarawickrama, J. Liang, and C. Tian, “M-channel multiple description coding with two-rate predictive coding and staggered quantization,” IEEE Trans. Circuits and Systems for Video Technology, Vol. 20, No. 7, pp. 933-944, Jul. 2010.
17. Y. Li, C. Tian, S. N. Diggavi, M. Chiang, and R. Calderbank, “Network resource allocation for competing multiple description transmissions,” IEEE Trans. Communications, Vol. 58, No. 5, pp. 1493-1504, May 2010.
16. Z. Sun, C. Tian, J. Chen, and Kon Max Wong, “LDPC code design for asynchronous Slepian-Wolf coding,” IEEE Trans. Communications, Vol. 58, No. 2, pp. 511-520, Feb. 2010.
15. C. Tian and J. Chen, “Remote vector Gaussian source coding with decoder side information under mutual information and distortion constraints,” IEEE Trans. Inform. Theory, Vol. 55, No. 10, pp. 4676-4680, Oct. 2009. (erratum: eqn. (32) is missing a multiplication with λiD)
14. C. Tian, S. Mohajer, and S. N. Diggavi, “Approximating the Gaussian multiple description rate region under symmetric distortion constraints,” IEEE Trans. Inform. Theory, Vol. 55, No. 8, pp. 3869-3891, Aug. 2009.
13. J. Chen, C. Tian, and S. N. Diggavi, “Multiple description coding for stationary Gaussian sources,” IEEE Trans. Inform. Theory, Vol. 55, No. 6, pp. 2868-2881, Jun. 2009.
12. G. Sun, U. Samarawickrame, J. Liang, C. Tian, C. Tu, and T. D. Tran, “Multiple description coding with prediction compensation,” IEEE Trans. Image Processing, Vol. 18, No. 5, pp. 1037-1047, May 2009.
11. C. Tian, V. Vaishampayan, and N.J.A. Sloane, “A coding algorithm for constant weight vectors: a geometric approach based on dissections,” IEEE Trans. Inform. Theory, Vol. 55, No. 3, pp. 1051-1060, Mar. 2009.
10. C. Tian, M. Masry, and H. Lipson, “Physical sketching: reconstruction and analysis of 3D objects from freehand sketches,,” Journal of Computer Aided Design, Special Issue on Computer Support for Conceptual Design, Vol. 41, No. 3, pp. 147-158, Mar. 2009.
9. C. Tian and S. Diggavi, “Side-information scalable source coding,” IEEE Trans. Inform. Theory, Vol. 54, No. 12, pp. 5591-5608, Dec. 2008.
8. C. Tian and J. Chen, “Successive refinement for hypothesis testing and lossless one-helper problem,” IEEE Trans. Inform. Theory, Vol. 54, No. 10, pp. 4666-4681, Oct. 2008.
7. C. Tian, A. Steiner, S. Shamai, and S. N. Diggavi, “Successive refinement via broadcast: optimizing expected distortion of a Gaussian source over a Gaussian fading channel,” IEEE Trans. Inform. Theory, Vol. 54, No. 7, pp. 2903-2918, Jul. 2008.
6. C. Tian, J. Chen, and S. N. Diggavi, “Multiuser successive refinement and multiple description coding,” IEEE Trans. Inform. Theory, Vol. 54, No. 2, pp. 921-931, Feb. 2008.
5. C. Tian and S. Diggavi, “On multistage successive refinement for Wyner-Ziv source coding with degraded side information,” IEEE Trans. Inform. Theory, Vol. 53, No. 8, pp. 2946-2960, Aug. 2007.
4. J. Chen, C. Tian, T. Berger, and S. S. Hemami, “Multiple description quantization via Gram-Schmidt orthogonalization,”IEEE Trans. Inform. Theory, Vol. 52, No. 12, pp. 5197-5217, Dec. 2006.
3. C. Tian and S. S. Hemami, “A new class of multiple description scalar quantizers and its application to image coding,” IEEE Signal Processing Letters, Vol 12, No. 4, pp. 329-332, Apr. 2005.
2. C. Tian and S. S. Hemami, “Optimality and sub-optimality of multiple description vector quantization with a lattice codebook,” IEEE Trans. Inform. Theory, Vol. 50, No. 10, pp. 2458-2468, Oct. 2004.
1. C. Tian and S. S. Hemami, “Universal multiple description scalar quantization: analysis and design,” IEEE Trans. Inform. Theory, Vol. 50, No. 9, pp. 2089-2102, Sep. 2004.

Note: Only recent results, results not listed above, or not documented in a journal form yet.

Y.-S Huang, W.-Y. Zhao, R-D. Zhou, and C. Tian, “Weakly private information retrieval from heterogeneously trusted servers,” IEEE Int. Symp. Information Theory (ISIT), Athens, Greece, Jul. 2024.
R-D. Zhou and C. Tian, “Staggered quantizers for perfect perceptual quality: A connection between quantizers with common randomness and without,” IEEE Workshop on Learning to Compress @ ISIT 2024, Athens, Greece, Jul. 2024.
A. Menati, Y.-T Cai, R. E. Helou, C. Tian, and L. Xie, “Optimization of cryptocurrency mining demand for ancillary services in electricity markets,” 57th Hawaii International Conference on System Sciences, Honolulu HI, Jan. 2024.
W.-J. Chen and C. Tian, “A new approach to compute information theoretic outer bounds and its application to regenerating codes,” IEEE Int. Symp. Information Theory (ISIT), Espoo, Finland, Jun. 2022.
C.-Y. Qian, R.-D. Zhou, C. Tian, and T. Liu, “Improved weakly private information retrieval codes,” IEEE Int. Symp. Information Theory (ISIT), Espoo, Finland, Jun. 2022.
R.-D. Zhou, T. Guo, and C. Tian, “Weakly private information retrieval under the maximal leakage metric,” IEEE Int. Symp. Information Theory (ISIT), Los Angeles CA, Jun. 2020.
S. Mousavi, T. Zhou, and C. Tian, “Delayed parity generation in MDS storage codes,” IEEE Int. Symp. Information Theory (ISIT), Vail CO, Jun. 2018.
Y. Fan, H. Li, and C. Tian, “A stochastic framework of millimeter wave signal for mobile users: experiment, modeling and application in beam tracking,” 11th Global Symposium on Millimeter Waves, Boulder CO, May. 2018.
K. Zhang, C. Tian, and H. Li, “Coded prefetching and efficient delivery in decentralized caching systems (invited),” 2017 IEEE 18th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), Sapporo Japan, Jul. 2017.
J. Chen, A. Salimi, T. Liu, and C. Tian, “Orbit-entropy cones and extremal pairwise orbit-entropy inequalities,” IEEE Int. Symp. Information Theory (ISIT), Barcelona Spain, Jul. 2016.
J. Chen, H. Ye, C. Tian, T. Liu, and Z. Xiao, “Cyclically symmetric entropy inequalities,” IEEE Int. Symp. Information Theory (ISIT), Barcelona Spain, Jul. 2016.
C. Tian, “On the fundamental limits of coded caching and exact-repair regenerating codes,” 2015 Int. Sym. on Network Coding (NetCod), Sydney, Australia, Jun. 2015.
C. Tian, “A C library of repair-efficient erasure codes for distributed data storage systems,” Workshops in 2014 IEEE International Conference on BigData, Washington DC, Oct. 2014.
A. Reibman, K. Shirley and C. Tian, “A probabilistic pairwise-preference predictor for image quality,” IEEE Int. Conf. on Image Proc. (ICIP), Melbourne, Australia, Sep. 2013.
Y.-F. Chen, S. Daniels, M. Hadjieleftheriou, P. Liu, C. Tian and V. Vaishampayan, “Distributed storage evaluation on a three-wide inter-data center deployment,” Workshops in 2013 IEEE International Conference on BigData, Santa Clara CA, Oct. 2013.
L. Yang, C. Tian, V. Vaishampayan and A. Reibman, “An automatic grid corner extration technique for camera calibration,” IEEE Int. Conf. on Image Proc. (ICIP), Orlando FL, Sep., 2012.
C. Tian, V. Vaishampayan and Y. Zhang, “Upsampling range camera depth maps using high-resolution vision camera and pixel-level confidence classification,” IS&T/SPIE’s Int. Symp. on Electronic Imaging-Stereoscopic Displays and Applications XXII, San Francisco CA, Jan. 2011.
C. Tian and S. Shamai, “Sending Gaussian source on bandwidth-mismatched Gaussian channel with improved robustness,” IEEE Int. Conf. on Communications (ICC), Kyoto, Japan, Jun. 2011.
C. Tian, “Inequalities for entropies of sets of subsets of random variables,” IEEE Int. Symp. on Information Theory (ISIT), Petersburg, Russia, Aug. 2011.
V. Vaishampayan, C. Tian and M. Feuer, “On the capacity of a hybrid broadcast multiple access system for WDM networks,” IEEE Int. Symp. on Inform. Th. (ISIT), Petersburg, Russia, Aug. 2011.
S. Mohajer, C. Tian and S. Diggavi, “On source transmission over deterministic networks (invited),” IEEE Information Theory Workshop (ITW), Cairo, Egypt, Jan. 2010.
J. Chen and C. Tian, “Capacity region of reversely degraded Gaussian MIMO broadcast channel,” IEEE Globecom, p. 1-6, Honolulu HI, Nov. 2009.
C. Tian and S. Shamai, “A unified coding scheme for hybrid transmission of Gaussian source over Gaussian channel,” 2008 IEEE Int. Symp. on Information Theory (ISIT), Toronto, Canada, Jul. 2008.
D. Vasudevan, C. Tian and S. Diggavi, “Lossy source coding for a cascade communication system with side informations,” Allerton conference on Comm. Control and Comp., Monteceillo IL, Sep. 2006.
C. Tian and S. Hemami, “Visually optimized multiple description image coding,” IEEE Int. Conf. on on Acoustics, Speech, and Sig. Proc. (ICASSP), Toulouse, France, May 2006.
C. Tian and S. S. Hemami, “Staggered lattices in multiple description quantization,” IEEE Data Compression Conference (DCC), Snowbird UT, Mar. 2005.
C. Tian and S. S. Hemami, “An embedded image coding system based on tarp filter with classification,” IEEE Int. Conf. on Acoustics, Speech and Sig. Proc. (ICASSP), Montreal, Canada, May 2004.
C. Tian and S. S. Hemami, “Sequential design of multiple description scalar quantizers,” IEEE Data Compression Conference (DCC), Snowbird UT, Mar. 2004.
1. Encoding of data into constant weight codes, N. J. A. Sloane, C. Tian, and V. Vaishampayan, US Patent No. 7,587,641, Sep. 2009.
2. Quantization splitting multiple description encoder, C. Tian and J. Chen, US Patent No. 7,944,388, May 2011.
3. Method and apparatus for improving transmission of data on a bandwidth mismatched channel, C. Tian, US Patent No. 8,774,308, Jul. 2014; US Patent No. 9,356,627, May 2016.
4. Method and apparatus for improving transmission of data on a bandwidth expanded channel, C. Tian, US Patent No. 8,781,023, Jul. 2014; US Patent No. 9,356,629, May 2016.
5. System and method of bilateral image filtering, C. Tian and S. Krishnan, US Patent No. 8,737,735, May 2014.
6. Apparatus and method for providing three dimensional media content, C. Tian, V. Vaishampayan, and Y. Zhang, US Patent No. 8,428,342, May 2013; US Patent No. 8,977,038, Mar. 2015; US Patent No. 9,153,018, Oct. 2015; US Patent No. 9,674,506, Jun. 2017.
7. Method and apparatus for generating quality estimations, A. Reibman, K. Shirley, and C. Tian, US Patent No. 9,008,427, Apr. 2015; US Patent No. 9,521,443, Dec. 2016.
8. System and method for image filtering, C. Tian and S. Krishnan, US Patent No. 9,111,336, Aug. 2015; US Patent No. 9,514,520, Dec. 2016.
9. Distributed storage of data, C. Tian, US Patent No. 9,575,846, Feb. 2017; US Patent No. 9,952,952, Apr. 2018.