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The total number of patents/patent applications is over 250; below only 60 of them are listed.

The proposed methods, algorithms, and systems embodied in most of the following patents have been transferred into data processing, communications, data security prod- ucts, which have benefited people worldwide (over 170 countries).

[P1] E.-H. Yang, “Method for lossless data compression using greedy sequential grammar transform and sequential coding,” U.S. Patent No.  6,762,699, July 13, 2004.

[P2] E.-H. Yang and D.-K. He, “Method for lossless data compression using greedy sequen- tial context-dependent grammar transform,” U.S. Patent  No.  6,801,141,  October  5, 2004 (The proposed algorithms are now the state of the art of universal on-line lossless data compression.)

[P3] E.-H. Yang and D.-K. He, “Method for lossless data compression using greedy se- quential context-dependent grammar transform,” PCT Application No. CA03/01058, India patent application number 47/DELNP/2005, European Patent Convention ap- plication number 3763542.2, China patent application number 519105.0102, July 11, 2003 (China Patent No. 03821724.4, May 13, 2009).

[P4] E.-H. Yang and J. Zeng, “Method, system, and software product for color image en- coding,” U.S. Patent No. 7,525,552, April 28, 2009.

[P5] E.-H. Yang and J. Zeng, “Method, system, and software product for color image en- coding,” U.S. Patent No. 8,022,963, Sept. 20, 2011.

[P6] E.-H. Yang and J. Zeng, “Method, system, and software product for color image en- coding,” U.S. Patent No. 8,106,919, January 31, 2012.

[P7] E.-H. Yang and J. Zeng, “Method, system, and software product for color image en- coding,” U.S. Patent No. 8,253,757, August 28, 2012.

[P8] E.-H. Yang and L. Wang, “Method, system, and computer program product for opti- mization of data compression with cost function,” U.S. Patent No. 7,570,827, August 4, 2009.

[P9] E.-H. Yang and J. Zeng, “Method, system, and software product for color image en- coding,” PCT Application No. PCT/CA2005/000573, April 15, 2005. National phase entry applications were fi and patents were granted for the following countries and regions: US, EPO, Canada, South Korea, Australia, Taiwan, Japan, Brazil, China, India, and Singapore. (South Korea Patent No. 0868716, Nov. 7, 2008)

[P10] E.-H. Yang and L. Wang, “Method, system, and computer program product for opti- mization of data co�������������Dz�,” U.S. Patent No.  7,742,643, June 22, 2010.

[P11] E.-H. Yang and L. Wang, “Method, system and computer program product for opti- mization of data co�������������Dz�,” U.S. Patent No.7,978,923, July 12, 2011. (a continua- tion of U.S. patent application Ser. No. 11/180,513)

[P12] E.-H. Yang and L. Wang, “Method, system and computer program product for opti- mization of data compression with iterative cost function,” US Patent No. 8,194,990, June 5, 2012.

[P13] E.-H. Yang and L. Wang, “Method, system, and computer program product for pro- viding entropy constrained color splitting for palette images with color-wise splitting,” US Patent No. 8,000,547, August 16, 2011.

[P14] E.-H. Yang and L. Wang, “Method, system, and computer program product for pro- viding entropy constrained color splitting for palette images with color-wise splitting,” US Patent No. 8,260,071, September 4, 2012.

[P15] E.-H. Yang and L. Wang, “Method, system, and computer program product for entropy constrained color splitting for palette images with pixel-wise splitting,” US Patent No. 7,903,893, March 8, 2011.

[P16] E.-H. Yang and L. Wang, “Method, system, and computer program product for entropy constrained color splitting for palette images with pixel-wise splitting,” US Patent No. 8,265,408, September 11, 2012.

[P17] E.-H. Yang and X. Yu, “Soft decision and iterative video coding for MPEG and H.264,” US Patent No.  8,005,140, August 23, 2011 .

[P18] E.-H. Yang and X. Yu, “Soft decision and iterative video coding for MPEG and H.264,” US Patent No. 8,331,441, Dec. 11, 2012.

[P19] S. Chan and E.-H. Y���Բ�,“M��ٳ�ǻ� and system for reducing contexts for context-based compression systems,” US Patent No. 7,616,132, Nov. 10, 2009.

[P20] S. Chan and E.-H. Y���Բ�,“M��ٳ�ǻ� and system for reducing contexts for context-based compression systems,” US Patent No. 8,072,357, Dec. 6, 2011. (a continuation of U.S. application Ser. No. 12/040,149)

[P21] E.-H. Yang, A. Singh, S. Ahmed, and D. P. Sze, ��ٲ�Գ�hronization of side information cac����,” US Patent No. 8,073,975, Dec. 6, 2011.

[P22] E.-H. Yang, A. Singh, S. Ahmed, and D. P. Sze, “Determination of compression state information for use in interactive co�������������Dz�,” US Patent No. 7,612,695, Nov. 3, 2009.

[P23] E.-H. Yang, A. Singh, S. Ahmed, and D. P. Sze, “Determination of compression state information for use in interactive co�������������Dz�,” US Patent No. 7,990,291, August 2, 2011. (a continuation of US Patent Application No. 12/131,397)

[P24] E.-H. Yang, A. Singh, S. Ahmed, and D. P. Sze, ���Գٱ�������پ���e compression with multiple units of compression state information,” US Patent No. 8,090,046, Jan. 3, 2012.

[P25] X. Yu, E.-H. Yang, and H. Wang, “Method and device for selecting transform matrices for down-sampling DCT image using learning with forgetting algorithm,” US Patent No. 7,995,850, August 9, 2011.

[P26] X. Yu, E.-H. Yang, and H. Wang, “Method and device for selecting transform matrices for down-sampling DCT image using learning with forgetting algorithm,” US Patent No. 8,233,703, July 31, 2012.

[P27] X. Yu, E.-H. Yang, and H. Wang, “Method and device for selecting optimal transform matrices for down-sampling DCT image,” US Patent No.  7,978,934, July 12, 2011.

[P28] X. Yu, E.-H. Yang, and H. Wang, “Method and device for selecting optimal transform matrices for down-sampling DCT image,” US Patent No. 8,233,732, July 31, 2012. (A continuation of US Patent Application No.  12/133,095 fi       on June 4, 2008).

[P29] X. Yu, E.-H. Yang, and H. Wang, “Method  and  device  for  down-sampling  a  DCT image in the DCT domain,” US Patent No.  8,094,956, January 10, 2012.

[P30] L. Wang and E.-H. Yang, “Arbitrary ratio image resizing in the DCT domain,” US Patent No. 8,233,727, July 31, 2012. (Patents in Europe and Singapore were granted in 2010 and 2011, respectively.)

[P31] G. Wu, B. Lamb, and E.-H. Yang, “Method and system for decoding encoded images and reducing the size of said images,” US Patent No. 8,045,810, Oct. 25, 2011.

[P32] G. Wu and E.-H. Yang, “Optimization of MP3 audio encoding by scale factors and global quantization step size,” US Patent No. 8,204,744, June 19, 2012.

[P33] E.-H. Yang and L. Wang, “Method and system for optimized video coding,” US Patent Application No. 12/405, 447, Mar. 17, 2009.

[P34] E.-H. Yang, X. Yu, and H. Wang, “Method and system for optimizing quantization for noisy c�󲹲ԲԱ����,” US Patent No. 8,175,169, May 8, 2012.

[P35] X. Yu, D.-K. He, and E.-H. Yang, “System and method for enumerative coding for pulse indexing,” US Patent No. 8,280,729, Oct. 2, 2012.

[P36] X. Yu, D.-K. He, and E.-H. Yang, ����-���ǴDZ� deblocking for intra-coded images or frames,” US Patent No, 8,311,109, Nov. 13, 2012.

[P37] G. F. Korodi, D.-K. He, E.-H. Yang, and G. C. Martin-Cocher, “Methods and devices for load balancing in parallel entropy coding and decoding,” US Patent No. 8,174,414, May 8, 2012.

[P38] G. F. Korodi, D.-K. He, and E.-H. Yang, “P������������� entropy coding and decoding meth- ods and devices,” US Patent No. 8,487,791, July 16, 2013.

[P39] E.-H. Yang and X. Yu, “Soft decision and iterative video coding for MPEG and H.264,” US Patent No.  8,411,742, April 2, 2013.

[P40] G. Wu, E.-H. Yang, and L. Wang, “Rate-distortion optimization for advanced audio coding,” US Patent No. 8,380,524, February 19, 2013.

[P41] D.-K. He, G. F. Korodi, G. C. Martin-Cocher, and E.-H. Yang, “Methods and devices for parallel encoding and decoding using a bitstream structured for reduced delay,” US Patent No. 8,519,871, August 27, 2013.

[P42] S. Xun, X. Yu, D. He, and E.-H. Yang, “Method and device for video encoding using predicted residuals,” US Patent No. 8,559,519, Oct. 15, 2013.

[P43] X. Yu, D. He, and E.-H. Yang, “Methods and devices for data  compression  with adaptive  fi    in the transform domain,” US Patent No.  8,577,159, Nov.  5, 2013.

[P44] D. He, X. Yu, and E.-H. Yang, “Methods and devices for data compression using adaptive reconstruction ���𱹱����,” US Patent No. 8,582,639, November 12, 2013.

[P45] J. Zan, D. He, and E.-H. Yang, “Method and encoder for constrained soft-decision quantization in data co�������������Dz�,” US Patent No.  8,675,726, March 18, 2014.

[P46] E.-H. Yang, A. Singh, L. Brian, and L. Wang, “System and method for progressive delivery of multimedia objects,” US Patent No.  8,775,662, July 8, 2014.

[P47] E.-H. Yang, X. Yu, J. Meng, and S. Chang, “System and method having transparent composite model for transform coefficie�Գٲ�,” US Patent No. 9,245,354, Jan. 26, 2016. [P48]  E.-H. Yang, J. Meng, and X. Yu, “Methods, systems and computer program product

for providing verification code recovery and remote ���ܳٳ��Գپ������پ��Dz�,” US Patent No.

9,576,149, February 21, 2017.

[P49] E.-H. Yang, J. Meng, and X. Yu, “Methods, systems and computer program product for providing encryption on a plurality of devices,” US Patent No. 9,619,667, April 11, 2017.

[P50] E.-H. Yang, “Methods and computer program products for encryption key generation and �����Բ����𳾱�Գ�,” U.S. Patent No. 9,703,979, July 11, 2017.