Projects per year
Personal profile
Research interests
Research Expertise:
Experimental Mathematics | Coding Theory | Frames
My research interests lie broadly in experimental mathematics with a current focus on coding theory and frames.
My work on coding theory consists of two projects. The first is to construct good error-correcting codes capable of correcting insertion, deletion, and substitution errors and apply them to the design of barcodes for DNA multiplex sequencing and data storage. The second is the develop codes for two-party interactive communication that are resistant to the same types of errors.
My work on frames seeks to construct efficient algorithms to partition frames with low coherence, called tight equiangular frames (ETFs), into sets with uniform small spectral norms, and to develop applications in communications and signal processing that utilize such partitions. Current work focuses on two special types of frames: Steiner and maximal ETFs.
Member of:
Mathematical Association of America (www.maa.org)
Education/Academic qualification
Doctor of Philosophy, doctorate
Bachelor of Science, Bachelor
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Collaborations and top research areas from the last five years
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Mitigating Blueberry Scorch Virus using AI and autonomous drones
Nguyen, H. (PI)
12/2/22 → 9/29/25
Project: Other project
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Precision Agriculture Using AI Drones
Nguyen, H. (PI)
New Jersey Council of County Colleges
10/18/23 → 8/31/24
Project: Other project
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Bridging Undergraduate Student Research in Mathematics Between Four-Year and Two-Year Institutions
Nguyen, H. (PI)
Center for Undergraduate Research in Mathematics
5/15/19 → 8/31/21
Project: Other project
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Ensemble Learning using Error Correcting Output Codes: New Classification Error Bounds
Nguyen, H. D., Khan, M. S., Kaegi, N., Ho, S. S., Moore, J., Borys, L. & Lavalva, L., 2021, Proceedings - 2021 IEEE 33rd International Conference on Tools with Artificial Intelligence, ICTAI 2021. IEEE Computer Society, p. 719-723 5 p. (Proceedings - International Conference on Tools with Artificial Intelligence, ICTAI; vol. 2021-November).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
Open Access1 Scopus citations -
Optimal N-ary ECOC Matrices for Ensemble Classification
Nguyen, H. D., Lavalva, L. J., Hot, S. S., Khan, M. S. & Kaegi, N., 2021, 2021 IEEE Symposium Series on Computational Intelligence, SSCI 2021 - Proceedings. Institute of Electrical and Electronics Engineers Inc., (2021 IEEE Symposium Series on Computational Intelligence, SSCI 2021 - Proceedings).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
Open Access1 Scopus citations -
An Error-Correcting Output Code Framework for Lifelong Learning without a Teacher
Ho, S. S., Marchiano, M., Zockoll, S. & Nguyen, H., Nov 2020, Proceedings - IEEE 32nd International Conference on Tools with Artificial Intelligence, ICTAI 2020. Alamaniotis, M. & Pan, S. (eds.). IEEE Computer Society, p. 249-254 6 p. 9288216. (Proceedings - International Conference on Tools with Artificial Intelligence, ICTAI; vol. 2020-November).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
2 Scopus citations -
New approximations for the area of the Mandelbrot set
Bittner, D., Cheong, L., Gates, D. & Nguyen, H. D., 2017, In: Involve. 10, 4, p. 555-572 18 p.Research output: Contribution to journal › Article › peer-review
Open Access2 Scopus citations -
Partitions of equiangular tight frames
Rosado, J., Nguyen, H. D. & Cao, L., Aug 1 2017, In: Linear Algebra and Its Applications. 526, p. 95-120 26 p.Research output: Contribution to journal › Article › peer-review
Open Access