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portfolio
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publications
Synthesis from incompatible specifications
Published in Proceedings of the tenth ACM international conference on Embedded software, 2012
Recommended citation: Pavol {\v{C}}ern{\`y}, Sivakanth Gopi, Thomas Henzinger, Arjun Radhakrishna, Nishant Totla, "Synthesis from incompatible specifications." Proceedings of the tenth ACM international conference on Embedded software, 2012.
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One-bit compressed sensing: Provable support and vector recovery
Published in International Conference on Machine Learning, 2013
Recommended citation: Sivakant Gopi, Praneeth Netrapalli, Prateek Jain, Aditya Nori, "One-bit compressed sensing: Provable support and vector recovery." International Conference on Machine Learning, 2013.
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Stability of Linear Threshold Functions
Published in Undergraduate Thesis, 2013
Recommended citation: Sivakanth Gopi, "Stability of Linear Threshold Functions." Undergraduate Thesis, 2013.
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2-server PIR with subpolynomial communication
Published in Proceedings of the forty-seventh annual ACM symposium on Theory of Computing (STOC), 2015
Winner of STOC best paper award.
Journal version: Invited article in Journal of the ACM, 2016.
Coverage: Bill Gasarch, Theorem of the year 2014 (Lance Fortnow)
Recommended citation: Zeev Dvir, Sivakanth Gopi, "2-server PIR with subpolynomial communication." Proceedings of the forty-seventh annual ACM symposium on Theory of Computing (STOC), 2015.
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On the number of rich lines in truly high dimensional sets
Published in 31st International Symposium on Computational Geometry (SoCG), 2015
Recommended citation: Zeev Dvir, Sivakanth Gopi, "On the number of rich lines in truly high dimensional sets." 31st International Symposium on Computational Geometry (SoCG), 2015.
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Lower bounds for constant query affine-invariant LCCs and LTCs
Published in In 31st Conference on Computational Complexity (CCC), 2016
Journal version: ACM Transactions on Computation Theory, 2017
Recommended citation: Arnab Bhattacharyya, Sivakanth Gopi, "Lower bounds for constant query affine-invariant LCCs and LTCs." In 31st Conference on Computational Complexity (CCC), 2016.
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Competitive analysis of the top-K ranking problem
Published in Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms, 2017
Journal version: IEEE Transactions on Information Theory, 2018
Recommended citation: Xi Chen, Sivakanth Gopi, Jieming Mao, Jon Schneider, "Competitive analysis of the top-K ranking problem." Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms, 2017.
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Locally testable and locally correctable codes approaching the Gilbert-Varshamov bound
Published in Proceedings of the 2017 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), 2017
Journal version: IEEE Transactions on Information Theory, 2018
Recommended citation: Sivakanth Gopi, Swastik Kopparty, Rafael Oliveira, Noga Ron-Zewi, Shubhangi Saraf, "Locally testable and locally correctable codes approaching the Gilbert-Varshamov bound." Proceedings of the 2017 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), 2017.
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Lower bounds for 2-query LCCs over large alphabet
Published in Approximation, Randomization, and Combinatorial Optimization. (APPROX RANDOM 2017), 2017
Recommended citation: Arnab Bhattacharyya, Sivakanth Gopi, Avishay Tal, "Lower bounds for 2-query LCCs over large alphabet." Approximation, Randomization, and Combinatorial Optimization. (APPROX RANDOM 2017), 2017.
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Outlaw distributions and locally decodable codes
Published in 8th Innovations in Theoretical Computer Science Conference (ITCS), 2017
Journal version: Theory of Computing, 2019
Recommended citation: Jop Bri{\"e}t, Zeev Dvir, Sivakanth Gopi, "Outlaw distributions and locally decodable codes." 8th Innovations in Theoretical Computer Science Conference (ITCS), 2017.
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Locality in coding theory
Published in Ph.D. Thesis, 2018
Recommended citation: Sivakanth Gopi, "Locality in coding theory." Ph.D. Thesis, 2018.
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Optimal Instance Adaptive Algorithm for the Top-$ K $ Ranking Problem
Published in IEEE Transactions on Information Theory, 2018
Recommended citation: Xi Chen, Sivakanth Gopi, Jieming Mao, Jon Schneider, "Optimal Instance Adaptive Algorithm for the Top-$ K $ Ranking Problem." IEEE Transactions on Information Theory, 2018.
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CSPs with global modular constraints: algorithms and hardness via polynomial representations
Published in Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, 2019
Journal version: SIAM Journal of Computing, 2022
Recommended citation: Joshua Brakensiek, Sivakanth Gopi, Venkatesan Guruswami, "CSPs with global modular constraints: algorithms and hardness via polynomial representations." Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, 2019.
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Maximally recoverable LRCs: A field size lower bound and constructions for few heavy parities
Published in Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), 2019
Journal version: IEEE Transactions on Information Theory, 2020
Recommended citation: Sivakanth Gopi, Venkatesan Guruswami, Sergey Yekhanin, "Maximally recoverable LRCs: A field size lower bound and constructions for few heavy parities." Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), 2019.
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Spanoids—An Abstraction of Spanning Structures, and a Barrier for LCCs
Published in 10th Innovations in Theoretical Computer Science Conference (ITCS), 2019
Journal version: SIAM Journal on Computing, 2020
Recommended citation: Zeev Dvir, Sivakanth Gopi, Yuzhou Gu, Avi Wigderson, "Spanoids---An Abstraction of Spanning Structures, and a Barrier for LCCs." 10th Innovations in Theoretical Computer Science Conference (ITCS), 2019.
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Differentially private set union
Published in International Conference on Machine Learning, 2020
Journal version: Journal of Privacy and Confidentiality, 2021
Recommended citation: Sivakanth Gopi, Pankaj Gulhane, Janardhan Kulkarni, Judy Shen, Milad Shokouhi, Sergey Yekhanin, "Differentially private set union." International Conference on Machine Learning, 2020.
Gaussian width bounds with applications to arithmetic progressions in random settings
Published in International Mathematics Research Notices, 2020
Recommended citation: Jop Bri{\"e}t, Sivakanth Gopi, "Gaussian width bounds with applications to arithmetic progressions in random settings." International Mathematics Research Notices, 2020.
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Locally private hypothesis selection
Published in Conference on Learning Theory, 2020
Recommended citation: Sivakanth Gopi, Gautam Kamath, Janardhan Kulkarni, Aleksandar Nikolov, Zhiwei Wu, Huanyu Zhang, "Locally private hypothesis selection." Conference on Learning Theory, 2020.
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Differentially private n-gram extraction
Published in Advances in neural information processing systems, 2021
Recommended citation: Kunho Kim, Sivakanth Gopi, Janardhan Kulkarni, Sergey Yekhanin, "Differentially private n-gram extraction." Advances in neural information processing systems, 2021.
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Fast and memory efficient differentially private-sgd via jl projections
Published in Advances in Neural Information Processing Systems, 2021
Recommended citation: Zhiqi Bu, Sivakanth Gopi, Janardhan Kulkarni, Yin Lee, Hanwen Shen, Uthaipon Tantipongpipat, "Fast and memory efficient differentially private-sgd via jl projections." Advances in Neural Information Processing Systems, 2021.
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Numerical composition of differential privacy
Published in Advances in Neural Information Processing Systems, 2021
Journal version: Journal of Privacy and Confidentiality, 2024
Recommended citation: Sivakanth Gopi, Yin Lee, Lukas Wutschitz, "Numerical composition of differential privacy." Advances in Neural Information Processing Systems, 2021.
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Trellis BMA: Coded trace reconstruction on IDS channels for DNA storage
Published in 2021 IEEE International Symposium on Information Theory (ISIT), 2021
Recommended citation: Sundara Srinivasavaradhan, Sivakanth Gopi, Henry Pfister, Sergey Yekhanin, "Trellis BMA: Coded trace reconstruction on IDS channels for DNA storage." 2021 IEEE International Symposium on Information Theory (ISIT), 2021.
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Reverse concatenation of error-correcting codes in dna data storage
Published in US Patent App. 16/562,183, 2021
US Patent App. 16/562,183
Recommended citation: Sergey Yekhanin, Sivakanth Gopi, Henry Pfister, Karin Strauss, "Reverse concatenation of error-correcting codes in dna data storage." US Patent App. 16/562,183, 2021.
Differentially private fine-tuning of language models
Published in International Conference on Learning Representations (ICLR), 2022
Journal version: Journal of Privacy and Confidentiality, 2024
Recommended citation: Da Yu, Saurabh Naik, Arturs Backurs, Sivakanth Gopi, Huseyin Inan, Gautam Kamath, Janardhan Kulkarni, Yin Lee, Andre Manoel, Lukas Wutschitz, et al., "Differentially private fine-tuning of language models." International Conference on Learning Representations (ICLR), 2022.
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Improved maximally recoverable LRCs using skew polynomials
Published in IEEE Transactions on Information Theory, 2022
Recommended citation: Sivakanth Gopi, Venkatesan Guruswami, "Improved maximally recoverable LRCs using skew polynomials." IEEE Transactions on Information Theory, 2022.
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Lower bounds for maximally recoverable tensor codes and higher order MDS codes
Published in IEEE Transactions on Information Theory, 2022
Recommended citation: Joshua Brakensiek, Sivakanth Gopi, Visu Makam, "Lower bounds for maximally recoverable tensor codes and higher order MDS codes." IEEE Transactions on Information Theory, 2022.
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Private convex optimization via exponential mechanism
Published in Conference on Learning Theory, 2022
Journal version: Journal of Privacy and Confidentiality, 2024
Recommended citation: Sivakanth Gopi, Yin Lee, Daogao Liu, "Private convex optimization via exponential mechanism." Conference on Learning Theory, 2022.
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Noise generation for differential privacy
Published in US Patent 11,343,012, 2022
US Patent 11,343,012
Recommended citation: Anjaneya Malpani, Jagadeesh Huliyar, Xinyun Sun, Sreeram Nivarthi, Muthukrishnan Paramasivam, Dheepak Ramaswamy, Sriradha Selvaraj, Ananthatejas Raghavan, Sergey Yekhanin, Janardhan Kulkarni, Aleksey Ashikhmin, Sivakanth Gopi, Bingran Luo, "Noise generation for differential privacy." US Patent 11,343,012, 2022.
Trellis based reconstruction algorithms and inner codes for dna data storage
Published in US Patent App. 17/102,972, 2022
US Patent App. 17/102,972
Recommended citation: Sergey Yekhanin, Sivakanth Gopi, Henry Pfister, Sundara Srinivasavaradhan, "Trellis based reconstruction algorithms and inner codes for dna data storage." US Patent App. 17/102,972, 2022.
Flexible decoding in DNA data storage based on redundancy codes
Published in US Patent 11,495,324, 2022
US Patent 11,495,324
Recommended citation: Sergey Yekhanin, Sivakanth Gopi, "Flexible decoding in DNA data storage based on redundancy codes." US Patent 11,495,324, 2022.
A construction of Maximally Recoverable LRCs for small number of local groups
Published in 2023 IEEE International Symposium on Information Theory (ISIT), 2023
Recommended citation: Manik Dhar, Sivakanth Gopi, "A construction of Maximally Recoverable LRCs for small number of local groups." 2023 IEEE International Symposium on Information Theory (ISIT), 2023.
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Algorithmic aspects of the log-Laplace transform and a non-Euclidean proximal sampler
Published in The Thirty Sixth Annual Conference on Learning Theory, 2023
Recommended citation: Sivakanth Gopi, Yin Lee, Daogao Liu, Ruoqi Shen, Kevin Tian, "Algorithmic aspects of the log-Laplace transform and a non-Euclidean proximal sampler." The Thirty Sixth Annual Conference on Learning Theory, 2023.
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Generic reed-solomon codes achieve list-decoding capacity
Published in Proceedings of the 55th Annual ACM Symposium on Theory of Computing, 2023
Journal version: SIAM Journal on Computing, 2024
Recommended citation: Joshua Brakensiek, Sivakanth Gopi, Visu Makam, "Generic reed-solomon codes achieve list-decoding capacity." Proceedings of the 55th Annual ACM Symposium on Theory of Computing, 2023.
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Phi-2: The surprising power of small language models
Published in Microsoft Research Blog, 2023
Recommended citation: Mojan Javaheripi, S{\'e}bastien Bubeck, Marah Abdin, Jyoti Aneja, Sebastien Bubeck, Caio Mendes, Weizhu Chen, Allie Del, Ronen Eldan, Sivakanth Gopi, et al., "Phi-2: The surprising power of small language models." Microsoft Research Blog, 2023.
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Private convex optimization in general norms
Published in Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), 2023
Recommended citation: Sivakanth Gopi, Yin Lee, Daogao Liu, Ruoqi Shen, Kevin Tian, "Private convex optimization in general norms." Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), 2023.
Textbooks are all you need
Published in arXiv preprint arXiv:2306.11644, 2023
Recommended citation: Suriya Gunasekar, Yi Zhang, Jyoti Aneja, Caio Mendes, Allie Del, Sivakanth Gopi, Mojan Javaheripi, Piero Kauffmann, Gustavo Rosa, Olli Saarikivi, et al., "Textbooks are all you need." arXiv preprint arXiv:2306.11644, 2023.
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Training private and efficient language models with synthetic data from llms
Published in Socially Responsible Language Modelling Research, 2023
Recommended citation: Da Yu, Arturs Backurs, Sivakanth Gopi, Huseyin Inan, Janardhan Kulkarni, Zinan Lin, Chulin Xie, Huishuai Zhang, Wanrong Zhang, "Training private and efficient language models with synthetic data from llms." Socially Responsible Language Modelling Research, 2023.
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AG codes achieve list decoding capacity over constant-sized fields
Published in Proceedings of the 56th Annual ACM Symposium on Theory of Computing, 2024
Recommended citation: Joshua Brakensiek, Manik Dhar, Sivakanth Gopi, Zihan Zhang, "AG codes achieve list decoding capacity over constant-sized fields." Proceedings of the 56th Annual ACM Symposium on Theory of Computing, 2024.
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Differentially private synthetic data via foundation model apis 1: Images
Published in International Conference on Learning Representations (ICLR), 2024
Recommended citation: Zinan Lin, Sivakanth Gopi, Janardhan Kulkarni, Harsha Nori, Sergey Yekhanin, "Differentially private synthetic data via foundation model apis 1: Images." International Conference on Learning Representations (ICLR), 2024.
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Differentially private synthetic data via foundation model apis 2: Text
Published in International Conference on Machine Learning (ICML), 2024
Recommended citation: Chulin Xie, Zinan Lin, Arturs Backurs, Sivakanth Gopi, Da Yu, Huseyin Inan, Harsha Nori, Haotian Jiang, Huishuai Zhang, Yin Lee, et al., "Differentially private synthetic data via foundation model apis 2: Text." International Conference on Machine Learning (ICML), 2024.
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Generalized GM-MDS: Polynomial Codes are Higher Order MDS
Published in Proceedings of the 56th Annual ACM Symposium on Theory of Computing, 2024
Recommended citation: Joshua Brakensiek, Manik Dhar, Sivakanth Gopi, "Generalized GM-MDS: Polynomial Codes are Higher Order MDS." Proceedings of the 56th Annual ACM Symposium on Theory of Computing, 2024.
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Improved field size bounds for higher order MDS codes
Published in IEEE Transactions on Information Theory, 2024
Recommended citation: Joshua Brakensiek, Manik Dhar, Sivakanth Gopi, "Improved field size bounds for higher order MDS codes." IEEE Transactions on Information Theory, 2024.
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Privacy-preserving in-context learning with differentially private few-shot generation
Published in International Conference on Learning Representations (ICLR), 2024
Recommended citation: Xinyu Tang, Richard Shin, Huseyin Inan, Andre Manoel, Fatemehsadat Mireshghallah, Zinan Lin, Sivakanth Gopi, Janardhan Kulkarni, Robert Sim, "Privacy-preserving in-context learning with differentially private few-shot generation." International Conference on Learning Representations (ICLR), 2024.
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Ranking with Multiple Objectives
Published in arXiv preprint arXiv:2410.12139, 2024
Recommended citation: Nikhil Devanur, Sivakanth Gopi, "Ranking with Multiple Objectives." arXiv preprint arXiv:2410.12139, 2024.
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Rigidity matroids and linear algebraic matroids with applications to matrix completion and tensor codes
Published in arXiv preprint arXiv:2405.00778, 2024
Recommended citation: Joshua Brakensiek, Manik Dhar, Jiyang Gao, Sivakanth Gopi, Matt Larson, "Rigidity matroids and linear algebraic matroids with applications to matrix completion and tensor codes." arXiv preprint arXiv:2405.00778, 2024.
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Selective pre-training for private fine-tuning
Published in Transactions on Machine Learning Research (TMLR), 2024
Recommended citation: Da Yu, Sivakanth Gopi, Janardhan Kulkarni, Zinan Lin, Saurabh Naik, Tomasz Religa, Jian Yin, Huishuai Zhang, "Selective pre-training for private fine-tuning." Transactions on Machine Learning Research (TMLR), 2024.
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Privacy preserving user personalization using noisy ranking
Published in US Patent App. 18/301,943, 2024
US Patent App. 18/301,943
Recommended citation: Erik Anderson, Joseph PFEIFFER, Denis Charles, Aleksandr Rebrikov, John Mooring, Brandon Maslen, Davis Gilton, Sergey Yekhanin, Sivakanth Gopi, "Privacy preserving user personalization using noisy ranking." US Patent App. 18/301,943, 2024.
A Geometric Perspective on the Injective Norm of Sums of Random Tensors
Published in Symposium of Theory of Computing (STOC), 2025
Recommended citation: Afonso Bandeira, Sivakanth Gopi, Haotian Jiang, Kevin Lucca, Thomas Rothvoss, "A Geometric Perspective on the Injective Norm of Sums of Random Tensors." Symposium of Theory of Computing (STOC), 2025.
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DiscQuant: A Quantization Method for Neural Networks Inspired by Discrepancy Theory
Published in Conference on Learning Theory (COLT), 2025
Recommended citation: Jerry Chee, Arturs Backurs, Rainie Heck, Li Zhang, Janardhan Kulkarni, Thomas Rothvoss, Sivakanth Gopi, "DiscQuant: A Quantization Method for Neural Networks Inspired by Discrepancy Theory." Conference on Learning Theory (COLT), 2025.
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On the Emergence of Thinking in LLMs I: Searching for the Right Intuition
Published in arXiv preprint arXiv:2502.06773, 2025
Recommended citation: Guanghao Ye, Khiem Pham, Xinzhi Zhang, Sivakanth Gopi, Baolin Peng, Beibin Li, Janardhan Kulkarni, Huseyin Inan, "On the Emergence of Thinking in LLMs I: Searching for the Right Intuition." arXiv preprint arXiv:2502.06773, 2025.
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talks
2-Server PIR with Sub-polynomial Communication
Published:
Zeev Dvir, Sivakanth Gopi, "2-server PIR with subpolynomial communication." Journal of the ACM (JACM), 2016 and winner of STOC 2015 Best Paper Award. See link for a longer version given by Zeev.
Maximally Recoverable Local Reconstruction Codes
Published:
Sivakanth Gopi, Venkatesan Guruswami, Sergey Yekhanin, "Maximally recoverable LRCs: A field size lower bound and constructions for few heavy parities", IEEE Transactions on Information Theory, 2020.
CSPs with Global Modular Constraints
Published:
Joshua Brakensiek, Sivakanth Gopi, Venkatesan Guruswami, "CSPs with global modular constraints: algorithms and hardness via polynomial representations," STOC 2019.
Spanoids - An Abstraction of Spanning Structures, and a Barrier for LCCs
Published:
Zeev Dvir, Sivakanth Gopi, Yuzhou Gu, Avi Wigderson, "Spanoids—An Abstraction of Spanning Structures, and a Barrier for LCCs." SIAM Journal on Computing, 2020.
Fast and Memory Efficient Differentially Private-SGD via JL Projections
Published:
Zhiqi Bu, Sivakanth Gopi, Janardhan Kulkarni, Yin Lee, Hanwen Shen, Uthaipon Tantipongpipat, "Fast and memory efficient differentially private-sgd via jl projections", NeurIPS 2021.
Private Convex Optimization via Exponential Mechanism
Published:
Sivakanth Gopi, Yin Lee, Daogao Liu, "Private convex optimization via exponential mechanism", COLT 2022.
Privacy-Preserving Machine Learning
Published:
A general audience talk on privacy preserving machine learning, specifically on differentially private deep learning.
Differentially Private Synthetic Data via Foundation Model APIs
Published:
Zinan Lin, Sivakanth Gopi, Janardhan Kulkarni, Harsha Nori, Sergey Yekhanin, "Differentially private synthetic data via foundation model apis 1: Images", ICLR 2024.
Higher Order MDS Codes
Published:
Joshua Brakensiek, Sivakanth Gopi, Visu Makam, "Generic reed-solomon codes achieve list-decoding capacity", STOC 2023. Joshua Brakensiek, Manik Dhar, Sivakanth Gopi, "Generalized GM-MDS: Polynomial Codes are Higher Order MDS", STOC 2024. Joshua Brakensiek, Manik Dhar, Sivakanth Gopi, Zihan Zhang, "AG codes achieve list decoding capacity over constant-sized fields", STOC 2024.
teaching
Modern Coding Theory
Graduate course, University of Washington, Department of Computer Science, 2019
This graduate course is an introduction to modern topics in Coding Theory. Our goal is to introduce the basic concepts of error correcting codes, and then delve into some advanced topics. This was cotaught with Anup Rao in Fall 2019 at University of Washington. Lecture Notes