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Adaptive Control of Differentially Private Linear Quadratic Systems

Chowdhury, SR and Zhou, X and Shroff, N (2021) Adaptive Control of Differentially Private Linear Quadratic Systems. In: 2021 IEEE International Symposium on Information Theory, ISIT 2021, 12-20 Jul 2021, Melbourne, pp. 485-490.

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Official URL: https://doi.org/10.1109/ISIT45174.2021.9518203


In this paper we study the problem of regret minimization in reinforcement learning (RL) under differential privacy constraints. This work is motivated by the wide range of RL applications for providing personalized service, where privacy concerns are becoming paramount. In contrast to previous works, we take the first step towards non-tabular RL settings, while providing a rigorous privacy guarantee. In particular, we consider the adaptive control of differentially private linear quadratic (LQ) systems. We develop the first private RL algorithm, Private-OFU-RL which is able to attain a sub-linear regret while guaranteeing privacy protection. More importantly, the additional cost due to privacy is only on the order of \fracłn(1/δ)1/4\varepsilon1/2 given privacy parameters \varepsilon, δ > 0. Through this process, we also provide a general procedure for adaptive control of LQ systems under changing regularizers, which not only generalizes previous non-private controls, but also serves as the basis for general private controls. © 2021 IEEE., keywords=Control theory; Information theory; Privacy by design; Reinforcement learning, Adaptive Control; Additional costs; Differential privacies; Linear quadratic; Personalized service; Privacy concerns; Privacy protection; Regret minimization, Adaptive control systems, fundingdetails1=National Science FoundationNational Science Foundation, NSF, CNS-1901057, CNS-2007231, fundingdetails2=Office of Naval ResearchOffice of Naval Research, ONR, N00014-17-1-241, fundingtext1=However, in most practical scenarios, the feedback from the users often encodes their sensitive information. For example, in a personalized healthcare setting, the states of a patient include personal information such as age, gender, height, weight, state of the treatment etc. Similarly, the states of a virtual keyboard user (e.g., â��Equal contribution. This work was funded in part through NSF grants: CNS-1901057 and CNS-2007231, and an Office of Naval Research under Grant N00014-17-1-241 Google GBoard users) are the words and sentences she typed in, which inevitably contain private information about the user. Another intriguing example is the social robot for second language education of children. The states include facial expressions, and the rewards contain whether they have passed the quiz. Users may not want any of this information to be inferred by others. This directly results in an increasing concern about privacy protection in personalized services. To be more specific, although a user might be willing to share her own information to the agent to obtain a better tailored service, she would not like to allow third parties to infer her private information from the output of the learning algorithm. For example, in the healthcare application, we would like to ensure that an adversary with arbitrary side knowledge cannot infer a particular patientâ��s state from the treatments prescribed to her., references=1. Li, L., Chu, W., Langford, J., Schapire, R.E., A contextualbandit approach to personalized news article recommendation (2010) Proceedings of the 19th International Conference on World Wide Web, pp. 661-670; 2. Zhao, Y., Kosorok, M.R., Zeng, D., Reinforcement learning design for cancer clinical trials (2009) Statistics in Medicine, 28 (26), pp. 3294-3315; 3. Sharma, A.R., Kaushik, P., Literature survey of statistical, deep and reinforcement learning in natural language processing (2017) 2017 International Conference on Computing, Communication and Automation (ICCCA, pp. 350-354; 4. Gordon, G., Spaulding, S., Westlund, J.K., Lee, J.J., Plummer, L., Martinez, M., Das, M., Breazeal, C., Affective personalization of a social robot tutor for children's second language skills (2016) Proceedings of the Aaai Conference on Artificial Intelligence, 30 (1); 5. Dwork, C., Differential privacy: A survey of results (2008) International Conference on Theory and Applications of Models of Computation, pp. 1-19. , Springer; 6. Tossou, A., Dimitrakakis, C., Algorithms for differentially private multi-armed bandits (2016) Proceedings of the Aaai Conference on Artificial Intelligence, 30 (1); 7. Achieving privacy in the adversarial multi-armed bandit (2017) Proceedings of the Aaai Conference on Artificial Intelligence, 31 (1); 8. Basu, D., Dimitrakakis, C., Tossou, A., (2019) Differential Privacy for Multi-armed Bandits: What Is It and What Is Its Cost?; 9. Mishra, N., Thakurta, A., (nearly) optimal differentially private stochastic multi-arm bandits (2015) Proceedings of the Thirty-First Conference on Uncertainty in Artificial Intelligence, pp. 592-601; 10. Zhou, X., Tan, J., Local Differential Privacy for Bayesian Optimization, p. 2020; 11. Balle, B., Gomrokchi, M., Precup, D., Differentially private policy evaluation (2016) International Conference on Machine Learning. Pmlr, pp. 2130-2138; 12. Vietri, G., Balle, B., Krishnamurthy, A., Wu, S., Private reinforcement learning with pac and regret guarantees (2020) International Conference on Machine Learning. Pmlr, pp. 9754-9764; 13. Garcelon, E., Perchet, V., Pike-Burke, C., Pirotta, M., Local Differentially Private Regret Minimization in Reinforcement Learning, p. 2020; 14. Abbasi-Yadkori, Y., Szepesvári, C., Regret bounds for the adaptive control of linear quadratic systems (2011) Proceedings of the 24th Annual Conference on Learning Theory, pp. 1-26; 15. Osband, I., Roy, B.V., Model-based reinforcement learning and the eluder dimension (2014) Proceedings of the 27th International Conference on Neural Information Processing Systems, 1, pp. 1466-1474; 16. Chowdhury, S.R., Gopalan, A., Online learning in kernelized markov decision processes (2019) The 22nd International Conference on Artificial Intelligence and Statistics. Pmlr, pp. 3197-3205; 17. Wang, T., Yang, L.F., Episodic Linear Quadratic Regulators with Low-rank Transitions, p. 2020; 18. Jin, C., Yang, Z., Wang, Z., Jordan, M.I., Provably efficient reinforcement learning with linear function approximation (2020) Conference on Learning Theory, pp. 2137-2143; 19. Bertsekas, D., Dynamic programming and optimal control (2004) Athena Scientific Belmont, , MA, 3 edition; 20. Dwork, C., Roth, A., (2014) The Algorithmic Foundations of Differential Privacy; 21. Kearns, M., Pai, M., Roth, A., Ullman, J., Mechanism design in large games: Incentives and privacy (2014) Proceedings of the 5th Conference on Innovations in Theoretical Computer Science, pp. 403-410; 22. Bun, M., Steinke, T., Concentrated differential privacy: Simplifications, extensions, and lower bounds (2016) Theory of Cryptography Conference, pp. 635-658. , Springer; 23. Abbasi-Yadkori, Y., Pál, D., Szepesvári, C., Improved algorithms for linear stochastic bandits (2011) Advances in Neural Information Processing Systems, pp. 2312-2320; 24. Chan, T.-H.H., Shi, E., Song, D., Private and continual release of statistics (2011) Acm Transactions on Information and System Security (TISSEC, 14 (3), pp. 1-24; 25. Hsu, J., Huang, Z., Roth, A., Roughgarden, T., Wu, Z.S., Private matchings and allocations (2016) Siam Journal on Computing, 45 (6), pp. 1953-1984; 26. Vershynin, R., (2018) High-dimensional Probability: An Introduction with Applications in Data Science, 47. , Cambridge university press; 27. Laurent, B., Massart, P., Adaptive estimation of a quadratic functional by model selection (2000) Annals of Statistics, pp. 1302-1338, sponsors=IEEE Information Theory Society; The Institute of Electrical and Electronics Engineers, publisher=Institute of Electrical and Electronics Engineers Inc., issn=21578095, isbn=9781538682098, coden=PISTF, language=English, abbrevsourcetitle=IEEE Int Symp Inf Theor Proc, documenttype=Conference Paper, source=Scopus, @CONFERENCEVippathalla20211624, author=Vippathalla, PK and Chan, C and Kashyap, N and Zhou, Q, title=Secret Key Agreement and Secure Omniscience of Tree-PIN Source with Linear Wiretapper, journal=IEEE International Symposium on Information Theory - Proceedings, year=2021, volume=2021-July, pages=1624-1629, doi=https://doi.org/10.1109/ISIT45174.2021.9518075, note=The copyright for this article belongs to , url=https://www.scopus.com/inward/record.uri?eid=2-s2.0-85115053045&doi=10.11092fISIT45174.2021.9518075&partnerID=40&md5=76cafccf7a606fd4fc82a6b0c54bf9f7, affiliation=Indian Institute of Science, Department of Electrical Communication Engineering, Bangalore, 560012, India, abstract=In this paper, we obtain a single-letter characterization of the wiretap secret key capacity for a large class of multiterminal source models (namely, tree-PIN models) with a linear wiretapper that can observe arbitrary linear combinations of the source. For this class of sources, we also show a duality between the problems of wiretap secret key agreement and secure omniscience, which suggests that such duality potentially holds for more general sources. © 2021 IEEE., keywords=Forestry; Information theory, General source; Linear combinations; Multi terminals; Secret key agreement; Secret key capacities; Source models, Cryptography, fundingdetails1=21203318, fundingdetails2=Department of Science and Technology, Ministry of Science and Technology, IndiaDepartment of Science and Technology, Ministry of Science and Technology, India, डà¥�à¤�सà¤�à¥�, fundingtext1=C. Chan (email: chung.chan@cityu.edu.hk) is with the Department of Computer Science, City University of Hong Kong. His work is supported by a grant from the University Grants Committee of the Hong Kong Special Administrative Region, China (Project No. 21203318)., fundingtext2=N. Kashyap (nkashyap@iisc.ac.in) and Praneeth Kumar V. (pra-neethv@iisc.ac.in) are with the Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore 560012. Their work was supported in part by a Swarnajayanti Fellowship awarded to N. Kashyap by the Department of Science & Technology (DST), Government of India., references=1. Csiszar, I., Narayan, P., Secrecy capacities for multiple terminals (2004) IEEE Transactions on Information Theory, 50 (12), pp. 3047-3061; 2. Gohari, A.A., Anantharam, V., Information-theoretic key agreement of multiple terminals-part i (2010) IEEE Transactions on Information Theory, 56 (8), pp. 3973-3996; 3. Poostindouz, A., Safavi-Naini, R., Wiretap secret key capacity of tree-pin (2019) 2019 IEEE International Symposium on Information Theory (ISIT, pp. 315-319; 4. Chan, C., Kashyap, N., Vippathalla, P.K., Zhou, Q., Secure information exchange for omniscience (2020) 2020 IEEE International Symposium on Information Theory (ISIT, pp. 966-971; 5. Nitinawarat, S., Ye, C., Barg, A., Narayan, P., Reznik, A., Secret key generation for a pairwise independent network model (2010) IEEE Transactions on Information Theory, 56 (12), pp. 6482-6489; 6. Chan, C., Mukherjee, M., Kashyap, N., Zhou, Q., Upper bounds via lamination on the constrained secrecy capacity of hypergraphical sources (2019) IEEE Transactions on Information Theory, 65 (8), pp. 5080-5093; 7. Zhou, Q., Chan, C., Yeung, R.W., On the discussion rate region for the pin model (2020) 2020 IEEE International Symposium on Information Theory (ISIT, pp. 955-959; 8. Yan, M., Sprintson, A., Algorithms for weakly secure data exchange (2013) 2013 International Symposium on Network Coding (NetCod, pp. 1-6; 9. Courtade, T.A., Halford, T.R., Coded cooperative data exchange for a secret key (2016) IEEE Transactions on Information Theory, 62 (7), pp. 3785-3795; 10. Chan, C., Zheng, L., Mutual dependence for secret key agreement (2010) 2010 44th Annual Conference on Information Sciences and Systems (CISS, pp. 1-6; 11. Chan, C., Mukherjee, M., Kashyap, N., Zhou, Q., Multiterminal secret key agreement at asymptotically zero discussion rate (2018) 2018 IEEE International Symposium on Information Theory (ISIT, pp. 2654-2658; 12. Maurer, U.M., Wolf, S., Unconditionally secure key agreement and the intrinsic conditional information (1999) IEEE Transactions on Information Theory, 45 (2), pp. 499-514; 13. Vippathalla, P.K., Chan, C., Kashyap, N., Zhou, Q., (2021) Secret Key Agreement and Secure Omniscience of Tree-PIN Source with Linear Wiretapper, , https://arxiv.org/abs/2102.01771; 14. Nitinawarat, S., Narayan, P., Perfect omniscience, perfect secrecy, and steiner tree packing (2010) IEEE Transactions on Information Theory, 56 (12), pp. 6490-6500, sponsors=IEEE Information Theory Society; The Institute of Electrical and Electronics Engineers, publisher=Institute of Electrical and Electronics Engineers Inc., issn=21578095, isbn=9781538682098, coden=PISTF, language=English, abbrevsourcetitle=IEEE Int Symp Inf Theor Proc, documenttype=Conference Paper, source=Scopus, @CONFERENCEKumar20211665, author=Kumar, PV and Dharmappa, D and Mishra, S, title=Interleaved Z₄-Linear Sequences with Improved Correlation for Satellite Navigation, journal=IEEE International Symposium on Information Theory - Proceedings, year=2021, volume=2021-July, pages=1665-1670, doi=https://doi.org/10.1109/ISIT45174.2021.9518159, note=The copyright for this article belongs to , url=https://www.scopus.com/inward/record.uri?eid=2-s2.0-85115048248&doi=10.11092fISIT45174.2021.9518159&partnerID=40&md5=23365cdf7335cd7a13a3bb0494239adc, affiliation=Indian Institute of Science, Electrical Communication Engineering, Bengaluru, India; Isro Telemetry, Tracking and Command Network, Isro, Bengaluru, India; Space Applications Centre, Indian Space Research Organization, Ahmedabad, India, abstract=Global Navigation Satellite Systems (GNSSs) typically use low-correlation sequences that have length related to the common clock frequency of 10.23 MHz. In particular, operations in the L1 frequency band, of two major GNSS systems, the Global Positioning System (GPS) and BeiDou Navigation Satellite System (BDS), employ spreading sequences having length 10230. In these two systems, the length 10230 is achieved by padding and truncating respectively, a family of Weil sequences having period that is a prime number, either 10223 or 10243. As is well known, either truncation or padding leads in general, to a degradation in correlation performance. In the present paper, we adopt a different approach, and present the design of a family of Interleaved Z₄-linear (IZ4) sequences having period exactly equal to 10230. Closed-form expressions for the correlation properties of the sequence family are included. The balance and even-correlation performance of the new family equals or improves upon the corresponding performance of the GPS and BDS signal sets. In particular, the new IZ4 family has maximum even cross-correlation value that is better by 4.4 dB, than that of the truncated or padded Weil sequences employed in these two systems. The sequence family also turns in comparable odd-correlation performance. The sequences can be generated using a simple, shift-register-based implementation presented here. © 2021 IEEE., keywords=Communication satellites; Information theory; Radio navigation; Satellites; Shift registers, Beidou navigation satellite systems; Closed-form expression; Correlation performance; Correlation properties; Cross-correlation value; Global Navigation Satellite Systems; Satellite navigation; Spreading sequences, Global positioning system, fundingtext1=This research of P. Vijay Kumar is supported by the J C Bose National Fellowship JCB/2017/000017., references=1. Gold, R., Optimal binary sequences for spread spectrum multiplexing (1967) IEEE Trans. Inform. Theory, 13, pp. 619-621. , Oct; 2. Gold, R., Maximal recursive sequences with 3-valued recursive crosscorrelation functions (1968) IEEE Trans. Inform. Theory, 14, pp. 154-156. , Jan; 3. Kasami, T., Weight distribution formula for some class of cyclic codes (1966) Coordinated Science Laboratory, , University of Illinois, Urbana, Tech. Rep. R-285 AD632574; 4. Kasami, T., Weight distribution of bose-chaudhuri-hocquenghem codes (1969) Combinatorial Mathematics and Its Applications, , Chapel Hill, NC: University of North Carolina Press; 5. Olsen, J.D., Scholtz, R.A., Welch, L.R., Bentfunction sequences (1982) IEEE Trans. Inform. Th, pp. 858-864; 6. No, J., Kumar, P.V., A new family of binary pseudorandom sequences having optimal periodic correlation properties and larger linear span (1989) IEEE Transactions on Information Theory, 35 (2), pp. 371-379. , March; 7. Nechaev, A.A., Kerdock code in a cyclic form (1991) Disc. Math. Appl, 1 (4), pp. 365-384; 8. Boztas, S., Kumar, P.V., Binary sequences with goldlike correlation but larger linear span (1994) IEEE Trans. On Inform. Theory, 40, pp. 532-537. , March; 9. Barg, A., Two families of low-correlated sequences (1996) Applicable Algebra in Engineering, Communications and Computing, pp. 433-437; 10. Udaya, P., Siddiqi, M.U., Optimal biphase sequences with larger linear complexity derived from sequences over z4 (1996) IEEE Trans. Inform. Th, pp. 206-216. , Jan; 11. Helleseth, T., Kumar, P.V., Sequences with low correlation (1998) Handbook of Coding Theory, , edited by V. Pless and C. Huffman, Elsevier Science Publishers; 12. Tang, X., Udaya, P., Fan, P., Generalized binary udaya-siddiqi sequences (2007) IEEE Trans. Inform. Theory, 53 (3), pp. 1225-1230. , March; 13. Hammons, A.R., Jr., Vijay Kumar, P., Calderbank, A.R., Sloane, N.J.A., Solè, P., The z4-linearity of z4-linear preparata, goethals and related codes (1994) IEEE Trans. On Inform. Theory, 40, pp. 301-319. , March; 14. Gong, G., New designs for signal sets with low cross correlation, balance property, and large linear span: Gf(p) case (2002) IEEE Transactions on Information Theory, 48 (11), pp. 2847-2867. , Nov; 15. Paterson, K.G., Binary sequence sets with favorable correlations from difference sets and MDS codes (1998) IEEE Transactions on Information Theory, 44, pp. 172-180; 16. Rushanan, J.J., Weil sequences: A family of binary sequences with good correlation properties (2006) IEEE Isit, pp. 1648-1652. , July 9-14; 17. Rushanan, J., The spreading and overlay codes for the l1c signal (2007) Journal of Navigation, 54, pp. 43-51; 18. Rushanan, J.J., (2009) Spreading Code Derived from Weil Sequences, , U.S. Patent No. US 7, 511, 637 B2 Mar 31; 19. Guohua, Z., Quan, Z., Pseudonoise codes constructed by legendre sequence (2001) Electronics Letters, 38 (8), pp. 376-377; 20. (2017) BeiDou Navigation Satellite System Signal in Space Interface Control Document, , China Satellite Navigation Office, Aug; 21. Vijay Kumar, P., Dharmappa, D., Mishra, S., (2021) Method and System for Generating Spreading Codes Based on Interleaved Z4-linear Sequences for Navigation Systems, , Indian patent application number 202041006792, provisional filing on Feb. 17, 2020, complete specification filed on Feb. 15; 22. Vijay Kumar, P., Dharmappa, D., Mishra, S., Method and system for generating spreading codes based on interleaved z4-linear sequences for navigation systems (2021) Pct Filing, , international application number PCT/IN2021/050147, Feb. 16; 23. Welch, L.R., Lower bounds on the minimum correlation of signals (1974) IEEE Transactions on Information Theory; 24. Wallner, S., (2018) Navigation System Using Spreading Codes Based on Pseudo-Random Noise Sequences, , U.S. patent No. US 10, 088, 573 B2, Oct. 2; 25. (2013) Navstar GPS Space Segment/User Segment L1C Interfaces, , Interface specification IS-GPS-800D, " Sep. 24; 26. MacDonald, B.R., (1974) Finite Rings with Identity, , New York: Marcel Dekker; 27. Kumar, P.V., Helleseth, T., Calderbank, A.R., An upper bound for Weil exponential sums over Galois rings and applications (1995) IEEE Trans. On Inform. Theory, 41, pp. 456-468. , March; 28. Yang, K., Helleseth, T., Kumar, P.V., Shanbhag, A., The weight hierarchy of z4-linear codes over z4 (1996) IEEE Trans. Inform. Theory, 42, pp. 1587-1593. , Sep; 29. Weil, A., Sur les courbes algebriques et les varietes qui s'en deduisent (1945) Publ. Inst. Math. Univ. Strasbourg, 7, pp. 1-85; 30. Weil, A., On some exponential sums (1948) Proc. Nat. Acad. Sci, 34, pp. 204-207; 31. Moreno, O., Zhang, Z., Kumar, P.V., Zinoviev, V., New constructions of optimal cyclically permutable constant weight codes (1995) IEEE Trans. On Inform. Theory, 41, pp. 448-455. , March, sponsors=IEEE Information Theory Society; The Institute of Electrical and Electronics Engineers, publisher=Institute of Electrical and Electronics Engineers Inc., issn=21578095, isbn=9781538682098, coden=PISTF, language=English, abbrevsourcetitle=IEEE Int Symp Inf Theor Proc, documenttype=Conference Paper, source=Scopus, @CONFERENCEKanukurthi2021, author=Kanukurthi, B and Bhavana Obbattu, SL and Sekar, S and Tomy, J, title=Locally reconstructable non-malleable secret sharing, journal=Leibniz International Proceedings in Informatics, LIPIcs, year=2021, volume=199, doi=https://doi.org/10.4230/LIPIcs.ITC.2021.11, artnumber=11, note=The copyright for this article belongs to , url=https://www.scopus.com/inward/record.uri?eid=2-s2.0-85115346304&doi=10.42302fLIPIcs.ITC.2021.11&partnerID=40&md5=cbe3de861f3f970f881f1154c221b2f0, affiliation=Department of Computer Science and Automation, Indian Institute of Science, Bangalore, India; Microsoft Research, Bangalore, India; Department of Mathematics, Indian Institute of Science, Bangalore, India, abstract=Non-malleable secret sharing (NMSS) schemes, introduced by Goyal and Kumar (STOC 2018), ensure that a secret m can be distributed into shares m1, · · ·, mn (for some n), such that any t (a parameter â�¤ n) shares can be reconstructed to recover the secret m, any t â�� 1 shares doesn't leak information about m and even if the shares that are used for reconstruction are tampered, it is guaranteed that the reconstruction of these tampered shares will either result in the original m or something independent of m. Since their introduction, non-malleable secret sharing schemes sparked a very impressive line of research. In this work, we introduce a feature of local reconstructability in NMSS, which allows reconstruction of any portion of a secret by reading just a few locations of the shares. This is a useful feature, especially when the secret is long or when the shares are stored in a distributed manner on a communication network. In this work, we give a compiler that takes in any non-malleable secret sharing scheme and compiles it into a locally reconstructable non-malleable secret sharing scheme. To secret share a message consisting of k blocks of length Ï� each, our scheme would only require reading Ï� + log k bits (in addition to a few more bits, whose quantity is independent of Ï� and k) from each party's share (of a reconstruction set) to locally reconstruct a single block of the message. We show an application of our locally reconstructable non-malleable secret sharing scheme to a computational non-malleable secure message transmission scheme in the pre-processing model, with an improved communication complexity, when transmitting multiple messages. © 2021 Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing. All rights reserved., authorkeywords=Information theoretic cryptography; Local reconstructability; Non-malleability; Secret sharing, keywords=Automata theory; Transmissions, Communications networks; Information-theoretic cryptography; Local reconstructability; Non-malleability; Non-malleable; Reconstructable; Secret sharing schemes; Secret-sharing; Secure message transmission; Transmission schemes, Information theory, fundingdetails1=Microsoft ResearchMicrosoft Research, MSR, fundingdetails2=Tata Consultancy ServicesTata Consultancy Services, TCS, fundingtext1=Funding Bhavana Kanukurthi: Microsoft Research Grant. Sruthi Sekar: Research supported in part by TCS Research Grant., references=1. Aggarwal, Divesh, Agrawal, Shashank, Gupta, Divya, Maji, Hemanta K., Pandey, Omkant, Prabhakaran, Manoj, Optimal computational split-state non-malleable codes (2016) Theory of Cryptography - 13th International Conference, pp. 393-417. , TCC 2016-A, Tel Aviv, Israel, January 10-13, Proceedings, Part II, pages 2016; 2. Aggarwal, Divesh, DamgÃ¥rd, Ivan, Nielsen, Jesper Buus, Obremski, Maciej, Purwanto, Erick, Ribeiro, João L., Simkin, Mark, Stronger leakage-resilient and non-malleable secret sharing schemes for general access structures Advances in Cryptology - CRYPTO 2019 - 39th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 18-22, 2019, Proceedings, Part II, volume 11693 of Lecture Notes in Computer Science, pp. 510-539. , Alexandra Boldyreva and Daniele Micciancio, editors, pages Springer, 2019; 3. Badrinarayanan, Saikrishna, Srinivasan, Akshayaram, Revisiting non-malleable secret sharing Advances in Cryptology - EURO-CRYPT 2019 - 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Darmstadt, Germany, May 19-23, 2019, Proceedings, Part I, volume 11476 of Lecture Notes in Computer Science, pp. 593-622. , Yuval Ishai and Vincent Rijmen, editors, pages Springer, 2019; 4. Bellare, Mihir, Namprempre, Chanathip, Authenticated encryption: Relations among notions and analysis of the generic composition paradigm (2000) International Conference on the Theory and Application of Cryptology and Information Security, pp. 531-545. , Springer; 5. Bellare, Mihir, Rogaway, Phillip, Encode-then-encipher encryption: How to exploit nonces or redundancy in plaintexts for efficient cryptography (2000) International Conference on the Theory and Application of Cryptology and Information Security, pp. 317-330. , Springer; 6. Blakley, G.R., Safeguarding cryptographic keys (1979) Proceedings of the 1979 AFIPS National Computer Conference, pp. 313-317. , Monval, NJ, USA, AFIPS Press; 7. Brian, Gianluca, Faonio, Antonio, Obremski, Maciej, Simkin, Mark, Venturi, Daniele, Non-malleable secret sharing against bounded joint-tampering attacks in the plain model Advances in Cryptology - CRYPTO 2020 - 40th Annual International Cryptology Conference, CRYPTO 2020, Santa Barbara, CA, USA, August 17-21, 2020, Proceedings, Part III, volume 12172 of Lecture Notes in Computer Science, pp. 127-155. , Daniele Micciancio and Thomas Ristenpart, editors, pages Springer, 2020; 8. Brian, Gianluca, Faonio, Antonio, Venturi, Daniele, Continuously non-malleable secret sharing for general access structures Theory of Cryptography - 17th International Conference, TCC 2019, Nuremberg, Germany, December 1-5, 2019, Proceedings, Part II, volume 11892 of Lecture Notes in Computer Science, pp. 211-232. , Dennis Hofheinz and Alon Rosen, editors, pages Springer, 2019; 9. Chandran, Nishanth, Kanukurthi, Bhavana, Obbattu, Sai Lakshmi Bhavana, Sekar, Sruthi, Constant rate (non-malleable) secret sharing schemes tolerating joint adaptive leakage (2020) Cryptology ePrint Archive, , https://eprint.iacr.org/2020/1252, Report 2020/1252; 10. Chandran, Nishanth, Kanukurthi, Bhavana, Ostrovsky, Rafail, Locally updatable and locally decodable codes (2014) Theory of Cryptography, pp. 489-514. , Yehuda Lindell, editor, pages Berlin, Heidelberg, Springer Berlin Heidelberg; 11. Chandran, Nishanth, Kanukurthi, Bhavana, Raghuraman, Srinivasan, Information-theoretic local non-malleable codes and their applications Theory of Cryptography - 13th International Conference, TCC 2016-A, Tel Aviv, Israel, January 10-13, 2016, Proceedings, Part II, volume 9563 of Lecture Notes in Computer Science, pp. 367-392. , Eyal Kushilevitz and Tal Malkin, editors, pages Springer, 2016; 12. Chattopadhyay, Eshan, Goodman, Jesse, Goyal, Vipul, Li, Xin, Leakage-resilient extractors and secret-sharing against bounded collusion protocols (2020) Electron. Colloquium Comput. Complex, 27, p. 60. , https://eccc.weizmann.ac.il/report/2020/060; 13. Coretti, Sandro, Faonio, Antonio, Venturi, Daniele, Rate-optimizing compilers for continuously non-malleable codes Applied Cryptography and Network Security - 17th International Conference, ACNS 2019, Bogota, Colombia, June 5-7, 2019, Proceedings, volume 11464 of Lecture Notes in Computer Science, pp. 3-23. , Robert H. 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Wang, Yongge, Desmedt, Yvo, Perfectly secure message transmission revisited (2008) IEEE Trans. Inf. Theory, 54 (6), pp. 2582-2595, correspondenceaddress1=Kanukurthi, B.; Department of Computer Science and Automation, India; Bhavana Obbattu, S.L.; Microsoft ResearchIndia; Sekar, S.; Department of Mathematics, India; Tomy, J.; Department of Computer Science and Automation, India, editor=Tessaro S., publisher=Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, issn=18688969, isbn=9783959771979, language=English, abbrevsourcetitle=Leibniz Int. Proc. Informatics, LIPIcs, documenttype=Conference Paper, source=Scopus, @BOOKSetturu20211, author=Setturu, B and Rajan, KS and Ramachandra, TV, title=Modeling Forest Landscape Dynamics, journal=Modeling Forest Landscape Dynamics, year=2021, pages=1-249, note=The copyright for this article belongs to , url=https://www.scopus.com/inward/record.uri?eid=2-s2.0-85115213459&partnerID=40&md5=dd597df5a962a12d9a8e6527a4ba51b1, affiliation=Energy and Wetlands Research Group (EWRG), Centre for Ecological Sciences, Indian Institute of Science, Bangalore, India; Lab for Spatial Informatics (LSI), International Institute of Information Technology, Andhra Pradesh, India; Energy and Wetlands Research Group (EWRG), Convener of Environmental Information System (ENVIS), Centre for Ecological Sciences (CES), Bengaluru, India, abstract=The landscape is a mosaic of ecosystem elements, which changes in size, shape, spatial arrangement, and quality of the patches/elements due to complex, multi-scalar processes which influence the ecosystem's biotic components. The changes in the abiotic and biotic assets of a landscape are referred to as landscape dynamics. Changes in the structure of the landscape will have implications on ecosystem functions and processes. Landscape dynamics driven by land use land cover (LULC) changes due to anthropogenic activities are affecting ecology, biodiversity, hydrological regime, and hence people's livelihood. There has been increasing apprehensions about environmental degradation, depletion of natural resources due to uncontrolled anthropogenic activities, and their consequences on long-term sustainability of socio-economic systems around the world. This necessitates an understanding of landscape dynamics and the visualization of likely changes for evolving appropriate strategies for prudent management of natural resources. This publication provides insights to LULC dynamics of forest ecosystems, which will help in the prudent management of ecosystems. © 2021 by Nova Science Publishers, Inc. 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Item Type: Conference Paper
Publication: IEEE International Symposium on Information Theory - Proceedings
Publisher: Institute of Electrical and Electronics Engineers Inc.
Additional Information: The copyright for this article belongs to Authors
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 29 Nov 2021 11:16
Last Modified: 29 Nov 2021 11:16
URI: http://eprints.iisc.ac.in/id/eprint/70264

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