Abstract: Function-Correcting Codes (FCCs) enable reliable recovery of a function of the transmitted message without requiring full message reconstruction. Under classical bit-flip noise models, all FCCs with the same function-correcting capability are considered equivalent, as performance depends only on satisfying the required Hamming distance constraints. However, this equivalence breaks down over the AWGN channel, where decoding operates on Euclidean geometry and finer distance-spectrum properties become critical.
In this talk, we highlight how different FCCs with identical function-correcting guarantees can exhibit markedly different performance under both soft-decision and hard-decision decoding. In particular, while soft-decision performance is governed by pairwise distance distributions, hard-decision decoding introduces additional dependencies on local Hamming neighborhoods and decision-region geometry. As a result, the choice of FCC becomes crucial even when all candidates meet the same function-correction requirements.
Motivated by this, we systematically enumerate and classify all optimal FCCs for two classes of functions, and study their behavior over AWGN channels. This perspective enables the identification of FCC structures that provide favorable trade-offs between function reliability and data error performance, highlighting the importance of code design in function-oriented communication systems.
Bio: Anjana A M is currently an Assistant Professor in the Department of Electrical Engineering at IIT Hyderabad. Prior to joining academia, she served as a Chief Engineer at Samsung R&D Institute India - Bangalore, where she was part of the Advanced Modem team developing PHY-layer algorithms for beyond 5G communication systems. Her industry experience also includes roles at Qualcomm India Private Limited and Lekha Wireless Solutions, Bangalore, where she primarily worked on 4G and 5G modem systems.
Anjana received her Ph.D. from the Department of ECE at the Indian Institute of Science (IISc), Bangalore, where she worked under the guidance of Prof. B. Sundar Rajan. Her research was partly funded by the Qualcomm Innovation Fellowship awarded to her in 2020. She also holds a Master's degree in Telecommunication from the Dept. of ECE, IISc, where she graduated as the gold medalist.
Abstract: (coming soon)
Bio: Vaneet Aggarwal received the BTech degree from the Indian Institute of Technology Kanpur, Kanpur, India, in 2005 and the MA and PhD degrees from Princeton University, Princeton, NJ, USA, in 2007 and 2010, respectively, all in Electrical Engineering. He is currently a Professor and University Faculty Scholar in the School of Industrial Engineering, the School of Electrical and Computer Engineering (by courtesy), and the Department of Computer Science (by courtesy) at Purdue University, where he has been since Jan 2015. He is also affiliated with Purdue Institute of Cancer Research, Purdue Quantum Science and Engineering Institute, Purdue Computational Science and Engineering Interdisciplinary Program (CS&E), Purdue Center for Education and Research in Information Assurance and Security (CERIAS), Quantum Collaborative, Midwest Quantum Collaboratory, Purdue Institute for Control, Optimization and Networks, and Purdue Center for Resilient Infrastructures, Systems, and Processes (CRISP). His research interests are in machine learning, reinforcement learning, and quantum computing.
Prior to joining Purdue, he was a Senior Member of the Technical Staff - Research for five years with AT&T Labs Research, Bedminster, NJ, USA (2010-2014). Dr. Aggarwal has been Adjunct Assistant Professor in the Department of Electrical Engineering at Columbia University (2013-2014), a VAJRA Adjunct Professor in the Department of Electrical Communications Engineering at IISc Bangalore (2018-2019), Visiting Professor at Plaksha University (2022-2023), Adjunct Professor in CS at IIIT Delhi (2022-2023), and Visiting Professor in CS Program at KAUST, Saudi Arabia (2022-2023). Dr. Aggarwal received the Princeton University's Porter Ogden Jacobus Honorific Fellowship in 2009, AT&T Vice President Excellence Award in 2013, AT&T Senior Vice President Excellence Award in 2014, and Purdue University's Most Impactful Faculty Innovator award in 2020. In addition, he received IEEE Jack Neubauer Memorial Award in 2017 (recognizing the best systems paper published in the IEEE Transactions on Vehicular Technology), IEEE Infocom Workshop Best paper award in 2018, Neurips Workshop Best paper award in 2021, and IEEE William R. Bennett Prize in 2024 (recognizing outstanding original papers published in IEEE/ACM Transactions on Networking). He was an Associate Editor for the IEEE Transactions on Green Communications and Networking (2017-2020) and IEEE Transactions on Communications (2017-2022).
He is a senior member of IEEE since 2015. He is currently serving on the Editorial Board of the IEEE/ACM Transactions on Networking (2019-current) and the IEEE Transactions on Network Science and Engineering (2024-current), and is co-Editor-in-Chief of the ACM Journal on Transportation Systems (2022-current). He is 2024-2025 IEEE Comsoc Distinguished Lecturer. He has Erdos Number 3, Hawking Number 3, and Einstein Number 4.
Abstract: (coming soon)
Bio: Karthikeyan Shanmugam is a Research Scientist at Google Deepmind India (Bengaluru). He is part of the Machine Learning Foundations and Optimization Team.
Previously, Karthikeyan was a Research Staff Member with the IBM Research AI, NY during the period 2017-2022 and a Herman Goldstine Postdoctoral Fellow at IBM Research, NY in the period 2016-2017. He obtained his Ph.D. in ECE from UT Austin in 2016. His advisor at UT was Alex Dimakis. He obtained his MS degree in Electrical Engineering (2010-2012) from the University of Southern California, B.Tech and M.Tech degrees in Electrical Engineering from IIT Madras in 2010.
Karthikeyan's research interests broadly lie in Graph algorithms, Machine learning, Optimization, and Information Theory. Specifically in machine learning, his recent focus is on Causal Inference, Foundation Models, Bandits/RL and Explainable AI.
Abstract: Can the $n$-party broadcast channel, where any symbol sent by one party is received by all, be made resilient to noise with low overhead? Namely, is it possible to construct interactive error-correcting codes that convert any protocol designed for the noiseless broadcast channel into one that works over the noisy broadcast channel and is not much longer than the original protocol?
[EKS18, STOC 2018] showed that such interactive codes with constant multiplicative overhead are possible under the assumption that the noiseless protocol being simulated is non-adaptive, meaning that it is restricted to have a pre-determined order of turns. Their noise resilient simulating protocols, however, require adaptivity, where each party can decide whether or not to broadcast given all the information available to them, including their input and received transcript. The question of whether such a simulation is possible for general, potentially adaptive, noiseless protocols was left open.
We resolve this question negatively, proving that any interactive code that converts adaptive noiseless broadcast protocols into adaptive broadcast protocols resilient to stochastic errors must incur a multiplicative overhead of $\Omega(\log n / \log \log n)$, which is nearly tight.
Bio: Raghuvansh Raj Saxena is a Reader at the School of Technology and Computer Science at the Tata Institute of Fundamental Research, Mumbai. His primary research interest is communication complexity and its applications to other areas of theoretical computer science, such as coding theory, algorithmic game theory, streaming algorithms, and distributed systems. Other topics he likes to think about are computational complexity, information theory, and things you can convince him to think about.
Before joining TIFR, Raghuvansh received his Ph.D. from Princeton University under the amazing supervision of Prof. Gillat Kol and his Bachelor's degree in Computer Science and Engineering from IIT Delhi.
Abstract: (coming soon)
Bio: Arjun Bhagoji is an Assistant Professor in the Centre for Machine Intelligence and Data Science (C-MInDS) at IIT Bombay where he works with the IRoHS Lab. Previously, he was a Research Scientist in the Department of Computer Science at the University of Chicago working with Ben Zhao and Nick Feamster. His research focuses on robust and reliable machine learning. He is also interested in the application of machine learning to problems of societal interest. Arjun completed his Ph.D. under the supervision of Prateek Mittal in the Department of Electrical and Computer Engineering at Princeton University. He spent five wonderful years at the Indian Institute of Technology Madras in a Dual Degree (B.Tech.+M.Tech.) program in Electrical Engineering.
Abstract: In this talk, we consider the scenario where multiple, noisy observations of a sequence intended to be transmitted/stored are obtained at the receiver. The noisy observations are obtained via corruptions by independent copies of a common channel; we call the induced channel between the input sequence and the received noisy outputs as a "multi-view" channel. Such a setting arises naturally in several applications in communications, including in packet-switched communication and wireless information transfer, and in storage, particularly in magneto-optical media and in modern, DNA-based data storage.
We shall review some of our work on the asymptotics of information rates over, and channel capacity and dispersion of, multi-view channels. This will then lead to a discussion on recent work on using such asymptotic estimates to derive achievable rates (and a coding scheme) over a noisy DNA nanopore channel model. These works were carried out jointly with Nir Weinberger of the Technion - Israel Institute of Technology.
Bio: Arvind is an Assistant Professor at the Department of Electrical Engineering, Indian Institute of Technology Madras, India. He received the B.E. (Hons.) degree in Electronics and Communication Engineering from BITS Pilani University, India, in 2018, and the Ph.D. degree in Electrical Communication Engineering from the Indian Institute of Science (IISc), Bengaluru, in 2023, specializing in error-control coding. He then spent a couple of years as a Research Fellow at the Centre of Data for Public Good (CDPG), IISc, where he worked on differential privacy.
Arvind was a recipient of the 2023 IEEE Jack Keil Wolf ISIT Student Paper Award. His papers have also won paper awards at the ACM IKDD CODS, NCC, and the IEEE SPCOM. Arvind's Ph.D. thesis was awarded the Seshagiri Kaikini Medal for the best Ph.D. thesis from the ECE Department at IISc, for the year 2023–24.
Abstract: Reinforced random processes model systems in which past behaviour influences future evolution. In this talk, I will discuss two key examples: urn models and reinforced random walks. These models exhibit rich phenomena such as phase transitions and non-Gaussian fluctuation limits. Time permitting, I will also discuss systems with multiple components that evolve through self-reinforcement or interactions between components, and explore questions of synchronization and joint asymptotic behaviour, with applications to opinion dynamics.
Bio: Neeraja Sahasrabudhe is an Assistant Professor in the Department of Mathematical Sciences at IISER Mohali.
Prior to this, Neeraja was a postdoctoral fellow at Indian Institute of Technology, Bombay and a visiting scientist at Indian Statistical Institute, Bangalore. She obtained her Ph.D from University of Padova, Italy. She was jointly advised by Prof. Paolo Dai Pra and Prof. Michele Pavon. She did B.Math from ISI Bangalore in 2006, and masters from University of Leiden and University of Bordeaux as part of the ALGANT program in 2008.
Neeraja works in Probability Theory.