Research
Some research papers I have written:
Papers
- Affinity-Aware Graph Networks
with A. Sinop, I. Ktena, P. Veličković, S. Gollapudi
arXiv:2206.11941. (arXiv)
- Private Robust Estimation by Stabilizing Convex Relaxations
with P. Kothari and P. Manurangsi
COLT 2022. Also arXiv:2112.03548. (arXiv)
- Linear Space Streaming Lower Bounds for Approximating CSPs
with C. Chou, A. Golovnev, M. Sudan, S. Velusamy
STOC 2022. Also arXiv:2106.13078. (arXiv)
- On the Power of Multiple Anonymous Messages
with B. Ghazi, N. Golowich, R. Kumar, and R. Pagh
EUROCRYPT 2021. Also arXiv:1908.11353. (arXiv)
- Pure Differentially Private Summation from Anonymous Messages
with B. Ghazi, N. Golowich, R. Kumar, P. Manurangsi, and R. Pagh
ITC 2020. Also arXiv:2002.01919. (arXiv)
- Private Aggregation from Fewer Anonymous Messages
with B. Ghazi, P. Manurangsi, and R. Pagh
EUROCRYPT 2020. Also arXiv:1909.11073. (arXiv)
- Scaling up Kernel Ridge Regression via Locality Sensitive Hashing
with M. Kapralov, N. Nouri, I. Razenshteyn, and A. Zandieh
AISTATS 2020. Also 2003.09756. (arXiv)
- Oblivious Sketching of High-Degree Polynomial Kernels
with T. Ahle, M. Kapralov, J. Knudsen, R. Pagh, D. Woodruff, and A. Zandieh
SODA 2020.
- This paper was merged from the following two papers:
- Oblivious Sketching of High-Degree Polynomial Kernels by M. Kapralov, R. Pagh, A. Velingker, D. Woodruff, A. Zandieh (arXiv:1909.01410)
- Almost Optimal Tensor Sketch by T. Ahle and J. Knudsen (arXiv:1909.01821)
- A Universal Sampling Method for Reconstructing Signals with Simple Fourier Transforms
with H. Avron, M. Kapralov, C. Musco, C. Musco, and A. Zandieh
STOC 2019. Also arXiv:1812.08723. (arXiv)
- Dimension-independent Sparse Fourier Transform
with M. Kapralov and A. Zandieh
SODA 2019. Also arXiv:1902.10633. (arXiv)
- Random Fourier Features for Kernel Ridge Regression: Approximation Bounds and Statistical Guarantees
with H. Avron, M. Kapralov, C. Musco, C. Musco, and A. Zandieh
ICML 2017. Also arXiv:1804.09893. (arXiv)
- Streaming Complexity of Approximating Max 2CSP and Max Acyclic Subgraph
with V. Guruswami and S. Velusamy
APPROX 2017.
- Towards Constructing Ramanujan Graphs Using Shift Lifts
with K. Chandrasekaran
Linear Algebra and its Applications, volume 529, 2017. Also arXiv:1502.07410. (arXiv)
- (1 + Ω(1))-Approximation to MAX-CUT Requires Linear Space
with M. Kapralov, S. Khanna, and M. Sudan
SODA 2017.
- Bridging the Capacity Gap Between Interactive and One-Way Communication
with B. Haeupler
SODA 2017. Also ECCC TR16-090 and arXiv:1605.08792. (ECCC | arXiv)
- On the Sensitivity Conjecture for Read-k Formulas
with M. Bafna, S. Lokam, and S. Tavenas
MFCS 2016. Also ECCC TR16-132. (ECCC)
- Communication with Partial Noiseless Feedback
with B. Haeupler and P. Kamath
RANDOM 2015.
- Approximating Data-Sensitive Distances
with M. Cohen, B. Fasy, G. Miller, A. Nayyeri, and D. Sheehy
WADS 2015. Also arXiv:1502.08048. (arXiv)
- An Entropy Sumset Inequality and Polynomially Fast Convergence to Shannon Capacity Over All Alphabets
with V. Guruswami
CCC 2015. Also ECCC TR14-165 and arXiv:1411.6993. (ECCC | arXiv)
- See video presentation from the Simons Institute's workshop on Coding: From Practice to Theory.
- Note: This work shows that polar codes over prime alphabet are the first-known construction of efficiently encodable and decodable codes to exhibit a polynomial speed of convergence for all symmetric channels.
- Limitations on Testable Affine-Invariant Codes in the High-Rate Regime
with V. Guruswami, M. Sudan, and C. Wang
SODA 2015. Also ECCC TR14-067. (ECCC)
- A Fast Algorithm for Well-Spaced Points and Approximate Delaunay Graphs
with G. Miller and D. Sheehy
SoCG 2013. Also arXiv:1304.0524. (arXiv)
- Restricted Isometry of Fourier Matrices and List Decodability of Random Linear Codes
with M. Cheraghchi and V. Guruswami
SODA 2013. Journal version: SIAM Journal of Computing 42(5), pp. 1888-1914, 2013. Also ECCC TR12-082 and arXiv:1207.1140. (ECCC | arXiv)
- Note: This work relates list-decoding of random linear codes to analyzing the Restricted Isometry Property (RIP) of subsampled DFT matrices from compressed sensing.
- We show that the number of row samples needed for NxN matrices and sparsity k is O(k log^2 k log N), which improves on bounds by Candès-Tao and Rudelson-Vershynin!
- Subsequent work: A further improvement of our compressed sensing bound has been obtained by Haviv and Regev.
- Subsequent work: Our list-decoding result has been improved by Mary Wootters using a different approach.
- Meshing log n Dimensions in Polynomial Time
with G. Miller and D. Sheehy
Extended abstract in CG:YRF 2012
- On an Exact Formula for the Coefficients of Han's Generating Function
Accepted to Annals of Combinatorics. (pdf)
- On the Erdős-Straus Conjecture: Properties of Solutions to its Underlying Diophantine Equation
with M. Monks
Manuscript. (pdf)
Other Articles
- My Favorite Problem: An Unconventional Inequality, Harvard College Math Review 2008. (pdf)
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