Publications
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The sample complexity of smooth boosting and the tightness of the hardcore theorem
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Multitask learning via shared features: Algorithms and hardness
with Konstantina Bairaktari, Guy Blanc, Jonathan Ullman, and Lydia Zakynthinou
COLT 2023 -
Lifting uniform learners via distributional decomposition
with Guy Blanc, Jane Lange, and Ali Malik.
STOC 2023 -
Certification with an NP oracle
with Guy Blanc, Caleb Koch, Jane Lange, and Carmen Strassle.
ITCS 2023Video of Carmen's talk. -
Superpolynomial lower bounds for decision tree learning and testing
with Caleb Koch and Carmen Strassle.
SODA 2023See also [Bshouty '23]. -
Single-pass streaming algorithms for correlation clustering
with Soheil Behnezhad, Moses Charikar, and Weiyun Ma.
SODA 2023 -
Almost 3-approximate correlation clustering in constant rounds
with Soheil Behnezhad, Moses Charikar, and Weiyun Ma.
FOCS 2022 -
A generalization of the satisfiability coding lemma and its applications
with Milan Mossé and Harry Sha.
SAT 2022Best Paper Award at SAT 2022
Invited to SAT 2022 special issueThis was Milan and Harry's CURIS project. See also the original paper [Paturi-Pudlák-Zane '97]. -
A query-optimal algorithm for finding counterfactuals
with Guy Blanc, Caleb Koch, and Jane Lange.
ICML 2022 -
Popular decision tree algorithms are provably noise tolerant
with Guy Blanc, Jane Lange, and Ali Malik.
ICML 2022 -
On the power of adaptivity in statistical adversaries
with Guy Blanc, Jane Lange, and Ali Malik.
COLT 2022 -
Open problem: Properly learning decision trees in polynomial time?
with Guy Blanc, Jane Lange, and Mingda Qiao.
COLT 2022
Open problems track -
The composition complexity of majority
with Victor Lecomte and Prasanna Ramakrishnan.
CCC 2022 -
Reconstructing decision trees
with Guy Blanc and Jane Lange.
ICALP 2022 -
The query complexity of certification
with Guy Blanc, Caleb Koch, and Jane Lange.
STOC 2022A new algorithm for finding certificates, analyzed using concepts from threshold phenomena.
See also [Gupta-Manoj '22] and our ITCS '23 paper with Carmen. -
Provably efficient, succinct, and precise explanations
with Guy Blanc and Jane Lange.
NeurIPS 2021Explaining black boxes with local computation algorithms. See also [Ribeiro-Singh-Guestrin]. -
Properly learning decision trees in almost polynomial time
with Guy Blanc, Jane Lange, and Mingda Qiao.
FOCS 2021
Invited to FOCS 2021 special issueJournal of the ACM, 2022Guy's TCS+ talk. My slides giving a combined overview of this paper and [Blanc-Lange-T '20].
See also our writeup on possible avenues towards a polynomial-time algorithm. -
Sharper bounds on the Fourier concentration of DNFs
with Victor Lecomte.
FOCS 2021A sharpening of Mansour's bound. -
Tradeoffs in small-depth Frege proofs
with Toniann Pitassi and Prasanna Ramakrishnan.
FOCS 2021A new analogy between correlation bounds in circuit complexity and tradeoffs in proof complexity.
Builds on [Pitassi-Rossman-Servedio-T '16]. See also [Håstad-Risse '22] for a subsequent improvement. -
Decision tree heuristics can fail, even in the smoothed setting
with Guy Blanc, Jane Lange, and Mingda Qiao.
RANDOM 2021 -
Deterministic approximate counting of PTFs via a derandomized regularity lemma
with Rocco Servedio.
RANDOM 2021Video of Rocco's talk. -
On the power and limitations of branch and cut
with Noah Fleming, Mika Göös, Russell Impagliazzo, Toniann Pitassi, Robert Robere, and Avi Wigderson.
CCC 2021
Invited to CCC 2021 special issue -
Brief announcement: A randomness-efficient massively parallel algorithm for Connectivity
with Moses Charikar and Weiyun Ma.
PODC 2021 -
Learning stochastic decision trees
with Guy Blanc and Jane Lange.
ICALP 2021 -
Query strategies for priced information, revisited
with Guy Blanc and Jane Lange.
SODA 2021See also the original paper [CFGKRS '02]. -
Universal guarantees for decision tree induction via a higher-order splitting criterion
with Guy Blanc, Neha Gupta, and Jane Lange.
NeurIPS 2020 -
Estimating decision tree learnability with polylogarithmic sample complexity
with Guy Blanc, Neha Gupta, and Jane Lange.
NeurIPS 2020See also [Kong-Valiant '18] and [Blum-Hu '18]. -
Provable guarantees for decision tree induction: the agnostic setting
with Guy Blanc and Jane Lange.
ICML 2020 -
Fooling Gaussian PTFs via local hyperconcentration
with Ryan O’Donnell and Rocco Servedio.
STOC 2020 -
Non-malleability against polynomial tampering
with Marshall Ball, Eshan Chattopadhyay, Jyun-Jie Liao, and Tal Malkin.
CRYPTO 2020 -
Unconditional lower bounds for adaptive massively parallel computation
with Moses Charikar and Weiyun Ma.
SPAA 2020 -
The power of many samples in query complexity
with Andrew Bassilakis, Andrew Drucker, Mika Göös, Lunjia Hu, and Weiyun Ma.
ICALP 2020 -
Top-down induction of decision trees: rigorous guarantees and inherent limitations
with Guy Blanc and Jane Lange.
ITCS 2020Video and slides for Guy and Jane's talk. See also our ICML '20 and NeurIPS '20 papers for further analyses
of the heuristics used in practice.
Best Poster Award, CURIS 2019 -
Fooling polytopes
with Ryan O'Donnell and Rocco Servedio.
STOC 2019
Invited to STOC 2019 special issueJournal of the ACM, 2022Videos of Rocco's talk and my talks (IAS, Simons Institute). Ryan's slides and my slides.
Lecture notes for our high-dimensional Littlewood-Offord theorem.
See also our FOCS '17 paper and [Arunachalam-Yao '22]. -
Improved pseudorandom generators from pseudorandom multi-switching lemmas
with Rocco Servedio.
RANDOM 2019Invited to RANDOM 2019 special issue -
Pseudorandomness for read-k DNF formulas
with Rocco Servedio.
SODA 2019 -
Non-malleable codes for small-depth circuits
with Marshall Ball, Dana Dachman-Soled, Siyao Guo, and Tal Malkin.
FOCS 2018 -
Luby–Veličković–Wigderson revisited: Improved correlation bounds and pseudorandom generators for depth-two circuits
with Rocco Servedio.
RANDOM 2018 -
Deterministic search for CNF satisfying assignments in almost polynomial time
with Rocco Servedio.
FOCS 2017 -
Fooling intersections of low-weight halfspaces
with Rocco Servedio.
FOCS 2017See also [O'Donnell-Servedio-T '19], in which we handle the case of general halfspaces. -
Settling the query complexity of non-adaptive junta testing
with Xi Chen, Rocco Servedio, Erik Waingarten, and Jinyu Xie.
CCC 2017
Journal of the ACM, 2018Best Paper Award at CCC 2017
Invited to the Journal of the ACMVideo of Erik's TCS+ talk. See also [Servedio-T-Wright '15] for an earlier lower bound. -
Adaptivity is exponentially powerful for testing monotonicity of halfspaces
with Xi Chen, Rocco Servedio, and Erik Waingarten.
RANDOM 2017 -
What circuit classes can be learned with non-trivial savings?
with Rocco Servedio.
ITCS 2017 -
An average-case depth hierarchy theorem for Boolean circuits
with Johan Håstad, Benjamin Rossman, and Rocco Servedio.
Journal of the ACM, 2017Combined journal version of [Rossman-Servedio-T '15] below and [Håstad '16]. -
Poly-logarithmic Frege depth lower bounds via an expander switching lemma
with Toniann Pitassi, Benjamin Rossman, and Rocco Servedio.
STOC 2016
Invited to STOC 2016 special issueSlides for my talk. Ryan O'Donnell's lecture on our switching lemma and Sasha Razborov’s discussion of it.
See also [Håstad '17, Pitassi-Ramakrishnan-T '21, Håstad-Risse '22] for subsequent improvements. -
Near-optimal small-depth lower bounds for small distance connectivity
with Xi Chen, Igor Oliveira, and Rocco Servedio.
STOC 2016 -
Convergence, unanimity, and disagreement in majority dynamics on unimodular graphs and random graphs
with Itai Benjamini, Siu On Chan, Ryan O'Donnell, and Omer Tamuz.
Stochastic Processes and their Applications, 2016 -
Algorithmic signaling of features in auction design
with Shaddin Dughmi, Nicole Immorlica, and Ryan O'Donnell.
SAGT 2015 -
The Polynomial Hierarchy, Random Oracles, and Boolean Circuits
with Benjamin Rossman and Rocco Servedio.
ACM SIGACT News, December 2015 issue
An overview of [Rossman-Servedio-T '15], with an emphasis on the connections to structural complexity theory. -
An average-case depth hierarchy theorem for Boolean circuits
with Benjamin Rossman and Rocco Servedio.
FOCS 2015
Best Paper Award at FOCS 2015
Invited to the Journal of the ACMSee Computational Complexity, Shtetl-Optimized, Gödel's Lost Letter and P=NP, Combinatorics and more for discussions of our results. See also Boaz Barak's lecture notes, Srikanth Srinivasan's survey, a Simons Institute research vignette, our article in SIGACT News, and my talks at IAS, TCS+, and MSR.
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Learning circuits with few negations
with Eric Blais, Clément Canonne, Igor Oliveira, and Rocco Servedio.
RANDOM 2015 -
Adaptivity helps for testing juntas
with Rocco Servedio and John Wright.
CCC 2015See also [Chen-Servedio-T-Waingarten-Xie '17] for an improved lower bound. -
Boolean monotonicity testing requires (almost) n1/2 non-adaptive queries
with Xi Chen, Anindya De, and Rocco Servedio.
STOC 2015See [Khot-Minzer-Safra '15] for the matching upper bound and [Belovs-Blais '16, Chen-Waingarten-Xie '17] for adaptive lower bounds.
See our FOCS '14 paper for a simpler proof of a weaker lower bound. -
Approximate resilience, monotonicity, and the complexity of agnostic learning
with Dana Dachman-Soled, Vitaly Feldman, Andrew Wan, and Karl Wimmer.
SODA 2015 -
New algorithms and lower bounds for monotonicity testing
with Xi Chen and Rocco Servedio.
FOCS 2014Videos of talks at IAS and FOCS, and scribe notes on the lower bound.
See also [Chen-De-Servedio-T '15] for a subsequent improvement of the lower bound. -
On DNF approximators for monotone Boolean functions
with Eric Blais, Johan Håstad, and Rocco Servedio.
ICALP 2014 -
A composition theorem for parity kill number
with Ryan O'Donnell, Xiaorui Sun, John Wright, and Yu Zhao.
CCC 2014 -
Hypercontractive inequalities via SOS, and the Frankl-Rödl graph
with Manuel Kauers, Ryan O'Donnell, and Yuan Zhou.
SODA 2014
Discrete Analysis, 2016 -
Learning sums of independent integer random variables
with Costis Daskalakis, Ilias Diakonikolas, Ryan O'Donnell, and Rocco Servedio.
FOCS 2013
Invited to Algorithmica Special Issue on Machine Learning. -
On the average sensitivity and density of k-CNF formulas
with Dominik Scheder.
RANDOM 2013 -
A composition theorem for the Fourier Entropy-Influence conjecture
with Ryan O'Donnell.
ICALP 2013
See also [Wan-Wright-Wu '14] for a new proof of our composition theorem. -
Approximating Boolean functions with depth-2 circuits
with Eric Blais.
CCC 2013
SIAM Journal on Computing, 2015See also Gödel's Lost Letter and P=NP for a discussion of this paper, and [Blais-Håstad-Servedio-T '14] for related results.
A video of my talk at the Simons Institute. -
Hypercontractivity via the entropy method
with Eric Blais.
Theory of Computing, 2013
Special issue on Analysis of Boolean Functions. -
New NP-hardness results for 3-Coloring and 2-to-1 Label Cover
with Per Austrin, Ryan O'Donnell, and John Wright.
ACM Transactions on Computation Theory, 2014 -
Attribute-efficient learning and weight-degree tradeoffs for
PTFs
with Rocco Servedio and Justin Thaler.
COLT 2012 -
Noise stable halfspaces are close to very small juntas
with Ilias Diakonikolas, Ragesh Jaiswal, Rocco Servedio, and Andrew Wan.
Chicago Journal of Theoretical Computer Science, 2015 - Bounding the average
sensitivity and noise sensitivity of PTFs
with Ilias Diakonikolas, Prasad Raghavendra, and Rocco Servedio.
STOC 2010
SIAM Journal on Computing, 2014Conference version merged with [Harsha-Klivans-Meka]. -
A regularity lemma and low-weight approximators for low-degree PTFs
with Ilias Diakonikolas, Rocco Servedio, and Andrew Wan.
CCC 2010
Theory of Computing, 2014
with Guy Blanc, Alexandre Hayderi, and Caleb Koch.
FOCS 2024
Invited to FOCS 2024 special issue
Fast decision tree learning solves hard coding-theoretic problems
with Caleb Koch and Carmen Strassle.
FOCS 2024
Superconstant inapproximability of decision tree learning
with Caleb Koch and Carmen Strassle.
COLT 2024
A strong direct sum theorem for distributional query complexity
with Guy Blanc, Caleb Koch, and Carmen Strassle.
CCC 2024
Invited to CCC 2024 special issue
Harnessing the power of choices in decision tree learning
with Guy Blanc, Jane Lange, Chirag Pabbaraju, Colin Sullivan, and Mo Tiwari.
NeurIPS 2023
NeurIPS 2023
Properly learning decision trees with queries is NP-hard
with Caleb Koch and Carmen Strassle.
FOCS 2023
FOCS 2023
A strong composition theorem for junta complexity and the boosting of property testers
with Guy Blanc, Caleb Koch, and Carmen Strassle.
FOCS 2023
FOCS 2023
Video of Caleb's talk.