Theoretical Computer Science

MSC 68

Computational complexity, algorithms, cryptography, quantum computing, formal languages.

18 problems

UnsolvedMajor

Minimax-Optimal Sparse PCA: Computational–Statistical Gap

Mathematical StatisticsTheoretical Computer Science

Posed by Berthet & Rigollet (formalized) (2013)

UnsolvedNotable

AdaBoost Always Cycles? (Global Dynamics Conjecture)

Learning TheoryDynamical Systems & Ergodic TheoryTheoretical Computer Science

Posed by Rudin, Daubechies, and Schapire (2004)

UnsolvedNotable

Smoothed Complexity of the Simplex Method

Optimization & Variational MethodsTheoretical Computer Science

Posed by Spielman & Teng (implicit) (2004)

UnsolvedMajor

Capacity of the Binary Deletion Channel

Information TheoryTheoretical Computer Science
UnsolvedMajor

Computational Threshold for Tensor PCA

Mathematical StatisticsLearning TheoryTheoretical Computer Science

Posed by Richard & Montanari (2014)

Unsolved

Fixed-Parameter Tractability of Zonotope Problems

Learning TheoryTheoretical Computer Science

Posed by Vincent Froese et al. (2025)

Unsolved

Optimal Instance-Dependent Sample Complexity for finding Nash Equilibrium in Two Player Zero-Sum Matrix games

Learning TheoryMathematical StatisticsTheoretical Computer Science

Posed by Arnab Maiti (2025)

Unsolved

What is the Complexity of Joint Differential Privacy in Linear Contextual Bandits?

Learning TheoryOptimization & Variational MethodsTheoretical Computer Science

Posed by Achraf Azize et al. (2024)

Unsolved

Optimal Rates for Stochastic Decision-Theoretic Online Learning Under Differentially Privacy

Learning TheoryOptimization & Variational MethodsTheoretical Computer Science

Posed by Bingshan Hu et al. (2024)

Unsolved

The Sample Complexity of Multi-Distribution Learning for VC Classes

Learning TheoryMathematical StatisticsTheoretical Computer Science

Posed by Pranjal Awasthi et al. (2023)

Unsolved

Properly learning decision trees in polynomial time?

Learning TheoryTheoretical Computer Science

Posed by Guy Blanc et al. (2022)

Unsolved

Running time complexity of accelerated $\ell_1$-regularized PageRank

Learning TheoryTheoretical Computer Science

Posed by Kimon Fountoulakis et al. (2022)

Unsolved

Do you pay for Privacy in Online learning?

Learning TheoryOptimization & Variational MethodsTheoretical Computer Science

Posed by Amartya Sanyal et al. (2022)

Unsolved

Better Differentially Private Learning Algorithms with Margin Guarantees

Learning TheoryTheoretical Computer Science

Posed by Raef Bassily et al. (2022)

Unsolved

Information Complexity of VC Learning

Learning TheoryMathematical StatisticsTheoretical Computer Science

Posed by Thomas Steinke et al. (2020)

Unsolved

Is Margin Sufficient for Non-Interactive Private Distributed Learning?

Learning TheoryTheoretical Computer Science

Posed by Amit Daniely et al. (2019)

Unsolved

The Oracle Complexity of Convex Optimization with Limited Memory

Learning TheoryOptimization & Variational MethodsTheoretical Computer Science

Posed by Blake Woodworth et al. (2019)

Unsolved

The Dependence of Sample Complexity Lower Bounds on Planning Horizon

Learning TheoryMathematical StatisticsTheoretical Computer Science

Posed by Nan Jiang et al. (2018)