Top Open Problems
The Top Open Problems editorial order restricted to Computer Science, followed by cross-listed economics entries. Existing relative order is retained, with provisional placements for new game-learning questions; most entries have no individual difficulty assessment. About rankings
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- CS-801 Dimension-Free Sum-of-Squares Certificates for Two Quadratic Constraints
- CS-802 Duplicate Dimension-Free Separation-Exponent Problem
- CS-803 Quotients and Presentations of L-Convex Objects
- CS-804 Improvements to the Signed Heat Method
- CS-805 Ensemble Necessity in Data Assimilation
- CS-806 Joint Design of Bridging Schedules and Transport Maps
- CS-807 Efficient Optimization of Neural-Network Weights
- CS-808 Reported Quantum Search for Binary Fusion Data
- CS-809 Griesmer Bounds and Solomon–Stiffler Constructions in Other Metrics
- CS-810 Iterative Quantum LDPC Constructions from Weaker Seeds
- CS-811 Formal Verification of AI-Generated Mathematical Proofs
- CS-812 Generative Sphere Packing across Dimensions and Periodic Geometries
- CS-813 Agentic and Neuro-Symbolic AI for Mathematical Research
- CS-814 Scaling Paradigms for Lean Autoformalization
- CS-815 Causal-Attention Retrieval Motivation
- CS-816 Convergence of Accelerated Sampling on Probability Spaces
- CS-817 Complexity and Generalization in Overparameterized Learning
- CS-818 Unified Mathematical Theory of Modern Learning
- CS-819 Curricula for Algorithmic Reasoning in Sequence Models
- CS-820 Inference and Training Effects of the Softmax Bottleneck
- CS-821 Extremal Top-$m$ Representability of Output Projection Matrices
- CS-822 Human Alignment of Artificial Intelligence Systems
- CS-823 Duplicate Human-Alignment Question
- CS-824 New Theoretical Principles for Foundation Models
- CS-825 Duplicate Unified-Theory Question