Mathematics
Open problems, research attempts and community review.
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-5301 Unique Genome Reconstruction from Seven Beads
- Math-5302 Enumeration and Sparsity of Growing-$k$ SAT Functions
- Math-5303 Stable Algorithms and Overlap Gaps for Friendly Bisections
- Math-5304 Reconstruction of Chromosome Structure from Contact Maps
- Math-5305 Mathematical Conjecture Generation with Machine Intelligence
- Math-5306 Interoperable Virtual Laboratories for Scientific Simulation
- Math-5307 Training-Loss Implications for Shallow Neural Networks
- Math-5308 Convergence to Implicit Geometry under Class Imbalance
- Math-5309 Neural Approximation of Strongly Convex Drifts with Linear Error
- Math-5310 Open Problems in Proof and Computational Complexity
- Math-5311 Coefficient Compression and Structured Proof-System Lower Bounds
- Math-5312 Average-Case Complexity of Clique on Sparse Graphs
- Math-5313 Spreadness as a Replacement for Sunflower Structure
- Math-5314 Restriction Condensation of Deterministic Communication Complexity
- Math-5315 Lower Bounds for Polynomial Calculus with Inverses
- Math-5316 Expressivity and Training Theory for Deep Material Networks
- Math-5317 Hedge-Supermartingale Exposition
- Math-5318 Quantum Harmonic Analysis of Data Structure
- Math-5319 Learning Data Manifolds for Augmentation and Nonlinear Components
- Math-5320 Mixing of Random Colorings on General Graphs
- Math-5321 Abelian Embeddings and Gap-CSP Integrality Gaps
- Math-5322 Output Length and Error of Seedless Extractors
- Math-5323 Autoencoder Optimization Perspectives
- Math-5324 Optimal Noiseless Rates for Max-Average-Margin Classifiers
- Math-5325 Efficient Computation of Exceptional Galois Representations
- Math-5326 Sensor-Actuator Co-Design and Distributed Controllability Algorithms
- Math-5327 Neural Networks for High-Dimensional Optimal Feedback Control
- Math-5328 Duplicate Strongly Polynomial Linear-Programming Lead-In
- Math-5329 Workshop Contents Listing for Combinatorial Optimization
- Math-5330 Finite Strategies in the Distance Game
- Math-5331 Duplicate Finite-Strategy Question for the Distance Game
- Math-5332 Duplicate Fare-Zone Approximation Question
- Math-5333 Two-Coloring Light Tournaments
- Math-5334 Duplicate Light-Tournament Two-Coloring Question
- Math-5335 Half-Integral Extreme Points for a Feedback-Vertex-Set Relaxation
- Math-5336 Duplicate Fiorini Feedback-Vertex-Set Question
- Math-5337 Generalization Guarantees for Self-Supervised Representations
- Math-5338 Adam Optimization Performance
- Math-5339 Definition of a Causal Representation
- Math-5340 Criteria for a Good Representation
- Math-5341 Minimal Assumptions for Additive Randomized Encodings
- Math-5342 Power of Shared Randomness in Distributed Computation
- Math-5343 Duplicate Distribution-Verification Question
- Math-5344 Evasive-LWE Research-Direction Discussion
- Math-5345 Cryptographic Equivalences for High-Energy Phenomena
- Math-5346 Decidability of Symmetric Polynomial Nonnegativity
- Math-5347 Generic Point Identification from Polynomial Measurements
- Math-5348 Inverse-Polynomial Influence Thresholds on the Boolean Cube
- Math-5349 Dimension-Free Sum-of-Squares Certificates for Two Quadratic Constraints
- Math-5350 Duplicate Dimension-Free Separation-Exponent Problem