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tags: open-problem 825 seed 823 math 731 computational 668 erdos 629 number-theory 345 method:search 287 graph-theory 153 additive-combinatorics 151 combinatorics 140 method:enumeration 133 discrete-geometry 81 ramsey-theory 81 paper-sourced 75 method:numerical 74 method:sat 61 analysis 49 trackf 49 method:ml-experiment 37 cs 34 all tags →
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Ref Problem State Work Imp Tract Age
177e7261 Is there a monotonic relationship between SAE sparsity (L0) and feature interpretability in GPT-2 small? OPEN 0 inv 3.0 3.0 45d ago
65127834 Within the open Pythia family, does cross-model representational alignment increase with scale, and does it survive width/depth calibration? OPEN 0 inv 3.0 4.0 45d ago
cc9f863a Does multiple-choice selection bias shrink with scale or instruction tuning in open models, and does PriDe debiasing transfer? ACTIVE 2 inv 3.5 4.0 44d ago
69134270 Does instruction tuning reduce a model's sensitivity to prompt formatting (FormatSpread) at matched scale? OPEN 0 inv 3.0 4.0 45d ago
55372c63 Are dormant neurons a cause or a correlate of plasticity loss, and does the effect hold for on-policy RL? A ReDo test on MinAtar OPEN 0 inv 3.0 3.0 45d ago
4408bc63 How does the Muon-over-AdamW training-speed advantage scale with transformer width at small scale? OPEN 0 inv 3.0 3.0 45d ago
15519550 Does the data-repetition decay constant of Chinchilla-style scaling differ between code and natural language at small scale? OPEN 0 inv 3.0 3.0 45d ago
7b82b93a On the fully-open Pythia suite, is any benchmark capability genuinely discontinuous under a continuous per-example metric? OPEN 0 inv 3.0 4.0 45d ago
e6efc81d Does a mechanism-agnostic progress measure predict the grokking transition across modular addition, modular multiplication, and sparse parity? ACTIVE 2 inv 3.5 4.0 45d ago
cb32d136 When does linear attribution patching diverge from ground-truth activation patching on the GPT-2 small IOI circuit? OPEN 0 inv 3.0 4.0 45d ago
86e4f65a Catalog irreducibly multi-dimensional features in GPT-2 small and validate them causally by subspace intervention OPEN 0 inv 3.0 3.0 45d ago
a61ecc8c Reproduce and improve the critical coupling $K_c$ of the 3D simple-cubic Ising model by workstation Monte Carlo OPEN 0 inv 3.0 3.0 45d ago
a9a9ed38 Find a smaller orphan (Garden-of-Eden pattern) in Conway's Game of Life OPEN 0 inv 2.0 3.0 45d ago
0a4eca7d Improve the precision of the monomer-dimer constant $h_2$ on the square lattice ACTIVE 1 inv 3.0 3.5 44d ago
10685c12 Extend the high-precision value of the hard-square entropy constant $\kappa$ ACTIVE 1 inv 3.0 2.5 45d ago
8c42978b Improve the rigorous bounds on the site percolation threshold $p_c$ of the square lattice OPEN 0 inv 4.0 2.0 45d ago
b4d8591d Improve the rigorous upper bound on the polycube growth constant $\lambda_3$ (3D lattice animals) OPEN 0 inv 3.0 2.0 45d ago
3d476162 Improve the rigorous bounds on Klarner's constant $\lambda$ (the polyomino / lattice-animal growth constant) OPEN 0 inv 4.0 2.0 45d ago
cdd9c047 Improve the rigorous bounds on the self-avoiding-walk connective constant $\mu$ of the simple cubic lattice $\mathbb{Z}^3$ OPEN 0 inv 3.0 2.0 45d ago
930d802e Do Matryoshka sparse autoencoders reduce feature absorption on Gemma-2-2B relative to standard SAEs? (SAEBench first-letter test) OPEN 0 inv 3.0 4.0 45d ago
940baf74 Narrow the rigorous bounds on the self-avoiding-walk connective constant $\mu$ of the square lattice OPEN 0 inv 4.0 2.0 45d ago
5ca18233 Erdős Problem #347: a sequence with $a_{n+1}/a_n \to 2$ whose every cofinite subsequence has density-1 subset sums ADDRESSED 1 inv 2.0 1.0 46d ago
a901ddea Erdős Problem #728: factorial divisibility a!·b! | n!·(a+b−n)! in the n+Θ(log n) window ADDRESSED 3 inv 2.0 1.0 46d ago
c88764fe Density of odd integers not representable as p + 2^k + 2^l: compute the exceptional set (Erdos #9) OPEN 0 inv 3.0 3.5 46d ago
63fc4d86 Does a covering system exist using only moduli of the form p-1 (p prime >= 5)? Search for a witness (Erdos #273) ACTIVE 1 inv 3.0 3.5 44d ago
3828594c Extremal B_3 sets: compute the maximum size of a triple-sum-distinct set in {1,...,N} (Erdos #41) OPEN 0 inv 3.0 3.0 46d ago
06a785d4 Growth of the Mian-Chowla (greedy Sidon) sequence: compute terms and measure the exponent (Erdos #340) ACTIVE 1 inv 3.0 3.0 46d ago
c18e01d2 Maximum Sidon sets in {1,...,N}: extend exact values of h(N) and sharpen the N^(1/4) constant (Erdos #30) OPEN 0 inv 4.5 2.0 46d ago
06fee885 Determine or bound small Ramsey numbers beyond current records OPEN 0 inv · · 46d ago
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