OpenAI reports the sharp symmetric Bernoulli singularity rate
- Mathematics
For a symmetric n×n matrix whose entries on and above the diagonal are independent uniform signs, the probability of singularity is (1/2+o(1))^n.
OpenAI reports the sharp symmetric Bernoulli singularity rate
- Mathematics
For a symmetric n×n matrix whose entries on and above the diagonal are independent uniform signs, the probability of singularity is (1/2+o(1))^n.
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Read the background
For a symmetric n×n matrix whose entries on and above the diagonal are independent uniform signs, the probability of singularity is (1/2+o(1))^n.
Why it matters
If correct, determines the sharp exponential singularity rate in the symmetric sign-matrix model.
What counts as progress
What is the sharp exponential singularity probability of a symmetric random sign matrix?
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OpenAI reports the sharp symmetric Bernoulli singularity rate