Let’s condense the content of the objective to the following two principles:
- Do good work on cool important problems
- Interact meaningfully with other sentient lifeforms
- Be healthy (ok this is technically auxiliary, but is worth listing anyways)
Ok, so we know
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0711: read a lot of permutation avoidance literature; made a fun “relative error supported on subcube” tester.
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0712: read a bunch more about permutations. tried to do better permutations.
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0713: a good game of bottichelli with fun “abstract” clues
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0714: Made banana bread. Had some vaguely promising ideas for analyzing cancelling scheduler.
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0715: Maybe got an analysis of 1.5-cancel? at least drew some good pictures and had some interesting ideas. Great property testing meeting. Tons of promising directions for future work.
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0716: I worked really hard on diamond test large epsilon case. it didn’t work out, but was still good effort.
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0717: typed up a bunch of stuff for property testing project. was really good to solidify what we know. also permutation party!
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0718: null (forgot to record)
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0719: nice proof of affinity square in cube.
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0720: typed up some cycles.
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0721: went to the beach. it was pretty good.
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0722: had some fake scheduling idea, but was still fun to think about it and had good conversation about it.
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0723: thought about direct product test. understood what is going on a bit better.
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0724:
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0725: idea to use induction for diamond test
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0726:
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0727: realized that the induction diamond thing was wrong
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0728: “ok lol new idea: analyze a 4-function version of the diamond test”
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0729: grinded 4-function hypercontractivity. ~12 hours later it works
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0730: grinded diamond writeup
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0731: read some DGA
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0805: made some good hash browns
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0806: made some good pizza.
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0807: I think we found a
-competitive vanilla scheduler! (edit: it’s not quite this good, but it’s pretty close) -
0808: came up with some good notation for the scheduling paper :)
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0809 zumba; good progress on scheduling paper.
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0810 zumba; good progress on scheduling paper
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0811 walked around castle island