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REPORTS > KEYWORD > MIXING:
Reports tagged with mixing:
TR17-017 | 5th February 2017
Michal Moshkovitz, Dana Moshkovitz

#### Mixing Implies Lower Bounds for Space Bounded Learning

One can learn any hypothesis class $H$ with $O(\log|H|)$ labeled examples. Alas, learning with so few examples requires saving the examples in memory, and this requires $|X|^{O(\log|H|)}$ memory states, where $X$ is the set of all labeled examples. A question that arises is how many labeled examples are needed in ... more >>>

TR21-142 | 1st October 2021
Amey Bhangale, Prahladh Harsha, Sourya Roy

#### Mixing of 3-term progressions in Quasirandom Groups

In this note, we show the mixing of three-term progressions $(x, xg, xg^2)$ in every finite quasirandom group, fully answering a question of Gowers. More precisely, we show that for any $D$-quasirandom group $G$ and any three sets $A_1, A_2, A_3 \subset G$, we have
\[ \left|\Pr_{x,y\sim G}\left[ x \in ... more >>>

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