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Online Opt HW3

1) A reduction from no-swap-regret to no-regret

Consider the Experts problem setting

There are some $N$ experts and the learner choose a mixed strategy over the experts at each turn.

Learner Adversary
1. Pick $p_t\in\Delta_N$
Send $p_t$
2. Choose $l_t\in[0,1]^N$
Send $l_t$
3. Suffer loss $\langle p_t, l_t \rangle$