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my name is Andrea skip I used to be a PhD student with Alphonse Kemper until Muslimin and t1 and I recently joined Tim Kraske at MIT as a postdoc and yeah today Iamp;#39;ll talk about red explain the single pass learned index so letamp;#39;s talk about the problem first so the problem that weamp;#39;re targeting in this work is efficiently Iamp;#39;m searching sorted arrays so the sorted arrays in this case are immutable so for example you have two following key value pairs like one seven twelve forty two if the with the values a ECD and now you want to do a so-called lower bound look at meaning you want to find the smallest key thatamp;#39;s greater than or equal to the lookup key so in this case searching for five would return seven because thatamp;#39;s the next not checking there so yeah how can you solve this problem well for small arrays you probably want to use some variant of linear search for example vectorized um variant especially if you know your data fits into into c