File Edit Format We define multi head self attention like below: Y (X) = Concat [H1, HH]W(O) Hh oh Sof tmax [QhKT√hDkh] Vh XW(q) h Kh = XW(k)h XWCKDh Vh XWCVDh It includes some redundancy in consecutive multiplications of matrix w(v) corresponding to every head and also output matrix W(o). Removing this redundancy enables us to multi head self attention as sum of the effect of every head. Now prove we can write multihead self attention formula as below: Y (X) = ΣHh=1 Softmax [QhKTVhDkh] xw(h) (Hint: w(h) equals to wh (v)wh (o) if we devide matrix W(o) in horizontal direction as the number of heads then wh(o) is for the hth head) write

File Edit Format We define multi head self attention like below: Y (X) = Concat [H1, HH]W(O) Hh oh Sof tmax [QhKT√hDkh] Vh XW(q) h Kh = XW(k)h XWCKDh Vh XWCVDh It includes some redundancy in consecutive multiplications of matrix w(v) corresponding to every head and also output matrix W(o). Removing this redundancy enables us to multi head self attention as sum of the effect of every head. Now prove we can write multihead self attention formula as below: Y (X) = ΣHh=1 Softmax [QhKTVhDkh] xw(h) (Hint: w(h) equals to wh (v)wh (o) if we devide matrix W(o) in horizontal direction as the number of heads then wh(o) is for the hth head) write

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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