Root Mean Square 时←明-是a时-o-l n a脱←a}- =2g+()] 0←- n =g92+(2+(g)1 0+1← -71 6
Root Mean Square 𝜎𝑖 0 = 𝒈𝑖 𝟎 2 𝜎𝑖 1 = 1 2 𝒈𝑖 𝟎 2 + 𝒈𝑖 𝟏 2 𝜎𝑖 𝑡 = 1 𝑡 + 1 𝑖=0 𝑡 𝒈𝑖 𝒕 2 𝜎𝑖 2 = 1 3 𝒈𝑖 𝟎 2 + 𝒈𝑖 𝟏 2 + 𝒈𝑖 𝟐 2 𝜽𝑖 𝟏 ← 𝜽𝑖 𝟎 − 𝜂 𝜎𝑖 0 𝒈𝑖 𝟎 𝜽𝑖 𝒕+𝟏 ← 𝜽𝑖 𝒕 − 𝜂 𝜎𝑖 𝑡 𝒈𝑖 𝒕 𝜽𝑖 𝟐 ← 𝜽𝑖 𝟏 − 𝜂 𝜎𝑖 1 𝒈𝑖 𝟏 𝜽𝑖 𝟑 ← 𝜽𝑖 𝟐 − 𝜂 𝜎𝑖 2 𝒈𝑖 𝟐 𝜽𝑖 𝒕+𝟏 ← 𝜽𝑖 𝒕 − 𝜂 𝜎𝑖 𝑡 𝒈𝑖 𝒕 …… 6 = 𝒈𝑖 𝟎
Root mean square 9f1 smaller of larger step gl 01 g51 larger g smaller step i=0 Used in Adagrad 02 7
Root Mean Square 𝜎𝑖 𝑡 = 1 𝑡 + 1 𝑖=0 𝑡 𝒈𝑖 𝒕 2 𝜽𝑖 𝒕+𝟏 ← 𝜽𝑖 𝒕 − 𝜂 𝜎𝑖 𝑡 𝒈𝑖 𝒕 𝜽1 𝜽2 𝒈1 𝒕−𝟏 𝒈1 𝒕 𝒈2 𝒕−𝟏 𝒈2 𝒕 smaller 𝜎1 𝑡 larger𝜎2 𝑡 larger step smaller step Used in Adagrad 7