Masked multi-head self-attention

Reference code openai/gpt-2 @ 9b63575, huggingface/transformers @ 71c6f69, configuration openai-community/gpt2 @ 607a30d · checkpoint tensors not independently counted · How to read

Transformer block › Attention

Normalized attention input

×

tensornorm(x, 'ln_1')

The output of LayerNorm 1 in the containing transformer block.

shape
xx [B batch, 1, 768 d]
Sources

Contextual evidence from Pre-attention LayerNorm

Original LayerNorm implementation and ε = 10⁻⁵.

openai · openai/gpt-2 / src/model.py
Pinned revision 9b63575ef427 ↗ · lines 28–38

Read code excerpt
def norm(x, scope, *, axis=-1, epsilon=1e-5):
    """Normalize to mean = 0, std = 1, then do a diagonal affine transform."""
    with tf.variable_scope(scope):
        n_state = x.shape[-1].value
        g = tf.get_variable('g', [n_state], initializer=tf.constant_initializer(1))
        b = tf.get_variable('b', [n_state], initializer=tf.constant_initializer(0))
        u = tf.reduce_mean(x, axis=axis, keepdims=True)
        s = tf.reduce_mean(tf.square(x-u), axis=axis, keepdims=True)
        x = (x - u) * tf.rsqrt(s + epsilon)
        x = x*g + b
        return x

Contextual evidence from Pre-attention LayerNorm

PyTorch delegates the operation to nn.LayerNorm with the checkpoint epsilon.

transformers · huggingface/transformers / src/transformers/models/gpt2/modeling_gpt2.py
Pinned revision 71c6f699ac9b ↗ · lines 252–273

Read code excerpt
        self.ln_1 = nn.LayerNorm(hidden_size, eps=config.layer_norm_epsilon)

… lines 253–271 omitted …

        residual = hidden_states
        hidden_states = self.ln_1(hidden_states)

Contextual evidence from Fused Q, K, V projection

The released projection helper owns a learned matrix and output bias and applies them to the last feature axis.

linear-operation · openai/gpt-2 / src/model.py
Pinned revision 9b63575ef427 ↗ · lines 50–56

Read code excerpt
def conv1d(x, scope, nf, *, w_init_stdev=0.02):
    with tf.variable_scope(scope):
        *start, nx = shape_list(x)
        w = tf.get_variable('w', [1, nx, nf], initializer=tf.random_normal_initializer(stddev=w_init_stdev))
        b = tf.get_variable('b', [nf], initializer=tf.constant_initializer(0))
        c = tf.reshape(tf.matmul(tf.reshape(x, [-1, nx]), tf.reshape(w, [-1, nf]))+b, start+[nf])
        return c

Contextual evidence from Fused Q, K, V projection

The released attention module creates one 3× projection and splits it into Q, K, and V head fields.

openai · openai/gpt-2 / src/model.py
Pinned revision 9b63575ef427 ↗ · lines 101–104

Read code excerpt
        c = conv1d(x, 'c_attn', n_state*3)
        q, k, v = map(split_heads, tf.split(c, 3, axis=2))

Contextual evidence from Fused Q, K, V projection

The maintained implementation applies c_attn once, splits the three fields, and reshapes each to heads.

transformers · huggingface/transformers / src/transformers/models/gpt2/modeling_gpt2.py
Pinned revision 71c6f699ac9b ↗ · lines 185–191

Read code excerpt
            query_states, key_states, value_states = self.c_attn(hidden_states).split(self.split_size, dim=2)
            shape_kv = (*key_states.shape[:-1], -1, self.head_dim)
            key_states = key_states.view(shape_kv).transpose(1, 2)
            value_states = value_states.view(shape_kv).transpose(1, 2)

        shape_q = (*query_states.shape[:-1], -1, self.head_dim)
        query_states = query_states.view(shape_q).transpose(1, 2)