// AdamW-owned replay-safe fused step for four parameter tensors.
import storage;
import attributes;
struct PushConstants {
uint parameter0_index; uint gradient0_index; uint first_moment0_index; uint second_moment0_index;
uint parameter1_index; uint gradient1_index; uint first_moment1_index; uint second_moment1_index;
uint parameter2_index; uint gradient2_index; uint first_moment2_index; uint second_moment2_index;
uint parameter3_index; uint gradient3_index; uint first_moment3_index; uint second_moment3_index;
uint state_index;
uint count0;
uint count1;
uint count2;
uint count3;
};
[[vk::push_constant]] PushConstants push;
[[vk::binding(0, 0)]] RWByteAddressBuffer storage_buffers[];
void update_one(
uint index,
uint element_count,
uint parameter_index,
uint gradient_index,
uint first_moment_index,
uint second_moment_index,
uint step,
float learning_rate,
float beta1,
float beta2,
float epsilon,
float weight_decay
) {
if (index >= element_count) {
return;
}
float parameter = load_f32(storage_buffers[parameter_index], index);
float gradient = load_f32(storage_buffers[gradient_index], index);
float first_moment = load_f32(storage_buffers[first_moment_index], index);
float second_moment = load_f32(storage_buffers[second_moment_index], index);
parameter -= learning_rate * weight_decay * parameter;
float next_first_moment = beta1 * first_moment + (1.0f - beta1) * gradient;
float next_second_moment = beta2 * second_moment + (1.0f - beta2) * gradient * gradient;
float first_hat = next_first_moment / (1.0f - pow(beta1, float(step)));
float second_hat = next_second_moment / (1.0f - pow(beta2, float(step)));
parameter -= learning_rate * first_hat / (sqrt(second_hat) + epsilon);
store_f32(storage_buffers[parameter_index], index, parameter);
store_f32(storage_buffers[first_moment_index], index, next_first_moment);
store_f32(storage_buffers[second_moment_index], index, next_second_moment);
}
[kernel_name("adamw_many4_graph")]
[domain("ml")]
[variant("generic")]
[dtype("f32")]
[status("experimental")]
[shader("compute")]
[numthreads(256, 1, 1)]
void main(uint3 dispatch_thread_id : SV_DispatchThreadID) {
uint index = dispatch_thread_id.x;
uint step = storage_buffers[push.state_index].Load(0u);
float learning_rate = asfloat(storage_buffers[push.state_index].Load(4u));
float beta1 = asfloat(storage_buffers[push.state_index].Load(8u));
float beta2 = asfloat(storage_buffers[push.state_index].Load(12u));
float epsilon = asfloat(storage_buffers[push.state_index].Load(16u));
float weight_decay = asfloat(storage_buffers[push.state_index].Load(20u));
update_one(index, push.count0, push.parameter0_index, push.gradient0_index, push.first_moment0_index, push.second_moment0_index, step, learning_rate, beta1, beta2, epsilon, weight_decay);
update_one(index, push.count1, push.parameter1_index, push.gradient1_index, push.first_moment1_index, push.second_moment1_index, step, learning_rate, beta1, beta2, epsilon, weight_decay);
update_one(index, push.count2, push.parameter2_index, push.gradient2_index, push.first_moment2_index, push.second_moment2_index, step, learning_rate, beta1, beta2, epsilon, weight_decay);
update_one(index, push.count3, push.parameter3_index, push.gradient3_index, push.first_moment3_index, push.second_moment3_index, step, learning_rate, beta1, beta2, epsilon, weight_decay);
}