Does the negative gradient direction refer to the opposite direction of the gradient direction? If it is a binary function, after the gradient is calculated, will it directly add a negative sign to the formed vector?

Does the negative gradient direction refer to the opposite direction of the gradient direction? If it is a binary function, after the gradient is calculated, will it directly add a negative sign to the formed vector?

Yes, the gradient is the direction in which the value of the function increases the fastest, and the anti gradient is the direction in which the value of the function decreases the fastest
Taking the opposite direction of the vector directly is obviously taking all negative signs,
(3 / 5,4 / 5) reverse is (- 3 / 5, - 4 / 5)