YOLO activation_layer 代码学习

激活层定义

typedef enum{
    LOGISTIC, RELU, RELIE, LINEAR, RAMP, TANH, PLSE, LEAKY, ELU, LOGGY
}ACTIVATION;
大家一开始看这些激活函数看起来很奇怪，下面我们会给出这几个类型的表达式

CPU 端的代码

激活函数对应的代码：
static inline float linear_activate(float x){return x;}
static inline float logistic_activate(float x){return 1./(1. + exp(-x));}
static inline float loggy_activate(float x){return 2./(1. + exp(-x)) - 1;}
static inline float relu_activate(float x){return x*(x>0);}
static inline float elu_activate(float x){return (x >= 0)*x + (x < 0)*(exp(x)-1);}
static inline float relie_activate(float x){return x*(x>0);}
static inline float ramp_activate(float x){return x*(x>0)+.1*x;}
static inline float leaky_activate(float x){return (x>0) ? x : .1*x;}
static inline float tanh_activate(float x){return (exp(2*x)-1)/(exp(2*x)+1);}
static inline float plse_activate(float x)
{
    if(x < -4) return .01 * (x + 4);
    if(x > 4)  return .01 * (x - 4) + 1;
    return .125*x + .5;
}
激活函数的导数：
static inline float linear_gradient(float x){return 1;}
static inline float logistic_gradient(float x){return (1-x)*x;}
static inline float loggy_gradient(float x)
{
    float y = (x+1.)/2.;
    return 2*(1-y)*y;
}
static inline float relu_gradient(float x){return (x>0);}
static inline float elu_gradient(float x){return (x >= 0) + (x < 0)*(x + 1);}
static inline float relie_gradient(float x){return (x>0) ? 1 : .01;}
static inline float ramp_gradient(float x){return (x>0)+.1;}
static inline float leaky_gradient(float x){return (x>0) ? 1 : .1;}
static inline float tanh_gradient(float x){return 1-x*x;}
static inline float plse_gradient(float x){return (x < 0 || x > 1) ? .01 : .125;}

GPU端的代码

激活函数对应的代码：
__device__ float linear_activate_kernel(float x){return x;}
__device__ float logistic_activate_kernel(float x){return 1./(1. + exp(-x));}
__device__ float loggy_activate_kernel(float x){return 2./(1. + exp(-x)) - 1;}
__device__ float relu_activate_kernel(float x){return x*(x>0);}
__device__ float elu_activate_kernel(float x){return (x >= 0)*x + (x < 0)*(exp(x)-1);}
__device__ float relie_activate_kernel(float x){return x*(x>0);}
__device__ float ramp_activate_kernel(float x){return x*(x>0)+.1*x;}
__device__ float leaky_activate_kernel(float x){return (x>0) ? x : .1*x;}
__device__ float tanh_activate_kernel(float x){return (exp(2*x)-1)/(exp(2*x)+1);}
__device__ float plse_activate_kernel(float x)
{
    if(x < -4) return .01 * (x + 4);
    if(x > 4)  return .01 * (x - 4) + 1;
    return .125*x + .5;
}
激活函数的导数：
__device__ float linear_gradient_kernel(float x){return 1;}
__device__ float logistic_gradient_kernel(float x){return (1-x)*x;}
__device__ float loggy_gradient_kernel(float x)
{
    float y = (x+1.)/2.;
    return 2*(1-y)*y;
}
__device__ float relu_gradient_kernel(float x){return (x>0);}
__device__ float elu_gradient_kernel(float x){return (x >= 0) + (x < 0)*(x + 1);}
__device__ float relie_gradient_kernel(float x){return (x>0) ? 1 : .01;}
__device__ float ramp_gradient_kernel(float x){return (x>0)+.1;}
__device__ float leaky_gradient_kernel(float x){return (x>0) ? 1 : .1;}
__device__ float tanh_gradient_kernel(float x){return 1-x*x;}
__device__ float plse_gradient_kernel(float x){return (x < 0 || x > 1) ? .01 : .125;}

__device__ float activate_kernel(float x, ACTIVATION a)
{
    switch(a){
        case LINEAR:
            return linear_activate_kernel(x);
        case LOGISTIC:
            return logistic_activate_kernel(x);
        case LOGGY:
            return loggy_activate_kernel(x);
        case RELU:
            return relu_activate_kernel(x);
        case ELU:
            return elu_activate_kernel(x);
        case RELIE:
            return relie_activate_kernel(x);
        case RAMP:
            return ramp_activate_kernel(x);
        case LEAKY:
            return leaky_activate_kernel(x);
        case TANH:
            return tanh_activate_kernel(x);
        case PLSE:
            return plse_activate_kernel(x);
    }
    return 0;
}

__device__ float gradient_kernel(float x, ACTIVATION a)
{
    switch(a){
        case LINEAR:
            return linear_gradient_kernel(x);
        case LOGISTIC:
            return logistic_gradient_kernel(x);
        case LOGGY:
            return loggy_gradient_kernel(x);
        case RELU:
            return relu_gradient_kernel(x);
        case ELU:
            return elu_gradient_kernel(x);
        case RELIE:
            return relie_gradient_kernel(x);
        case RAMP:
            return ramp_gradient_kernel(x);
        case LEAKY:
            return leaky_gradient_kernel(x);
        case TANH:
            return tanh_gradient_kernel(x);
        case PLSE:
            return plse_gradient_kernel(x);
    }
    return 0;
}

__global__ void activate_array_kernel(float *x, int n, ACTIVATION a)
{
    int i = (blockIdx.x + blockIdx.y*gridDim.x) * blockDim.x + threadIdx.x;
    if(i < n) x[i] = activate_kernel(x[i], a);
}

__global__ void gradient_array_kernel(float *x, int n, ACTIVATION a, float *delta)
{
    int i = (blockIdx.x + blockIdx.y*gridDim.x) * blockDim.x + threadIdx.x;
    if(i < n) delta[i] *= gradient_kernel(x[i], a);
}

extern "C" void activate_array_ongpu(float *x, int n, ACTIVATION a) 
{
    activate_array_kernel<<<cuda_gridsize(n), BLOCK>>>(x, n, a);
    check_error(cudaPeekAtLastError());
}

extern "C" void gradient_array_ongpu(float *x, int n, ACTIVATION a, float *delta) 
{
    gradient_array_kernel<<<cuda_gridsize(n), BLOCK>>>(x, n, a, delta);
    check_error(cudaPeekAtLastError());
}

LOGISTIC 的表达式

y=1.01.0+e−x

dydx=1

RELU 的表达式

y={x0 if x>0 if x≤0

RELIE 的表达式

y={x0if x>0if x≤0

dydx={10if x>0if x≤0

LINEAR 的表达式

y=x

dydx=1

RAMP 的表达式

y={x+0.1x0.1xif x>0if x≤0

dydx={1+0.10.1if x>0if x≤0

TANH 的表达式

y=e2x−1e2x+1

dydx=1−x2

PLSE 的表达式

y=⎧⎩⎨0.01(x+4)0.01(x−4)0.125x+0.5if x<−4if x>4if x=4

dydx={0.010.125if x<0∥x>1if x=4

LEAKY 的表达式

y={x0.1xif x>0if x≤0

dydx={10.1if x>0if x≤0

ELU 的表达式

y={xex−1if x≥0if x<0

dydx={1x+1if x≥0if x<0

LOGGY 的表达式

y=2.01.0+e−x−1=1.0−e−x1.0+e−x

dydx=21−x1+x