Update 'algorithm/optimization/gradient.py'

This commit is contained in:
TerenceLiu 2023-02-19 12:44:35 +08:00
parent 6d94f93a06
commit 467e8871af
1 changed files with 7 additions and 4 deletions

View File

@ -121,7 +121,7 @@ class gd_1d(object):
fig.add_trace(go.Scatter(x=xx1, y=fx))
fig.add_traces(go.Scatter(x=None, y=None, mode="lines + markers", marker=dict(size=10), line={"color":"#de1032", "width":3, 'dash': 'dash'}))
fig.add_traces(go.Scatter(x=None, y=None, mode="lines", line={"color":"#debc10", "width":3, 'dash': 'dash'}))
fig.add_traces(go.Scatter(x=None, y=None, mode="lines", line={"color":"#de3210", "width":3, 'dash': 'dash'}))
#fig.add_traces(go.Scatter(x=None, y=None, mode="lines", line={"color":"#de3210", "width":3, 'dash': 'dash'}))
frames = [go.Frame(data=[go.Scatter(x=xx1, y=fx),
go.Scatter(x=np.array(self.xn_list)[:k+1], y=f_xn),
go.Scatter(x=tangent_x[k], y=tangent_y[k]),
@ -150,7 +150,7 @@ class gd2d(object):
def initialization_default(self, environ):
pio.renderers.default = environ # 'notebook' or 'colab' or 'jupyterlab'
self.wg_expr = widgets.Dropdown(options=[("(1 - 8 * x1 + 7 * x1**2 - (7/3) * x1**3 + (1/4) * x1**4) * x2**2 * E**(-x2)", "(1 - 8 * x1 + 7 * x1**2 - (7/3) * x1**3 + (1/4) * x1**4) * x2**2 * E**(-x2)"), ("(sin(x1) - 2) ** 2 + (sin(x2) - 2) ** 2", "(sin(x1) - 2) ** 2 + (sin(x2) - 2) ** 2")], value="(1 - 8 * x1 + 7 * x1**2 - (7/3) * x1**3 + (1/4) * x1**4) * x2**2 * E**(-x2)", descrption="Expression")
self.wg_expr = widgets.Dropdown(options=[("(1 - 8 * x1 + 7 * x1**2 - (7/3) * x1**3 + (1/4) * x1**4) * x2**2 * E**(-x2)", "(1 - 8 * x1 + 7 * x1**2 - (7/3) * x1**3 + (1/4) * x1**4) * x2**2 * E**(-x2)"), ("x1 - x2 + 2*x1*x2 + 2*x1**2 + x2**2", "x1 - x2 + 2*x1*x2 + 2*x1**2 + x2**2")], value="(1 - 8 * x1 + 7 * x1**2 - (7/3) * x1**3 + (1/4) * x1**4) * x2**2 * E**(-x2)", descrption="Expression")
self.wg_x0 = widgets.Text(value="0,2", description="Startpoint:")
self.wg_lr = widgets.FloatText(value="1e-1", description="step size:")
self.wg_epsilon = widgets.FloatText(value="1e-5", description="criterion:")
@ -314,7 +314,7 @@ class gd2d_compete(object):
def initialization(self, environ):
pio.renderers.default = environ # 'notebook' or 'colab' or 'jupyterlab'
self.timer = 0
self.wg_expr = widgets.Dropdown(options=[("(1 - 8 * x1 + 7 * x1**2 - (7/3) * x1**3 + (1/4) * x1**4) * x2**2 * E**(-x2)", "(1 - 8 * x1 + 7 * x1**2 - (7/3) * x1**3 + (1/4) * x1**4) * x2**2 * E**(-x2)"), ("(sin(x1) - 2) ** 2 + (sin(x2) - 2) ** 2", "(sin(x1) - 2) ** 2 + (sin(x2) - 2) ** 2")], value="(1 - 8 * x1 + 7 * x1**2 - (7/3) * x1**3 + (1/4) * x1**4) * x2**2 * E**(-x2)", descrption="Expression")
self.wg_expr = widgets.Dropdown(options=[("(1 - 8 * x1 + 7 * x1**2 - (7/3) * x1**3 + (1/4) * x1**4) * x2**2 * E**(-x2)", "(1 - 8 * x1 + 7 * x1**2 - (7/3) * x1**3 + (1/4) * x1**4) * x2**2 * E**(-x2)"), ("x1 - x2 + 2*x1*x2 + 2*x1**2 + x2**2", "x1 - x2 + 2*x1*x2 + 2*x1**2 + x2**2")], value="(1 - 8 * x1 + 7 * x1**2 - (7/3) * x1**3 + (1/4) * x1**4) * x2**2 * E**(-x2)", descrption="Expression")
self.wg_x0 = widgets.Text(value="0,2", description="Init point:")
self.wg_lr = widgets.FloatText(value="0.1", description="step size:")
self.wg_direction_p0 = widgets.Text(value="0.5,1", description="Direction (a1)")
@ -364,7 +364,10 @@ class gd2d_compete(object):
with self.plot_output:
clear_output(wait=True)
x1, x2 =symbols("x1 x2")
xx1, xx2 = np.arange(0, 5, 0.25), np.arange(0, 5, 0.25)
if self.wg_expr.value == "(1 - 8 * x1 + 7 * x1**2 - (7/3) * x1**3 + (1/4) * x1**4) * x2**2 * E**(-x2)":
xx1, xx2 = np.arange(0, 5, 0.25), np.arange(0, 5, 0.25)
else:
xx1, xx2 = np.arange(-5, 5, 0.25), np.arange(-5, 5, 0.25)
xx1, xx2 = np.meshgrid(xx1, xx2)
func = lambdify((x1, x2), sympify(self.wg_expr.value), "numpy")
fx = func(xx1, xx2)