Mastercard / pages /6_Build_Response_Curves.py
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import streamlit as st
import plotly.express as px
import numpy as np
import plotly.graph_objects as go
from utilities import channel_name_formating, load_authenticator, initialize_data
from sklearn.metrics import r2_score
from collections import OrderedDict
from classes import class_from_dict,class_to_dict
import pickle
import json
for k, v in st.session_state.items():
if k not in ['logout', 'login','config'] and not k.startswith('FormSubmitter'):
st.session_state[k] = v
def s_curve(x,K,b,a,x0):
return K / (1 + b*np.exp(-a*(x-x0)))
def save_scenario(scenario_name):
"""
Save the current scenario with the mentioned name in the session state
Parameters
----------
scenario_name
Name of the scenario to be saved
"""
if 'saved_scenarios' not in st.session_state:
st.session_state = OrderedDict()
#st.session_state['saved_scenarios'][scenario_name] = st.session_state['scenario'].save()
st.session_state['saved_scenarios'][scenario_name] = class_to_dict(st.session_state['scenario'])
st.session_state['scenario_input'] = ""
print(type(st.session_state['saved_scenarios']))
with open('../saved_scenarios.pkl', 'wb') as f:
pickle.dump(st.session_state['saved_scenarios'],f)
def reset_curve_parameters():
del st.session_state['K']
del st.session_state['b']
del st.session_state['a']
del st.session_state['x0']
def update_response_curve():
# st.session_state['rcs'][selected_channel_name]['K'] = st.session_state['K']
# st.session_state['rcs'][selected_channel_name]['b'] = st.session_state['b']
# st.session_state['rcs'][selected_channel_name]['a'] = st.session_state['a']
# st.session_state['rcs'][selected_channel_name]['x0'] = st.session_state['x0']
# rcs = st.session_state['rcs']
_channel_class = st.session_state['scenario'].channels[selected_channel_name]
_channel_class.update_response_curves({
'K' : st.session_state['K'],
'b' : st.session_state['b'],
'a' : st.session_state['a'],
'x0' : st.session_state['x0']})
# authenticator = st.session_state.get('authenticator')
# if authenticator is None:
# authenticator = load_authenticator()
# name, authentication_status, username = authenticator.login('Login', 'main')
# auth_status = st.session_state.get('authentication_status')
# if auth_status == True:
# is_state_initiaized = st.session_state.get('initialized',False)
# if not is_state_initiaized:
# print("Scenario page state reloaded")
initialize_data()
st.subheader("Build response curves")
channels_list = st.session_state['channels_list']
selected_channel_name = st.selectbox('Channel', st.session_state['channels_list'] + ['Others'], format_func=channel_name_formating,on_change=reset_curve_parameters)
rcs = {}
for channel_name in channels_list:
rcs[channel_name] = st.session_state['scenario'].channels[channel_name].response_curve_params
# rcs = st.session_state['rcs']
if 'K' not in st.session_state:
st.session_state['K'] = rcs[selected_channel_name]['K']
if 'b' not in st.session_state:
st.session_state['b'] = rcs[selected_channel_name]['b']
if 'a' not in st.session_state:
st.session_state['a'] = rcs[selected_channel_name]['a']
if 'x0' not in st.session_state:
st.session_state['x0'] = rcs[selected_channel_name]['x0']
x = st.session_state['actual_input_df'][selected_channel_name].values
y = st.session_state['actual_contribution_df'][selected_channel_name].values
power = (np.ceil(np.log(x.max()) / np.log(10) )- 3)
# fig = px.scatter(x, s_curve(x/10**power,
# st.session_state['K'],
# st.session_state['b'],
# st.session_state['a'],
# st.session_state['x0']))
fig = px.scatter(x=x, y=y)
fig.add_trace(go.Scatter(x=sorted(x), y=s_curve(sorted(x)/10**power,st.session_state['K'],
st.session_state['b'],
st.session_state['a'],
st.session_state['x0']),
line=dict(color='red')))
fig.update_layout(title_text="Response Curve",showlegend=False)
fig.update_annotations(font_size=10)
fig.update_xaxes(title='Spends')
fig.update_yaxes(title='Revenue')
st.plotly_chart(fig,use_container_width=True)
r2 = r2_score(y, s_curve(x / 10**power,
st.session_state['K'],
st.session_state['b'],
st.session_state['a'],
st.session_state['x0']))
st.metric('R2',round(r2,2))
columns = st.columns(4)
with columns[0]:
st.number_input('K',key='K',format="%0.5f")
with columns[1]:
st.number_input('b',key='b',format="%0.5f")
with columns[2]:
st.number_input('a',key='a',step=0.0001,format="%0.5f")
with columns[3]:
st.number_input('x0',key='x0',format="%0.5f")
st.button('Update parameters',on_click=update_response_curve)
st.button('Reset parameters',on_click=reset_curve_parameters)
scenario_name = st.text_input('Scenario name', key='scenario_input',placeholder='Scenario name',label_visibility='collapsed')
st.button('Save', on_click=lambda : save_scenario(scenario_name),disabled=len(st.session_state['scenario_input']) == 0)
file_name = st.text_input('rcs download file name', key='file_name_input',placeholder='file name',label_visibility='collapsed')
st.download_button(
label="Download response curves",
data=json.dumps(rcs),
file_name=f"{file_name}.json",
mime="application/json",
disabled= len(file_name) == 0,
)
def s_curve_derivative(x, K, b, a, x0):
# Derivative of the S-curve function
return a * b * K * np.exp(-a * (x - x0)) / ((1 + b * np.exp(-a * (x - x0))) ** 2)
# Parameters of the S-curve
K = st.session_state['K']
b = st.session_state['b']
a = st.session_state['a']
x0 = st.session_state['x0']
# Optimized spend value obtained from the tool
optimized_spend = st.number_input('value of x') # Replace this with your optimized spend value
# Calculate the slope at the optimized spend value
slope_at_optimized_spend = s_curve_derivative(optimized_spend, K, b, a, x0)
st.write("Slope ", slope_at_optimized_spend)