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Create app.py

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  1. app.py +284 -0
app.py ADDED
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+ import streamlit as st
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+ import numpy as np
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+ import pandas as pd
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+ import yfinance as yf
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+ from scipy.signal import hilbert
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+ from datetime import datetime
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+ import matplotlib.pyplot as plt
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+ import seaborn as sns
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+ import warnings
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+ warnings.filterwarnings('ignore')
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+
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+ st.set_page_config(page_title="Motor TFE", page_icon="🌊", layout="wide")
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+
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+ # ============================================================
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+ # MOTOR TFE
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+ # ============================================================
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+ class FrCalculator:
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+ def __init__(self, W_macro=63, W_micro=21):
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+ self.W_macro = W_macro
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+ self.W_micro = W_micro
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+
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+ def compute_inertia_series(self, macro_returns):
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+ rho = macro_returns.rolling(window=self.W_macro).apply(
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+ lambda x: pd.Series(x).autocorr(lag=1) if len(x) > 1 else np.nan, raw=False)
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+ rho_clipped = np.clip(rho, -0.99, 0.98)
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+ tau_memory = 1.0 / (1.0 - rho_clipped)
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+ var_movil = macro_returns.rolling(window=self.W_macro).var()
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+ var_norm = var_movil / var_movil.expanding().mean()
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+ return tau_memory * np.clip(var_norm, 1.0, 5.0)
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+
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+ def compute_coherence_series(self, micro_returns):
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+ q_series = np.full(len(micro_returns), np.nan)
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+ matriz = micro_returns.values
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+ for i in range(self.W_micro, len(matriz)):
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+ win = matriz[i - self.W_micro:i]
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+ if np.min(np.std(win, axis=0)) > 1e-10:
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+ corr = np.corrcoef(win, rowvar=False)
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+ eigenvalues = np.linalg.eigvalsh(corr)
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+ q_series[i] = eigenvalues[-1] / np.sum(eigenvalues)
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+ return pd.Series(q_series, index=micro_returns.index)
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+
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+ def compute_fr_series(self, macro_returns, micro_returns):
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+ tau = self.compute_inertia_series(macro_returns)
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+ q = self.compute_coherence_series(micro_returns)
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+ df = pd.DataFrame({'tau': tau, 'q': q}).dropna()
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+ df['fr'] = df['tau'] * df['q']
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+ exp_mean = df['fr'].expanding(min_periods=252).mean()
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+ exp_std = df['fr'].expanding(min_periods=252).std()
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+ df['fr_normalized'] = (df['fr'] - exp_mean) / exp_std
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+ return df.dropna()
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+
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+ class EMDDecomposer:
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+ def __init__(self):
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+ self.scales = {'short': (5, 21), 'medium': (21, 63), 'long': (63, 252)}
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+
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+ def decompose(self, signal_series):
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+ signal = signal_series.fillna(method='ffill').fillna(0).values
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+ N = len(signal)
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+ if N < 100:
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+ return None
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+ fft_signal = np.fft.fft(signal)
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+ freqs = np.fft.fftfreq(N, d=1.0)
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+ components = {}
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+ for name, (period_min, period_max) in self.scales.items():
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+ f_max = 1.0 / period_min
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+ f_min = 1.0 / period_max
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+ mask = ((np.abs(freqs) >= f_min) & (np.abs(freqs) <= f_max))
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+ fft_filtered = fft_signal * mask
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+ component = np.real(np.fft.ifft(fft_filtered))
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+ components[name] = pd.Series(component, index=signal_series.index)
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+ return components
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+
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+ class PhaseAnalyzer:
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+ @staticmethod
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+ def analyze(signal_component):
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+ s = signal_component.fillna(method='ffill').fillna(0).values
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+ if len(s) < 50:
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+ return None
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+ s_centered = s - np.mean(s)
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+ analytic = hilbert(s_centered)
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+ return {
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+ 'phase': pd.Series(np.unwrap(np.angle(analytic)), index=signal_component.index),
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+ 'amplitude': pd.Series(np.abs(analytic), index=signal_component.index),
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+ }
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+
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+ class SyncAnalyzer:
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+ @staticmethod
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+ def kuramoto(phases_dict, amplitudes_dict=None):
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+ df_phases = pd.DataFrame(phases_dict).dropna()
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+ if df_phases.empty:
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+ return pd.Series(dtype=float)
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+ if amplitudes_dict is not None:
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+ df_amp = pd.DataFrame(amplitudes_dict).reindex(df_phases.index).fillna(method='ffill')
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+ complex_sum = (df_amp * np.exp(1j * df_phases)).sum(axis=1)
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+ R = np.abs(complex_sum) / df_amp.sum(axis=1).replace(0, np.nan)
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+ else:
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+ R = np.abs(np.exp(1j * df_phases).mean(axis=1))
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+ return R.fillna(0)
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+
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+ @staticmethod
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+ def plv(phase_i, phase_j, window=63):
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+ df = pd.DataFrame({'i': phase_i, 'j': phase_j}).dropna()
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+ if len(df) < window:
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+ return pd.Series(dtype=float)
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+ diff = df['i'] - df['j']
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+ plv = pd.Series(index=df.index, dtype=float)
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+ for k in range(window, len(df)):
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+ wd = diff.iloc[k - window:k].values
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+ plv.iloc[k] = np.abs(np.mean(np.exp(1j * wd)))
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+ return plv
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+
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+ TOPOLOGIA = {
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+ 'CAPITAL_GLOBAL': {'macro': 'SPY', 'micro': ['XLK','XLF','XLE','XLV','XLI','XLY'],
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+ 'W_macro': 63, 'W_micro': 21, 'desc': 'Mercado accionario EE.UU.'},
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+ 'GRAVEDAD_SISTEMICA': {'macro': '^TNX', 'micro': ['^IRX','^FVX','^TYX'],
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+ 'W_macro': 63, 'W_micro': 63, 'desc': 'Curva de tasas Tesoro'},
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+ 'MATERIA_FISICA': {'macro': 'CL=F', 'micro': ['GC=F','ZS=F','HG=F'],
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+ 'W_macro': 63, 'W_micro': 63, 'desc': 'Commodities'},
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+ 'DIGITAL_OCCIDENTE': {'macro': 'BTC-USD', 'micro': ['ETH-USD','SOL-USD','LINK-USD'],
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+ 'W_macro': 30, 'W_micro': 21, 'desc': 'Cripto'},
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+ 'SOBERANO_ARGENTINA': {'macro': 'ARGT', 'micro': ['YPF','GGAL','PAM','CEPU'],
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+ 'W_macro': 63, 'W_micro': 21, 'desc': 'Argentina'},
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+ }
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+
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+ @st.cache_data(ttl=3600)
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+ def cargar_datos(macro_ticker, micro_tickers, period="20y"):
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+ tickers = [macro_ticker] + list(micro_tickers)
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+ data = yf.download(tickers, period=period, progress=False, auto_adjust=True)['Close']
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+ if isinstance(data, pd.Series):
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+ data = data.to_frame()
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+ data = data.ffill().bfill().dropna()
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+ if len(data) < 252:
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+ return None, None
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+ returns = np.log(data / data.shift(1)).dropna()
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+ if macro_ticker in returns.columns:
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+ return returns[macro_ticker], returns[list(micro_tickers)]
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+ return None, None
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+
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+ @st.cache_data(ttl=3600)
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+ def procesar_subsistema(nombre):
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+ config = TOPOLOGIA[nombre]
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+ period = "max" if 'BTC' in config['macro'] else "20y"
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+ macro, micro = cargar_datos(config['macro'], config['micro'], period)
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+ if macro is None or len(macro) < 252:
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+ return None
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+ fr_calc = FrCalculator(W_macro=config['W_macro'], W_micro=config['W_micro'])
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+ df_fr = fr_calc.compute_fr_series(macro, micro)
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+ if df_fr is None or len(df_fr) < 252:
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+ return None
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+ emd = EMDDecomposer()
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+ components = emd.decompose(df_fr['fr_normalized'])
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+ if components is None:
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+ return None
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+ analyses = {}
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+ for cn, cs in components.items():
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+ r = PhaseAnalyzer.analyze(cs)
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+ if r is not None:
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+ analyses[cn] = r
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+ return {'fr_series': df_fr, 'wave_analyses': analyses,
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+ 'first_date': df_fr.index[0], 'last_date': df_fr.index[-1],
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+ 'desc': config['desc']}
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+
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+ def calcular_sync(processed, scale='medium'):
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+ phases, amps = {}, {}
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+ for n, d in processed.items():
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+ if d is None or scale not in d['wave_analyses']:
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+ continue
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+ w = d['wave_analyses'][scale]
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+ phases[n] = w['phase']
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+ amps[n] = w['amplitude']
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+ if len(phases) < 2:
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+ return None, None
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+ R = SyncAnalyzer.kuramoto(phases, amps)
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+ names = list(phases.keys())
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+ plv = pd.DataFrame(index=names, columns=names, dtype=float)
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+ for i, n1 in enumerate(names):
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+ for j, n2 in enumerate(names):
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+ if i == j:
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+ plv.loc[n1, n2] = 1.0
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+ elif i < j:
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+ ps = SyncAnalyzer.plv(phases[n1], phases[n2], 63)
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+ lp = float(ps.iloc[-1]) if len(ps) > 0 else np.nan
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+ plv.loc[n1, n2] = lp
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+ plv.loc[n2, n1] = lp
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+ return R, plv
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+
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+ # ============================================================
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+ # INTERFAZ
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+ # ============================================================
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+ st.title("🌊 Motor TFE — Sincronización Sistémica")
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+ st.caption("Teoría de Fragilidad Espectral · Detección de coherencia entre subsistemas vía Kuramoto + Hilbert")
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+
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+ st.sidebar.header("Control")
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+ if st.sidebar.button("🔄 Actualizar datos"):
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+ st.cache_data.clear()
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+ st.rerun()
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+
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+ st.sidebar.markdown("---")
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+ st.sidebar.markdown("**Subsistemas activos:**")
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+ for k, v in TOPOLOGIA.items():
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+ st.sidebar.text(f"• {k}")
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+ st.sidebar.markdown("---")
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+ st.sidebar.caption(f"Última carga: {datetime.now().strftime('%Y-%m-%d %H:%M')}")
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+
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+ with st.spinner("Procesando subsistemas (puede tardar 1-2 minutos la primera vez)..."):
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+ processed = {}
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+ progress = st.progress(0)
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+ for i, nombre in enumerate(TOPOLOGIA):
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+ processed[nombre] = procesar_subsistema(nombre)
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+ progress.progress((i + 1) / len(TOPOLOGIA))
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+ progress.empty()
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+
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+ # Estado por subsistema
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+ st.subheader("📊 Estado actual por subsistema")
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+ cols = st.columns(len(TOPOLOGIA))
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+ for col, (nombre, data) in zip(cols, processed.items()):
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+ with col:
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+ if data is None:
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+ st.metric(nombre, "—", "sin datos")
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+ continue
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+ last = data['fr_series'].iloc[-1]
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+ delta_color = "inverse" if last['fr_normalized'] > 1 else "normal"
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+ st.metric(label=nombre, value=f"Q={last['q']:.3f}",
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+ delta=f"τ={last['tau']:.2f} | Fr={last['fr_normalized']:+.2f}σ",
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+ delta_color=delta_color)
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+ st.caption(data['desc'])
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+
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+ # Sincronización por escala
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+ st.subheader("🔬 Sincronización Kuramoto multi-escala")
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+ st.caption("R(t) = parámetro de orden. R→1 = ondas en fase (resonancia). R→0 = sistema disipado.")
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+
232
+ cols = st.columns(3)
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+ for col, scale in zip(cols, ['short', 'medium', 'long']):
234
+ with col:
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+ R, _ = calcular_sync(processed, scale)
236
+ if R is None or len(R) == 0:
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+ st.warning(f"{scale}: sin datos")
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+ continue
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+ recent = R.iloc[-21:]
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+ R_now = recent.iloc[-1]
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+ R_max = recent.max()
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+ slope = np.polyfit(np.arange(len(recent)), recent.values, 1)[0]
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+ label = {'short': '⚡ Corto (5-21d)', 'medium': '🌊 Medio (21-63d)',
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+ 'long': '🏔️ Largo (63-252d)'}[scale]
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+ st.metric(label, f"R = {R_now:.3f}",
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+ delta=f"max 21d: {R_max:.3f} | dR/dt: {slope:+.4f}")
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+
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+ # Gráfico de R(t)
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+ st.subheader("📈 Evolución histórica de R(t)")
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+ fig, axes = plt.subplots(3, 1, figsize=(14, 9), sharex=True)
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+ labels = {'short': 'CORTO (5-21d) - Shocks',
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+ 'medium': 'MEDIO (21-63d) - Incubaciones',
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+ 'long': 'LARGO (63-252d) - Régimen'}
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+ for ax, scale in zip(axes, ['short', 'medium', 'long']):
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+ R, _ = calcular_sync(processed, scale)
256
+ if R is None or len(R) == 0:
257
+ continue
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+ ax.plot(R.index, R.values, color='steelblue', lw=0.8)
259
+ ax.axhline(0.70, color='orange', ls='--', alpha=0.7, label='Aviso (0.70)')
260
+ ax.axhline(0.85, color='red', ls='--', alpha=0.7, label='Crítico (0.85)')
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+ ax.fill_between(R.index, 0, R.values, alpha=0.15, color='steelblue')
262
+ ax.set_ylabel(f'R - {scale}')
263
+ ax.set_title(labels[scale])
264
+ ax.set_ylim(0, 1.05)
265
+ ax.legend(loc='upper left', fontsize=8)
266
+ ax.grid(alpha=0.3)
267
+ plt.tight_layout()
268
+ st.pyplot(fig)
269
+
270
+ # PLV
271
+ st.subheader("🔗 Phase Locking Value entre subsistemas (escala media)")
272
+ _, plv = calcular_sync(processed, 'medium')
273
+ if plv is not None:
274
+ fig2, ax2 = plt.subplots(figsize=(9, 7))
275
+ sns.heatmap(plv.astype(float), annot=True, fmt='.2f',
276
+ cmap='RdYlBu_r', center=0.5, vmin=0, vmax=1,
277
+ cbar_kws={'label': 'PLV'}, ax=ax2)
278
+ ax2.set_title('PLV > 0.80 = par fuertemente acoplado')
279
+ plt.tight_layout()
280
+ st.pyplot(fig2)
281
+
282
+ st.markdown("---")
283
+ st.caption("Motor TFE v2.2 · Datos: Yahoo Finance · Cache: 1 hora · "
284
+ "Fundamento: Kuramoto (1984), Scheffer (2009), Vicente (2012)")