File size: 11,652 Bytes
669d733 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 | import streamlit as st
import numpy as np
import pandas as pd
import yfinance as yf
from scipy.signal import hilbert
from datetime import datetime
import matplotlib.pyplot as plt
import seaborn as sns
import warnings
warnings.filterwarnings('ignore')
st.set_page_config(page_title="Motor TFE", page_icon="🌊", layout="wide")
# ============================================================
# MOTOR TFE
# ============================================================
class FrCalculator:
def __init__(self, W_macro=63, W_micro=21):
self.W_macro = W_macro
self.W_micro = W_micro
def compute_inertia_series(self, macro_returns):
rho = macro_returns.rolling(window=self.W_macro).apply(
lambda x: pd.Series(x).autocorr(lag=1) if len(x) > 1 else np.nan, raw=False)
rho_clipped = np.clip(rho, -0.99, 0.98)
tau_memory = 1.0 / (1.0 - rho_clipped)
var_movil = macro_returns.rolling(window=self.W_macro).var()
var_norm = var_movil / var_movil.expanding().mean()
return tau_memory * np.clip(var_norm, 1.0, 5.0)
def compute_coherence_series(self, micro_returns):
q_series = np.full(len(micro_returns), np.nan)
matriz = micro_returns.values
for i in range(self.W_micro, len(matriz)):
win = matriz[i - self.W_micro:i]
if np.min(np.std(win, axis=0)) > 1e-10:
corr = np.corrcoef(win, rowvar=False)
eigenvalues = np.linalg.eigvalsh(corr)
q_series[i] = eigenvalues[-1] / np.sum(eigenvalues)
return pd.Series(q_series, index=micro_returns.index)
def compute_fr_series(self, macro_returns, micro_returns):
tau = self.compute_inertia_series(macro_returns)
q = self.compute_coherence_series(micro_returns)
df = pd.DataFrame({'tau': tau, 'q': q}).dropna()
df['fr'] = df['tau'] * df['q']
exp_mean = df['fr'].expanding(min_periods=252).mean()
exp_std = df['fr'].expanding(min_periods=252).std()
df['fr_normalized'] = (df['fr'] - exp_mean) / exp_std
return df.dropna()
class EMDDecomposer:
def __init__(self):
self.scales = {'short': (5, 21), 'medium': (21, 63), 'long': (63, 252)}
def decompose(self, signal_series):
signal = signal_series.fillna(method='ffill').fillna(0).values
N = len(signal)
if N < 100:
return None
fft_signal = np.fft.fft(signal)
freqs = np.fft.fftfreq(N, d=1.0)
components = {}
for name, (period_min, period_max) in self.scales.items():
f_max = 1.0 / period_min
f_min = 1.0 / period_max
mask = ((np.abs(freqs) >= f_min) & (np.abs(freqs) <= f_max))
fft_filtered = fft_signal * mask
component = np.real(np.fft.ifft(fft_filtered))
components[name] = pd.Series(component, index=signal_series.index)
return components
class PhaseAnalyzer:
@staticmethod
def analyze(signal_component):
s = signal_component.fillna(method='ffill').fillna(0).values
if len(s) < 50:
return None
s_centered = s - np.mean(s)
analytic = hilbert(s_centered)
return {
'phase': pd.Series(np.unwrap(np.angle(analytic)), index=signal_component.index),
'amplitude': pd.Series(np.abs(analytic), index=signal_component.index),
}
class SyncAnalyzer:
@staticmethod
def kuramoto(phases_dict, amplitudes_dict=None):
df_phases = pd.DataFrame(phases_dict).dropna()
if df_phases.empty:
return pd.Series(dtype=float)
if amplitudes_dict is not None:
df_amp = pd.DataFrame(amplitudes_dict).reindex(df_phases.index).fillna(method='ffill')
complex_sum = (df_amp * np.exp(1j * df_phases)).sum(axis=1)
R = np.abs(complex_sum) / df_amp.sum(axis=1).replace(0, np.nan)
else:
R = np.abs(np.exp(1j * df_phases).mean(axis=1))
return R.fillna(0)
@staticmethod
def plv(phase_i, phase_j, window=63):
df = pd.DataFrame({'i': phase_i, 'j': phase_j}).dropna()
if len(df) < window:
return pd.Series(dtype=float)
diff = df['i'] - df['j']
plv = pd.Series(index=df.index, dtype=float)
for k in range(window, len(df)):
wd = diff.iloc[k - window:k].values
plv.iloc[k] = np.abs(np.mean(np.exp(1j * wd)))
return plv
TOPOLOGIA = {
'CAPITAL_GLOBAL': {'macro': 'SPY', 'micro': ['XLK','XLF','XLE','XLV','XLI','XLY'],
'W_macro': 63, 'W_micro': 21, 'desc': 'Mercado accionario EE.UU.'},
'GRAVEDAD_SISTEMICA': {'macro': '^TNX', 'micro': ['^IRX','^FVX','^TYX'],
'W_macro': 63, 'W_micro': 63, 'desc': 'Curva de tasas Tesoro'},
'MATERIA_FISICA': {'macro': 'CL=F', 'micro': ['GC=F','ZS=F','HG=F'],
'W_macro': 63, 'W_micro': 63, 'desc': 'Commodities'},
'DIGITAL_OCCIDENTE': {'macro': 'BTC-USD', 'micro': ['ETH-USD','SOL-USD','LINK-USD'],
'W_macro': 30, 'W_micro': 21, 'desc': 'Cripto'},
'SOBERANO_ARGENTINA': {'macro': 'ARGT', 'micro': ['YPF','GGAL','PAM','CEPU'],
'W_macro': 63, 'W_micro': 21, 'desc': 'Argentina'},
}
@st.cache_data(ttl=3600)
def cargar_datos(macro_ticker, micro_tickers, period="20y"):
tickers = [macro_ticker] + list(micro_tickers)
data = yf.download(tickers, period=period, progress=False, auto_adjust=True)['Close']
if isinstance(data, pd.Series):
data = data.to_frame()
data = data.ffill().bfill().dropna()
if len(data) < 252:
return None, None
returns = np.log(data / data.shift(1)).dropna()
if macro_ticker in returns.columns:
return returns[macro_ticker], returns[list(micro_tickers)]
return None, None
@st.cache_data(ttl=3600)
def procesar_subsistema(nombre):
config = TOPOLOGIA[nombre]
period = "max" if 'BTC' in config['macro'] else "20y"
macro, micro = cargar_datos(config['macro'], config['micro'], period)
if macro is None or len(macro) < 252:
return None
fr_calc = FrCalculator(W_macro=config['W_macro'], W_micro=config['W_micro'])
df_fr = fr_calc.compute_fr_series(macro, micro)
if df_fr is None or len(df_fr) < 252:
return None
emd = EMDDecomposer()
components = emd.decompose(df_fr['fr_normalized'])
if components is None:
return None
analyses = {}
for cn, cs in components.items():
r = PhaseAnalyzer.analyze(cs)
if r is not None:
analyses[cn] = r
return {'fr_series': df_fr, 'wave_analyses': analyses,
'first_date': df_fr.index[0], 'last_date': df_fr.index[-1],
'desc': config['desc']}
def calcular_sync(processed, scale='medium'):
phases, amps = {}, {}
for n, d in processed.items():
if d is None or scale not in d['wave_analyses']:
continue
w = d['wave_analyses'][scale]
phases[n] = w['phase']
amps[n] = w['amplitude']
if len(phases) < 2:
return None, None
R = SyncAnalyzer.kuramoto(phases, amps)
names = list(phases.keys())
plv = pd.DataFrame(index=names, columns=names, dtype=float)
for i, n1 in enumerate(names):
for j, n2 in enumerate(names):
if i == j:
plv.loc[n1, n2] = 1.0
elif i < j:
ps = SyncAnalyzer.plv(phases[n1], phases[n2], 63)
lp = float(ps.iloc[-1]) if len(ps) > 0 else np.nan
plv.loc[n1, n2] = lp
plv.loc[n2, n1] = lp
return R, plv
# ============================================================
# INTERFAZ
# ============================================================
st.title("🌊 Motor TFE — Sincronización Sistémica")
st.caption("Teoría de Fragilidad Espectral · Detección de coherencia entre subsistemas vía Kuramoto + Hilbert")
st.sidebar.header("Control")
if st.sidebar.button("🔄 Actualizar datos"):
st.cache_data.clear()
st.rerun()
st.sidebar.markdown("---")
st.sidebar.markdown("**Subsistemas activos:**")
for k, v in TOPOLOGIA.items():
st.sidebar.text(f"• {k}")
st.sidebar.markdown("---")
st.sidebar.caption(f"Última carga: {datetime.now().strftime('%Y-%m-%d %H:%M')}")
with st.spinner("Procesando subsistemas (puede tardar 1-2 minutos la primera vez)..."):
processed = {}
progress = st.progress(0)
for i, nombre in enumerate(TOPOLOGIA):
processed[nombre] = procesar_subsistema(nombre)
progress.progress((i + 1) / len(TOPOLOGIA))
progress.empty()
# Estado por subsistema
st.subheader("📊 Estado actual por subsistema")
cols = st.columns(len(TOPOLOGIA))
for col, (nombre, data) in zip(cols, processed.items()):
with col:
if data is None:
st.metric(nombre, "—", "sin datos")
continue
last = data['fr_series'].iloc[-1]
delta_color = "inverse" if last['fr_normalized'] > 1 else "normal"
st.metric(label=nombre, value=f"Q={last['q']:.3f}",
delta=f"τ={last['tau']:.2f} | Fr={last['fr_normalized']:+.2f}σ",
delta_color=delta_color)
st.caption(data['desc'])
# Sincronización por escala
st.subheader("🔬 Sincronización Kuramoto multi-escala")
st.caption("R(t) = parámetro de orden. R→1 = ondas en fase (resonancia). R→0 = sistema disipado.")
cols = st.columns(3)
for col, scale in zip(cols, ['short', 'medium', 'long']):
with col:
R, _ = calcular_sync(processed, scale)
if R is None or len(R) == 0:
st.warning(f"{scale}: sin datos")
continue
recent = R.iloc[-21:]
R_now = recent.iloc[-1]
R_max = recent.max()
slope = np.polyfit(np.arange(len(recent)), recent.values, 1)[0]
label = {'short': '⚡ Corto (5-21d)', 'medium': '🌊 Medio (21-63d)',
'long': '🏔️ Largo (63-252d)'}[scale]
st.metric(label, f"R = {R_now:.3f}",
delta=f"max 21d: {R_max:.3f} | dR/dt: {slope:+.4f}")
# Gráfico de R(t)
st.subheader("📈 Evolución histórica de R(t)")
fig, axes = plt.subplots(3, 1, figsize=(14, 9), sharex=True)
labels = {'short': 'CORTO (5-21d) - Shocks',
'medium': 'MEDIO (21-63d) - Incubaciones',
'long': 'LARGO (63-252d) - Régimen'}
for ax, scale in zip(axes, ['short', 'medium', 'long']):
R, _ = calcular_sync(processed, scale)
if R is None or len(R) == 0:
continue
ax.plot(R.index, R.values, color='steelblue', lw=0.8)
ax.axhline(0.70, color='orange', ls='--', alpha=0.7, label='Aviso (0.70)')
ax.axhline(0.85, color='red', ls='--', alpha=0.7, label='Crítico (0.85)')
ax.fill_between(R.index, 0, R.values, alpha=0.15, color='steelblue')
ax.set_ylabel(f'R - {scale}')
ax.set_title(labels[scale])
ax.set_ylim(0, 1.05)
ax.legend(loc='upper left', fontsize=8)
ax.grid(alpha=0.3)
plt.tight_layout()
st.pyplot(fig)
# PLV
st.subheader("🔗 Phase Locking Value entre subsistemas (escala media)")
_, plv = calcular_sync(processed, 'medium')
if plv is not None:
fig2, ax2 = plt.subplots(figsize=(9, 7))
sns.heatmap(plv.astype(float), annot=True, fmt='.2f',
cmap='RdYlBu_r', center=0.5, vmin=0, vmax=1,
cbar_kws={'label': 'PLV'}, ax=ax2)
ax2.set_title('PLV > 0.80 = par fuertemente acoplado')
plt.tight_layout()
st.pyplot(fig2)
st.markdown("---")
st.caption("Motor TFE v2.2 · Datos: Yahoo Finance · Cache: 1 hora · "
"Fundamento: Kuramoto (1984), Scheffer (2009), Vicente (2012)")
|