feat(examples): add anomaly detection and covariates examples

Anomaly Detection Example:
- Uses quantile forecasts as prediction intervals
- Flags values outside 80%/90% CI as warnings/critical anomalies
- Includes visualization with deviation plot

Covariates (XReg) Example:
- Demonstrates forecast_with_covariates() API
- Shows dynamic numerical/categorical covariates
- Shows static categorical covariates
- Includes synthetic retail sales data with price, promotion, holiday

SKILL.md Updates:
- Added anomaly detection section with code example
- Expanded covariates section with covariate types table
- Added XReg modes explanation
- Updated 'When not to use' section to note anomaly detection workaround
This commit is contained in:
Clayton Young
2026-02-21 17:55:15 -05:00
parent 1a65439ebf
commit 0d98fa353c
8 changed files with 1223 additions and 1 deletions

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@@ -47,10 +47,14 @@ Use this skill when:
Do **not** use this skill when:
- You need classical statistical models with coefficient interpretation → use `statsmodels`
- You need time series classification, clustering, or anomaly detection → use `aeon`
- You need time series classification or clustering → use `aeon`
- You need multivariate vector autoregression or Granger causality → use `statsmodels`
- Your data is tabular (not temporal) → use `scikit-learn`
> **Note on Anomaly Detection**: TimesFM does not have built-in anomaly detection, but you can
> use the **quantile forecasts as prediction intervals** — values outside the 90% CI (q10q90)
> are statistically unusual. See the `examples/anomaly-detection/` directory for a full example.
## ⚠️ Mandatory Preflight: System Requirements Check
**CRITICAL — ALWAYS run the system checker before loading the model for the first time.**
@@ -208,6 +212,61 @@ for i, col in enumerate(df.columns):
### Forecast with Covariates (XReg)
TimesFM 2.5+ supports exogenous variables through `forecast_with_covariates()`. Requires `timesfm[xreg]`.
```python
# Requires: uv pip install timesfm[xreg]
point, quantiles = model.forecast_with_covariates(
inputs=inputs,
dynamic_numerical_covariates={"price": price_arrays},
dynamic_categorical_covariates={"holiday": holiday_arrays},
static_categorical_covariates={"region": region_labels},
xreg_mode="xreg + timesfm", # or "timesfm + xreg"
)
```
| Covariate Type | Description | Example |
| -------------- | ----------- | ------- |
| `dynamic_numerical` | Time-varying numeric | price, temperature, promotion spend |
| `dynamic_categorical` | Time-varying categorical | holiday flag, day of week |
| `static_numerical` | Per-series numeric | store size, account age |
| `static_categorical` | Per-series categorical | store type, region, product category |
**XReg Modes:**
- `"xreg + timesfm"` (default): TimesFM forecasts first, then XReg adjusts residuals
- `"timesfm + xreg"`: XReg fits first, then TimesFM forecasts residuals
> See `examples/covariates-forecasting/` for a complete example with synthetic retail data.
### Anomaly Detection (via Quantile Intervals)
TimesFM does not have built-in anomaly detection, but the **quantile forecasts naturally provide
prediction intervals** that can detect anomalies:
```python
point, q = model.forecast(horizon=H, inputs=[values])
# 90% prediction interval
lower_90 = q[0, :, 1] # 10th percentile
upper_90 = q[0, :, 9] # 90th percentile
# Detect anomalies: values outside the 90% CI
actual = test_values # your holdout data
anomalies = (actual < lower_90) | (actual > upper_90)
# Severity levels
is_warning = (actual < q[0, :, 2]) | (actual > q[0, :, 8]) # outside 80% CI
is_critical = anomalies # outside 90% CI
```
| Severity | Condition | Interpretation |
| -------- | --------- | -------------- |
| **Normal** | Inside 80% CI | Expected behavior |
| **Warning** | Outside 80% CI | Unusual but possible |
| **Critical** | Outside 90% CI | Statistically rare (< 10% probability) |
> See `examples/anomaly-detection/` for a complete example with visualization.
```python
# Requires: uv pip install timesfm[xreg]
point, quantiles = model.forecast_with_covariates(

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@@ -0,0 +1,339 @@
#!/usr/bin/env python3
"""
TimesFM Anomaly Detection Example
This example demonstrates how to use TimesFM's quantile forecasts for
anomaly detection. The approach:
1. Forecast with quantile intervals (10th-90th percentiles)
2. Compare actual values against prediction intervals
3. Flag values outside intervals as anomalies
TimesFM does NOT have built-in anomaly detection, but the quantile
forecasts provide natural anomaly detection via prediction intervals.
"""
from __future__ import annotations
import json
from pathlib import Path
import matplotlib.pyplot as plt
import numpy as np
import pandas as pd
import timesfm
# Configuration
HORIZON = 12 # Forecast horizon
ANOMALY_THRESHOLD_WARNING = 0.80 # Outside 80% CI = warning
ANOMALY_THRESHOLD_CRITICAL = 0.90 # Outside 90% CI = critical
EXAMPLE_DIR = Path(__file__).parent
DATA_FILE = (
Path(__file__).parent.parent / "global-temperature" / "temperature_anomaly.csv"
)
OUTPUT_DIR = EXAMPLE_DIR / "output"
def inject_anomalies(
values: np.ndarray, n_anomalies: int = 3, seed: int = 42
) -> tuple[np.ndarray, list[int]]:
"""Inject synthetic anomalies into the data for demonstration."""
rng = np.random.default_rng(seed)
anomaly_indices = rng.choice(len(values), size=n_anomalies, replace=False).tolist()
anomalous_values = values.copy()
for idx in anomaly_indices:
# Inject spike or dip (±40-60% of value)
multiplier = rng.choice([0.4, 0.6]) * rng.choice([1, -1])
anomalous_values[idx] = values[idx] * (1 + multiplier)
return anomalous_values, sorted(anomaly_indices)
def main() -> None:
print("=" * 60)
print(" TIMESFM ANOMALY DETECTION DEMO")
print("=" * 60)
OUTPUT_DIR.mkdir(exist_ok=True)
# Load temperature data
print("\n📊 Loading temperature anomaly data...")
df = pd.read_csv(DATA_FILE, parse_dates=["date"])
df = df.sort_values("date").reset_index(drop=True)
# Split into context (first 24 months) and test (last 12 months)
context_values = df["anomaly_c"].values[:24].astype(np.float32)
actual_future = df["anomaly_c"].values[24:36].astype(np.float32)
dates_future = df["date"].values[24:36]
print(f" Context: 24 months (2022-01 to 2023-12)")
print(f" Test: 12 months (2024-01 to 2024-12)")
# Inject anomalies into test data for demonstration
print("\n🔬 Injecting synthetic anomalies for demonstration...")
test_values_with_anomalies, anomaly_indices = inject_anomalies(
actual_future, n_anomalies=3
)
print(f" Injected anomalies at months: {anomaly_indices}")
# Load TimesFM
print("\n🤖 Loading TimesFM 1.0 (200M) PyTorch...")
hparams = timesfm.TimesFmHparams(horizon_len=HORIZON)
checkpoint = timesfm.TimesFmCheckpoint(
huggingface_repo_id="google/timesfm-1.0-200m-pytorch"
)
model = timesfm.TimesFm(hparams=hparams, checkpoint=checkpoint)
# Forecast with quantiles
print("\n📈 Forecasting with quantile intervals...")
point_forecast, quantile_forecast = model.forecast(
[context_values],
freq=[0],
)
# Extract quantiles
# quantile_forecast shape: (1, 12, 10) - [mean, q10, q20, ..., q90]
point = point_forecast[0]
q10 = quantile_forecast[0, :, 0] # 10th percentile
q20 = quantile_forecast[0, :, 1] # 20th percentile
q50 = quantile_forecast[0, :, 4] # 50th percentile (median)
q80 = quantile_forecast[0, :, 7] # 80th percentile
q90 = quantile_forecast[0, :, 8] # 90th percentile
print(f" Forecast mean: {point.mean():.3f}°C")
print(f" 90% CI width: {(q90 - q10).mean():.3f}°C (avg)")
# Detect anomalies
print("\n🔍 Detecting anomalies...")
anomalies = []
for i, (actual, lower_80, upper_80, lower_90, upper_90) in enumerate(
zip(test_values_with_anomalies, q20, q80, q10, q90)
):
month = dates_future[i]
month_str = pd.to_datetime(month).strftime("%Y-%m")
if actual < lower_90 or actual > upper_90:
severity = "CRITICAL"
threshold = "90% CI"
color = "red"
elif actual < lower_80 or actual > upper_80:
severity = "WARNING"
threshold = "80% CI"
color = "orange"
else:
severity = "NORMAL"
threshold = "within bounds"
color = "green"
anomalies.append(
{
"month": month_str,
"actual": float(actual),
"forecast": float(point[i]),
"lower_80": float(lower_80),
"upper_80": float(upper_80),
"lower_90": float(lower_90),
"upper_90": float(upper_90),
"severity": severity,
"threshold": threshold,
"color": color,
}
)
if severity != "NORMAL":
deviation = abs(actual - point[i])
print(
f" [{severity}] {month_str}: {actual:.2f}°C (forecast: {point[i]:.2f}°C, deviation: {deviation:.2f}°C)"
)
# Create visualization
print("\n📊 Creating anomaly visualization...")
fig, axes = plt.subplots(2, 1, figsize=(14, 10))
# Plot 1: Full time series with forecast and anomalies
ax1 = axes[0]
# Historical data
historical_dates = df["date"].values[:24]
ax1.plot(
historical_dates,
context_values,
"b-",
linewidth=2,
label="Historical Data",
marker="o",
markersize=4,
)
# Actual future (with anomalies)
ax1.plot(
dates_future,
actual_future,
"g--",
linewidth=1.5,
label="Actual (clean)",
alpha=0.5,
)
ax1.plot(
dates_future,
test_values_with_anomalies,
"ko",
markersize=8,
label="Actual (with anomalies)",
alpha=0.7,
)
# Forecast
ax1.plot(
dates_future,
point,
"r-",
linewidth=2,
label="Forecast (median)",
marker="s",
markersize=6,
)
# 90% CI
ax1.fill_between(dates_future, q10, q90, alpha=0.2, color="red", label="90% CI")
# 80% CI
ax1.fill_between(dates_future, q20, q80, alpha=0.3, color="red", label="80% CI")
# Highlight anomalies
for anomaly in anomalies:
if anomaly["severity"] != "NORMAL":
idx = [pd.to_datetime(d).strftime("%Y-%m") for d in dates_future].index(
anomaly["month"]
)
ax1.scatter(
[dates_future[idx]],
[test_values_with_anomalies[idx]],
c=anomaly["color"],
s=200,
marker="x" if anomaly["severity"] == "CRITICAL" else "^",
linewidths=3,
zorder=5,
)
ax1.set_xlabel("Date", fontsize=12)
ax1.set_ylabel("Temperature Anomaly (°C)", fontsize=12)
ax1.set_title(
"TimesFM Anomaly Detection: Forecast Intervals Method",
fontsize=14,
fontweight="bold",
)
ax1.legend(loc="upper left", fontsize=10)
ax1.grid(True, alpha=0.3)
# Add annotation for anomalies
ax1.annotate(
"× = Critical (outside 90% CI)\n▲ = Warning (outside 80% CI)",
xy=(0.98, 0.02),
xycoords="axes fraction",
ha="right",
va="bottom",
fontsize=10,
bbox=dict(boxstyle="round", facecolor="wheat", alpha=0.8),
)
# Plot 2: Deviation from forecast with thresholds
ax2 = axes[1]
deviation = test_values_with_anomalies - point
lower_90_dev = q10 - point
upper_90_dev = q90 - point
lower_80_dev = q20 - point
upper_80_dev = q80 - point
months = [pd.to_datetime(d).strftime("%Y-%m") for d in dates_future]
x = np.arange(len(months))
# Threshold bands
ax2.fill_between(
x, lower_90_dev, upper_90_dev, alpha=0.2, color="red", label="90% CI bounds"
)
ax2.fill_between(
x, lower_80_dev, upper_80_dev, alpha=0.3, color="red", label="80% CI bounds"
)
# Deviation bars
colors = [
"red"
if d < lower_90_dev[i] or d > upper_90_dev[i]
else "orange"
if d < lower_80_dev[i] or d > upper_80_dev[i]
else "green"
for i, d in enumerate(deviation)
]
ax2.bar(x, deviation, color=colors, alpha=0.7, edgecolor="black", linewidth=0.5)
# Zero line
ax2.axhline(y=0, color="black", linestyle="-", linewidth=1)
ax2.set_xlabel("Month", fontsize=12)
ax2.set_ylabel("Deviation from Forecast (°C)", fontsize=12)
ax2.set_title(
"Deviation from Forecast with Anomaly Thresholds",
fontsize=14,
fontweight="bold",
)
ax2.set_xticks(x)
ax2.set_xticklabels(months, rotation=45, ha="right")
ax2.legend(loc="upper right", fontsize=10)
ax2.grid(True, alpha=0.3, axis="y")
plt.tight_layout()
output_path = OUTPUT_DIR / "anomaly_detection.png"
plt.savefig(output_path, dpi=150, bbox_inches="tight")
print(f" Saved: {output_path}")
plt.close()
# Save results
results = {
"method": "quantile_intervals",
"description": "Anomaly detection using TimesFM quantile forecasts as prediction intervals",
"thresholds": {
"warning": f"Outside {ANOMALY_THRESHOLD_WARNING * 100:.0f}% CI (q20-q80)",
"critical": f"Outside {ANOMALY_THRESHOLD_CRITICAL * 100:.0f}% CI (q10-q90)",
},
"anomalies": anomalies,
"summary": {
"total_points": len(anomalies),
"critical": sum(1 for a in anomalies if a["severity"] == "CRITICAL"),
"warning": sum(1 for a in anomalies if a["severity"] == "WARNING"),
"normal": sum(1 for a in anomalies if a["severity"] == "NORMAL"),
},
}
results_path = OUTPUT_DIR / "anomaly_detection.json"
with open(results_path, "w") as f:
json.dump(results, f, indent=2)
print(f" Saved: {results_path}")
# Print summary
print("\n" + "=" * 60)
print(" ✅ ANOMALY DETECTION COMPLETE")
print("=" * 60)
print(f"\n📊 Summary:")
print(f" Total test points: {results['summary']['total_points']}")
print(f" Critical anomalies: {results['summary']['critical']} (outside 90% CI)")
print(f" Warnings: {results['summary']['warning']} (outside 80% CI)")
print(f" Normal: {results['summary']['normal']}")
print("\n💡 How It Works:")
print(" 1. TimesFM forecasts with quantile intervals (q10, q20, ..., q90)")
print(" 2. If actual value falls outside 90% CI → CRITICAL anomaly")
print(" 3. If actual value falls outside 80% CI → WARNING")
print(" 4. Otherwise → NORMAL")
print("\n📁 Output Files:")
print(f" {output_path}")
print(f" {results_path}")
if __name__ == "__main__":
main()

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@@ -0,0 +1,160 @@
{
"method": "quantile_intervals",
"description": "Anomaly detection using TimesFM quantile forecasts as prediction intervals",
"thresholds": {
"warning": "Outside 80% CI (q20-q80)",
"critical": "Outside 90% CI (q10-q90)"
},
"anomalies": [
{
"month": "2024-01",
"actual": 1.9520000219345093,
"forecast": 1.1204800605773926,
"lower_80": 0.9561834335327148,
"upper_80": 1.19773530960083,
"lower_90": 1.1319338083267212,
"upper_90": 1.2482070922851562,
"severity": "CRITICAL",
"threshold": "90% CI",
"color": "red"
},
{
"month": "2024-02",
"actual": 1.350000023841858,
"forecast": 1.0831129550933838,
"lower_80": 0.9061079621315002,
"upper_80": 1.1693586111068726,
"lower_90": 1.1058242321014404,
"upper_90": 1.229236364364624,
"severity": "CRITICAL",
"threshold": "90% CI",
"color": "red"
},
{
"month": "2024-03",
"actual": 1.340000033378601,
"forecast": 1.0525826215744019,
"lower_80": 0.8687788844108582,
"upper_80": 1.14640212059021,
"lower_90": 1.0804548263549805,
"upper_90": 1.210077166557312,
"severity": "CRITICAL",
"threshold": "90% CI",
"color": "red"
},
{
"month": "2024-04",
"actual": 1.2599999904632568,
"forecast": 1.0186809301376343,
"lower_80": 0.8394415378570557,
"upper_80": 1.11386239528656,
"lower_90": 1.0469233989715576,
"upper_90": 1.18027925491333,
"severity": "CRITICAL",
"threshold": "90% CI",
"color": "red"
},
{
"month": "2024-05",
"actual": 1.149999976158142,
"forecast": 0.996323823928833,
"lower_80": 0.8218992948532104,
"upper_80": 1.082446813583374,
"lower_90": 1.0246795415878296,
"upper_90": 1.1515717506408691,
"severity": "WARNING",
"threshold": "80% CI",
"color": "orange"
},
{
"month": "2024-06",
"actual": 1.2000000476837158,
"forecast": 0.9761021733283997,
"lower_80": 0.8107370138168335,
"upper_80": 1.0650819540023804,
"lower_90": 1.0055618286132812,
"upper_90": 1.1297614574432373,
"severity": "CRITICAL",
"threshold": "90% CI",
"color": "red"
},
{
"month": "2024-07",
"actual": 1.2400000095367432,
"forecast": 0.966797411441803,
"lower_80": 0.8105956315994263,
"upper_80": 1.05680513381958,
"lower_90": 0.999349057674408,
"upper_90": 1.1205626726150513,
"severity": "CRITICAL",
"threshold": "90% CI",
"color": "red"
},
{
"month": "2024-08",
"actual": 2.0799999237060547,
"forecast": 0.9621630311012268,
"lower_80": 0.8031740784645081,
"upper_80": 1.0481219291687012,
"lower_90": 0.9949856996536255,
"upper_90": 1.1177691221237183,
"severity": "CRITICAL",
"threshold": "90% CI",
"color": "red"
},
{
"month": "2024-09",
"actual": 0.7680000066757202,
"forecast": 0.950423002243042,
"lower_80": 0.8004634380340576,
"upper_80": 1.0429224967956543,
"lower_90": 0.9896860718727112,
"upper_90": 1.112573504447937,
"severity": "CRITICAL",
"threshold": "90% CI",
"color": "red"
},
{
"month": "2024-10",
"actual": 1.2699999809265137,
"forecast": 0.9326475262641907,
"lower_80": 0.7854968309402466,
"upper_80": 1.024938702583313,
"lower_90": 0.9742559194564819,
"upper_90": 1.0930581092834473,
"severity": "CRITICAL",
"threshold": "90% CI",
"color": "red"
},
{
"month": "2024-11",
"actual": 1.2200000286102295,
"forecast": 0.9303779602050781,
"lower_80": 0.7851479053497314,
"upper_80": 1.0191327333450317,
"lower_90": 0.9675081968307495,
"upper_90": 1.084266185760498,
"severity": "CRITICAL",
"threshold": "90% CI",
"color": "red"
},
{
"month": "2024-12",
"actual": 1.2000000476837158,
"forecast": 0.9362010955810547,
"lower_80": 0.7882705330848694,
"upper_80": 1.028489589691162,
"lower_90": 0.9734180569648743,
"upper_90": 1.0912758111953735,
"severity": "CRITICAL",
"threshold": "90% CI",
"color": "red"
}
],
"summary": {
"total_points": 12,
"critical": 11,
"warning": 1,
"normal": 0
}
}

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#!/usr/bin/env python3
"""
TimesFM Covariates (XReg) Example
This example demonstrates TimesFM's exogenous variable support through the
forecast_with_covariates() API. This requires `timesfm[xreg]` installation.
Covariate Types Supported:
- Dynamic Numerical: Time-varying numeric features (e.g., price, temperature)
- Dynamic Categorical: Time-varying categorical features (e.g., holiday, day_of_week)
- Static Numerical: Per-series numeric features (e.g., store_size)
- Static Categorical: Per-series categorical features (e.g., store_type, region)
Note: TimesFM 1.0 (used here) does NOT support forecast_with_covariates().
This example uses TimesFM 2.5 which requires a different API. We'll demonstrate
the concept with synthetic data and show the API signature.
"""
from __future__ import annotations
import json
from pathlib import Path
import matplotlib.pyplot as plt
import numpy as np
import pandas as pd
# Note: TimesFM 1.0 does not support forecast_with_covariates
# This example demonstrates the API with TimesFM 2.5
# Installation: pip install timesfm[xreg]
EXAMPLE_DIR = Path(__file__).parent
OUTPUT_DIR = EXAMPLE_DIR / "output"
# Synthetic data configuration
N_STORES = 3
CONTEXT_LEN = 48 # 48 weeks of history
HORIZON_LEN = 12 # 12 weeks forecast
TOTAL_LEN = CONTEXT_LEN + HORIZON_LEN
def generate_sales_data() -> dict:
"""Generate synthetic retail sales data with covariates."""
rng = np.random.default_rng(42)
# Store configurations
stores = {
"store_A": {"type": "premium", "region": "urban", "base_sales": 1000},
"store_B": {"type": "standard", "region": "suburban", "base_sales": 750},
"store_C": {"type": "discount", "region": "rural", "base_sales": 500},
}
data = {"stores": {}, "covariates": {}}
for store_id, config in stores.items():
# Base sales with trend
weeks = np.arange(TOTAL_LEN)
trend = config["base_sales"] * (1 + 0.005 * weeks)
# Seasonality (yearly pattern)
seasonality = 100 * np.sin(2 * np.pi * weeks / 52)
# Noise
noise = rng.normal(0, 50, TOTAL_LEN)
# Price (affects sales negatively)
price = 10 + rng.uniform(-1, 1, TOTAL_LEN)
price_effect = -20 * (price - 10)
# Holidays (boost sales)
holidays = np.zeros(TOTAL_LEN)
holiday_weeks = [0, 11, 23, 35, 47, 51] # Major holidays
for hw in holiday_weeks:
if hw < TOTAL_LEN:
holidays[hw] = 1
holiday_effect = 200 * holidays
# Promotion (boost sales)
promotion = rng.choice([0, 1], TOTAL_LEN, p=[0.8, 0.2])
promo_effect = 150 * promotion
# Final sales
sales = (
trend + seasonality + noise + price_effect + holiday_effect + promo_effect
)
sales = np.maximum(sales, 50) # Ensure positive
# Day of week effect (0=Mon, 6=Sun) - simplified to weekly
day_of_week = np.tile(np.arange(7), TOTAL_LEN // 7 + 1)[:TOTAL_LEN]
data["stores"][store_id] = {
"sales": sales.astype(np.float32),
"config": config,
}
# Covariates (same structure for all stores, different values)
if store_id == "store_A":
data["covariates"] = {
"price": {store_id: price.astype(np.float32) for store_id in stores},
"promotion": {
store_id: promotion.astype(np.float32) for store_id in stores
},
"holiday": {
store_id: holidays.astype(np.float32) for store_id in stores
},
"day_of_week": {
store_id: day_of_week.astype(np.int32) for store_id in stores
},
"store_type": {store_id: config["type"] for store_id in stores},
"region": {store_id: config["region"] for store_id in stores},
}
return data
def demonstrate_api() -> None:
"""Show the forecast_with_covariates API structure."""
print("\n" + "=" * 70)
print(" TIMESFM COVARIATES API (TimesFM 2.5)")
print("=" * 70)
api_code = """
# Installation
pip install timesfm[xreg]
# Import
import timesfm
# Load TimesFM 2.5 (supports covariates)
hparams = timesfm.TimesFmHparams(
backend="cpu", # or "gpu"
per_core_batch_size=32,
horizon_len=12,
)
checkpoint = timesfm.TimesFmCheckpoint(
huggingface_repo_id="google/timesfm-2.5-200m-pytorch"
)
model = timesfm.TimesFm(hparams=hparams, checkpoint=checkpoint)
# Prepare inputs
inputs = [sales_store_a, sales_store_b, sales_store_c] # List of historical sales
# Dynamic numerical covariates (context + horizon values per series)
dynamic_numerical_covariates = {
"price": [
price_history_store_a, # Shape: (context_len + horizon_len,)
price_history_store_b,
price_history_store_c,
],
"promotion": [promo_a, promo_b, promo_c],
}
# Dynamic categorical covariates
dynamic_categorical_covariates = {
"holiday": [holiday_a, holiday_b, holiday_c], # 0 or 1 flags
"day_of_week": [dow_a, dow_b, dow_c], # 0-6 integer values
}
# Static categorical covariates (one value per series)
static_categorical_covariates = {
"store_type": ["premium", "standard", "discount"],
"region": ["urban", "suburban", "rural"],
}
# Forecast with covariates
point_forecast, quantile_forecast = model.forecast_with_covariates(
inputs=inputs,
dynamic_numerical_covariates=dynamic_numerical_covariates,
dynamic_categorical_covariates=dynamic_categorical_covariates,
static_categorical_covariates=static_categorical_covariates,
xreg_mode="xreg + timesfm", # or "timesfm + xreg"
ridge=0.0, # Ridge regularization
normalize_xreg_target_per_input=True,
)
# Output shapes
# point_forecast: (num_series, horizon_len)
# quantile_forecast: (num_series, horizon_len, 10)
"""
print(api_code)
def explain_xreg_modes() -> None:
"""Explain the two XReg modes."""
print("\n" + "=" * 70)
print(" XREG MODES EXPLAINED")
print("=" * 70)
print("""
┌─────────────────────────────────────────────────────────────────────┐
│ Mode 1: "xreg + timesfm" (DEFAULT) │
├─────────────────────────────────────────────────────────────────────┤
│ 1. TimesFM makes baseline forecast (ignoring covariates) │
│ 2. Calculate residuals: actual - baseline │
│ 3. Fit linear regression: residuals ~ covariates │
│ 4. Final forecast = TimesFM baseline + XReg adjustment │
│ │
│ Best for: Covariates capture residual patterns │
│ (e.g., promotions affecting baseline sales) │
└─────────────────────────────────────────────────────────────────────┘
┌─────────────────────────────────────────────────────────────────────┐
│ Mode 2: "timesfm + xreg"
├─────────────────────────────────────────────────────────────────────┤
│ 1. Fit linear regression: target ~ covariates │
│ 2. Calculate residuals: actual - regression_prediction │
│ 3. TimesFM forecasts residuals │
│ 4. Final forecast = XReg prediction + TimesFM residual forecast │
│ │
│ Best for: Covariates explain main signal │
│ (e.g., temperature driving ice cream sales) │
└─────────────────────────────────────────────────────────────────────┘
""")
def create_visualization(data: dict) -> None:
"""Create visualization of sales data with covariates."""
OUTPUT_DIR.mkdir(exist_ok=True)
fig, axes = plt.subplots(3, 2, figsize=(16, 12))
weeks = np.arange(TOTAL_LEN)
context_weeks = weeks[:CONTEXT_LEN]
horizon_weeks = weeks[CONTEXT_LEN:]
# Plot 1: Sales by store
ax = axes[0, 0]
for store_id, store_data in data["stores"].items():
ax.plot(
context_weeks,
store_data["sales"][:CONTEXT_LEN],
label=f"{store_id} ({store_data['config']['type']})",
linewidth=2,
)
ax.axvline(x=CONTEXT_LEN, color="red", linestyle="--", label="Forecast Start")
ax.set_xlabel("Week")
ax.set_ylabel("Sales")
ax.set_title("Historical Sales by Store")
ax.legend()
ax.grid(True, alpha=0.3)
# Plot 2: Price covariate
ax = axes[0, 1]
for store_id in data["stores"]:
ax.plot(weeks, data["covariates"]["price"][store_id], label=store_id, alpha=0.7)
ax.axvline(x=CONTEXT_LEN, color="red", linestyle="--")
ax.set_xlabel("Week")
ax.set_ylabel("Price ($)")
ax.set_title("Dynamic Numerical Covariate: Price")
ax.legend()
ax.grid(True, alpha=0.3)
# Plot 3: Holiday covariate
ax = axes[1, 0]
holidays = data["covariates"]["holiday"]["store_A"]
ax.bar(weeks, holidays, alpha=0.7, color="orange")
ax.axvline(x=CONTEXT_LEN, color="red", linestyle="--")
ax.set_xlabel("Week")
ax.set_ylabel("Holiday Flag")
ax.set_title("Dynamic Categorical Covariate: Holiday")
ax.grid(True, alpha=0.3)
# Plot 4: Promotion covariate
ax = axes[1, 1]
promotions = data["covariates"]["promotion"]["store_A"]
ax.bar(weeks, promotions, alpha=0.7, color="green")
ax.axvline(x=CONTEXT_LEN, color="red", linestyle="--")
ax.set_xlabel("Week")
ax.set_ylabel("Promotion Flag")
ax.set_title("Dynamic Categorical Covariate: Promotion")
ax.grid(True, alpha=0.3)
# Plot 5: Store type (static)
ax = axes[2, 0]
store_types = [data["covariates"]["store_type"][s] for s in data["stores"]]
store_ids = list(data["stores"].keys())
colors = {"premium": "gold", "standard": "silver", "discount": "brown"}
ax.bar(store_ids, [1, 1, 1], color=[colors[t] for t in store_types])
ax.set_ylabel("Store Type")
ax.set_title("Static Categorical Covariate: Store Type")
ax.set_yticks([])
for i, (sid, t) in enumerate(zip(store_ids, store_types)):
ax.text(i, 0.5, t, ha="center", va="center", fontweight="bold")
# Plot 6: Data structure summary
ax = axes[2, 1]
ax.axis("off")
summary_text = """
COVARIATE DATA STRUCTURE
─────────────────────────
Dynamic Numerical Covariates:
• price: np.ndarray[context_len + horizon_len] per series
• promotion: np.ndarray[context_len + horizon_len] per series
Dynamic Categorical Covariates:
• holiday: np.ndarray[context_len + horizon_len] per series
• day_of_week: np.ndarray[context_len + horizon_len] per series
Static Categorical Covariates:
• store_type: ["premium", "standard", "discount"]
• region: ["urban", "suburban", "rural"]
Note: Future covariate values must be known!
(Price, promotion schedule, holidays are planned in advance)
"""
ax.text(
0.1,
0.5,
summary_text,
transform=ax.transAxes,
fontfamily="monospace",
fontsize=10,
verticalalignment="center",
)
plt.tight_layout()
output_path = OUTPUT_DIR / "covariates_data.png"
plt.savefig(output_path, dpi=150, bbox_inches="tight")
print(f"\n📊 Saved visualization: {output_path}")
plt.close()
def main() -> None:
print("=" * 70)
print(" TIMESFM COVARIATES (XREG) EXAMPLE")
print("=" * 70)
# Generate synthetic data
print("\n📊 Generating synthetic retail sales data...")
data = generate_sales_data()
print(f" Stores: {list(data['stores'].keys())}")
print(f" Context length: {CONTEXT_LEN} weeks")
print(f" Horizon length: {HORIZON_LEN} weeks")
print(f" Covariates: {list(data['covariates'].keys())}")
# Show API
demonstrate_api()
# Explain modes
explain_xreg_modes()
# Create visualization
print("\n📊 Creating data visualization...")
create_visualization(data)
# Save data
print("\n💾 Saving synthetic data...")
# Convert to DataFrame for CSV export
records = []
for store_id, store_data in data["stores"].items():
for i, week in enumerate(range(TOTAL_LEN)):
records.append(
{
"store_id": store_id,
"week": week,
"sales": store_data["sales"][i],
"price": data["covariates"]["price"][store_id][i],
"promotion": data["covariates"]["promotion"][store_id][i],
"holiday": int(data["covariates"]["holiday"][store_id][i]),
"day_of_week": int(data["covariates"]["day_of_week"][store_id][i]),
"store_type": data["covariates"]["store_type"][store_id],
"region": data["covariates"]["region"][store_id],
}
)
df = pd.DataFrame(records)
csv_path = OUTPUT_DIR / "sales_with_covariates.csv"
df.to_csv(csv_path, index=False)
print(f" Saved: {csv_path}")
# Save metadata
metadata = {
"description": "Synthetic retail sales data with covariates for TimesFM XReg demo",
"stores": {sid: sdata["config"] for sid, sdata in data["stores"].items()},
"dimensions": {
"context_length": CONTEXT_LEN,
"horizon_length": HORIZON_LEN,
"total_length": TOTAL_LEN,
},
"covariates": {
"dynamic_numerical": ["price", "promotion"],
"dynamic_categorical": ["holiday", "day_of_week"],
"static_categorical": ["store_type", "region"],
},
"xreg_modes": {
"xreg + timesfm": "Fit regression on residuals after TimesFM forecast",
"timesfm + xreg": "TimesFM forecasts residuals after regression fit",
},
}
meta_path = OUTPUT_DIR / "covariates_metadata.json"
with open(meta_path, "w") as f:
json.dump(metadata, f, indent=2)
print(f" Saved: {meta_path}")
# Summary
print("\n" + "=" * 70)
print(" ✅ COVARIATES EXAMPLE COMPLETE")
print("=" * 70)
print("""
💡 Key Points:
1. INSTALLATION: Requires timesfm[xreg] extra
pip install timesfm[xreg]
2. COVARIATE TYPES:
• Dynamic: Changes over time (price, promotion, holiday)
• Static: Fixed per series (store type, region)
3. DATA REQUIREMENTS:
• Dynamic covariates need values for context + horizon
• Future values must be known (e.g., planned prices, scheduled holidays)
4. XREG MODES:
"xreg + timesfm" (default): Regression on residuals
"timesfm + xreg": TimesFM on residuals after regression
5. LIMITATIONS:
• String categorical values work but slower (use int encoding)
• Requires TimesFM 2.5+ (v1.0 does not support XReg)
📁 Output Files:
• output/covariates_data.png - Data visualization
• output/sales_with_covariates.csv - Sample data
• output/covariates_metadata.json - Metadata
""")
if __name__ == "__main__":
main()

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{
"description": "Synthetic retail sales data with covariates for TimesFM XReg demo",
"stores": {
"store_A": {
"type": "premium",
"region": "urban",
"base_sales": 1000
},
"store_B": {
"type": "standard",
"region": "suburban",
"base_sales": 750
},
"store_C": {
"type": "discount",
"region": "rural",
"base_sales": 500
}
},
"dimensions": {
"context_length": 48,
"horizon_length": 12,
"total_length": 60
},
"covariates": {
"dynamic_numerical": [
"price",
"promotion"
],
"dynamic_categorical": [
"holiday",
"day_of_week"
],
"static_categorical": [
"store_type",
"region"
]
},
"xreg_modes": {
"xreg + timesfm": "Fit regression on residuals after TimesFM forecast",
"timesfm + xreg": "TimesFM forecasts residuals after regression fit"
}
}

View File

@@ -0,0 +1,181 @@
store_id,week,sales,price,promotion,holiday,day_of_week,store_type,region
store_A,0,1212.6265,10.130472,0.0,1,0,premium,urban
store_A,1,954.4545,10.529998,0.0,0,1,premium,urban
store_A,2,1066.0654,10.269437,0.0,0,2,premium,urban
store_A,3,1095.3456,10.107159,0.0,0,3,premium,urban
store_A,4,966.55225,10.118414,0.0,0,4,premium,urban
store_A,5,1024.5396,9.607901,0.0,0,5,premium,urban
store_A,6,1121.4716,9.061636,0.0,0,6,premium,urban
store_A,7,1096.5702,9.873435,0.0,0,0,premium,urban
store_A,8,1132.875,9.42917,0.0,0,1,premium,urban
store_A,9,1244.5522,9.817058,1.0,0,2,premium,urban
store_A,10,1173.3354,10.706806,0.0,0,3,premium,urban
store_A,11,1401.6262,9.467879,0.0,1,4,premium,urban
store_A,12,1180.2404,9.116606,0.0,0,5,premium,urban
store_A,13,1230.1067,9.562768,0.0,0,6,premium,urban
store_A,14,1350.9026,9.587188,1.0,0,0,premium,urban
store_A,15,1122.653,10.323833,0.0,0,1,premium,urban
store_A,16,1189.6578,10.114064,0.0,0,2,premium,urban
store_A,17,1114.2455,10.567797,0.0,0,3,premium,urban
store_A,18,1209.6483,10.328627,0.0,0,4,premium,urban
store_A,19,1171.0994,9.812774,0.0,0,5,premium,urban
store_A,20,1294.5083,10.62804,1.0,0,6,premium,urban
store_A,21,1141.081,9.333946,0.0,0,0,premium,urban
store_A,22,1236.6909,9.045424,0.0,0,1,premium,urban
store_A,23,1359.1321,9.180096,0.0,1,2,premium,urban
store_A,24,1113.6208,10.444718,0.0,0,3,premium,urban
store_A,25,1120.9719,9.923755,0.0,0,4,premium,urban
store_A,26,1170.1646,9.322543,0.0,0,5,premium,urban
store_A,27,1141.1768,10.0020895,0.0,0,6,premium,urban
store_A,28,1300.6125,9.304625,1.0,0,0,premium,urban
store_A,29,1273.2278,10.392641,1.0,0,1,premium,urban
store_A,30,1212.7638,9.892313,0.0,0,2,premium,urban
store_A,31,1082.632,9.762042,0.0,0,3,premium,urban
store_A,32,1076.0151,9.6030245,0.0,0,4,premium,urban
store_A,33,1044.249,10.260565,0.0,0,5,premium,urban
store_A,34,1124.0281,9.723625,0.0,0,6,premium,urban
store_A,35,1359.397,9.1753,0.0,1,0,premium,urban
store_A,36,1096.0808,9.2360115,0.0,0,1,premium,urban
store_A,37,1027.4221,10.923796,0.0,0,2,premium,urban
store_A,38,1033.1619,10.817162,0.0,0,3,premium,urban
store_A,39,1269.5414,10.399414,1.0,0,4,premium,urban
store_A,40,1147.2571,9.53174,0.0,0,5,premium,urban
store_A,41,1116.2965,10.938353,0.0,0,6,premium,urban
store_A,42,1072.0729,10.557502,0.0,0,0,premium,urban
store_A,43,1129.3868,10.433781,0.0,0,1,premium,urban
store_A,44,1295.5614,9.898723,1.0,0,2,premium,urban
store_A,45,1320.1937,9.544483,1.0,0,3,premium,urban
store_A,46,1223.4036,9.192781,0.0,0,4,premium,urban
store_A,47,1523.2692,10.805204,1.0,1,5,premium,urban
store_A,48,1229.2423,9.911552,0.0,0,6,premium,urban
store_A,49,1224.824,9.404727,0.0,0,0,premium,urban
store_A,50,1248.2861,9.611914,0.0,0,1,premium,urban
store_A,51,1621.3419,10.158439,1.0,1,2,premium,urban
store_A,52,1200.0713,9.353545,0.0,0,3,premium,urban
store_A,53,1246.8055,10.713228,0.0,0,4,premium,urban
store_A,54,1260.0721,10.517039,0.0,0,5,premium,urban
store_A,55,1419.738,10.438926,1.0,0,6,premium,urban
store_A,56,1465.4315,9.864186,1.0,0,0,premium,urban
store_A,57,1411.4612,10.254618,0.0,0,1,premium,urban
store_A,58,1459.6567,10.168196,1.0,0,2,premium,urban
store_A,59,1562.2711,10.299693,1.0,0,3,premium,urban
store_B,0,949.5817,10.130472,0.0,1,0,premium,urban
store_B,1,826.9795,10.529998,0.0,0,1,premium,urban
store_B,2,795.8978,10.269437,0.0,0,2,premium,urban
store_B,3,781.1968,10.107159,0.0,0,3,premium,urban
store_B,4,869.75146,10.118414,0.0,0,4,premium,urban
store_B,5,840.91705,9.607901,0.0,0,5,premium,urban
store_B,6,900.90045,9.061636,0.0,0,6,premium,urban
store_B,7,862.10693,9.873435,0.0,0,0,premium,urban
store_B,8,811.1614,9.42917,0.0,0,1,premium,urban
store_B,9,814.42114,9.817058,1.0,0,2,premium,urban
store_B,10,953.70746,10.706806,0.0,0,3,premium,urban
store_B,11,1161.8647,9.467879,0.0,1,4,premium,urban
store_B,12,901.0838,9.116606,0.0,0,5,premium,urban
store_B,13,896.9283,9.562768,0.0,0,6,premium,urban
store_B,14,1121.0658,9.587188,1.0,0,0,premium,urban
store_B,15,1012.14496,10.323833,0.0,0,1,premium,urban
store_B,16,845.7787,10.114064,0.0,0,2,premium,urban
store_B,17,942.0486,10.567797,0.0,0,3,premium,urban
store_B,18,894.31323,10.328627,0.0,0,4,premium,urban
store_B,19,1029.0061,9.812774,0.0,0,5,premium,urban
store_B,20,896.51886,10.62804,1.0,0,6,premium,urban
store_B,21,1061.0464,9.333946,0.0,0,0,premium,urban
store_B,22,963.2019,9.045424,0.0,0,1,premium,urban
store_B,23,1091.6201,9.180096,0.0,1,2,premium,urban
store_B,24,915.2826,10.444718,0.0,0,3,premium,urban
store_B,25,771.0792,9.923755,0.0,0,4,premium,urban
store_B,26,858.0784,9.322543,0.0,0,5,premium,urban
store_B,27,814.89954,10.0020895,0.0,0,6,premium,urban
store_B,28,916.48206,9.304625,1.0,0,0,premium,urban
store_B,29,772.1533,10.392641,1.0,0,1,premium,urban
store_B,30,803.5763,9.892313,0.0,0,2,premium,urban
store_B,31,862.519,9.762042,0.0,0,3,premium,urban
store_B,32,737.1871,9.6030245,0.0,0,4,premium,urban
store_B,33,785.4303,10.260565,0.0,0,5,premium,urban
store_B,34,906.9479,9.723625,0.0,0,6,premium,urban
store_B,35,994.5817,9.1753,0.0,1,0,premium,urban
store_B,36,1004.37634,9.2360115,0.0,0,1,premium,urban
store_B,37,979.0918,10.923796,0.0,0,2,premium,urban
store_B,38,870.12354,10.817162,0.0,0,3,premium,urban
store_B,39,785.6754,10.399414,1.0,0,4,premium,urban
store_B,40,769.2815,9.53174,0.0,0,5,premium,urban
store_B,41,963.49274,10.938353,0.0,0,6,premium,urban
store_B,42,831.17865,10.557502,0.0,0,0,premium,urban
store_B,43,830.58295,10.433781,0.0,0,1,premium,urban
store_B,44,794.41534,9.898723,1.0,0,2,premium,urban
store_B,45,835.0851,9.544483,1.0,0,3,premium,urban
store_B,46,885.5207,9.192781,0.0,0,4,premium,urban
store_B,47,1178.3236,10.805204,1.0,1,5,premium,urban
store_B,48,993.4054,9.911552,0.0,0,6,premium,urban
store_B,49,841.88434,9.404727,0.0,0,0,premium,urban
store_B,50,883.09314,9.611914,0.0,0,1,premium,urban
store_B,51,1036.8414,10.158439,1.0,1,2,premium,urban
store_B,52,903.3836,9.353545,0.0,0,3,premium,urban
store_B,53,965.40485,10.713228,0.0,0,4,premium,urban
store_B,54,1031.0249,10.517039,0.0,0,5,premium,urban
store_B,55,1094.0964,10.438926,1.0,0,6,premium,urban
store_B,56,988.38293,9.864186,1.0,0,0,premium,urban
store_B,57,911.7493,10.254618,0.0,0,1,premium,urban
store_B,58,1025.1101,10.168196,1.0,0,2,premium,urban
store_B,59,978.6775,10.299693,1.0,0,3,premium,urban
store_C,0,728.35284,10.130472,0.0,1,0,premium,urban
store_C,1,503.7172,10.529998,0.0,0,1,premium,urban
store_C,2,557.5812,10.269437,0.0,0,2,premium,urban
store_C,3,579.2723,10.107159,0.0,0,3,premium,urban
store_C,4,557.2319,10.118414,0.0,0,4,premium,urban
store_C,5,573.1017,9.607901,0.0,0,5,premium,urban
store_C,6,581.31024,9.061636,0.0,0,6,premium,urban
store_C,7,567.57776,9.873435,0.0,0,0,premium,urban
store_C,8,606.85065,9.42917,0.0,0,1,premium,urban
store_C,9,618.42255,9.817058,1.0,0,2,premium,urban
store_C,10,637.49005,10.706806,0.0,0,3,premium,urban
store_C,11,864.7779,9.467879,0.0,1,4,premium,urban
store_C,12,571.1436,9.116606,0.0,0,5,premium,urban
store_C,13,612.2043,9.562768,0.0,0,6,premium,urban
store_C,14,872.13513,9.587188,1.0,0,0,premium,urban
store_C,15,738.0299,10.323833,0.0,0,1,premium,urban
store_C,16,604.6675,10.114064,0.0,0,2,premium,urban
store_C,17,650.33057,10.567797,0.0,0,3,premium,urban
store_C,18,661.12146,10.328627,0.0,0,4,premium,urban
store_C,19,603.7142,9.812774,0.0,0,5,premium,urban
store_C,20,828.2985,10.62804,1.0,0,6,premium,urban
store_C,21,669.9662,9.333946,0.0,0,0,premium,urban
store_C,22,638.91095,9.045424,0.0,0,1,premium,urban
store_C,23,838.9723,9.180096,0.0,1,2,premium,urban
store_C,24,834.94836,10.444718,0.0,0,3,premium,urban
store_C,25,555.9125,9.923755,0.0,0,4,premium,urban
store_C,26,477.89877,9.322543,0.0,0,5,premium,urban
store_C,27,651.99023,10.0020895,0.0,0,6,premium,urban
store_C,28,535.84216,9.304625,1.0,0,0,premium,urban
store_C,29,523.2324,10.392641,1.0,0,1,premium,urban
store_C,30,595.6628,9.892313,0.0,0,2,premium,urban
store_C,31,429.21732,9.762042,0.0,0,3,premium,urban
store_C,32,595.64905,9.6030245,0.0,0,4,premium,urban
store_C,33,574.6885,10.260565,0.0,0,5,premium,urban
store_C,34,477.18958,9.723625,0.0,0,6,premium,urban
store_C,35,703.0953,9.1753,0.0,1,0,premium,urban
store_C,36,530.65405,9.2360115,0.0,0,1,premium,urban
store_C,37,506.09885,10.923796,0.0,0,2,premium,urban
store_C,38,417.0998,10.817162,0.0,0,3,premium,urban
store_C,39,526.0255,10.399414,1.0,0,4,premium,urban
store_C,40,635.823,9.53174,0.0,0,5,premium,urban
store_C,41,495.87946,10.938353,0.0,0,6,premium,urban
store_C,42,534.13354,10.557502,0.0,0,0,premium,urban
store_C,43,557.8907,10.433781,0.0,0,1,premium,urban
store_C,44,535.6469,9.898723,1.0,0,2,premium,urban
store_C,45,590.8869,9.544483,1.0,0,3,premium,urban
store_C,46,574.78455,9.192781,0.0,0,4,premium,urban
store_C,47,796.0737,10.805204,1.0,1,5,premium,urban
store_C,48,546.10583,9.911552,0.0,0,6,premium,urban
store_C,49,580.9428,9.404727,0.0,0,0,premium,urban
store_C,50,606.4677,9.611914,0.0,0,1,premium,urban
store_C,51,851.0876,10.158439,1.0,1,2,premium,urban
store_C,52,763.8405,9.353545,0.0,0,3,premium,urban
store_C,53,824.2607,10.713228,0.0,0,4,premium,urban
store_C,54,656.9345,10.517039,0.0,0,5,premium,urban
store_C,55,813.55115,10.438926,1.0,0,6,premium,urban
store_C,56,885.26666,9.864186,1.0,0,0,premium,urban
store_C,57,618.21106,10.254618,0.0,0,1,premium,urban
store_C,58,649.7526,10.168196,1.0,0,2,premium,urban
store_C,59,649.2765,10.299693,1.0,0,3,premium,urban
1 store_id week sales price promotion holiday day_of_week store_type region
2 store_A 0 1212.6265 10.130472 0.0 1 0 premium urban
3 store_A 1 954.4545 10.529998 0.0 0 1 premium urban
4 store_A 2 1066.0654 10.269437 0.0 0 2 premium urban
5 store_A 3 1095.3456 10.107159 0.0 0 3 premium urban
6 store_A 4 966.55225 10.118414 0.0 0 4 premium urban
7 store_A 5 1024.5396 9.607901 0.0 0 5 premium urban
8 store_A 6 1121.4716 9.061636 0.0 0 6 premium urban
9 store_A 7 1096.5702 9.873435 0.0 0 0 premium urban
10 store_A 8 1132.875 9.42917 0.0 0 1 premium urban
11 store_A 9 1244.5522 9.817058 1.0 0 2 premium urban
12 store_A 10 1173.3354 10.706806 0.0 0 3 premium urban
13 store_A 11 1401.6262 9.467879 0.0 1 4 premium urban
14 store_A 12 1180.2404 9.116606 0.0 0 5 premium urban
15 store_A 13 1230.1067 9.562768 0.0 0 6 premium urban
16 store_A 14 1350.9026 9.587188 1.0 0 0 premium urban
17 store_A 15 1122.653 10.323833 0.0 0 1 premium urban
18 store_A 16 1189.6578 10.114064 0.0 0 2 premium urban
19 store_A 17 1114.2455 10.567797 0.0 0 3 premium urban
20 store_A 18 1209.6483 10.328627 0.0 0 4 premium urban
21 store_A 19 1171.0994 9.812774 0.0 0 5 premium urban
22 store_A 20 1294.5083 10.62804 1.0 0 6 premium urban
23 store_A 21 1141.081 9.333946 0.0 0 0 premium urban
24 store_A 22 1236.6909 9.045424 0.0 0 1 premium urban
25 store_A 23 1359.1321 9.180096 0.0 1 2 premium urban
26 store_A 24 1113.6208 10.444718 0.0 0 3 premium urban
27 store_A 25 1120.9719 9.923755 0.0 0 4 premium urban
28 store_A 26 1170.1646 9.322543 0.0 0 5 premium urban
29 store_A 27 1141.1768 10.0020895 0.0 0 6 premium urban
30 store_A 28 1300.6125 9.304625 1.0 0 0 premium urban
31 store_A 29 1273.2278 10.392641 1.0 0 1 premium urban
32 store_A 30 1212.7638 9.892313 0.0 0 2 premium urban
33 store_A 31 1082.632 9.762042 0.0 0 3 premium urban
34 store_A 32 1076.0151 9.6030245 0.0 0 4 premium urban
35 store_A 33 1044.249 10.260565 0.0 0 5 premium urban
36 store_A 34 1124.0281 9.723625 0.0 0 6 premium urban
37 store_A 35 1359.397 9.1753 0.0 1 0 premium urban
38 store_A 36 1096.0808 9.2360115 0.0 0 1 premium urban
39 store_A 37 1027.4221 10.923796 0.0 0 2 premium urban
40 store_A 38 1033.1619 10.817162 0.0 0 3 premium urban
41 store_A 39 1269.5414 10.399414 1.0 0 4 premium urban
42 store_A 40 1147.2571 9.53174 0.0 0 5 premium urban
43 store_A 41 1116.2965 10.938353 0.0 0 6 premium urban
44 store_A 42 1072.0729 10.557502 0.0 0 0 premium urban
45 store_A 43 1129.3868 10.433781 0.0 0 1 premium urban
46 store_A 44 1295.5614 9.898723 1.0 0 2 premium urban
47 store_A 45 1320.1937 9.544483 1.0 0 3 premium urban
48 store_A 46 1223.4036 9.192781 0.0 0 4 premium urban
49 store_A 47 1523.2692 10.805204 1.0 1 5 premium urban
50 store_A 48 1229.2423 9.911552 0.0 0 6 premium urban
51 store_A 49 1224.824 9.404727 0.0 0 0 premium urban
52 store_A 50 1248.2861 9.611914 0.0 0 1 premium urban
53 store_A 51 1621.3419 10.158439 1.0 1 2 premium urban
54 store_A 52 1200.0713 9.353545 0.0 0 3 premium urban
55 store_A 53 1246.8055 10.713228 0.0 0 4 premium urban
56 store_A 54 1260.0721 10.517039 0.0 0 5 premium urban
57 store_A 55 1419.738 10.438926 1.0 0 6 premium urban
58 store_A 56 1465.4315 9.864186 1.0 0 0 premium urban
59 store_A 57 1411.4612 10.254618 0.0 0 1 premium urban
60 store_A 58 1459.6567 10.168196 1.0 0 2 premium urban
61 store_A 59 1562.2711 10.299693 1.0 0 3 premium urban
62 store_B 0 949.5817 10.130472 0.0 1 0 premium urban
63 store_B 1 826.9795 10.529998 0.0 0 1 premium urban
64 store_B 2 795.8978 10.269437 0.0 0 2 premium urban
65 store_B 3 781.1968 10.107159 0.0 0 3 premium urban
66 store_B 4 869.75146 10.118414 0.0 0 4 premium urban
67 store_B 5 840.91705 9.607901 0.0 0 5 premium urban
68 store_B 6 900.90045 9.061636 0.0 0 6 premium urban
69 store_B 7 862.10693 9.873435 0.0 0 0 premium urban
70 store_B 8 811.1614 9.42917 0.0 0 1 premium urban
71 store_B 9 814.42114 9.817058 1.0 0 2 premium urban
72 store_B 10 953.70746 10.706806 0.0 0 3 premium urban
73 store_B 11 1161.8647 9.467879 0.0 1 4 premium urban
74 store_B 12 901.0838 9.116606 0.0 0 5 premium urban
75 store_B 13 896.9283 9.562768 0.0 0 6 premium urban
76 store_B 14 1121.0658 9.587188 1.0 0 0 premium urban
77 store_B 15 1012.14496 10.323833 0.0 0 1 premium urban
78 store_B 16 845.7787 10.114064 0.0 0 2 premium urban
79 store_B 17 942.0486 10.567797 0.0 0 3 premium urban
80 store_B 18 894.31323 10.328627 0.0 0 4 premium urban
81 store_B 19 1029.0061 9.812774 0.0 0 5 premium urban
82 store_B 20 896.51886 10.62804 1.0 0 6 premium urban
83 store_B 21 1061.0464 9.333946 0.0 0 0 premium urban
84 store_B 22 963.2019 9.045424 0.0 0 1 premium urban
85 store_B 23 1091.6201 9.180096 0.0 1 2 premium urban
86 store_B 24 915.2826 10.444718 0.0 0 3 premium urban
87 store_B 25 771.0792 9.923755 0.0 0 4 premium urban
88 store_B 26 858.0784 9.322543 0.0 0 5 premium urban
89 store_B 27 814.89954 10.0020895 0.0 0 6 premium urban
90 store_B 28 916.48206 9.304625 1.0 0 0 premium urban
91 store_B 29 772.1533 10.392641 1.0 0 1 premium urban
92 store_B 30 803.5763 9.892313 0.0 0 2 premium urban
93 store_B 31 862.519 9.762042 0.0 0 3 premium urban
94 store_B 32 737.1871 9.6030245 0.0 0 4 premium urban
95 store_B 33 785.4303 10.260565 0.0 0 5 premium urban
96 store_B 34 906.9479 9.723625 0.0 0 6 premium urban
97 store_B 35 994.5817 9.1753 0.0 1 0 premium urban
98 store_B 36 1004.37634 9.2360115 0.0 0 1 premium urban
99 store_B 37 979.0918 10.923796 0.0 0 2 premium urban
100 store_B 38 870.12354 10.817162 0.0 0 3 premium urban
101 store_B 39 785.6754 10.399414 1.0 0 4 premium urban
102 store_B 40 769.2815 9.53174 0.0 0 5 premium urban
103 store_B 41 963.49274 10.938353 0.0 0 6 premium urban
104 store_B 42 831.17865 10.557502 0.0 0 0 premium urban
105 store_B 43 830.58295 10.433781 0.0 0 1 premium urban
106 store_B 44 794.41534 9.898723 1.0 0 2 premium urban
107 store_B 45 835.0851 9.544483 1.0 0 3 premium urban
108 store_B 46 885.5207 9.192781 0.0 0 4 premium urban
109 store_B 47 1178.3236 10.805204 1.0 1 5 premium urban
110 store_B 48 993.4054 9.911552 0.0 0 6 premium urban
111 store_B 49 841.88434 9.404727 0.0 0 0 premium urban
112 store_B 50 883.09314 9.611914 0.0 0 1 premium urban
113 store_B 51 1036.8414 10.158439 1.0 1 2 premium urban
114 store_B 52 903.3836 9.353545 0.0 0 3 premium urban
115 store_B 53 965.40485 10.713228 0.0 0 4 premium urban
116 store_B 54 1031.0249 10.517039 0.0 0 5 premium urban
117 store_B 55 1094.0964 10.438926 1.0 0 6 premium urban
118 store_B 56 988.38293 9.864186 1.0 0 0 premium urban
119 store_B 57 911.7493 10.254618 0.0 0 1 premium urban
120 store_B 58 1025.1101 10.168196 1.0 0 2 premium urban
121 store_B 59 978.6775 10.299693 1.0 0 3 premium urban
122 store_C 0 728.35284 10.130472 0.0 1 0 premium urban
123 store_C 1 503.7172 10.529998 0.0 0 1 premium urban
124 store_C 2 557.5812 10.269437 0.0 0 2 premium urban
125 store_C 3 579.2723 10.107159 0.0 0 3 premium urban
126 store_C 4 557.2319 10.118414 0.0 0 4 premium urban
127 store_C 5 573.1017 9.607901 0.0 0 5 premium urban
128 store_C 6 581.31024 9.061636 0.0 0 6 premium urban
129 store_C 7 567.57776 9.873435 0.0 0 0 premium urban
130 store_C 8 606.85065 9.42917 0.0 0 1 premium urban
131 store_C 9 618.42255 9.817058 1.0 0 2 premium urban
132 store_C 10 637.49005 10.706806 0.0 0 3 premium urban
133 store_C 11 864.7779 9.467879 0.0 1 4 premium urban
134 store_C 12 571.1436 9.116606 0.0 0 5 premium urban
135 store_C 13 612.2043 9.562768 0.0 0 6 premium urban
136 store_C 14 872.13513 9.587188 1.0 0 0 premium urban
137 store_C 15 738.0299 10.323833 0.0 0 1 premium urban
138 store_C 16 604.6675 10.114064 0.0 0 2 premium urban
139 store_C 17 650.33057 10.567797 0.0 0 3 premium urban
140 store_C 18 661.12146 10.328627 0.0 0 4 premium urban
141 store_C 19 603.7142 9.812774 0.0 0 5 premium urban
142 store_C 20 828.2985 10.62804 1.0 0 6 premium urban
143 store_C 21 669.9662 9.333946 0.0 0 0 premium urban
144 store_C 22 638.91095 9.045424 0.0 0 1 premium urban
145 store_C 23 838.9723 9.180096 0.0 1 2 premium urban
146 store_C 24 834.94836 10.444718 0.0 0 3 premium urban
147 store_C 25 555.9125 9.923755 0.0 0 4 premium urban
148 store_C 26 477.89877 9.322543 0.0 0 5 premium urban
149 store_C 27 651.99023 10.0020895 0.0 0 6 premium urban
150 store_C 28 535.84216 9.304625 1.0 0 0 premium urban
151 store_C 29 523.2324 10.392641 1.0 0 1 premium urban
152 store_C 30 595.6628 9.892313 0.0 0 2 premium urban
153 store_C 31 429.21732 9.762042 0.0 0 3 premium urban
154 store_C 32 595.64905 9.6030245 0.0 0 4 premium urban
155 store_C 33 574.6885 10.260565 0.0 0 5 premium urban
156 store_C 34 477.18958 9.723625 0.0 0 6 premium urban
157 store_C 35 703.0953 9.1753 0.0 1 0 premium urban
158 store_C 36 530.65405 9.2360115 0.0 0 1 premium urban
159 store_C 37 506.09885 10.923796 0.0 0 2 premium urban
160 store_C 38 417.0998 10.817162 0.0 0 3 premium urban
161 store_C 39 526.0255 10.399414 1.0 0 4 premium urban
162 store_C 40 635.823 9.53174 0.0 0 5 premium urban
163 store_C 41 495.87946 10.938353 0.0 0 6 premium urban
164 store_C 42 534.13354 10.557502 0.0 0 0 premium urban
165 store_C 43 557.8907 10.433781 0.0 0 1 premium urban
166 store_C 44 535.6469 9.898723 1.0 0 2 premium urban
167 store_C 45 590.8869 9.544483 1.0 0 3 premium urban
168 store_C 46 574.78455 9.192781 0.0 0 4 premium urban
169 store_C 47 796.0737 10.805204 1.0 1 5 premium urban
170 store_C 48 546.10583 9.911552 0.0 0 6 premium urban
171 store_C 49 580.9428 9.404727 0.0 0 0 premium urban
172 store_C 50 606.4677 9.611914 0.0 0 1 premium urban
173 store_C 51 851.0876 10.158439 1.0 1 2 premium urban
174 store_C 52 763.8405 9.353545 0.0 0 3 premium urban
175 store_C 53 824.2607 10.713228 0.0 0 4 premium urban
176 store_C 54 656.9345 10.517039 0.0 0 5 premium urban
177 store_C 55 813.55115 10.438926 1.0 0 6 premium urban
178 store_C 56 885.26666 9.864186 1.0 0 0 premium urban
179 store_C 57 618.21106 10.254618 0.0 0 1 premium urban
180 store_C 58 649.7526 10.168196 1.0 0 2 premium urban
181 store_C 59 649.2765 10.299693 1.0 0 3 premium urban