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Lloyds Megathon X — Problem Statement 2 (Singularity)Generated: 2026-10-10T19:16:36.771958
1. Executive Summary & Data Governance
Dataset: Lloyds UK Residential Housing Stock Dataset (5,000 Properties)
Splits: Train = 3509 (70.2%), Val = 753 (15.1%), Test = 738 (14.8%)
Data Governance: Strict customer-level group partitioning. Zero customer ID or property ID overlap between train, validation, and test splits.
Synthetic Disclosure: All properties and transaction records were algorithmically synthesized with physical constraints and distributions calibrated to English Housing Survey, NEED, and Land Registry statistics.
2. Model Evaluation on Untouched Held-Out Test Set (738 Properties)
2.1 Electricity Consumption Model (annual_electricity_kwh)
Selected Architecture: HistGradientBoosting
Metric
Dummy Baseline (Median)
Selected Model (HistGradientBoosting)
Improvement vs. Baseline
RMSE (kWh/yr)
4,700.97
596.91
87.3% reduction
MAE (kWh/yr)
2,261.06
323.47
85.7% reduction
R² Score
-0.0851
0.9825
Substantial positive variance explained
WAPE (%)
43.38%
6.21%
Lower percentage error
2.2 Natural Gas Consumption Model (annual_gas_kwh)
Selected Architecture: HistGradientBoosting
Metric
Dummy Baseline (Median)
Selected Model (HistGradientBoosting)
Improvement vs. Baseline
RMSE (kWh/yr)
9,549.58
1,377.22
85.6% reduction
MAE (kWh/yr)
7,357.27
893.69
87.9% reduction
R² Score
-0.0002
0.9792
Near-perfect space heating capture
WAPE (%)
52.92%
6.43%
Lower percentage error
2.3 Property Valuation Model (historical_sale_price_gbp)
Selected Architecture: HistGradientBoosting
Metric
Dummy Baseline (Median)
Selected Model (HistGradientBoosting)
Improvement vs. Baseline
RMSE (£ GBP)
£176,527.29
£25,266.31
85.7% reduction
MAE (£ GBP)
£123,789.57
£17,130.99
86.2% reduction
R² Score
-0.0800
0.9779
Strong regional hedonic fit
WAPE (%)
40.33%
5.58%
High pricing precision
Empirical Residual Uncertainty Interval (P10 to P90):
[£-29,222.71, £23,862.88]
3. Candidate Model Validation Performance Comparison
Observational Bounds: The property valuation model captures hedonic equilibrium relationships. It does NOT claim that installing retrofits causes a guaranteed market appreciation.
Deterministic Governance: Green Home Score, per-fuel savings accounting, and carbon factors remain strictly deterministic and unalterable by machine learning drift.