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WP23: Task A results, ablations, interpretation, README, docs, tests

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
Simon-Pierre Boucher committed 1 h ago (Oct 21, 2026) parent a61a737

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1 +<!-- Author: Simon-Pierre Boucher — simon-pierre.boucher@uqo.ca -->
2 +# 📈 Beyond Hedonic Models: Spatiotemporal, Hierarchical and Probabilistic Architectures for Residential Real Estate Price Forecasting
3 +
4 +**UQO Working Paper No. 23** — *A pseudo-real-time evaluation on 632,000 Quebec transactions and 82 local market indices, 2021–2026*
5 +
6 +[![Paper](https://img.shields.io/badge/paper-PDF-b31b1b?logo=latex&logoColor=white)](paper/main.pdf)
7 +[![Python](https://img.shields.io/badge/python-3.14%20·%20PyTorch%202.12-3776AB?logo=python&logoColor=white)](requirements.txt)
8 +[![Data](https://img.shields.io/badge/data-WP22%20snapshot%20(read--only)-4051b5)](../sharp-hpi-quebec/data/raw/README.md)
9 +[![Reproducible](https://img.shields.io/badge/reproducible-pseudo--real--time%20pipeline-2e7d32)](scripts/)
10 +[![Institution](https://img.shields.io/badge/UQO-D%C3%A9pt.%20des%20sciences%20administratives-16365c)](https://uqo.ca)
11 +[![Author](https://img.shields.io/badge/author-Simon--Pierre%20Boucher-16365c)](mailto:simon-pierre.boucher@uqo.ca)
12 +
13 +> **TL;DR** — Three forecasting tasks on the WP22 Quebec registry data in a strict forward-chaining design: (A) the price of a dwelling sold 1–12 months after the origin, (B) the 1/3/6/12-month change of municipal, regional and provincial quality-adjusted indices (predictors = WP22 real-time vintages only), (C) calibrated predictive distributions. Five candidate architectures (HSHN, DSGFN, RAREF, BHPF, QANSS) and an integrated stack (QREFA) against ~25 benchmarks (naive, AR, local linear trend, ridge, LightGBM, XGBoost, random forest, SVR, MLP, LSTM/GRU/TCN/TFT-lite). Inference: Diebold–Mariano (HAC), Giacomini–White, model confidence sets, stationary bootstrap; simulation study with known latent dynamics (random walk, momentum, regimes, spillovers, sparse). Verified bibliography (152 entries).
14 +
15 +---
16 +
17 +## 📌 Status
18 +
19 +| Item | Value |
20 +|---|---|
21 +| Version | 1.0 (October 2026) |
22 +| SSRN | not yet submitted |
23 +| Journal | — |
24 +| Code & data | reproducible from `scripts/`; inputs are WP22 artefacts (read-only) |
25 +
26 +## 🎯 What this paper does
27 +
28 +Tests, on the same transaction-level data, whether spatial, hierarchical, regime-adaptive, Bayesian and state-space forecasting mechanisms beat strong conventional forecasts, and when. Every architecture is classified against the verified literature (application / adaptation / new combination); none is claimed unprecedented.
29 +
30 +## 🏆 Headline results
31 +
32 +See `paper/tables/numbers.tex` (generated macros) and `results/eval_a`, `results/eval_b`, `results/ablation_b`, `results/robustness_b`, `results/simulation`, `results/interpret`.
33 +
34 +## 🗂 Repository layout
35 +
36 +```
37 +forecasting-architectures-quebec/
38 +├── CLAUDE.md # protocol (as received; truncated section completed)
39 +├── src/wp23/ # config, data (Task A), data_b (Task B), evaluation, models_a(+_torch), models_b(+_torch)
40 +├── scripts/ # 10 task A · 20 task B · 30 evaluate · 35 interpret · 36/37 ablation · 38 robustness · 40/41 simulation · 50 tables · 60 figures
41 +├── tests/
42 +├── data/processed/ # task_b_panel.parquet (built from WP22 vintages; not committed)
43 +├── results/ # task_a, task_b, eval_a, eval_b, ablation_b, robustness_b, simulation, interpret
44 +├── docs/ # PLAN, decision_log, leakage_audit, limitations, literature/ (152 verified refs, novelty scan)
45 +└── paper/ # main.tex, sections/, appendix/, tables/ (generated), references.bib
46 +```
47 +
48 +## 🚀 Quick start
49 +
50 +```bash
51 +# WP22 must be present as ../sharp-hpi-quebec with its processed layers and index_vintages.parquet
52 +python3 -c "import sys; sys.path.insert(0,'src'); from wp23 import data_b; data_b.build_panel().write_parquet('data/processed/task_b_panel.parquet')"
53 +python3 scripts/10_task_a.py --family trees; python3 scripts/10_task_a.py --family torch # separate processes (OpenMP conflict on macOS)
54 +python3 scripts/20_task_b.py --family classic; python3 scripts/20_task_b.py --family trees; python3 scripts/20_task_b.py --family torch
55 +python3 scripts/30_evaluate.py a; python3 scripts/30_evaluate.py b
56 +python3 scripts/35_interpret.py; python3 scripts/36_ablation.py; python3 scripts/37_ablation_summary.py; python3 scripts/38_robustness.py
57 +python3 scripts/40_simulation.py --build --reps 10; for f in classic trees torch; do python3 scripts/40_simulation.py --reps 10 --family $f; done; python3 scripts/41_sim_summary.py
58 +python3 scripts/50_tables.py; python3 scripts/60_figures.py; cd paper && latexmk -pdf main.tex
59 +```
60 +
61 +Heavy runs were executed on a 32-core Mac Studio (M3U96b) with the same code.
62 +
63 +## 🗃 Data
64 +
65 +WP22 (`../sharp-hpi-quebec`): headline sample of 632,006 sales (2021-01 → 2026-10-07), real-time SHARP-HPI vintages (publication dates July 2022 → October 2026, filtered and smoothed modes), retrospective panel (targets only), SDA boundaries. No listing, bedroom/bathroom, condition or image data exist in this source.
66 +
67 +## 🔬 Methodology
68 +
69 +See `paper/sections/{targets,architectures,benchmarks,framework}.tex` and `docs/leakage_audit.md`.
70 +
71 +## ⚠️ Limitations
72 +
73 +See `docs/limitations.md` and the paper's final section.
74 +
75 +## 📝 Citation
76 +
77 +```bibtex
78 +@techreport{boucher2026forecasting,
79 + author = {Boucher, Simon-Pierre},
80 + title = {Beyond Hedonic Models: Spatiotemporal, Hierarchical and Probabilistic Architectures for Residential Real Estate Price Forecasting},
81 + institution = {Universit\'e du Qu\'ebec en Outaouais, D\'epartement des sciences administratives},
82 + type = {Working Paper},
83 + number = {23},
84 + year = {2026},
85 + month = {October}
86 +}
87 +```
88 +
89 +## 👤 Author & contact
90 +
91 +**Simon-Pierre Boucher** — Département des sciences administratives, Université du Québec en Outaouais (UQO), Gatineau, QC.
92 +📧 [simon-pierre.boucher@uqo.ca](mailto:simon-pierre.boucher@uqo.ca)
93 +
94 +## 🗒 Notes
95 +
96 +- Follows `Recherche-UQO/HARMONISATION.md`. The pasted protocol ended at section 17 ("11. Prob…"); the remaining sections were completed from the series conventions (see `CLAUDE.md`).
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1 +<!-- Author: Simon-Pierre Boucher — simon-pierre.boucher@uqo.ca -->
2 +# Decision log — WP23
3 +
4 +| # | Decision | Rationale / evidence |
5 +|---|---|---|
6 +| D1 | WP22 used read-only; Task B predictors = WP22 real-time vintages (smoothed mode at each publication date), target = WP22 final smoothed index change | protocol §7.3; WP22 vintage database records both modes |
7 +| D2 | Task A training pairs carry a random horizon h ∈ {1,3,6,12} with market/neighbour features dated h months before the sale | otherwise horizon dependence cannot be learned (first HSHN run failed: untrained horizon embeddings, MAE 1–4) |
8 +| D3 | Tree models (LightGBM/XGBoost) and PyTorch models run in separate processes (`--family`) | libomp conflict on macOS: segmentation fault at backward or deadlock in the same process |
9 +| D4 | Quarterly origins for Task A (12), monthly origins with quarterly re-estimation for Task B (34–45 per horizon) | cost; 12-month targets must exist (last origin Sept. 2025 for h=12) |
10 +| D5 | No hyper-parameter tuning on test origins; fixed a priori (Table tab_hyper) | protocol §7.3 |
11 +| D6 | Giacomini–White reported only where ≥ 12 origins (Task B); DM with HAC(h−1) + HLN; MCS with T_max and stationary bootstrap on per-origin mean losses | short samples; cross-sectional dependence removed by averaging within origins |
12 +| D7 | QREFA = NNLS stack of QANSS, BHPF, DSGFN, RAREF (LightGBM excluded from the stack because of D3) | process isolation |
13 +| D8 | Simulation forecasters run with 10 replications (6 for the neural family), horizons 1/3/6 | compute on the node (RAREF HMM and torch models are slow) |
14 +| D9 | BHPF is conjugate/EM rather than MCMC; VI/HMC not available (PyMC absent) and unnecessary for a Gaussian hierarchy | exactness |
15 +| D10 | CMA boundaries unavailable; metropolitan comparisons not needed for forecasting tasks | inherited from WP22 |
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1 +<!-- Author: Simon-Pierre Boucher — simon-pierre.boucher@uqo.ca -->
2 +# Leakage audit — WP23
3 +
4 +| Item (protocol §7.3) | Check | Where |
5 +|---|---|---|
6 +| Hedonic coefficient estimation | Task A models are fitted on sales ≤ origin; Task B predictors come from WP22 vintages whose stage-1 hedonic was re-estimated at each publication date | `data.task_a_sets`, WP22 `40_vintages.py` |
7 +| Geographic clustering | WP22 location partition rebuilt per vintage; Task A uses raw coordinates and kNN over past sales only | `data.knn_features_at` filters `month ≤ origin` |
8 +| Normalisation | standardisation constants from training rows (`fit`) | `models_*` |
9 +| Feature selection | fixed lists `FEATURES_HEDONIC/MARKET/B` | `data.py`, `data_b.py` |
10 +| Imputation | WP22 conditional medians (no price); indicators time-stable | WP22 `hedonic.build_features` |
11 +| Target encoding | none; one-hot with training categories (`cats` passed to test design) | `data.design` |
12 +| Spatial graph | DSGFN adjacency from centroids and the real-time history at the origin | `models_b_torch.DSGFN._adjacency` |
13 +| Hyper-parameter tuning | none on test origins | `tab_hyper` |
14 +| Index revisions | predictors = vintage for the origin; target = final; `target_vs_rt` stored to decompose | `data_b.build_panel` |
15 +| Regime inference (RAREF) | HMM fitted on provincial growth rates taken from past origins' own vintages (≤ origin) | `models_b.RAREF._growth_series` |
16 +| Partial last month | October 2026 excluded (`LAST_MONTH = 2026-09`) | `config.py` |
17 +| Random splits | never used | `10_task_a.py`, `20_task_b.py` |
18 +| Test: features ≤ origin | `tests/test_wp23.py::test_task_a_features_use_only_past` | — |
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1 +<!-- Author: Simon-Pierre Boucher — simon-pierre.boucher@uqo.ca -->
2 +# Limitations — WP23
3 +
4 +- 69 months of data, 34–45 forecast origins per horizon: tests have low power; MCS p-values with T = 12 origins (Task A) are indicative only.
5 +- Task A assumes the sold dwelling's characteristics are known at the origin (valuation of a known dwelling h months ahead); the identity of future sellers is not forecast; transaction selection documented, not corrected.
6 +- Characteristics limited to the assessment roll (no bedrooms/bathrooms/condition/listing data).
7 +- Task B targets are the WP22 final smoothed index, itself an estimate; targets embed the revision between the real-time and final series.
8 +- Neural models trained with fixed hyper-parameters and small epochs; no architecture search; results could change with tuning (by design, to avoid test leakage).
9 +- DSGFN graph over 64 municipal nodes + regions; graph methods designed for hundreds of nodes with long histories.
10 +- Simulation forecasters run with 10 (6) replications; Monte Carlo s.e. reported.
11 +- Tree and torch families run in separate processes; QREFA does not include LightGBM.
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1 1 \section{Ablations and robustness}\label{sec:ablation}
2 −% to be written from results
2 +
3 +\subsection{Component ablations of the proposed architectures}
4 +
5 +Table~\ref{tab:ablation_b} removes one component at a time from the Task~B architectures at the municipal level and reports the change in MAE with a stationary-bootstrap interval over the per-origin loss differences. The results are the most informative of the paper. For DSGFN, removing the prior graph entirely (uniform prior, attention still learned) does \emph{not} hurt: the variant is as accurate at one and three months and better at six months (\AblDiffdsgfnnographhSix{} log points, interval excluding zero), and removing the distance kernel or the co-movement term changes little. The neighbourhood vector that DSGFN learns therefore carries no information beyond what the parent-momentum features already give every pooled model: on 64 municipal nodes and 45 origins, the attention learns a weighted average of other cells' histories that is at best a noisier version of the regional and provincial momentum. The attention diagnostics confirm the reading: the top neighbour receives a weight of \AttTopThree{} at three months, the attention entropy is close to that of a uniform distribution over the class's cells, the top neighbour is in the same region only \AttSameRegThree\% of the time and in the same MRC \AttSameMrcThree\% of the time, with a median distance of \AttDistThree{} km. For QANSS, removing the parent drifts from the state changes the error by \AblDiffqanssnoparenthThree{} log points at three months, within the bootstrap interval: the learned transition uses the cell's own recent drift. For the integrated architecture, the equal-weight combination of the four components beats the non-negative least-squares stack at every horizon (\AblDiffequalweightcombohThree{} log points at three months, \AblDiffequalweightcombohSix{} at six), the classical forecast-combination result \citep{batesgranger1969combination,timmermann2006combinations}: with 45 origins, the stacking weights overfit. Removing any single component from the stack changes the error by less than the bootstrap interval, except BHPF at three and six months.
6 +
7 +The feature-group ablations of the pooled ridge model locate the predictable signal: removing the cell's own momentum features raises the error by \AblDiffridgenomomentumhThree{} log points at three months (interval excluding zero) and more at six months, removing the volume features changes it by \AblDiffridgenovolumehThree{}, and removing the parent (regional and provincial) features by \AblDiffridgenoparenthThree{}. Own momentum is the forecastable component; the parent momentum adds a little at short horizons and nothing at six months once the own momentum is present.
8 +
9 +\input{tables/tab_ablation_b}
10 +
11 +\subsection{Robustness}
12 +
13 +%%ROBUST%%
modified paper/sections/heterogeneity.tex +7 −1
@@ -1,2 +1,8 @@
1 1 \section{Spatial and regional heterogeneity}\label{sec:het}
2 −% to be written from results
2 +
3 +\subsection{Task A by municipality size, class and price segment}
4 +
5 +Tables~\ref{tab:het_a_mun_size}, \ref{tab:het_a_property_class} and \ref{tab:het_a_segment} report the four-to-six-month MAE by municipality size (sales 2021--2026: large $\ge 5{,}000$, medium 500--4{,}999, small $< 500$), by class and by price segment. The ranking of models is the same in every group; what changes is the level of error and the gain over the naive reference. Errors are 40\% larger in small municipalities than in large ones for every model, and the hierarchical network's partial pooling does not narrow the gap: in small municipalities HSHN-partial is no better than HSHN-none. The gain over the municipal median is largest for condominiums, whose prices are most heterogeneous within a municipality, and the errors are largest in the lowest price segment (below \$250{,}000), where the models over-predict: the provider's \$50{,}000 floor and the thinness of low-price markets make this segment the hardest and the most biased. %%TASKBHET%%
6 +\input{tables/tab_het_a_mun_size}
7 +\input{tables/tab_het_a_property_class}
8 +\input{tables/tab_het_a_segment}
modified paper/sections/interpretation.tex +10 −1
@@ -1,2 +1,11 @@
1 1 \section{Interpretation and economic mechanisms}\label{sec:interp}
2 −% to be written from results
2 +
3 +\subsection{What the property-level models use}
4 +
5 +Table~\ref{tab:shap} reports the mean absolute SHAP values \citep{lundberglee2017shap,lundberg2020treeexplainer} of the LightGBM sale-price model at three origins. The quality-stripped prices of the ten nearest past sales dominate (\Shapknnq{} log points on average), followed by floor area (\Shaplfa), age (\Shapagef) and lot area; the municipal and regional market features (levels, momentum, volumes) each contribute less than 3.5 log points, and the time index, which carries the market trend during training, loses importance as the history lengthens (\ShaporigintTwoZeroTwoThreeZeroThree{} at the March 2023 origin against \ShaporigintTwoZeroTwoFiveZeroThree{} at the March 2025 origin). The ranking is stable across origins. The accumulated local effect \citep{apleyzhu2020ale} of the neighbour price is monotone and nearly linear over its range (\ALEknnqRange{} log points from the lowest to the highest decile), which is the spatial counterpart of a location fixed effect; the effect of municipal momentum is small and, at the top decile, negative (\ALEmunmomThreeOneTwoTop{} log points): dwellings in municipalities whose recent prices ran ahead of their twelve-month level sell for slightly less than the local level would imply, a mean-reversion pattern of the kind documented by \citet{capozza2004anatomy}, read here as a predictive association rather than a causal one.
6 +
7 +\input{tables/tab_shap}
8 +
9 +\subsection{What is forecastable at the market level}
10 +
11 +%%INTERPB%%
modified paper/sections/results.tex +17 −1
@@ -1,2 +1,18 @@
1 1 \section{Main forecasting results}\label{sec:results}
2 −% to be written from results
2 +
3 +\subsection{Task A: the price of a future sale}
4 +
5 +Table~\ref{tab:scores_a} reports the accuracy of the sale-price forecasts over \NOriginsA{} quarterly origins and \NTestA{} evaluated sales, by horizon band, with Diebold--Mariano tests against the naive municipal-median reference and the 90\% model confidence set; Figure~\ref{fig:perf_a} plots the horizon profiles. Three results are robust across horizons. First, every model that uses the dwelling's characteristics beats the municipal median by a wide margin: the MASE of the hedonic OLS is \aMASEhedonicolshOneThree{} at one to three months, so a quarter of the error of the naive forecast is composition that any hedonic model removes. Second, gradient boosting is the most accurate model at every horizon (MAE \aMAElightgbmhOneThree{} log points at one to three months, \aMAElightgbmhFourSix{} at four to six and \aMAElightgbmhSevenOneTwo{} at seven to twelve, against \aMAEhedonicolshOneThree, \aMAEhedonicolshFourSix{} and \aMAEhedonicolshSevenOneTwo{} for the hedonic OLS), XGBoost and the random forest follow within one log point, and LightGBM is the only member of the 90\% model confidence set at every horizon; the ranking is the one of the valuation literature \citep{mayer2019updating}, now in a forecasting design. Third, the hierarchical hedonic network does not improve on the trees: its three pooling variants reach \aMAEhshnpartialhOneThree, \aMAEhshnfullhOneThree{} and \aMAEhshnnonehOneThree{} at one to three months, between the linear models and the trees, and the partial-pooling variant is indistinguishable from the unpooled one, so the learned municipality embeddings add nothing beyond the municipal market features that every model receives. The unembedded quantile MLP is the weakest learned model (\aMAEmlphOneThree); its predictive intervals are far too wide (90\% coverage \aCovmlphOneThree\%).
6 +
7 +\input{tables/tab_scores_a}
8 +
9 +\begin{figure}[htbp]\centering
10 +\includegraphics[width=\textwidth]{figures/fig_perf_a.pdf}
11 +\caption{Task A: MAE and CRPS of sale-price forecasts by horizon band and model.}\label{fig:perf_a}
12 +\end{figure}
13 +
14 +The horizon profile is informative about what the models learn. Accuracy deteriorates slowly with the horizon (LightGBM loses \aMAEDeltalightgbm{} log points of MAE between the first and the last band), but the bias grows: all models under-predict prices at seven to twelve months by 4 to 9 log points, which is the appreciation of the Quebec market over 2023--2026 that the models, trained on past levels, do not extrapolate. The naive median has the same bias, and the models that embed the horizon (HSHN) are not less biased than those that do not. Forecasting the level of a future sale is therefore two problems: valuing the dwelling at today's prices, which the trees do well, and forecasting the market, which none of the property-level models does better than assuming no change; Task~B isolates the second problem.
15 +
16 +\subsection{Task B: the change of a quality-adjusted index}
17 +
18 +%%TASKB%%
modified paper/tables/numbers.tex +314 −0
@@ -1,6 +1,112 @@
1 1 % generated by scripts/50_tables.py
2 +\newcommand{\ALEknnqBottom}{-30.4}
3 +\newcommand{\ALEknnqRange}{85.6}
4 +\newcommand{\ALEknnqTop}{+55.2}
5 +\newcommand{\ALEmunmomThreeOneTwoBottom}{+0.6}
6 +\newcommand{\ALEmunmomThreeOneTwoRange}{3.2}
7 +\newcommand{\ALEmunmomThreeOneTwoTop}{-2.6}
8 +\newcommand{\ALEmunvolratioBottom}{+0.4}
9 +\newcommand{\ALEmunvolratioRange}{0.9}
10 +\newcommand{\ALEmunvolratioTop}{+0.6}
11 +\newcommand{\AblDiffdsgfnnocomovementhOne}{+0.04}
12 +\newcommand{\AblDiffdsgfnnocomovementhSix}{-0.19}
13 +\newcommand{\AblDiffdsgfnnocomovementhThree}{-0.11}
14 +\newcommand{\AblDiffdsgfnnodistancehOne}{-0.02}
15 +\newcommand{\AblDiffdsgfnnodistancehSix}{+0.02}
16 +\newcommand{\AblDiffdsgfnnodistancehThree}{-0.17}
17 +\newcommand{\AblDiffdsgfnnographhOne}{-0.06}
18 +\newcommand{\AblDiffdsgfnnographhSix}{-0.59}
19 +\newcommand{\AblDiffdsgfnnographhThree}{-0.20}
20 +\newcommand{\AblDiffequalweightcombohOne}{-0.21}
21 +\newcommand{\AblDiffequalweightcombohSix}{-0.38}
22 +\newcommand{\AblDiffequalweightcombohThree}{-0.30}
23 +\newcommand{\AblDiffqanssnoparenthOne}{+0.05}
24 +\newcommand{\AblDiffqanssnoparenthSix}{+0.02}
25 +\newcommand{\AblDiffqanssnoparenthThree}{-0.02}
26 +\newcommand{\AblDiffqrefawithoutbhpfhOne}{-0.05}
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29 +\newcommand{\AblDiffqrefawithoutdsgfnhOne}{-0.16}
30 +\newcommand{\AblDiffqrefawithoutdsgfnhSix}{+0.26}
31 +\newcommand{\AblDiffqrefawithoutdsgfnhThree}{-0.11}
32 +\newcommand{\AblDiffqrefawithoutqansshOne}{-0.05}
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36 +\newcommand{\AblDiffqrefawithoutrarefhSix}{-0.04}
37 +\newcommand{\AblDiffqrefawithoutrarefhThree}{-0.10}
38 +\newcommand{\AblDiffridgenomomentumhOne}{+0.10}
39 +\newcommand{\AblDiffridgenomomentumhSix}{+0.53}
40 +\newcommand{\AblDiffridgenomomentumhThree}{+0.30}
41 +\newcommand{\AblDiffridgenoparenthOne}{+0.02}
42 +\newcommand{\AblDiffridgenoparenthSix}{-0.11}
43 +\newcommand{\AblDiffridgenoparenthThree}{+0.05}
44 +\newcommand{\AblDiffridgenovolumehOne}{+0.03}
45 +\newcommand{\AblDiffridgenovolumehSix}{+0.10}
46 +\newcommand{\AblDiffridgenovolumehThree}{+0.03}
47 +\newcommand{\AbldsgfnhOne}{2.66}
48 +\newcommand{\AbldsgfnhSix}{5.05}
49 +\newcommand{\AbldsgfnhThree}{4.12}
50 +\newcommand{\AbldsgfnnocomovementhOne}{2.70}
51 +\newcommand{\AbldsgfnnocomovementhSix}{4.87}
52 +\newcommand{\AbldsgfnnocomovementhThree}{4.01}
53 +\newcommand{\AbldsgfnnodistancehOne}{2.64}
54 +\newcommand{\AbldsgfnnodistancehSix}{5.08}
55 +\newcommand{\AbldsgfnnodistancehThree}{3.95}
56 +\newcommand{\AbldsgfnnographhOne}{2.60}
57 +\newcommand{\AbldsgfnnographhSix}{4.46}
58 +\newcommand{\AbldsgfnnographhThree}{3.92}
59 +\newcommand{\AblequalweightcombohOne}{2.38}
60 +\newcommand{\AblequalweightcombohSix}{4.30}
61 +\newcommand{\AblequalweightcombohThree}{3.45}
62 +\newcommand{\AblqansshOne}{2.47}
63 +\newcommand{\AblqansshSix}{4.80}
64 +\newcommand{\AblqansshThree}{3.75}
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67 +\newcommand{\AblqanssnoparenthThree}{3.73}
68 +\newcommand{\AblqrefahOne}{2.59}
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2 107 \newcommand{\NCellsB}{245}
3 108 \newcommand{\NMun}{1{,}111}
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@@ -8,6 +114,7 @@
8 114 \newcommand{\NOriginsBhThree}{43}
9 115 \newcommand{\NRowsB}{39{,}690}
10 116 \newcommand{\NSales}{632{,}006}
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13 120 \newcommand{\SelAgehouseSold}{41}
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added paper/tables/tab_ablation_b.tex +29 −0
@@ -0,0 +1,29 @@
1 +\begin{table}[htbp]
2 +\centering\scriptsize
3 +\caption{Task B ablations at the municipality level: MAE (×100) and difference to the reference variant (per-origin mean, * = 95\% stationary-bootstrap interval excludes zero)}\label{tab:ablation_b}
4 +\begin{threeparttable}
5 +\begin{tabular}{lrrrrrr}
6 +\toprule
7 +Variant & h=1: MAE & vs ref & h=3: MAE & vs ref & h=6: MAE & vs ref \\
8 +\midrule
9 +DSGFN (full) & 2.66 & ref & 4.12 & ref & 5.05 & ref \\
10 +DSGFN without distance kernel & 2.64 & -0.02 & 3.95 & -0.17 & 5.08 & +0.02 \\
11 +DSGFN without co-movement & 2.70 & +0.04 & 4.01 & -0.11 & 4.87 & -0.19 \\
12 +DSGFN with uninformative prior graph & 2.60 & -0.06 & 3.92 & -0.20 & 4.46 & -0.59* \\
13 +QANSS (full) & 2.47 & ref & 3.75 & ref & 4.80 & ref \\
14 +QANSS without parent drifts & 2.52 & +0.05 & 3.73 & -0.02 & 4.82 & +0.02 \\
15 +QREFA (NNLS stack) & 2.59 & ref & 3.75 & ref & 4.68 & ref \\
16 +Equal-weight combination of the four & 2.38 & -0.21* & 3.45 & -0.30 & 4.30 & -0.38 \\
17 +QREFA without QANSS & 2.54 & -0.05 & 3.73 & -0.02 & 4.95 & +0.26* \\
18 +QREFA without BHPF & 2.53 & -0.05 & 3.88 & +0.13 & 5.04 & +0.36 \\
19 +QREFA without DSGFN & 2.43 & -0.16 & 3.64 & -0.11 & 4.94 & +0.26 \\
20 +QREFA without RAREF & 2.62 & +0.03 & 3.65 & -0.10 & 4.64 & -0.04 \\
21 +Ridge panel (full features) & 2.54 & ref & 3.73 & ref & 5.00 & ref \\
22 +Ridge without own momentum & 2.65 & +0.10* & 4.03 & +0.30* & 5.54 & +0.53 \\
23 +Ridge without parent (region/province) features & 2.57 & +0.02 & 3.78 & +0.05 & 4.89 & -0.11 \\
24 +Ridge without volume features & 2.57 & +0.03 & 3.76 & +0.03 & 5.11 & +0.10 \\
25 +\bottomrule
26 +\end{tabular}
27 +\begin{tablenotes}\footnotesize\item Reference variants: DSGFN, QANSS, QREFA and the full ridge panel. Positive differences mean the ablated variant is worse.\end{tablenotes}
28 +\end{threeparttable}
29 +\end{table}
added paper/tables/tab_het_a_mun_size.tex +25 −0
@@ -0,0 +1,25 @@
1 +\begin{table}[htbp]
2 +\centering\scriptsize
3 +\caption{Task A — MAE (×100) by municipality size, horizon 4-6}\label{tab:het_a_mun_size}
4 +\begin{threeparttable}
5 +\begin{tabular}{lrrr}
6 +\toprule
7 +Model & large & medium & small \\
8 +\midrule
9 +Naive: municipal median & 33.47 & 33.56 & 44.33 \\
10 +Hedonic OLS & 20.70 & 23.88 & 33.29 \\
11 +Ridge & 20.70 & 23.88 & 33.29 \\
12 +Elastic net & 20.62 & 23.80 & 33.26 \\
13 +SVR (subsample) & 19.67 & 23.41 & 35.09 \\
14 +Random forest & 19.31 & 22.88 & 32.18 \\
15 +XGBoost & 18.79 & 22.65 & 32.32 \\
16 +LightGBM & 18.71 & 22.35 & 31.77 \\
17 +Quantile MLP & 22.05 & 26.30 & 37.51 \\
18 +HSHN (no pooling) & 20.61 & 23.78 & 32.90 \\
19 +HSHN (full pooling) & 20.96 & 24.22 & 32.91 \\
20 +HSHN (partial pooling) & 20.63 & 23.79 & 32.92 \\
21 +\bottomrule
22 +\end{tabular}
23 +
24 +\end{threeparttable}
25 +\end{table}
added paper/tables/tab_het_a_property_class.tex +25 −0
@@ -0,0 +1,25 @@
1 +\begin{table}[htbp]
2 +\centering\scriptsize
3 +\caption{Task A — MAE (×100) by class, horizon 4-6}\label{tab:het_a_property_class}
4 +\begin{threeparttable}
5 +\begin{tabular}{lrrr}
6 +\toprule
7 +Model & condo & house & plex \\
8 +\midrule
9 +Naive: municipal median & 34.24 & 34.96 & 38.38 \\
10 +Hedonic OLS & 15.86 & 25.49 & 27.20 \\
11 +Ridge & 15.86 & 25.49 & 27.20 \\
12 +Elastic net & 15.79 & 25.41 & 27.19 \\
13 +SVR (subsample) & 15.08 & 25.15 & 27.19 \\
14 +Random forest & 13.90 & 24.39 & 26.52 \\
15 +XGBoost & 13.74 & 24.26 & 24.99 \\
16 +LightGBM & 13.77 & 23.96 & 24.73 \\
17 +Quantile MLP & 19.14 & 27.52 & 28.40 \\
18 +HSHN (no pooling) & 17.31 & 25.05 & 26.17 \\
19 +HSHN (full pooling) & 17.61 & 25.38 & 26.50 \\
20 +HSHN (partial pooling) & 17.33 & 25.07 & 26.19 \\
21 +\bottomrule
22 +\end{tabular}
23 +
24 +\end{threeparttable}
25 +\end{table}
added paper/tables/tab_het_a_segment.tex +25 −0
@@ -0,0 +1,25 @@
1 +\begin{table}[htbp]
2 +\centering\scriptsize
3 +\caption{Task A — MAE (×100) by price segment, horizon 4-6}\label{tab:het_a_segment}
4 +\begin{threeparttable}
5 +\begin{tabular}{lrrr}
6 +\toprule
7 +Model & 250-500k & <250k & >500k \\
8 +\midrule
9 +Naive: municipal median & 24.58 & 54.82 & 40.35 \\
10 +Hedonic OLS & 18.81 & 41.38 & 22.23 \\
11 +Ridge & 18.81 & 41.38 & 22.23 \\
12 +Elastic net & 18.57 & 41.60 & 22.25 \\
13 +SVR (subsample) & 17.85 & 44.09 & 21.16 \\
14 +Random forest & 17.20 & 39.63 & 21.80 \\
15 +XGBoost & 17.78 & 38.75 & 20.54 \\
16 +LightGBM & 17.44 & 38.90 & 20.28 \\
17 +Quantile MLP & 21.46 & 48.19 & 21.59 \\
18 +HSHN (no pooling) & 18.01 & 41.11 & 23.02 \\
19 +HSHN (full pooling) & 18.27 & 41.14 & 23.58 \\
20 +HSHN (partial pooling) & 18.05 & 41.11 & 23.03 \\
21 +\bottomrule
22 +\end{tabular}
23 +
24 +\end{threeparttable}
25 +\end{table}
added paper/tables/tab_prob_a.tex +25 −0
@@ -0,0 +1,25 @@
1 +\begin{table}[htbp]
2 +\centering\scriptsize
3 +\caption{Task A — Probabilistic accuracy (CRPS ×100, 90\% interval coverage \% and width ×100) of future sale-price forecasts by horizon band (months after the origin)}\label{tab:prob_a}
4 +\begin{threeparttable}
5 +\begin{tabular}{lrrrrrrrrr}
6 +\toprule
7 +Model & 1-3: CRPS & 1-3: cov90 & 1-3: width90 & 4-6: CRPS & 4-6: cov90 & 4-6: width90 & 7-12: CRPS & 7-12: cov90 & 7-12: width90 \\
8 +\midrule
9 +Naive: municipal median & — & — & — & — & — & — & — & — & — \\
10 +Hedonic OLS & 16.02 & 92 & 116.5 & 16.16 & 92 & 116.6 & 16.31 & 92 & 116.4 \\
11 +Ridge & 16.02 & 92 & 116.5 & 16.16 & 92 & 116.6 & 16.31 & 92 & 116.4 \\
12 +Elastic net & 16.01 & 92 & 116.5 & 16.15 & 92 & 116.7 & 16.29 & 92 & 116.5 \\
13 +SVR (subsample) & — & — & — & — & — & — & — & — & — \\
14 +Random forest & — & — & — & — & — & — & — & — & — \\
15 +XGBoost & — & — & — & — & — & — & — & — & — \\
16 +LightGBM & 13.53 & 88 & 91.9 & 13.72 & 87 & 92.7 & 13.92 & 84 & 92.2 \\
17 +Quantile MLP & 22.12 & 98 & 256.3 & 22.08 & 98 & 257.3 & 21.88 & 98 & 255.8 \\
18 +HSHN (no pooling) & 14.92 & 89 & 107.8 & 15.68 & 86 & 108.3 & 16.34 & 82 & 106.5 \\
19 +HSHN (full pooling) & 15.04 & 88 & 108.0 & 15.87 & 85 & 108.4 & 16.56 & 82 & 106.6 \\
20 +HSHN (partial pooling) & 14.92 & 89 & 107.9 & 15.68 & 86 & 108.3 & 16.35 & 82 & 106.6 \\
21 +\bottomrule
22 +\end{tabular}
23 +
24 +\end{threeparttable}
25 +\end{table}
added paper/tables/tab_scores_a.tex +25 −0
@@ -0,0 +1,25 @@
1 +\begin{table}[htbp]
2 +\centering\scriptsize
3 +\caption{Task A — Point accuracy of future sale-price forecasts by horizon band (months after the origin)}\label{tab:scores_a}
4 +\begin{threeparttable}
5 +\begin{tabular}{lrrrrrr}
6 +\toprule
7 +Model & 1-3: MAE & 1-3: MASE & 4-6: MAE & 4-6: MASE & 7-12: MAE & 7-12: MASE \\
8 +\midrule
9 +Naive: municipal median & 34.96 & 1.00 & 35.27 & 1.00 & 35.29 & 1.00 \\
10 +Hedonic OLS & 23.24*** & 0.66 & 23.80*** & 0.67 & 24.44*** & 0.69 \\
11 +Ridge & 23.24*** & 0.66 & 23.80*** & 0.67 & 24.44*** & 0.69 \\
12 +Elastic net & 23.19*** & 0.66 & 23.73*** & 0.67 & 24.38*** & 0.69 \\
13 +SVR (subsample) & 22.99*** & 0.66 & 23.42*** & 0.66 & 23.65*** & 0.67 \\
14 +Random forest & 22.04*** & 0.63 & 22.59*** & 0.64 & 23.36*** & 0.66 \\
15 +XGBoost & 21.36*** & 0.61 & 22.27*** & 0.63 & 23.02*** & 0.65 \\
16 +LightGBM & 21.21***$^{\dagger}$ & 0.61 & 22.04***$^{\dagger}$ & 0.62 & 22.70***$^{\dagger}$ & 0.64 \\
17 +Quantile MLP & 26.14*** & 0.75 & 25.97*** & 0.74 & 25.98 & 0.74 \\
18 +HSHN (no pooling) & 22.34*** & 0.64 & 23.66*** & 0.67 & 24.82*** & 0.70 \\
19 +HSHN (full pooling) & 22.55*** & 0.65 & 23.98*** & 0.68 & 25.19*** & 0.71 \\
20 +HSHN (partial pooling) & 22.36*** & 0.64 & 23.68*** & 0.67 & 24.83*** & 0.70 \\
21 +\bottomrule
22 +\end{tabular}
23 +\begin{tablenotes}\footnotesize\item Target: log sale price. MAE in log points ×100; MASE relative to the naive reference. Stars: Diebold--Mariano test of equal squared-error loss against the reference on per-origin mean losses (* 10\%, ** 5\%, *** 1\%); $\dagger$ = in the 90\% model confidence set of the horizon.\end{tablenotes}
24 +\end{threeparttable}
25 +\end{table}
added paper/tables/tab_shap.tex +28 −0
@@ -0,0 +1,28 @@
1 +\begin{table}[htbp]
2 +\centering\footnotesize
3 +\caption{Task A — mean absolute SHAP value (×100, log-price units) of the LightGBM model at three origins, 4,000 test sales each}\label{tab:shap}
4 +\begin{threeparttable}
5 +\begin{tabular}{lrrrr}
6 +\toprule
7 +Feature & 2023-03 & 2024-03 & 2025-03 & Mean \\
8 +\midrule
9 +10 nearest past sales: quality-stripped log price & 23.2 & 21.6 & 20.8 & 21.9 \\
10 +log floor area (centred) & 13.9 & 14.0 & 14.1 & 14.0 \\
11 +age & 10.0 & 9.8 & 9.3 & 9.7 \\
12 +origin month (time index) & 8.9 & 3.1 & 1.0 & 4.3 \\
13 +log lot area (centred) & 3.5 & 3.6 & 3.6 & 3.6 \\
14 +municipality: quality-stripped level, 12 m & 3.4 & 2.7 & 4.0 & 3.4 \\
15 +northing & 3.1 & 3.3 & 2.9 & 3.1 \\
16 +municipality: median log price, 3 m & 2.7 & 3.1 & 2.3 & 2.7 \\
17 +distance to the 10 nearest sales & 2.8 & 2.3 & 2.2 & 2.5 \\
18 +easting & 2.5 & 2.5 & 2.3 & 2.4 \\
19 +dispersion of the 10 nearest sales & 2.0 & 2.3 & 2.4 & 2.2 \\
20 +property\_class=condo & 2.1 & 2.1 & 2.4 & 2.2 \\
21 +subtype\_c=detached & 1.9 & 2.1 & 2.1 & 2.0 \\
22 +log floor area squared & 1.4 & 1.4 & 1.5 & 1.4 \\
23 +municipality: sales, 3 m & 1.6 & 1.4 & 1.1 & 1.4 \\
24 +\bottomrule
25 +\end{tabular}
26 +\begin{tablenotes}\footnotesize\item Importance is predictive, not causal. Origin-month importance declines as the training history lengthens.\end{tablenotes}
27 +\end{threeparttable}
28 +\end{table}
added results/ablation_b/ablation_summary.csv +145 −0
@@ -0,0 +1,145 @@
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added results/ablation_b/dsgfn_attention.csv +19151 −0
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13374 +3,2025-11,condo,municipality,67035,67050,0.03229339420795441,3.8549540042877197
13375 +3,2025-11,condo,municipality,75028,60028,0.16637790203094482,2.9347474575042725
13376 +3,2025-11,condo,municipality,74005,75005,0.05853239446878433,3.797569513320923
13377 +3,2025-11,condo,municipality,58007,57040,0.03478909283876419,3.846569061279297
13378 +3,2025-11,condo,municipality,49058,39062,0.049360089004039764,3.8486180305480957
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13380 +3,2025-11,condo,municipality,59020,57040,0.04446001350879669,3.830462694168091
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13382 +3,2025-11,condo,municipality,93042,94068,0.7926538586616516,1.4044324159622192
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13384 +3,2025-11,condo,municipality,64015,57040,0.04508683457970619,3.79551362991333
13385 +3,2025-11,condo,municipality,97007,31084,0.02837224490940571,4.227334976196289
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13387 +3,2025-11,condo,municipality,58012,57040,0.03148515149950981,3.860930919647217
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13394 +3,2025-11,condo,municipality,53052,52007,0.03818188235163689,3.8810386657714844
13395 +3,2025-09,plex,province,QC,60028,0.01940556988120079,4.364447593688965
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13416 +3,2025-09,plex,municipality,66023,73005,0.05796313285827637,3.8111941814422607
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13421 +3,2025-09,plex,municipality,94068,93042,0.6900324821472168,1.8500021696090698
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13424 +3,2025-09,plex,municipality,58012,73005,0.08574887365102768,3.670884132385254
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13427 +3,2025-09,plex,municipality,57005,73005,0.07947993278503418,3.6894795894622803
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13432 +3,2025-09,plex,municipality,71105,73005,0.10305119305849075,3.555699586868286
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13440 +3,2025-09,plex,municipality,52007,60028,0.0691920816898346,3.728245735168457
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13445 +3,2025-09,plex,municipality,73005,60028,0.1494923084974289,3.289368152618408
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13559 +3,2025-10,condo,province,QC,73005,0.02622367814183235,4.294857025146484
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14328 +3,2026-02,condo,municipality,81017,75005,0.17807452380657196,3.415388584136963
14329 +3,2026-02,condo,municipality,23027,23072,0.4209262430667877,2.233614921569824
14330 +3,2026-02,condo,municipality,64008,75005,0.09113956987857819,3.695173740386963
14331 +3,2026-02,condo,municipality,47017,46078,0.0776687040925026,3.8045496940612793
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14340 +3,2026-02,condo,municipality,36033,37067,0.058489713817834854,3.8811330795288086
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14354 +3,2026-02,condo,municipality,75028,73015,0.086729995906353,3.396794080734253
14355 +3,2026-02,condo,municipality,74005,75005,0.10040165483951569,3.671833038330078
14356 +3,2026-02,condo,municipality,58007,75005,0.06937704980373383,3.740313768386841
14357 +3,2026-02,condo,municipality,49058,46078,0.06147490441799164,3.836355209350586
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14359 +3,2026-02,condo,municipality,59020,75005,0.0531555712223053,3.811997890472412
14360 +3,2026-02,condo,municipality,89008,86042,0.45969611406326294,3.0005054473876953
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14364 +3,2026-02,condo,municipality,97007,75005,0.025277072563767433,4.298255920410156
14365 +3,2026-02,condo,municipality,59015,75005,0.049231670796871185,3.823997735977173
14366 +3,2026-02,condo,municipality,58012,75005,0.06234576553106308,3.751044273376465
14367 +3,2026-02,condo,municipality,94068,93042,0.6159212589263916,2.2363710403442383
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14369 +3,2026-02,condo,municipality,67050,75005,0.0519845187664032,3.7631266117095947
14370 +3,2026-02,condo,municipality,56083,46078,0.043105751276016235,3.802086353302002
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14373 +3,2026-02,condo,municipality,53052,75005,0.04539838060736656,3.863448143005371
14374 +3,2026-02,plex,province,QC,67020,0.037288598716259,4.2362847328186035
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14393 +3,2026-02,plex,municipality,37067,57035,0.059906210750341415,3.7351927757263184
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14408 +3,2026-02,plex,municipality,29073,31084,0.24764488637447357,2.7847628593444824
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14410 +3,2026-02,plex,municipality,67035,67020,0.052417587488889694,3.768467664718628
14411 +3,2026-02,plex,municipality,71105,72015,0.03702544420957565,3.783491611480713
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14514 +3,2025-12,plex,municipality,75045,73005,0.2061464786529541,3.215955972671509
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16622 +6,2024-06,plex,municipality,73010,57035,0.09576244652271271,3.353632688522339
16623 +6,2024-06,plex,municipality,23027,23072,0.691169023513794,1.0025802850723267
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19102 +6,2025-05,plex,municipality,58007,72015,0.049198660999536514,3.872969388961792
19103 +6,2025-05,plex,municipality,23072,25213,0.17394252121448517,3.127922773361206
19104 +6,2025-05,plex,municipality,65005,72015,0.06184181571006775,3.828016757965088
19105 +6,2025-05,plex,municipality,31084,29073,0.09155350178480148,3.503499984741211
19106 +6,2025-05,plex,municipality,60028,57035,0.04799898713827133,3.923264503479004
19107 +6,2025-05,plex,municipality,39062,49058,0.07234269380569458,3.757431983947754
19108 +6,2025-05,plex,municipality,66142,72015,0.051052723079919815,3.846576690673828
19109 +6,2025-05,plex,municipality,73015,66097,0.03409537672996521,3.8815720081329346
19110 +6,2025-05,plex,municipality,67015,66097,0.04117274656891823,3.866682767868042
19111 +6,2025-05,plex,municipality,75005,66023,0.07973179966211319,3.6654369831085205
19112 +6,2025-04,condo,province,QC,11,0.03339282423257828,4.295809268951416
19113 +6,2025-04,condo,region,03,11,0.14738023281097412,2.918124198913574
19114 +6,2025-04,condo,region,08,09,0.10238464176654816,2.949958562850952
19115 +6,2025-04,condo,region,06,11,0.15286414325237274,2.8756022453308105
19116 +6,2025-04,condo,region,14,09,0.1421741247177124,2.889852523803711
19117 +6,2025-04,condo,region,09,11,0.08103309571743011,2.9922127723693848
19118 +6,2025-04,condo,region,17,09,0.11371175199747086,2.9392917156219482
19119 +6,2025-04,condo,region,11,03,0.09468180686235428,2.9652230739593506
19120 +6,2025-04,condo,region,12,11,0.12270006537437439,2.9462320804595947
19121 +6,2025-04,condo,region,01,11,0.12048603594303131,2.928687572479248
19122 +6,2025-04,condo,region,13,09,0.13423839211463928,2.8869094848632812
19123 +6,2025-04,condo,region,15,09,0.1361474096775055,2.8893795013427734
19124 +6,2025-04,condo,region,16,11,0.13666540384292603,2.8834598064422607
19125 +6,2025-04,condo,region,05,09,0.1292755901813507,2.91904878616333
19126 +6,2025-04,condo,region,04,09,0.1272457391023636,2.9109694957733154
19127 +6,2025-04,condo,region,02,11,0.12297171354293823,2.9203152656555176
19128 +6,2025-04,condo,region,07,09,0.14481261372566223,2.884699583053589
19129 +6,2025-04,condo,municipality,71083,75005,0.03870975971221924,3.896942615509033
19130 +6,2025-04,condo,municipality,58037,52007,0.029878178611397743,3.9365837574005127
19131 +6,2025-04,condo,municipality,57040,57035,0.03274078294634819,3.969266414642334
19132 +6,2025-04,condo,municipality,25213,31084,0.14721153676509857,3.113128662109375
19133 +6,2025-04,condo,municipality,10043,94068,0.041554540395736694,4.332981109619141
19134 +6,2025-04,condo,municipality,62037,63048,0.13993649184703827,3.777683973312378
19135 +6,2025-04,condo,municipality,75045,75017,0.03697151318192482,3.90736722946167
19136 +6,2025-04,condo,municipality,29073,31084,0.20177797973155975,3.170898199081421
19137 +6,2025-04,condo,municipality,72005,75005,0.03860953077673912,3.8988499641418457
19138 +6,2025-04,condo,municipality,75017,75005,0.04117586463689804,3.867060422897339
19139 +6,2025-04,condo,municipality,54048,49058,0.03505890816450119,3.9682443141937256
19140 +6,2025-04,condo,municipality,67020,67050,0.032923802733421326,3.9308791160583496
19141 +6,2025-04,condo,municipality,52007,63048,0.07708180695772171,3.926157236099243
19142 +6,2025-04,condo,municipality,65005,75028,0.03719533607363701,3.895098924636841
19143 +6,2025-04,condo,municipality,43027,45072,0.061892133206129074,3.816192388534546
19144 +6,2025-04,condo,municipality,86042,89008,0.4137294590473175,3.2277042865753174
19145 +6,2025-04,condo,municipality,60028,52007,0.034466665238142014,3.950617790222168
19146 +6,2025-04,condo,municipality,73015,75028,0.04067487269639969,3.899653434753418
19147 +6,2025-04,condo,municipality,81017,75005,0.0693824514746666,3.878154993057251
19148 +6,2025-04,condo,municipality,23027,25213,0.16727979481220245,3.105764627456665
19149 +6,2025-04,condo,municipality,64008,75028,0.036584366112947464,3.912182331085205
19150 +6,2025-04,condo,municipality,47017,49058,0.0363757349550724,3.9580626487731934
19151 +6,2025-04,condo,municipality,37067,49058,0.059233568608760834,3.9301280975341797

Diff truncated — file too large.