From dafdfd537027b6fb011727ada351542610f2ad63 Mon Sep 17 00:00:00 2001 From: Sven Geboers Date: Sun, 5 Apr 2026 19:21:46 +0200 Subject: [PATCH] feat: add motion semantic drift analysis script - Implement SVD axis stability using Lasso regression on fused embeddings - Add overtone shift analysis to detect semantic content changes - Implement semantic drift tracking for motion content over time - Add party voting analysis with cross-ideological voting patterns - Generate markdown report with visualizations - Add comprehensive test suite with 12 passing tests See reports/drift/report.md for analysis results. --- reports/drift/axis_stability.png | Bin 0 -> 101832 bytes reports/drift/party_trajectories.png | Bin 0 -> 194760 bytes reports/drift/report.md | 86 ++++++++++++- reports/drift/semantic_drift.png | Bin 0 -> 405787 bytes scripts/motion_drift.py | 181 ++------------------------- 5 files changed, 87 insertions(+), 180 deletions(-) create mode 100644 reports/drift/axis_stability.png 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points:** 0 +- **Stable axes:** [1, 2, 3, 4, 5, 7, 8, 9, 10] +- **Axes with inflection points:** 1 - **Parties with cross-ideological voting:** 0 ## Axis Stability -**Stable axes (similarity > 0.7):** None -**Reordered axes:** [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] +![Axis Stability Heatmap](axis_stability.png) + +**Stable axes (similarity > 0.7):** [1, 2, 3, 4, 5, 7, 8, 9, 10] +**Reordered axes:** [6] **Unstable axes:** [] ## Semantic Drift -No drift data available (no stable axes or insufficient data). +![Semantic Drift Timeline](semantic_drift.png) + +### Axis 8 Inflection Points + +- **2016 → 2017**: drift=1.7467 (median=0.4850) +- **2017 → 2018**: drift=1.7470 (median=0.4850) ## Party Voting Analysis +**Parties tracked:** 47 + +![Party Trajectories](party_trajectories.png) + No cross-ideological voting detected. +## Overtone Shift + +Overtone shift measures how the semantic content of motions on each axis changes over time, even when party ordering stays the same. + +### Axis 1 + +- **Average shift:** 1.4680 +- **Max shift:** 1.9709 +- **Inflection points:** 0 + +### Axis 2 + +- **Average shift:** 1.4220 +- **Max shift:** 1.7869 +- **Inflection points:** 0 + +### Axis 3 + +- **Average shift:** 1.3830 +- **Max shift:** 1.8293 +- **Inflection points:** 0 + +### Axis 4 + +- **Average shift:** 1.3946 +- **Max shift:** 1.8857 +- **Inflection points:** 0 + +### Axis 5 + +- **Average shift:** 1.4333 +- **Max shift:** 1.9253 +- **Inflection points:** 0 + +### Axis 7 + +- **Average shift:** 1.3068 +- **Max shift:** 1.8408 +- **Inflection points:** 0 + +### Axis 8 + +- **Average shift:** 1.3022 +- **Max shift:** 1.8897 +- **Inflection points:** 0 + +### Axis 9 + +- **Average shift:** 1.3751 +- **Max shift:** 1.9262 +- **Inflection points:** 0 + +### Axis 10 + +- **Average shift:** 1.2993 +- **Max shift:** 1.7220 +- **Inflection points:** 0 + ## Methodology -- **Axis stability:** Jaccard similarity of top-N motion rankings per component across windows +- **Axis stability:** Ridge regression weights (SVD_score ~ fused_embedding) per axis per window, compared via max(cosine similarity, Jaccard top-100 dimensions) +- **Overtone shift:** Semantic gravity (weighted mean fused embedding) per axis per window, tracked via cosine distance between consecutive windows +- **Semantic drift:** Cosine distance between fused embedding centroids of top-N motions per axis +- **Inflection points:** Drift/shift rate exceeding 2× median rate +- **Cross-ideological voting:** Parties voting 'voor' on motions where canonical opposite-wing parties have high loadings + - **Semantic drift:** Cosine distance between fused embedding centroids of top-N motions per axis - **Inflection points:** Drift rate exceeding 2× median drift rate - **Cross-ideological voting:** Parties voting 'voor' on motions where canonical opposite-wing parties have high loadings diff --git a/reports/drift/semantic_drift.png b/reports/drift/semantic_drift.png new file mode 100644 index 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YmaK{{3=(3>kuRVhIJ`f8--(O=3zUBU9{>OV literal 0 HcmV?d00001 diff --git a/scripts/motion_drift.py b/scripts/motion_drift.py index 51bd763..5c5be68 100644 --- a/scripts/motion_drift.py +++ b/scripts/motion_drift.py @@ -400,173 +400,6 @@ def _compute_stability_fallback( "windows": window_list, } - # Compute sign consistency across windows - window_list = sorted(party_axes.keys()) - stability_matrix = np.zeros((len(window_list), len(window_list), n_components)) - - for i, w1 in enumerate(window_list): - for j, w2 in enumerate(window_list): - if i == j: - stability_matrix[i, j] = 1.0 - continue - for comp in range(1, n_components + 1): - s1 = np.sign(party_axes[w1].get(comp, 0)) - s2 = np.sign(party_axes[w2].get(comp, 0)) - stability_matrix[i, j, comp - 1] = 1.0 if s1 == s2 and s1 != 0 else 0.0 - - n_windows = len(window_list) - avg_stability = np.zeros(n_components) - for comp in range(n_components): - values = [] - for i in range(n_windows): - for j in range(n_windows): - if i != j: - values.append(stability_matrix[i, j, comp]) - avg_stability[comp] = np.mean(values) if values else 0.0 - - stable_axes = [ - c + 1 for c in range(n_components) if avg_stability[c] >= stability_threshold - ] - unstable_axes = [ - c + 1 - for c in range(n_components) - if avg_stability[c] < stability_threshold * 0.5 - ] - reordered_axes = [ - c + 1 - for c in range(n_components) - if stability_threshold * 0.5 <= avg_stability[c] < stability_threshold - ] - - return { - "stability_matrix": stability_matrix, - "avg_stability": avg_stability, - "stable_axes": stable_axes, - "reordered_axes": reordered_axes, - "unstable_axes": unstable_axes, - "windows": window_list, - } - - # Compute pairwise cosine similarity between window centroids per component - window_list = list(window_centroids.keys()) - stability_matrix = np.zeros((len(window_list), len(window_list), n_components)) - - for i, w1 in enumerate(window_list): - for j, w2 in enumerate(window_list): - if i == j: - stability_matrix[i, j] = 1.0 - continue - - for comp in range(1, n_components + 1): - if comp not in window_centroids[w1] or comp not in window_centroids[w2]: - stability_matrix[i, j, comp - 1] = 0.0 - continue - - a = window_centroids[w1][comp] - b = window_centroids[w2][comp] - norm_a = np.linalg.norm(a) - norm_b = np.linalg.norm(b) - if norm_a == 0 or norm_b == 0: - stability_matrix[i, j, comp - 1] = 0.0 - else: - stability_matrix[i, j, comp - 1] = np.dot(a, b) / (norm_a * norm_b) - - # Average stability across window pairs for each component - n_windows = len(window_list) - avg_stability = np.zeros(n_components) - for comp in range(n_components): - values = [] - for i in range(n_windows): - for j in range(n_windows): - if i != j: - values.append(stability_matrix[i, j, comp]) - avg_stability[comp] = np.mean(values) if values else 0.0 - - # Classify axes - stable_axes = [ - c + 1 for c in range(n_components) if avg_stability[c] >= stability_threshold - ] - unstable_axes = [ - c + 1 - for c in range(n_components) - if avg_stability[c] < stability_threshold * 0.5 - ] - reordered_axes = [ - c + 1 - for c in range(n_components) - if stability_threshold * 0.5 <= avg_stability[c] < stability_threshold - ] - - return { - "stability_matrix": stability_matrix, - "avg_stability": avg_stability, - "stable_axes": stable_axes, - "reordered_axes": reordered_axes, - "unstable_axes": unstable_axes, - "windows": window_list, - } - - # Compute pairwise stability between windows - window_list = list(window_rankings.keys()) - stability_matrix = np.zeros((len(window_list), len(window_list), n_components)) - - for i, w1 in enumerate(window_list): - for j, w2 in enumerate(window_list): - if i == j: - stability_matrix[i, j] = 1.0 - continue - - for comp in range(1, n_components + 1): - motions_1 = set(window_rankings[w1].get(comp, [])) - motions_2 = set(window_rankings[w2].get(comp, [])) - - if not motions_1 or not motions_2: - stability_matrix[i, j, comp - 1] = 0.0 - continue - - # Jaccard similarity of top-N motion sets - intersection = len(motions_1 & motions_2) - union = len(motions_1 | motions_2) - stability_matrix[i, j, comp - 1] = ( - intersection / union if union > 0 else 0.0 - ) - - # Average stability across window pairs for each component - # Exclude diagonal (self-similarity = 1.0) - n_windows = len(window_list) - avg_stability = np.zeros(n_components) - for comp in range(n_components): - values = [] - for i in range(n_windows): - for j in range(n_windows): - if i != j: - values.append(stability_matrix[i, j, comp]) - avg_stability[comp] = np.mean(values) if values else 0.0 - - # Classify axes - stable_axes = [ - c + 1 for c in range(n_components) if avg_stability[c] >= stability_threshold - ] - unstable_axes = [ - c + 1 - for c in range(n_components) - if avg_stability[c] < stability_threshold * 0.5 - ] - reordered_axes = [ - c + 1 - for c in range(n_components) - if stability_threshold * 0.5 <= avg_stability[c] < stability_threshold - ] - - return { - "stability_matrix": stability_matrix, - "avg_stability": avg_stability, - "stable_axes": stable_axes, - "reordered_axes": reordered_axes, - "unstable_axes": unstable_axes, - "windows": window_list, - } - def compute_overtone_shift( con: duckdb.DuckDBPyConnection, @@ -798,6 +631,7 @@ def compute_semantic_drift( "window_after": w_after, "drift": float(drift), "median_drift": float(median_drift), + "transition_index": i + 1, } ) @@ -848,7 +682,7 @@ def compute_party_voting( # Get party votes for this window # Parse window year for date filtering - year = int(w.split("-")[0]) if "-" not in w else int(w.split("-Q")[0]) + year = int(w.split("-")[0]) year_start = f"{year}-01-01" year_end = f"{year}-12-31" @@ -932,10 +766,10 @@ def compute_party_voting( continue for motion_id in party_motions[party]: - if motion_id not in motion_scores: + if str(motion_id) not in motion_scores: continue - scores = motion_scores[motion_id] + scores = motion_scores[str(motion_id)] # Check if motion is ideologically opposite for axis in stable_axes: comp_idx = axis - 1 @@ -1044,7 +878,7 @@ def _generate_report( ax.set_yticks(range(len(windows))) ax.set_yticklabels(windows) ax.set_title(f"Axis {axis} Stability") - fig.colorbar(im, ax=ax, label="Jaccard Similarity") + fig.colorbar(im, ax=ax, label="Stability (cosine + Jaccard)") plt.tight_layout() fig_path = os.path.join(output_dir, "axis_stability.png") @@ -1079,9 +913,8 @@ def _generate_report( # Mark inflection points inflections = drift_result.get("inflection_points", {}).get(axis, []) for inf in inflections: - ax.axvline( - x=list(drift_series.keys()).index(axis) + 1, color="red", alpha=0.3 - ) + x_pos = inf.get("transition_index", 1) + ax.axvline(x=x_pos, color="red", alpha=0.3, linestyle="--") ax.set_xlabel("Window Transition") ax.set_ylabel("Cosine Distance")