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Multi-objective evolutionary optimization for per-metric percentile cutoffs and intersection-based config selection.
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Evolutionary Metric Ranking
Methodology for systematically zooming into high-quality configurations across multiple evaluation metrics using per-metric percentile cutoffs, intersection-based filtering, and evolutionary optimization. Domain-agnostic principles with quantitative trading case studies.
Self-Evolving Skill: This skill improves through use. If instructions are wrong, parameters drifted, or a workaround was needed — fix this file immediately, don't defer. Only update for real, reproducible issues.
When to Use This Skill
Use this skill when:
Ranking and filtering configs/strategies/models across multiple quality metrics
Searching for optimal per-metric thresholds that select the best subset
Identifying which metrics are binding constraints vs inert dimensions
Running multi-objective optimization (Optuna TPE / NSGA-II) over filter parameters
Performing forensic analysis on optimization results (universal champions, feature themes)
Designing a metric registry for pluggable evaluation systems
Core Principles
P1 - Percentile Ranks, Not Raw Values
Raw metric values live on incompatible scales (Kelly in [-1,1], trade count in [50, 5000], Omega in [0.8, 2.0]). Percentile ranking normalizes every metric to [0, 100], making cross-metric comparison meaningful.
Rule: scipy.stats.rankdata(method='average') scaled to [0, 100]
None/NaN/Inf -> percentile 0 (worst)
"Lower is better" metrics -> negate before ranking (100 = best)
Why average ties: Tied values receive the mean of the ranks they would span. This prevents artificial discrimination between genuinely identical values.
P2 - Independent Per-Metric Cutoffs
Each metric gets its own independently-tunable cutoff. cutoff=20 means "only configs in the top 20% survive this filter." This creates a 12-dimensional (or N-dimensional) search space where each axis controls one quality dimension.
cutoff=100 -> no filter (everything passes)
cutoff=50 -> top 50% survives
cutoff=10 -> top 10% survives (stringent)
cutoff=0 -> nothing passes
Why independent, not uniform: Different metrics have different discrimination power. Uniform tightening (all metrics at the same cutoff) wastes filtering budget on inert dimensions while under-filtering on binding constraints.
P3 - Intersection = Multi-Metric Excellence
A config survives the final filter only if it passes ALL per-metric cutoffs simultaneously. This intersection logic ensures no single-metric champion sneaks through with terrible performance elsewhere.
survivors = metric_1_pass AND metric_2_pass AND ... AND metric_N_pass
Why intersection, not scoring: Weighted-sum scoring hides metric failures. A config with 99th percentile Sharpe but 1st percentile regularity would score well in a weighted sum but is clearly deficient. Intersection enforces minimum quality across every dimension.
P4 - Start Wide Open, Tighten Evolutionarily
All cutoffs default to 100% (no filter). The optimizer progressively tightens cutoffs to find the combination that best satisfies the chosen objective. This is the opposite of starting strict and relaxing.
Initial state: All cutoffs = 100 (1008 configs survive)
After search: Each cutoff independently tuned (11 configs survive)
Why start wide: Starting strict risks missing the global optimum by immediately excluding configs that would survive under a different cutoff combination. Wide-to-narrow exploration is characteristic of global optimization.
P5 - Multiple Objectives Reveal Different Truths
No single objective function captures "quality." Run multiple objectives and compare survivor sets. Configs that survive all objectives are the most robust.
Objective
Asks
Reveals
max_survivors_min_cutoff
Most configs at tightest cutoffs?
Efficient frontier of quantity vs stringency
quality_at_target_n
Best quality in top N?
Optimal cutoffs for a target portfolio size
tightest_nonempty
Absolute tightest with >= 1 survivor?
Universal champion (sole survivor)
pareto_efficiency
Survivors vs tightness trade-off?
Full Pareto front (NSGA-II)
diversity_reward
Are cutoffs non-redundant?
Which metrics provide independent information
Cross-objective consistency: A config that appears in ALL objective survivor sets is the most defensible selection. One that appears in only one is likely an artifact of that objective's bias.
P6 - Binding Metrics Identification
After optimization, identify binding metrics - those that would increase the intersection if relaxed to 100%. Non-binding metrics are either already loose or perfectly correlated with a binding metric.
For each metric with cutoff < 100:
Relax this metric to 100, keep others fixed
If intersection grows: this metric IS binding
If intersection unchanged: this metric is redundant at current cutoffs
Why this matters: Binding metrics are the actual constraints on your quality frontier. Effort to improve configs should focus on binding dimensions.
P7 - Inert Dimension Detection
A metric is inert if it provides zero discrimination across the population. Detect this before optimization to reduce dimensionality.
If max(metric) == min(metric) across all configs: INERT
If percentile spread < 5 points: NEAR-INERT
Action: Remove inert metrics from the search space or permanently set their cutoff to 100. Including them wastes optimization budget.
P8 - Forensic Post-Analysis
After optimization, perform forensic analysis to extract actionable insights:
Universal champions - configs surviving ALL objectives
Feature frequency - which features appear most in survivors
Metric binding sequence - order in which metrics become binding as cutoffs tighten
Metric discrimination power - which metric kills the most configs at each tightening step
Architecture Pattern
Metric JSONL files (pre-computed)
|
v
MetricSpec Registry <-- Defines name, direction, source, cutoff var
|
v
Percentile Ranker <-- scipy.stats.rankdata, None->0, flip lower-is-better
|
v
Per-Metric Cutoff <-- Each metric independently filtered
|
v
Intersection <-- Configs passing ALL cutoffs
|
v
Evolutionary Search <-- Optuna TPE/NSGA-II tunes cutoffs
|
v
Forensic Analysis <-- Cross-objective consistency, binding metrics
MetricSpec Registry
The registry is the single source of truth for metric definitions. Each entry is a frozen dataclass:
@dataclass(frozen=True)classMetricSpec:
name: str# Internal key (e.g., "tamrs")
label: str# Display label (e.g., "TAMRS")
higher_is_better: bool# Direction for percentile ranking
default_cutoff: int# Default percentile cutoff (100 = no filter)
source_file: str# JSONL filename containing raw values
source_field: str# Field name in JSONL records
Design principle: Adding a new metric = adding one MetricSpec entry. No other code changes required. The ranking, cutoff, intersection, and optimization machinery is fully generic.
Env Var Convention
Each metric's cutoff is controlled by a namespaced environment variable:
Copy-paste of optimizer output directly into next run
CI/CD integration via environment configuration
Mise task integration via [env] blocks
Evolutionary Optimizer Design
Sampler Selection
Scenario
Sampler
Why
Single-objective
TPE (Tree-Parzen Estimator)
Bayesian, handles integer/categorical, good for 10-20 dimensions
Multi-objective (2+)
NSGA-II
Pareto-frontier discovery, population-based
Determinism: Always seed the sampler (seed=42). Optimization results must be reproducible.
Search Space Design
defsuggest_cutoffs(trial):
cutoffs = {}
for spec in metric_registry:
cutoffs[spec.name] = trial.suggest_int(spec.name, 5, 100, step=5)
return cutoffs
Why step=5: Reduces the search space by 20x (20 values per metric vs 100) while maintaining sufficient granularity. For 12 metrics, this is 20^12 = 4 x 10^15 vs 100^12 = 10^24.
Why lower bound = 5: cutoff=0 always produces empty intersection. Values below 5 are too stringent to be useful in practice.
Data Pre-Loading (Critical Performance Pattern)
# Load metric data ONCE, share across all trials
metric_data = load_metric_data(results_dir, metric_registry)
defobjective(trial):
cutoffs = suggest_cutoffs(trial)
# Pass pre-loaded data - avoids disk I/O per trial
result = run_ranking_with_cutoffs(cutoffs, metric_data=metric_data)
return obj_fn(result, cutoffs)
Why: Each trial evaluates in ~6ms when data is pre-loaded (pure NumPy/set operations). Without pre-loading, each trial incurs ~50ms of disk I/O. At 10,000 trials, this is 60 seconds vs 500 seconds.
Objective Function Patterns
Pattern 1 - Ratio Optimization
defobj_max_survivors_min_cutoff(result, cutoffs):
n = result["n_intersection"]
if n == 0:
return0.0
mean_cutoff = sum(cutoffs.values()) / len(cutoffs)
return n / mean_cutoff # More survivors per unit of looseness
Use when: Exploring the efficiency frontier - how much quality can you get for how much filtering?
Pattern 2 - Constrained Quality
defobj_quality_at_target_n(result, cutoffs, target_n=10):
n = result["n_intersection"]
avg_pct = result["avg_percentile"]
if n < target_n:
return avg_pct * (n / target_n) # Partial creditreturn avg_pct # Full credit: maximize quality
Use when: You have a target portfolio size and want the highest quality subset.
Pattern 3 - Minimum Budget
defobj_tightest_nonempty(result, cutoffs):
n = result["n_intersection"]
if n == 0:
return0.0
total_budget = sum(cutoffs.values())
return max_possible_budget - total_budget # Lower budget = better
Use when: Finding the single most universally excellent config.
Pattern 4 - Diversity Reward
defobj_diversity_reward(result, cutoffs):
n = result["n_intersection"]
if n == 0:
return0.0
n_binding = result["n_binding_metrics"]
n_active = sum(1for v in cutoffs.values() if v < 100)
if n_active == 0:
return0.0
efficiency = n_binding / n_active
return n * efficiency
Use when: Ensuring that tightened cutoffs provide independent information, not redundant filtering.
Pattern 5 - Pareto (Multi-Objective)
study = optuna.create_study(
directions=["maximize", "minimize"], # max survivors, min cutoff
sampler=optuna.samplers.NSGAIISampler(seed=42),
)
defobjective(trial):
cutoffs = suggest_cutoffs(trial)
result = run_ranking_with_cutoffs(cutoffs, metric_data=metric_data)
return result["n_intersection"], sum(cutoffs.values()) / len(cutoffs)
Use when: You want to see the full trade-off landscape between two competing objectives.
Forensic Analysis Protocol
After running all objectives, perform this analysis:
Step 1 - Cross-Objective Survivor Sets
For each objective:
survivors_{objective} = set of configs in final intersection
universal_champions = survivors_1 AND survivors_2 AND ... AND survivors_K
If a config survives all K objective functions, it is robust to objective choice.
Step 2 - Feature Theme Extraction
Count feature appearances across all survivors:
feature_counts = Counter()
for config_id in quality_survivors:
for feature in config_id.split("__"):
feature_counts[feature.split("_")[0]] += 1
Dominant features reveal the underlying market microstructure that the ranking system is selecting for.
Step 3 - Uniform Tightening Curve
Apply the same cutoff to ALL metrics and plot intersection size:
Template A - Implement Ranking System (New Project)
1. [Preflight] Identify all evaluation metrics and their JSONL sources
2. [Preflight] Define MetricSpec registry (name, direction, source_file, source_field)
3. [Execute] Implement percentile_ranks() with scipy.stats.rankdata
4. [Execute] Implement apply_cutoff() and intersection()
5. [Execute] Add env var override for each metric cutoff (RANK_CUT_{NAME})
6. [Execute] Create run_ranking_with_cutoffs() API for optimizer
7. [Execute] Add binding metric detection and tightening analysis
8. [Execute] Write markdown report generator
9. [Verify] Unit tests for all pure functions (14+ tests)
10. [Verify] Run with default cutoffs (100%) - all configs should survive
Template B - Add Evolutionary Optimizer
1. [Preflight] Verify ranking module has run_ranking_with_cutoffs() API
2. [Preflight] Add optuna>=4.7 dependency
3. [Execute] Implement 5 objective functions
4. [Execute] Create suggest_cutoffs() with step=5 search space
5. [Execute] Pre-load metric data once, share across trials
6. [Execute] Handle pareto_efficiency (NSGA-II) as special case
7. [Execute] Write JSONL output with provenance (git commit, timestamp)
8. [Verify] POC with 10 trials - verify non-trivial cutoffs found
9. [Verify] Full run with 10K trials per objective
Template C - Forensic Analysis
1. [Preflight] Collect optimization results from all 5 objectives
2. [Execute] Extract survivor sets per objective
3. [Execute] Compute cross-objective intersection (universal champions)
4. [Execute] Run uniform tightening analysis (100% -> 5%)
5. [Execute] Identify binding metrics at each tightening step
6. [Execute] Extract feature themes from quality survivors
7. [Execute] Detect inert dimensions (zero discrimination)
8. [Verify] Document findings in structured summary table
Post-Change Checklist (Self-Maintenance)
After modifying this skill:
Principles P1-P8 remain internally consistent
Anti-patterns table covers new patterns discovered
References in references/ are up to date
Case study reflects latest production results
Implementation checklist is complete and ordered
Plugin README updated if description changed
Troubleshooting
Issue
Cause
Solution
All cutoffs converge to 100%
Metrics are all correlated
Check for metric redundancy (Spearman r > 0.95)
Zero intersection at mild cutoffs
One metric has near-zero variance
Detect inert dimensions (P7)
Optimizer takes too long
Disk I/O per trial
Pre-load metric data (see Performance section)
Different objectives give same answer
Objectives poorly differentiated
Verify objective formulas test different trade-offs
Universal champion is mediocre
Survival != excellence
Check raw values, not just survival
Binding sequence changes across runs
Unseeded optimizer
Always use seed=42
Too many survivors
Cutoffs too loose
Increase n_trials, lower step size
Zero survivors
Cutoffs too tight
Check for inert metrics inflating dimensionality
Post-Execution Reflection
After this skill completes, reflect before closing the task:
Locate yourself. — Find this SKILL.md's canonical path (Glob for this skill's name) before editing. All corrections target THIS file and its sibling references/ — never other documentation.
What failed? — Fix the instruction that caused it. If it could recur, add it as an anti-pattern.
What worked better than expected? — Promote it to recommended practice. Document why.
What drifted? — Any script, reference, or external dependency that no longer matches reality gets fixed now.
Log it. — Every change gets an evolution-log entry with trigger, fix, and evidence.
Do NOT defer. The next invocation inherits whatever you leave behind