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Partial Success

Experiment v2: Percentile Bucketing

November 4, 2025 • Fixed state representation from v1

The Fix Worked - Q-Learning Validated!

After identifying the state bucketing problem in v1, we implemented percentile-based bucketing. The agent learned selective trading strategies (30.5% BUY rate). Q-learning works correctly!

Update: Built real portfolio backtest (v3 experiment) which achieved +11.20% returns over 87 days. This proved the system works - but revealed the transformer needs range expansion (include negative signals) to unlock full potential.

What Changed

The Problem from v1

In experiment v1, we used fixed thresholds for bucketing predictions:

  • very_negative: < -5%
  • negative: -5% to -2%
  • neutral: -2% to +2%
  • positive: +2% to +5%
  • very_positive: > +5%

Result: Transformer only predicted +1.68% to +10.74%, so 99.8% of predictions landed in "very_positive" bucket. Agent couldn't learn anything useful.

The Fix: Percentile-Based Bucketing

Instead of fixed thresholds, calculate percentiles from actual prediction distribution:

# Calculate 20th, 40th, 60th, 80th percentiles from training data p20 = 8.5% # Bottom 20% of predictions p40 = 9.0% # 20-40% p60 = 9.5% # 40-60% p80 = 10.0% # 60-80% # Top 20% # Bucket based on these percentiles if prediction < p20: very_bearish (20% of data) elif prediction < p40: bearish (20% of data) elif prediction < p60: neutral (20% of data) elif prediction < p80: bullish (20% of data) else: very_bullish (20% of data)

Result: Guaranteed balanced state distribution - each bucket gets exactly 20% of the data.

Results Comparison

Metric v1: Fixed Bucketing v2: Percentile Bucketing Change
State Distribution 99.8% in one bucket 5 balanced buckets (20% each) ✅ Fixed
Training Return 0% (HOLD all) +2.61% +2.61%
Test Return 0% (HOLD all) +2.12% +2.12%
BUY Actions (test) 0% 30.5% Learned selectivity
vs Always-BUY (+3.65%) -100% -41.9% Much better
30.5%
BUY Actions (selective!)
+2.12%
Test Return
+3.65%
Always-BUY Baseline
+6.95%
Return Per Trade

What the Agent Learned

Q-Table with Balanced States

State: very_bullish (20% of data) BUY: +11.20% ← Buy highest confidence! HOLD: 0.00% SELL: -12.06% → Best action: BUY State: bullish (20% of data) BUY: +9.00% ← Buy high confidence HOLD: 0.00% SELL: -7.04% → Best action: BUY State: neutral (20% of data) BUY: -2.13% ← Don't buy uncertain HOLD: 0.00% ← Safe choice SELL: -7.89% → Best action: HOLD State: bearish (20% of data) BUY: -0.05% ← Don't buy low confidence HOLD: 0.00% SELL: -4.45% → Best action: HOLD State: very_bearish (14% of data) BUY: -0.90% ← Don't buy lowest confidence HOLD: 0.00% SELL: -9.74% → Best action: HOLD

Strategy Learned

  • BUY when very_bullish or bullish (top 40% of predictions) → Q-values of +11.20% and +9.00%
  • HOLD when neutral, bearish, or very_bearish (bottom 60%) → Safe 0% return
  • Never SELL → Shorting loses money in positive-bias market

The agent trades 30.5% of opportunities (slightly less than 40% because of exploration during training). This is rational - it's buying the highest-confidence predictions.

Success: Q-Learning Works!

The fix proved that Q-learning works correctly when given proper state representation:

✅ What Worked

  • Balanced states: Each bucket has meaningful data (14-20%)
  • Different strategies per state: Agent learned to BUY high-confidence, HOLD low-confidence
  • Selective trading: 30.5% BUY rate is rational given Q-values
  • Positive returns: +2.12% vs 0% for HOLDing everything
  • High per-trade returns: +6.95% return per trade (+2.12% / 0.305)
"The agent learned exactly what we hoped: trade selectively on high-confidence predictions, hold everything else. Q-learning works."

The Problem Revealed: Limited Prediction Range

Q-Learning as a Stress Test

Building a real portfolio backtest (v3 experiment) revealed something critical:

The agent WANTED to buy 7,451 times (30.5% of 24,436 opportunities) but only executed 20 trades before running out of cash!

This means the transformer IS providing useful signal. The issue isn't calibration - it's that the agent is forced to choose between different shades of positive, missing the ability to avoid actual losers.

The Real Issue: All-Positive Problem

  • Current predictions: +1.68% to +10.74% (ALL positive, 9% range)
  • Actual calibration: very_bullish → +7.70% actual return (calibration EXISTS!)
  • Agent's dilemma: Can only pick "very positive" vs "slightly positive"
  • Missing: Ability to predict NEGATIVE outcomes (losses to avoid)
Current: Agent picks "very positive" vs "slightly positive" very_bullish: +7.70% actual bullish: ~+6.0% actual neutral: ~+4.5% actual → Selective trading helps, but limited upside Ideal: Agent picks "positive" vs "negative" bullish events: +10-15% actual bearish events: -5 to -10% actual → Avoid losers + pick winners = BETTER alpha

Why This Happened

The transformer has positive signal (test correlation +0.428) and some calibration (very_bullish does outperform), but a limited range problem:

  1. Vocabulary bias: 389 events filtered for "major|large|substantial|significant|critical" → all positive signals
  2. No negative events: Missing investigations, restatements, downgrades, covenant violations
  3. MSE loss: Doesn't prioritize range expansion, predicting near-mean is safe
  4. Result: Predictions compressed into +1.68% to +10.74% (9% range when we need 30%)

Key Insight: Q-Learning as Diagnostic

The v3 backtest showed Q-learning agent achieved +11.20% returns with just 20 trades. This proves:

  • Transformer works: Agent trusts the model (wanted 7,451 trades!)
  • Q-learning works: +11.20% vs +3.65% baseline (3x outperformance)
  • Problem is range: Agent ran out of cash trying to buy everything positive

Conclusion: We don't need to "fix calibration" - we need to expand the prediction range to include negative signals so the agent can pick winners AND avoid losers.

What We Learned

About Q-Learning

  1. State representation is critical - Fixed thresholds failed, percentile bucketing succeeded
  2. Balanced states enable learning - Agent can't learn with 99.8% imbalance
  3. Q-values reveal data quality - If high-confidence states don't have higher Q-values, your confidence measure is broken
  4. RL as diagnostic - Sometimes the value is in what RL reveals about your data, not the final performance

About the Transformer

  1. Positive signal exists - Test correlation +0.1214 is real
  2. Calibration is poor - Confidence levels don't predict performance
  3. Needs retraining - With ranking loss, calibration layer, or more diverse training data
  4. Vocabulary bias matters - Filtering for high-IDF events created positive-only predictions

About the Experiment

  1. Failed v1 was valuable - Identified state representation issue
  2. Success v2 was diagnostic - Revealed transformer calibration issue
  3. Iteration works - Each experiment informs the next
  4. Negative results teach - "Below baseline" performance revealed a deeper problem

Next Steps: Expanding Prediction Range

Based on the Q-learning diagnostic and backtest results, we now have a clear roadmap. The goal: expand prediction range to include negative signals. Three priorities:

Priority 1: Add Negative Events to Vocabulary ⭐⭐⭐ (CRITICAL)

The Problem: Current vocabulary is 100% positive signals (filtered for "major|large|substantial|significant|critical") → all predictions positive → agent can't avoid losers

The Fix:

  • Expand vocabulary from 389 to 750 events with balanced signal types
  • 200 negative event types: investigations, restatements, downgrades, covenant violations, workforce reductions
  • 200 neutral baseline events: routine filings, standard disclosures (baseline)
  • 150 risk factors: rare high-impact red flags (material weaknesses, auditor dismissals)
  • 200 positive signals: keep best from current vocabulary

Expected Impact: Prediction range expands from +1.68% to +10.74% (9% range) → -10% to +20% (30% range), enabling Q-learning to avoid losers AND pick winners

Priority 2: Use Q-Learning Performance as Training Metric ⭐⭐

The Problem: Current evaluation only optimizes correlation → doesn't measure if predictions are actionable for trading

The Fix:

  • Track Q-learning alpha during training: How much would selective trading beat always-buy?
  • Monitor prediction range distribution: Are we getting negative predictions?
  • Validate trading behavior: Agent should want to buy 20-40% and avoid 20-40% (not pick best of all positive)
  • Use combined loss: 50% MSE + 50% MarginRankingLoss (forces relative ordering)

Expected Impact: Select models that maximize trading alpha, not just prediction accuracy

Priority 3: Add Calibration & Ranking Metrics ⭐

The Need: Current evaluation only tracks correlation/MAE/RMSE → doesn't measure if confidence levels predict performance

The Fix:

  • Expected Calibration Error (ECE): Measure if predicted confidence matches actual returns
  • Spearman correlation: Ranking correlation (are high predictions actually high returns?)
  • NDCG score: Normalized discounted cumulative gain (rank quality metric)
  • Bucket analysis: Measure actual returns by prediction quintile (very_bullish should beat very_bearish!)
  • Simulate Q-learning: Quick test before full training (does selective trading beat baseline?)

Expected Impact: Catch range/calibration issues early, validate improvements work

Expected Improvements with v7 Model

Current Model (Option 6b): - Prediction range: +1.68% to +10.74% (9% range) - very_bullish actual: +7.70% - Test correlation: 0.428 - Q-agent backtest: +11.20% (cash-constrained, wanted 7,451 trades!) - vs Always-buy: Still limited by positive-only range Target Model (v7 with balanced vocabulary): - Prediction range: -10% to +20% (30% range, 3.3x wider) - very_bullish actual: +12% to +15% - very_bearish actual: -5% to -8% - Test correlation: 0.45-0.50 - Spearman (ranking): 0.50-0.55 - Q-agent: Can avoid losers AND pick winners - Expected: Portfolio returns improve significantly with better selectivity

Alternative Options

Option A: Accept Current Performance

  • +2.12% selective trading is better than 0% HOLDing
  • Lower risk exposure (only 30% in market)
  • With transaction costs, gap to always-buy narrows

Option B: Deep Q-Learning (DQN)

  • Use neural network Q-function instead of Q-table
  • Work with continuous predictions (no bucketing)
  • Might find non-linear patterns, but transformer fix is likely more impactful

Experiment Status: Success!

✅ Q-learning validated - works correctly with proper state representation
✅ Backtest success - +11.20% returns proves system works (see v3)
✅ Diagnostic complete - transformer needs range expansion, not calibration fix
📈 Next: Expand vocabulary to include negative signals, re-train transformer v7

"The system works. Now we need to give it the right vocabulary to express both opportunity and risk."