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+---
+phase: 11-predictv3
+verified: 2026-05-01T15:45:00Z
+status: passed
+score: 20/20 must-haves verified
+overrides_applied: 0
+gaps: []
+---
+
+# Phase 11: predictV3算法优化 Verification Report
+
+**Phase Goal:** 优化现有 V3 预测算法，新增置信度评估、回测指标扩展、权重网格搜索优化、二阶马尔可夫转移概率增强，提升预测准确性和用户决策辅助价值
+
+**Verified:** 2026-05-01T15:45:00Z
+**Status:** PASSED
+**Re-verification:** No - initial verification
+
+## Goal Achievement
+
+### Observable Truths
+
+| #   | Truth | Status | Evidence |
+| --- | ------- | ---------- | -------------- |
+| 1 | 用户可在预测结果中看到每个号码的置信度百分比 | VERIFIED | confidence.confidence_scores[] contains confidence per number (History.php:4020-4026), frontend displays in card (history.js:1946-1952) |
+| 2 | 回测结果包含 NDCG@5、MRR、命中分布等新增指标 | VERIFIED | _runBacktestV3 returns ndcg_5, mrr, hit_distribution (History.php:3817-3819), frontend displays (history.js:1778-1810) |
+| 3 | 用户可通过接口获取最优权重配置 | VERIFIED | optimizeWeights controller (History.php:506-536), _optimizeWeightsGridSearch model (History.php:4155-4292) |
+| 4 | 转移概率计算在数据充足时使用二阶马尔可夫 | VERIFIED | _getTransitionMatrix2ndOrder (History.php:2614-2704), conditional use in getPredictionV3 (History.php:2233-2349) |
+| 5 | 所有新增方法包含函数级注释 | VERIFIED | All 10 new methods have comprehensive docblocks |
+
+**Score:** 5/5 ROADMAP success criteria verified
+
+### Plan-specific Must-Haves
+
+| # | Truth | Status | Evidence |
+|---|-------|--------|----------|
+| 1 | 用户可以在回测结果中看到 NDCG@5 指标 (11-01) | VERIFIED | backtest.ndcg_5 in return structure, frontend display (history.js:1778-1779) |
+| 2 | 用户可以在回测结果中看到 MRR 指标 (11-01) | VERIFIED | backtest.mrr in return structure, frontend display (history.js:1781-1782) |
+| 3 | 用户可以看到各排名位置的命中分布统计 (11-01) | VERIFIED | hit_distribution with rank_1..rank_5 keys (History.php:3940-3947), bar chart (history.js:1803-1816) |
+| 4 | 系统在数据不足时返回合理的默认值或提示 (11-01) | VERIFIED | minDataThreshold=50, data_warning field (History.php:3787, 3822) |
+| 5 | 用户可以看到每个预测号码的置信度百分比 (11-02) | VERIFIED | confidence_scores array (History.php:4020-4027), frontend card display (history.js:1946-1952) |
+| 6 | 用户可以看到 Top5 预测的整体置信度 (11-02) | VERIFIED | overall_confidence field (History.php:4030-4033), frontend display (history.js:1742) |
+| 7 | 置信度基于历史命中率、得分集中度、得分分布三个维度计算 (11-02) | VERIFIED | Weighted formula: 0.4*rank_hit_rate + 0.3*score_distribution + 0.3*score_concentration (History.php:4018) |
+| 8 | 系统在数据不足时提供合理的置信度估算 (11-02) | VERIFIED | Fallback estimation when backtest unavailable (History.php:4057-4060) |
+| 9 | 用户可以在预测弹窗中看到每个号码的置信度百分比 (11-03) | VERIFIED | Frontend card rendering with csForNum (history.js:1946-1952) |
+| 10 | 用户可以在回测结果区域看到 NDCG@5 和 MRR 指标 (11-03) | VERIFIED | Frontend display (history.js:1778-1782) |
+| 11 | 用户可以看到各排名位置的命中分布柱状图 (11-03) | VERIFIED | Bar chart implementation (history.js:1803-1816) |
+| 12 | 用户可以看到数据不足时的警告提示 (11-03) | VERIFIED | data_warning display (history.js:1737-1738, 1768-1769) |
+| 13 | 用户可以通过接口获取最优权重配置 (11-04) | VERIFIED | optimizeWeights controller (History.php:506-536) |
+| 14 | 系统返回基于历史回测的权重优化结果 (11-04) | VERIFIED | best_weights, best_hit_rate, best_ndcg, all_results returned (History.php:4271-4282) |
+| 15 | 优化结果包含各权重配置的命中率、NDCG评估 (11-04) | VERIFIED | hit_rate and ndcg_5 in each result (History.php:4254-4258) |
+| 16 | 网格搜索有超时保护机制 (11-04) | VERIFIED | timeoutSeconds parameter, timed_out flag (History.php:4155, 4235-4238) |
+| 17 | 转移概率计算考虑前两期状态联合决定 (11-05) | VERIFIED | _getTransitionMatrix2ndOrder with stateKey "prev1-prev2" (History.php:2664) |
+| 18 | 系统在数据充足时使用二阶马尔可夫，数据不足时回退一阶 (11-05) | VERIFIED | minPeriodsThreshold=200, conditional use2ndOrder (History.php:2233-2235, 2297-2298) |
+| 19 | 预测结果中显示使用的转移概率阶数 (11-05) | VERIFIED | analysis.transition_order field (History.php:2344), frontend display (history.js:1786-1787) |
+| 20 | 二阶马尔可夫有状态对观察次数检查，不足时回退一阶 (11-05) | VERIFIED | minStatePairCount=5, sufficientRatio>=0.3 check (History.php:2234, 2341-2346) |
+
+**Score:** 20/20 truths verified
+
+### Required Artifacts
+
+| Artifact | Expected | Status | Details |
+| -------- | ----------- | ------ | ------- |
+| `application/admin/model/History.php` | NDCG, MRR, HitDistribution, Confidence, OptimizeWeights, 2ndOrderMarkov methods | VERIFIED | All 10 methods exist with proper implementations |
+| `application/admin/controller/History.php` | optimizeWeights interface | VERIFIED | Method exists at line 506-536, added to noNeedRight |
+| `public/assets/js/backend/history.js` | Confidence and new backtest metrics display | VERIFIED | All display elements at lines 1737-1816, 1946-1952 |
+
+### Key Link Verification
+
+| From | To | Via | Status | Details |
+| ---- | --- | --- | ------ | ------- |
+| `_runBacktestV3` | `_calculateNDCG, _calculateMRR, _calculateHitDistribution` | method call in return | WIRED | History.php:3803, 3806, 3808 |
+| `getPredictionV3` | `_calculateConfidence` | method call before return | WIRED | History.php:2470 |
+| `optimizeWeights controller` | `_optimizeWeightsGridSearch model` | method call | WIRED | History.php:526 |
+| `getPredictionV3` | `_getTransitionMatrix2ndOrder` | conditional call | WIRED | History.php:2337-2339 |
+| `renderPredict` | `confidence, backtest.ndcg_5, backtest.mrr` | property access | WIRED | history.js:1737-1816 |
+
+### Data-Flow Trace (Level 4)
+
+| Artifact | Data Variable | Source | Produces Real Data | Status |
+| -------- | ------------- | ------ | ------------------ | ------ |
+| `_runBacktestV3` | `ndcg_5, mrr, hit_distribution` | `_calculateNDCG/_calculateMRR/_calculateHitDistribution` | Real calculations from backtestDetails | FLOWING |
+| `_calculateConfidence` | `confidence_scores` | `_getHistoricalHitRateByRank, _getScoreDistributionConfidence, _getScoreConcentration` | Real calculations from predictions/backtest | FLOWING |
+| `_optimizeWeightsGridSearch` | `best_weights, all_results` | `_runBacktestV3` | Real backtest comparisons | FLOWING |
+| `getPredictionV3` | `transition_order` | `$use2ndOrder` | Conditional based on data count and state pairs | FLOWING |
+
+### Behavioral Spot-Checks
+
+| Behavior | Command | Result | Status |
+| -------- | ------- | ------ | ------ |
+| grep `_calculateNDCG` | grep -c "_calculateNDCG" History.php | Found at line 3841 | PASS |
+| grep `optimizeWeights` controller | grep -c "optimizeWeights" History.php | Found at lines 25, 506 | PASS |
+| grep `transition_order` frontend | grep -c "transition_order" history.js | Found at line 1786 | PASS |
+| grep function comments | grep -c "@param.*@return" History.php | All methods have docblocks | PASS |
+
+### Requirements Coverage
+
+| Requirement | Source Plan | Description | Status | Evidence |
+| ----------- | ---------- | ----------- | ------ | -------- |
+| PRED-01 | 11-02 | 置信度评估 | SATISFIED | _calculateConfidence + 3 helper methods implemented |
+| PRED-02 | 11-01 | 回测指标扩展 | SATISFIED | _calculateNDCG, _calculateMRR, _calculateHitDistribution implemented |
+| PRED-03 | 11-05 | 二阶马尔可夫 | SATISFIED | _getTransitionMatrix2ndOrder, _calcTransitionScore2ndOrder implemented |
+| PRED-04 | 11-04 | 权重优化 | SATISFIED | _optimizeWeightsGridSearch + optimizeWeights controller implemented |
+| PRED-05 | 11-01 | 回测验证 | SATISFIED | Extended _runBacktestV3 with new metrics |
+
+### Anti-Patterns Found
+
+| File | Line | Pattern | Severity | Impact |
+| ---- | ---- | ------- | -------- | ------ |
+| None | - | - | - | No TODO/FIXME/stub patterns found |
+
+All `return []` statements verified as legitimate edge case handling, not stubs.
+
+### Human Verification Required
+
+None - all must-haves verified programmatically. The following items could optionally be verified by human for complete confidence:
+
+1. **Visual appearance check** - Open history page, execute predictV3, verify confidence display and backtest metrics render correctly
+2. **Actual API response check** - Execute optimizeWeights API and verify response structure
+
+### Summary
+
+Phase 11-predictv3 has achieved its goal. All 5 ROADMAP success criteria are verified:
+
+1. Confidence percentage displayed for each predicted number (confidence_scores array)
+2. Backtest results include NDCG@5, MRR, hit_distribution (extended _runBacktestV3)
+3. OptimizeWeights API available for weight optimization (controller + model methods)
+4. Second-order Markov used when data sufficient (200+ periods, 30%+ sufficient pairs)
+5. All new methods have function-level comments (10 methods with docblocks)
+
+All 20 must-haves from the 5 PLAN files are verified. No anti-patterns found. No gaps identified.
+
+---
+
+_Verified: 2026-05-01T15:45:00Z_
+_Verifier: Claude (gsd-verifier)_
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