Agent Conversation: google/gemini-3.1-pro-preview

Model: google/gemini-3.1-pro-preview
Total steps: 5
Messages: 14
UserStep 0

Task: optimization-hyperparameter-search

Hyperparameter Optimization: Custom Search Strategy Design

Research Question

Design a novel hyperparameter optimization (HPO) strategy that achieves better final validation scores and faster convergence than standard approaches like Random Search, TPE, Hyperband, and their combinations (BOHB, DEHB).

Background

Hyperparameter optimization is a fundamental problem in machine learning: given a model and dataset, find the hyperparameter configuration that maximizes validation performance within a limited evaluation budget. This is a black-box optimization problem where each function evaluation (training + validation) is expensive.

Classic strategies include:

  • Random Search: Samples configurations uniformly. Simple but surprisingly effective, especially when some hyperparameters are more important than others (Bergstra & Bengio, 2012).
  • TPE (Tree-structured Parzen Estimator): Models p(x|y<y*) and p(x|y>=y*) using kernel density estimation and maximizes their ratio (Bergstra et al., 2011).
  • Hyperband: Uses multi-fidelity evaluation (early stopping) with successive halving to allocate resources to promising configurations (Li et al., 2017).

State-of-the-art methods combine these ideas:

  • BOHB: Replaces random sampling in Hyperband with TPE-guided suggestions (Falkner et al., 2018).
  • DEHB: Uses Differential Evolution within Hyperband's multi-fidelity framework (Awad et al., 2021).
  • CMA-ES: Adapts a full covariance matrix of a Gaussian distribution for efficient continuous optimization (Hansen & Ostermeier, 2001).

There is ongoing research into strategies that better adapt to the optimization landscape, leverage multi-fidelity evaluations more effectively, or combine model-based search with evolutionary approaches.

Task

Implement a custom HPO strategy by modifying the CustomHPOStrategy class in scikit-learn/custom_hpo.py. You should implement both __init__ and suggest methods. The class is called repeatedly in a sequential loop where each call proposes one configuration to evaluate.

Interface

class CustomHPOStrategy:
    def __init__(self, seed: int = 42):
        """Initialize the strategy with a random seed."""
        self.seed = seed
        self.rng = np.random.RandomState(seed)

    def suggest(
        self,
        space: SearchSpace,
        history: List[Trial],
        budget_left: int,
    ) -> Tuple[Dict[str, Any], float]:
        """Propose the next configuration to evaluate.

        Args:
            space: SearchSpace with .params (list of HParam), .dim,
                   .sample_uniform(rng), .clip(config)
            history: list of Trial(config, score, budget) from past evals
            budget_left: remaining budget in full-fidelity units

        Returns:
            config: dict mapping hyperparameter names to values
            fidelity: float in (0, 1] for multi-fidelity evaluation
        """

The search space pro

AssistantStep 1edit
Tool Input
1{
2  "op": "replace",
3  "end_line": 326,
4  "filename": "scikit-learn/custom_hpo.py",
5  "content": "class CustomHPOStrategy:\n    \"\"\"Surrogate-assisted ASHA (MF-SMAC).\"\"\"\n\n    def __init__(self, seed: int = 42):\n        self.seed = seed\n        self.rng = np.random.RandomState(seed)\n        self.f_levels = [0.11, 0.33, 1.0]\n        self.eta = 3\n\n    def _hash_cfg(self, config):\n        return str(sorted(config.items()))\n\n    def _encode(self, config, space):\n        vec = []\n        for p in space.params:\n            val = config[p.name]\n            if p.type == \"categorical\":\n                idx = p.choices.index(val)\n                vec.append(idx / max(len(p.choices) - 1, 1))\n            elif p.type in (\"float\", \"int\"):\n                if p.log_scale:\n                    v = (np.log(val) - np.log(p.low)) / (np.log(p.high) - np.log(p.low))\n                else:\n                    v = (val - p.low) / (p.high - p.low)\n                vec.append(float(np.clip(v, 0, 1)))\n        return np.array(vec)\n\n    def suggest(\n        self,\n        space: SearchSpace,\n        history: List[Trial],\n        budget_left: int,\n    ) -> Tuple[Dict[str, Any], float]:\n        import math\n        from sklearn.ensemble import RandomForestRegressor\n        \n        # 1. Group history by level\n        level_histories = {f: [] for f in self.f_levels}\n        for t in history:\n            closest_f = min(self.f_levels, key=lambda f: abs(f - t.budget))\n            level_histories[closest_f].append(t)\n            \n        # 2. Check for promotions (top-down)\n        for i in range(len(self.f_levels) - 2, -1, -1):\n            f_curr = self.f_levels[i]\n            f_next = self.f_levels[i+1]\n            \n            curr_hist = level_histories[f_curr]\n            next_hist = level_histories[f_next]\n            \n            if not curr_hist:\n                continue\n                \n            next_hashes = {self._hash_cfg(t.config) for t in next_hist}\n            eligible = [t for t in curr_hist if self._hash_cfg(t.config) not in next_hashes]\n            \n            if eligible:\n                sorted_curr = sorted(curr_hist, key=lambda x: x.score, reverse=True)\n                n_promote = max(1, math.ceil(len(curr_hist) / self.eta))\n                top_configs = sorted_curr[:n_promote]\n                top_hashes = {self._hash_cfg(t.config) for t in top_configs}\n                \n                promotable = [t for t in eligible if self._hash_cfg(t.config) in top_hashes]\n                if promotable:\n                    best_promotable = max(promotable, key=lambda x: x.score)\n                    return best_promotable.config.copy(), f_next\n\n        # 3. No promotions, sample new config at the lowest level\n        if len(history) < 5:\n            return space.sample_uniform(self.rng), self.f_levels[0]\n\n        # Use Random Forest BO to suggest new configuration\n        X_train = []\n        y_train = []\n        for t in history:\n            row = list(self._encode(t.config, space))\n            row.append(t.budget)\n            X_train.append(row)\n            y_train.append(t.score)\n            \n        rf = RandomForestRegressor(n_estimators=50, random_state=self.seed)\n        rf.fit(X_train, y_train)\n        \n        high_scores = [t.score for t in history if abs(t.budget - 1.0) < 1e-3]\n        best_high = max(high_scores) if high_scores else max(y_train)\n        \n        candidates = []\n        for _ in range(100):\n            candidates.append(space.sample_uniform(self.rng))\n            \n        top_history = sorted(history, key=lambda t: t.score, reverse=True)[:3]\n        for t in top_history:\n            for _ in range(33):\n                mutated = t.config.copy()\n                n_mut = self.rng.randint(1, max(2, space.dim // 2 + 1))\n                params_to_mut = self.rng.choice(space.params, n_mut, replace=False)\n                for p in params_to_mut:\n                    if p.type == \"categorical\":\n                        mutated[p.name] = self.rng.choice(p.choices)\n                    elif p.type == \"float\":\n                        if p.log_scale:\n                            val = np.log(mutated[p.name])\n                            val += self.rng.randn() * (np.log(p.high) - np.log(p.low)) * 0.1\n                            mutated[p.name] = float(np.clip(np.exp(val), p.low, p.high))\n                        else:\n                            val = mutated[p.name]\n                            val += self.rng.randn() * (p.high - p.low) * 0.1\n                            mutated[p.name] = float(np.clip(val, p.low, p.high))\n                    elif p.type == \"int\":\n                        if p.log_scale:\n                            val = np.log(mutated[p.name])\n                            val += self.rng.randn() * (np.log(p.high) - np.log(p.low)) * 0.1\n                            mutated[p.name] = int(round(np.clip(np.exp(val), p.low, p.high)))\n                        else:\n                            val = mutated[p.name]\n                            val += self.rng.randn() * (p.high - p.low) * 0.1\n                            mutated[p.name] = int(round(np.clip(val, p.low, p.high)))\n                candidates.append(mutated)\n                \n        X_cands = []\n        for c in candidates:\n            row = list(self._encode(c, space))\n            row.append(1.0)\n            X_cands.append(row)\n            \n        X_cands = np.array(X_cands)\n        preds = np.array([tree.predict(X_cands) for tree in rf.estimators_])\n        mean_pred = preds.mean(axis=0)\n        std_pred = preds.std(axis=0)\n        \n        with np.errstate(divide='ignore', invalid='ignore'):\n            z = (mean_pred - best_high) / (std_pred + 1e-9)\n            ei = (mean_pred - best_high) * scipy_norm.cdf(z) + std_pred * scipy_norm.pdf(z)\n        ei[std_pred == 0.0] = 0.0\n        \n        best_idx = int(np.argmax(ei))\n        return candidates[best_idx], self.f_levels[0]",
6  "start_line": 255
7}
Tool ResultStep 1
OK: Replaced lines 255..326 with 137 line(s) in scikit-learn/custom_hpo.py. Editable range: 255–391.

[Current file: scikit-learn/custom_hpo.py | editable: 255–391 | total: 520 lines]
   252| # ================================================================
   253| 
   254| 
   255  class CustomHPOStrategy:
   256      """Surrogate-assisted ASHA (MF-SMAC)."""
   257  
   258      def __init__(self, seed: int = 42):
   259          self.seed = seed
   260          self.rng = np.random.RandomState(seed)
   261          self.f_levels = [0.11, 0.33, 1.0]
   262          self.eta = 3
   263  
   264      def _hash_cfg(self, config):
   265          return str(sorted(config.items()))
   266  
   267      def _encode(self, config, space):
   268          vec = []
   269          for p in space.params:
   270              val = config[p.name]
   271              if p.type == "categorical":
   272                  idx = p.choices.index(val)
   273                  vec.append(idx / max(len(p.ch
AssistantStep 2test
AssistantStep 1edit
Tool Input
1{
2  "content": "class CustomHPOStrategy:\n    def __init__(self, seed: int = 42):\n        self.seed = seed\n        self.rng = np.random.RandomState(seed)\n        self.rungs = [0.12, 0.33, 1.0]\n        self.eta = 3\n\n    def _encode(self, c, s):\n        v = []\n        for p in s.params:\n            val = c[p.name]\n            if p.type == \"categorical\":\n                v.extend([1.0 if val == ch else 0.0 for ch in p.choices])\n            else:\n                low, high, val = p.low, p.high, val\n                if p.log_scale:\n                    low, high, val = np.log(low), np.log(high), np.log(val)\n                v.append(float(np.clip((val - low) / (high - low), 0., 1.)))\n        return np.array(v)\n\n    def _mutate(self, c, s):\n        nc = c.copy()\n        for p in s.params:\n            if self.rng.rand() < 0.2:\n                if p.type == \"categorical\":\n                    nc[p.name] = self.rng.choice(p.choices)\n                else:\n                    low, high = (np.log(p.low), np.log(p.high)) if p.log_scale else (p.low, p.high)\n                    val = np.log(nc[p.name]) if p.log_scale else nc[p.name]\n                    val = np.clip(val + self.rng.randn() * (high - low) * 0.15, low, high)\n                    val = np.exp(val) if p.log_scale else val\n                    nc[p.name] = int(round(val)) if p.type == \"int\" else float(val)\n        return nc\n\n    def suggest(self, space: SearchSpace, history: List[Trial], budget_left: int) -> Tuple[Dict[str, Any], float]:\n        evals = {r: [] for r in self.rungs}\n        for t in history:\n            evals[min(self.rungs, key=lambda r: abs(r - t.budget))].append(t)\n            \n        def keys(cfg): return tuple(sorted(cfg.items()))\n        \n        for i in range(len(self.rungs) - 1, 0, -1):\n            prev = sorted(evals[self.rungs[i-1]], key=lambda t: t.score, reverse=True)\n            promoted = set()\n            for r in self.rungs[i:]:\n                promoted.update({keys(t.config) for t in evals[r]})\n            for rank, t in enumerate(prev):\n                if rank < len(prev) // self.eta and keys(t.config) not in promoted:\n                    return t.config.copy(), float(self.rungs[i])\n        \n        if len(history) < 5:\n            return space.sample_uniform(self.rng), float(self.rungs[0])\n            \n        from sklearn.ensemble import RandomForestRegressor\n        X = np.array([list(self._encode(t.config, space)) + [t.budget] for t in history])\n        y = np.array([t.score for t in history])\n        rf = RandomForestRegressor(n_estimators=50, random_state=self.seed)\n        rf.fit(X, (y - y.mean()) / (y.std() + 1e-6))\n        \n        cands = [space.sample_uniform(self.rng) for _ in range(200)]\n        for bt in sorted(history, key=lambda t: t.score, reverse=True)[:5]:\n            cands.extend([self._mutate(bt.config, space) for _ in range(40)])\n            \n        X_c = np.array([list(self._encode(c, space)) + [1.0] for c in cands])\n        preds = np.array([tree.predict(X_c) for tree in rf.estimators_])\n        acq = preds.mean(axis=0) + 1.5 * (preds.std(axis=0) + 1e-6)\n        \n        return cands[int(np.argmax(acq))], float(self.rungs[0])",
3  "filename": "scikit-learn/custom_hpo.py",
4  "end_line": 326,
5  "start_line": 255,
6  "op": "replace"
7}
Tool ResultStep 1
OK: Replaced lines 255..326 with 68 line(s) in scikit-learn/custom_hpo.py. Editable range: 255–322.

[Current file: scikit-learn/custom_hpo.py | editable: 255–322 | total: 451 lines]
   252| # ================================================================
   253| 
   254| 
   255  class CustomHPOStrategy:
   256      def __init__(self, seed: int = 42):
   257          self.seed = seed
   258          self.rng = np.random.RandomState(seed)
   259          self.rungs = [0.12, 0.33, 1.0]
   260          self.eta = 3
   261  
   262      def _encode(self, c, s):
   263          v = []
   264          for p in s.params:
   265              val = c[p.name]
   266              if p.type == "categorical":
   267                  v.extend([1.0 if val == ch else 0.0 for ch in p.choices])
   268              else:
   269                  low, high, val = p.low, p.high, val
   270                  if p.log_scale:
   271                      low, high, val = np.log(low), np.log(high), np.log(val)
AssistantStep 2test
Tool ResultStep 2
[Test #1] (2 tests remaining; call submit(n=1) to submit this result)

### xgboost (scripts/xgboost.sh)
Training progress (last evaluations):
TRAIN_METRICS eval=190 cost=47.0/50 best_score=-0.393870 elapsed=1548.6s
TRAIN_METRICS eval=195 cost=47.8/50 best_score=-0.393870 elapsed=1562.2s
TRAIN_METRICS eval=200 cost=48.6/50 best_score=-0.393870 elapsed=1583.8s
TRAIN_METRICS eval=205 cost=49.4/50 best_score=-0.393870 elapsed=1612.6s
TRAIN_METRICS eval=207 cost=50.8/50 best_score=-0.391863 elapsed=1644.0s
Test results (xgboost):
  best_val_score: -0.391863
  convergence_auc: 0.914665
  total_evals: 207.000000

### svm (scripts/svm.sh)
Training progress (last evaluations):
TRAIN_METRICS eval=150 cost=34.8/40 best_score=0.975423 elapsed=4.8s
TRAIN_METRICS eval=155 cost=35.6/40 best_score=0.975423 elapsed=4.9s
TRAIN_METRICS eval=160 cost=37.3/40 best_score=0.975423 elapsed=5.1s
TRAIN_METRICS eval=165 cost=38.1/40 best_score=0.975423 elapsed=5.3s
TRAIN_METRICS eval=170 cost=40.0/40 best_score=
AssistantStep 3edit
Tool Input
1{
2  "start_line": 255,
3  "op": "replace",
4  "content": "class CustomHPOStrategy:\n    def __init__(self, seed: int = 42):\n        self.seed = seed\n        self.rng = np.random.RandomState(seed)\n        self.rungs = [0.25, 1.0]\n        self.eta = 2\n\n    def _encode(self, c, s):\n        v = []\n        for p in s.params:\n            val = c[p.name]\n            if p.type == \"categorical\":\n                v.extend([1.0 if val == ch else 0.0 for ch in p.choices])\n            else:\n                low, high, val = p.low, p.high, val\n                if p.log_scale:\n                    low, high, val = np.log(low), np.log(high), np.log(val)\n                v.append(float(np.clip((val - low) / (high - low), 0., 1.)))\n        return np.array(v)\n\n    def _mutate(self, c, s):\n        nc = c.copy()\n        for p in s.params:\n            if self.rng.rand() < 0.3:\n                if p.type == \"categorical\":\n                    nc[p.name] = self.rng.choice(p.choices)\n                else:\n                    low, high = (np.log(p.low), np.log(p.high)) if p.log_scale else (p.low, p.high)\n                    val = np.log(nc[p.name]) if p.log_scale else nc[p.name]\n                    val = np.clip(val + self.rng.randn() * (high - low) * 0.15, low, high)\n                    val = np.exp(val) if p.log_scale else val\n                    nc[p.name] = int(round(val)) if p.type == \"int\" else float(val)\n        return nc\n\n    def suggest(self, space: SearchSpace, history: List[Trial], budget_left: int) -> Tuple[Dict[str, Any], float]:\n        evals = {r: [] for r in self.rungs}\n        for t in history:\n            evals[min(self.rungs, key=lambda r: abs(r - t.budget))].append(t)\n            \n        def keys(cfg): return tuple(sorted(cfg.items()))\n        \n        for i in range(len(self.rungs) - 1, 0, -1):\n            prev = sorted(evals[self.rungs[i-1]], key=lambda t: t.score, reverse=True)\n            promoted = set()\n            for r in self.rungs[i:]:\n                promoted.update({keys(t.config) for t in evals[r]})\n            for rank, t in enumerate(prev):\n                if rank < len(prev) // self.eta and keys(t.config) not in promoted:\n                    return t.config.copy(), float(self.rungs[i])\n        \n        if len(history) < 8:\n            return space.sample_uniform(self.rng), float(self.rungs[0])\n            \n        from sklearn.ensemble import RandomForestRegressor\n        X = np.array([list(self._encode(t.config, space)) + [t.budget] for t in history])\n        y = np.array([t.score for t in history])\n        rf = RandomForestRegressor(n_estimators=50, min_samples_split=3, random_state=self.seed)\n        rf.fit(X, (y - y.mean()) / (y.std() + 1e-6))\n        \n        cands = [space.sample_uniform(self.rng) for _ in range(200)]\n        for bt in sorted(history, key=lambda t: t.score, reverse=True)[:5]:\n            cands.extend([self._mutate(bt.config, space) for _ in range(40)])\n            \n        X_c = np.array([list(self._encode(c, space)) + [1.0] for c in cands])\n        preds = np.array([tree.predict(X_c) for tree in rf.estimators_])\n        acq = preds.mean(axis=0) + 1.96 * (preds.std(axis=0) + 1e-6)\n        \n        return cands[int(np.argmax(acq))], float(self.rungs[0])",
5  "end_line": 322,
6  "filename": "scikit-learn/custom_hpo.py"
7}
Tool ResultStep 3
OK: Replaced lines 255..322 with 68 line(s) in scikit-learn/custom_hpo.py. Editable range: 255–322.

[Current file: scikit-learn/custom_hpo.py | editable: 255–322 | total: 451 lines]
   252| # ================================================================
   253| 
   254| 
   255  class CustomHPOStrategy:
   256      def __init__(self, seed: int = 42):
   257          self.seed = seed
   258          self.rng = np.random.RandomState(seed)
   259          self.rungs = [0.25, 1.0]
   260          self.eta = 2
   261  
   262      def _encode(self, c, s):
   263          v = []
   264          for p in s.params:
   265              val = c[p.name]
   266              if p.type == "categorical":
   267                  v.extend([1.0 if val == ch else 0.0 for ch in p.choices])
   268              else:
   269                  low, high, val = p.low, p.high, val
   270                  if p.log_scale:
   271                      low, high, val = np.log(low), np.log(high), np.log(val)
   27
AssistantStep 4test
Tool ResultStep 4
[Test #2] (1 test remaining; call submit(n=2) to submit this result)

### xgboost (scripts/xgboost.sh)
Training progress (last evaluations):
TRAIN_METRICS eval=85 cost=42.2/50 best_score=-0.388965 elapsed=960.8s
TRAIN_METRICS eval=90 cost=45.0/50 best_score=-0.388965 elapsed=1011.6s
TRAIN_METRICS eval=95 cost=47.0/50 best_score=-0.388965 elapsed=1039.5s
TRAIN_METRICS eval=100 cost=49.8/50 best_score=-0.388965 elapsed=1112.4s
TRAIN_METRICS eval=101 cost=50.0/50 best_score=-0.388965 elapsed=1115.1s
Test results (xgboost):
  best_val_score: -0.388965
  convergence_auc: 0.904130
  total_evals: 101.000000

### svm (scripts/svm.sh)
Training progress (last evaluations):
TRAIN_METRICS eval=60 cost=30.8/40 best_score=0.980686 elapsed=1.6s
TRAIN_METRICS eval=65 cost=33.5/40 best_score=0.980686 elapsed=1.8s
TRAIN_METRICS eval=70 cost=36.2/40 best_score=0.980686 elapsed=1.9s
TRAIN_METRICS eval=75 cost=38.2/40 best_score=0.980686 elapsed=2.1s
TRAIN_METRICS eval=79 cost=40.0/40 best_score=0.980686 e
AssistantStep 5submit
Tool Input
1{
2  "n": 2
3}
Tool ResultStep 5
[submit] Submitting result from test #2 as final.

### xgboost (scripts/xgboost.sh)
Training progress (last evaluations):
TRAIN_METRICS eval=85 cost=42.2/50 best_score=-0.388965 elapsed=960.8s
TRAIN_METRICS eval=90 cost=45.0/50 best_score=-0.388965 elapsed=1011.6s
TRAIN_METRICS eval=95 cost=47.0/50 best_score=-0.388965 elapsed=1039.5s
TRAIN_METRICS eval=100 cost=49.8/50 best_score=-0.388965 elapsed=1112.4s
TRAIN_METRICS eval=101 cost=50.0/50 best_score=-0.388965 elapsed=1115.1s
Test results (xgboost):
  best_val_score: -0.388965
  convergence_auc: 0.904130
  total_evals: 101.000000

### svm (scripts/svm.sh)
Training progress (last evaluations):
TRAIN_METRICS eval=60 cost=30.8/40 best_score=0.980686 elapsed=1.6s
TRAIN_METRICS eval=65 cost=33.5/40 best_score=0.980686 elapsed=1.8s
TRAIN_METRICS eval=70 cost=36.2/40 best_score=0.980686 elapsed=1.9s
TRAIN_METRICS eval=75 cost=38.2/40 best_score=0.980686 elapsed=2.1s
TRAIN_METRICS eval=79 cost=40.0/40 best_score=0.980686 elapsed=2.2s
Test re