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Task: cv-3dgs-densification

3D Gaussian Splatting Densification Strategy Design

Objective

Design a densification strategy for 3D Gaussian Splatting (3DGS) that achieves the best novel view synthesis quality on real-world scenes.

Background

3D Gaussian Splatting represents scenes as collections of 3D Gaussians optimized via differentiable rendering. A critical component is the densification strategy, which controls how Gaussians are added, split, and pruned during optimization:

  • Clone: Duplicate small Gaussians in under-reconstructed regions
  • Split: Divide large Gaussians into smaller ones for finer detail
  • Prune: Remove transparent or oversized Gaussians
  • Reset: Periodically reset opacities to encourage pruning of unneeded Gaussians

Recent work has proposed various improvements:

  • AbsGS: Uses absolute gradients instead of average for better detail recovery
  • Mini-Splatting: Blur-aware forced splitting + importance-based pruning
  • MCMC 3DGS: Treats densification as Markov Chain Monte Carlo sampling
  • New Split (Cao et al.): Mathematically consistent Gaussian splitting

Task

Implement a CustomStrategy class in custom_strategy.py. Your strategy controls the full lifecycle of Gaussians during training via two hooks:

Editable Region

@dataclass
class CustomStrategy(Strategy):
    def initialize_state(self, scene_scale: float = 1.0) -> Dict[str, Any]:
        # Initialize running statistics for your strategy
        ...

    def step_pre_backward(self, params, optimizers, state, step, info):
        # Called BEFORE loss.backward(). Use to retain gradients.
        ...

    def step_post_backward(self, params, optimizers, state, step, info, packed=False):
        # Called AFTER loss.backward() and optimizer.step().
        # This is where you implement densification logic.
        ...

Available Operations (from gsplat.strategy.ops)

  • duplicate(params, optimizers, state, mask) — Clone selected Gaussians
  • split(params, optimizers, state, mask) — Split selected Gaussians (sample 2 new positions from covariance)
  • remove(params, optimizers, state, mask) — Remove selected Gaussians
  • reset_opa(params, optimizers, state, value) — Reset all opacities to a value
  • relocate(params, optimizers, state, mask, binoms, min_opacity) — Teleport dead Gaussians to live ones
  • sample_add(params, optimizers, state, n, binoms, min_opacity) — Add new Gaussians sampled from opacity distribution
  • inject_noise_to_position(params, optimizers, state, scaler) — Perturb positions

Available Information

The info dict from rasterization contains:

  • means2d: 2D projected means (with .grad after backward)
  • width, height: Image dimensions
  • n_cameras: Number of cameras in batch
  • radii: Screen-space radii per Gaussian
  • gaussian_ids: Which Gaussians are visible

The params dict contains Gaussian parameters:

  • means: [N, 3] positions
  • scales: [N, 3] log
AssistantStep 1edit
Tool Input
1{
2  "op": "replace",
3  "filename": "gsplat/custom_strategy.py",
4  "start_line": 20,
5  "end_line": 90,
6  "content": "# ============================================================================\n# Densification Strategy (EDITABLE REGION: lines 20-90)\n# ============================================================================\n\n@dataclass\nclass CustomStrategy(Strategy):\n    \"\"\"Adaptive Percentile Gradient with View Consistency Weighting.\n    \n    Key innovations:\n    1. Adaptive gradient thresholds using percentiles (top_k_split, top_k_clone)\n    2. View consistency weighting: gradients weighted by visibility count\n    3. Soft opacity reset: gradual decay of low-opacity Gaussians\n    4. Scale-adaptive splitting: large Gaussians with moderate gradient still split\n    5. Combined abs gradient + max gradient blending\n    \"\"\"\n    \n    # Densification thresholds (adaptive via percentiles)\n    prune_opa: float = 0.005\n    grow_grad2d_percentile_split: float = 0.95  # Top 5% gradients for splitting\n    grow_grad2d_percentile_clone: float = 0.90  # Top 10% gradients for cloning\n    grow_scale3d: float = 0.01\n    prune_scale3d: float = 0.1\n    refine_start_iter: int = 500\n    refine_stop_iter: int = 18_000  # Later stop for continued refinement\n    reset_every: int = 3000\n    refine_every: int = 100\n    \n    # View consistency weighting\n    min_views_for_reliable: int = 3  # Minimum views to consider gradient reliable\n    \n    # Soft reset parameters\n    soft_reset_decay: float = 0.9  # Decay factor for low-opacity Gaussians\n    soft_reset_boost: float = 1.1  # Boost factor for promising Gaussians\n    \n    # Gradient blending (like Taming)\n    avg_weight: float = 0.6\n    max_weight: float = 0.4\n\n    def initialize_state(self, scene_scale: float = 1.0) -> Dict[str, Any]:\n        \"\"\"Initialize and return the running state for this strategy.\"\"\"\n        return {\n            \"grad2d\": None,           # Accumulated absolute gradients\n            \"count\": None,            # Visibility count (for averaging)\n            \"grad2d_max\": None,       # Max gradient per Gaussian (Taming-style)\n            \"view_count\": None,       # How many cameras see each Gaussian\n            \"scene_scale\": scene_scale,\n        }\n\n    def check_sanity(self, params, optimizers):\n        \"\"\"Sanity check for required parameters.\"\"\"\n        super().check_sanity(params, optimizers)\n        for key in [\"means\", \"scales\", \"quats\", \"opacities\"]:\n            assert key in params, f\"{key} is required in params but missing.\"\n\n    def step_pre_backward(self, params, optimizers, state, step, info):\n        \"\"\"Called BEFORE loss.backward(). Retain gradients for densification.\"\"\"\n        info[\"means2d\"].retain_grad()\n\n    def step_post_backward(self, params, optimizers, state, step, info,\n                           packed=False):\n        \"\"\"Called AFTER loss.backward(). Implement densification logic here.\"\"\"\n        if step >= self.refine_stop_iter:\n            return\n\n        # Use ABSOLUTE gradients (AbsGS style)\n        if hasattr(info[\"means2d\"], \"absgrad\"):\n            grads = info[\"means2d\"].absgrad.clone()\n        else:\n            grads = info[\"means2d\"].grad.abs().clone()\n        \n        # Scale gradients by image dimensions\n        grads[..., 0] *= info[\"width\"] / 2.0 * info[\"n_cameras\"]\n        grads[..., 1] *= info[\"height\"] / 2.0 * info[\"n_cameras\"]\n\n        n = len(list(params.values())[0])\n        if state[\"grad2d\"] is None:\n            # Initialize statistics\n            state[\"grad2d\"] = torch.zeros(n, device=grads.device)\n            state[\"count\"] = torch.zeros(n, device=grads.device)\n            state[\"grad2d_max\"] = torch.zeros(n, device=grads.device)\n            state[\"view_count\"] = torch.zeros(n, device=grads.device, dtype=torch.long)\n\n        # Determine which Gaussians are visible in this batch\n        sel = (info[\"radii\"] > 0.0).all(dim=-1)  # [C, N] bool\n        gs_ids = torch.where(sel)[1]  # Gaussian indices\n        \n        # Compute gradient norms for visible Gaussians\n        grad_norms = grads[sel].norm(dim=-1)\n        \n        # Accumulate gradients with view count weighting\n        state[\"grad2d\"].index_add_(0, gs_ids, grad_norms)\n        state[\"count\"].index_add_(0, gs_ids, torch.ones_like(gs_ids, dtype=torch.float32))\n        \n        # Track max gradient per Gaussian (Taming-style)\n        state[\"grad2d_max\"].scatter_reduce_(0, gs_ids, grad_norms, reduce=\"amax\", include_self=True)\n        \n        # Track view count (how many cameras see each Gaussian)\n        state[\"view_count\"].index_add_(0, gs_ids, torch.ones_like(gs_ids, dtype=torch.long))\n\n        if step > self.refine_start_iter and step % self.refine_every == 0:\n            # Compute average gradients\n            avg_grads = state[\"grad2d\"] / state[\"count\"].clamp_min(1)\n            \n            # Blend average and max gradients\n            combined = self.avg_weight * avg_grads + self.max_weight * state[\"grad2d_max\"]\n            \n            # Apply view consistency weighting: more views = more reliable gradient\n            view_weight = torch.clamp(state[\"view_count\"].float() / self.min_views_for_reliable, 0.0, 1.0)\n            weighted_grads = combined * view_weight\n            \n            scene_scale = state[\"scene_scale\"]\n            \n            # Adaptive thresholding via percentiles\n            valid_mask = state[\"count\"] > 0\n            if valid_mask.sum() > 0:\n                valid_grads = weighted_grads[valid_mask]\n                split_threshold = torch.quantile(valid_grads, self.grow_grad2d_percentile_split)\n                clone_threshold = torch.quantile(valid_grads, self.grow_grad2d_percentile_clone)\n            else:\n                split_threshold = clone_threshold = 0.0\n            \n            scale_max = torch.exp(params[\"scales\"]).max(dim=-1).values\n            is_small = scale_max <= self.grow_scale3d * scene_scale\n            \n            # Clone small Gaussians with high gradient (above clone threshold)\n            is_grad_high_clone = weighted_grads > clone_threshold\n            is_dupli = is_grad_high_clone & is_small\n            if is_dupli.sum() > 0:\n                duplicate(params=params, optimizers=optimizers, state=state, mask=is_dupli)\n            \n            # Split large Gaussians with high gradient (above split threshold)\n            is_grad_high_split = weighted_grads > split_threshold\n            is_split = is_grad_high_split & ~is_small\n            \n            # Also split large Gaussians with moderate gradient but low view count\n            # (uncertain areas need more exploration)\n            view_uncertain = state[\"view_count\"] < self.min_views_for_reliable\n            moderate_grad = weighted_grads > (clone_threshold * 0.5)\n            is_split_uncertain = view_uncertain & moderate_grad & ~is_small\n            is_split = is_split | is_split_uncertain\n            \n            # Adjust for newly duplicated Gaussians\n            is_split = torch.cat([is_split, torch.zeros(is_dupli.sum(), dtype=torch.bool, device=is_split.device)])\n            if is_split.sum() > 0:\n                split(params=params, optimizers=optimizers, state=state, mask=is_split, revised_opacity=True)\n            \n            # Prune low-opacity Gaussians\n            opacities = torch.sigmoid(params[\"opacities\"].flatten())\n            is_prune = opacities < self.prune_opa\n            \n            # Also prune oversized Gaussians\n            if step > self.reset_every:\n                is_prune = is_prune | (scale_max > self.prune_scale3d * scene_scale)\n            \n            if is_prune.sum() > 0:\n                remove(params=params, optimizers=optimizers, state=state, mask=is_prune)\n            \n            # Soft reset: gradually adjust opacities instead of hard reset\n            if step % self.reset_every == 0 and step > 0:\n                # Boost promising Gaussians (high gradient, good visibility)\n                promising = (weighted_grads > clone_threshold * 0.7) & (state[\"view_count\"] >= 2)\n                if promising.sum() > 0:\n                    new_opacities = params[\"opacities\"].clone()\n                    new_opacities[promising] += torch.log(torch.tensor(self.soft_reset_boost, device=new_opacities.device))\n                    params[\"opacities\"].copy_(new_opacities)\n                \n                # Decay low-opacity Gaussians\n                low_opacity = opacities < self.prune_opa * 2.0\n                if low_opacity.sum() > 0:\n                    new_opacities = params[\"opacities\"].clone()\n                    new_opacities[low_opacity] -= torch.log(torch.tensor(self.soft_reset_decay, device=new_opacities.device))\n                    params[\"opacities\"].copy_(new_opacities)\n            \n            # Reset statistics\n            state[\"grad2d\"].zero_()\n            state[\"count\"].zero_()\n            state[\"grad2d_max\"].zero_()\n            state[\"view_count\"].zero_()\n            torch.cuda.empty_cache()"
7}
Tool ResultStep 1
ERROR: Invalid line range 20..90 (file has 82 lines)

[Current file: gsplat/custom_strategy.py | editable: 20–90 | total: 82 lines]
    17| 
    18| 
    19| # ============================================================================
    20  # Densification Strategy (EDITABLE REGION: lines 20-90)
    21  # ============================================================================
    22  
    23  @dataclass
    24  class CustomStrategy(Strategy):
    25      """Custom 3DGS densification strategy.
    26  
    27      TODO: Design your densification strategy to maximize novel view quality.
    28  
    29      Available operations (from gsplat.strategy.ops):
    30          duplicate(params, optimizers, state, mask)
    31              Clone Gaussians selected by boolean mask.
    32          split(params, optimizers, state, mask, revised_opacity=False)
    33              Split Gaussians into 2 new ones sampled from covariance.
    34          remove(params, optimizers, state, mas
AssistantStep 2edit
Tool Input
1{
2  "op": "replace",
3  "filename": "gsplat/custom_strategy.py",
4  "start_line": 20,
5  "end_line": 82,
6  "content": "# ============================================================================\n# Densification Strategy (EDITABLE REGION: lines 20-90)\n# ============================================================================\n\n@dataclass\nclass CustomStrategy(Strategy):\n    \"\"\"Adaptive Percentile Gradient with View Consistency Weighting.\n    \n    Key innovations:\n    1. Adaptive gradient thresholds using percentiles (top_k_split, top_k_clone)\n    2. View consistency weighting: gradients weighted by visibility count\n    3. Soft opacity reset: gradual decay of low-opacity Gaussians\n    4. Scale-adaptive splitting: large Gaussians with moderate gradient still split\n    5. Combined abs gradient + max gradient blending\n    \"\"\"\n    \n    # Densification thresholds (adaptive via percentiles)\n    prune_opa: float = 0.005\n    grow_grad2d_percentile_split: float = 0.95  # Top 5% gradients for splitting\n    grow_grad2d_percentile_clone: float = 0.90  # Top 10% gradients for cloning\n    grow_scale3d: float = 0.01\n    prune_scale3d: float = 0.1\n    refine_start_iter: int = 500\n    refine_stop_iter: int = 18_000  # Later stop for continued refinement\n    reset_every: int = 3000\n    refine_every: int = 100\n    \n    # View consistency weighting\n    min_views_for_reliable: int = 3  # Minimum views to consider gradient reliable\n    \n    # Soft reset parameters\n    soft_reset_decay: float = 0.9  # Decay factor for low-opacity Gaussians\n    soft_reset_boost: float = 1.1  # Boost factor for promising Gaussians\n    \n    # Gradient blending (like Taming)\n    avg_weight: float = 0.6\n    max_weight: float = 0.4\n\n    def initialize_state(self, scene_scale: float = 1.0) -> Dict[str, Any]:\n        \"\"\"Initialize and return the running state for this strategy.\"\"\"\n        return {\n            \"grad2d\": None,           # Accumulated absolute gradients\n            \"count\": None,            # Visibility count (for averaging)\n            \"grad2d_max\": None,       # Max gradient per Gaussian (Taming-style)\n            \"view_count\": None,       # How many cameras see each Gaussian\n            \"scene_scale\": scene_scale,\n        }\n\n    def check_sanity(self, params, optimizers):\n        \"\"\"Sanity check for required parameters.\"\"\"\n        super().check_sanity(params, optimizers)\n        for key in [\"means\", \"scales\", \"quats\", \"opacities\"]:\n            assert key in params, f\"{key} is required in params but missing.\"\n\n    def step_pre_backward(self, params, optimizers, state, step, info):\n        \"\"\"Called BEFORE loss.backward(). Retain gradients for densification.\"\"\"\n        info[\"means2d\"].retain_grad()\n\n    def step_post_backward(self, params, optimizers, state, step, info,\n                           packed=False):\n        \"\"\"Called AFTER loss.backward(). Implement densification logic here.\"\"\"\n        if step >= self.refine_stop_iter:\n            return\n\n        # Use ABSOLUTE gradients (AbsGS style)\n        if hasattr(info[\"means2d\"], \"absgrad\"):\n            grads = info[\"means2d\"].absgrad.clone()\n        else:\n            grads = info[\"means2d\"].grad.abs().clone()\n        \n        # Scale gradients by image dimensions\n        grads[..., 0] *= info[\"width\"] / 2.0 * info[\"n_cameras\"]\n        grads[..., 1] *= info[\"height\"] / 2.0 * info[\"n_cameras\"]\n\n        n = len(list(params.values())[0])\n        if state[\"grad2d\"] is None:\n            # Initialize statistics\n            state[\"grad2d\"] = torch.zeros(n, device=grads.device)\n            state[\"count\"] = torch.zeros(n, device=grads.device)\n            state[\"grad2d_max\"] = torch.zeros(n, device=grads.device)\n            state[\"view_count\"] = torch.zeros(n, device=grads.device, dtype=torch.long)\n\n        # Determine which Gaussians are visible in this batch\n        sel = (info[\"radii\"] > 0.0).all(dim=-1)  # [C, N] bool\n        gs_ids = torch.where(sel)[1]  # Gaussian indices\n        \n        # Compute gradient norms for visible Gaussians\n        grad_norms = grads[sel].norm(dim=-1)\n        \n        # Accumulate gradients with view count weighting\n        state[\"grad2d\"].index_add_(0, gs_ids, grad_norms)\n        state[\"count\"].index_add_(0, gs_ids, torch.ones_like(gs_ids, dtype=torch.float32))\n        \n        # Track max gradient per Gaussian (Taming-style)\n        state[\"grad2d_max\"].scatter_reduce_(0, gs_ids, grad_norms, reduce=\"amax\", include_self=True)\n        \n        # Track view count (how many cameras see each Gaussian)\n        state[\"view_count\"].index_add_(0, gs_ids, torch.ones_like(gs_ids, dtype=torch.long))\n\n        if step > self.refine_start_iter and step % self.refine_every == 0:\n            # Compute average gradients\n            avg_grads = state[\"grad2d\"] / state[\"count\"].clamp_min(1)\n            \n            # Blend average and max gradients\n            combined = self.avg_weight * avg_grads + self.max_weight * state[\"grad2d_max\"]\n            \n            # Apply view consistency weighting: more views = more reliable gradient\n            view_weight = torch.clamp(state[\"view_count\"].float() / self.min_views_for_reliable, 0.0, 1.0)\n            weighted_grads = combined * view_weight\n            \n            scene_scale = state[\"scene_scale\"]\n            \n            # Adaptive thresholding via percentiles\n            valid_mask = state[\"count\"] > 0\n            if valid_mask.sum() > 0:\n                valid_grads = weighted_grads[valid_mask]\n                split_threshold = torch.quantile(valid_grads, self.grow_grad2d_percentile_split)\n                clone_threshold = torch.quantile(valid_grads, self.grow_grad2d_percentile_clone)\n            else:\n                split_threshold = clone_threshold = 0.0\n            \n            scale_max = torch.exp(params[\"scales\"]).max(dim=-1).values\n            is_small = scale_max <= self.grow_scale3d * scene_scale\n            \n            # Clone small Gaussians with high gradient (above clone threshold)\n            is_grad_high_clone = weighted_grads > clone_threshold\n            is_dupli = is_grad_high_clone & is_small\n            if is_dupli.sum() > 0:\n                duplicate(params=params, optimizers=optimizers, state=state, mask=is_dupli)\n            \n            # Split large Gaussians with high gradient (above split threshold)\n            is_grad_high_split = weighted_grads > split_threshold\n            is_split = is_grad_high_split & ~is_small\n            \n            # Also split large Gaussians with moderate gradient but low view count\n            # (uncertain areas need more exploration)\n            view_uncertain = state[\"view_count\"] < self.min_views_for_reliable\n            moderate_grad = weighted_grads > (clone_threshold * 0.5)\n            is_split_uncertain = view_uncertain & moderate_grad & ~is_small\n            is_split = is_split | is_split_uncertain\n            \n            # Adjust for newly duplicated Gaussians\n            is_split = torch.cat([is_split, torch.zeros(is_dupli.sum(), dtype=torch.bool, device=is_split.device)])\n            if is_split.sum() > 0:\n                split(params=params, optimizers=optimizers, state=state, mask=is_split, revised_opacity=True)\n            \n            # Prune low-opacity Gaussians\n            opacities = torch.sigmoid(params[\"opacities\"].flatten())\n            is_prune = opacities < self.prune_opa\n            \n            # Also prune oversized Gaussians\n            if step > self.reset_every:\n                is_prune = is_prune | (scale_max > self.prune_scale3d * scene_scale)\n            \n            if is_prune.sum() > 0:\n                remove(params=params, optimizers=optimizers, state=state, mask=is_prune)\n            \n            # Soft reset: gradually adjust opacities instead of hard reset\n            if step % self.reset_every == 0 and step > 0:\n                # Boost promising Gaussians (high gradient, good visibility)\n                promising = (weighted_grads > clone_threshold * 0.7) & (state[\"view_count\"] >= 2)\n                if promising.sum() > 0:\n                    new_opacities = params[\"opacities\"].clone()\n                    new_opacities[promising] += torch.log(torch.tensor(self.soft_reset_boost, device=new_opacities.device))\n                    params[\"opacities\"].copy_(new_opacities)\n                \n                # Decay low-opacity Gaussians\n                low_opacity = opacities < self.prune_opa * 2.0\n                if low_opacity.sum() > 0:\n                    new_opacities = params[\"opacities\"].clone()\n                    new_opacities[low_opacity] -= torch.log(torch.tensor(self.soft_reset_decay, device=new_opacities.device))\n                    params[\"opacities\"].copy_(new_opacities)\n            \n            # Reset statistics\n            state[\"grad2d\"].zero_()\n            state[\"count\"].zero_()\n            state[\"grad2d_max\"].zero_()\n            state[\"view_count\"].zero_()\n            torch.cuda.empty_cache()"
7}
Tool ResultStep 2
OK: Replaced lines 20..82 with 179 line(s) in gsplat/custom_strategy.py. Editable range: 20–206.

[Current file: gsplat/custom_strategy.py | editable: 20–206 | total: 198 lines]
    17| 
    18| 
    19| # ============================================================================
    20  # ============================================================================
    21  # Densification Strategy (EDITABLE REGION: lines 20-90)
    22  # ============================================================================
    23  
    24  @dataclass
    25  class CustomStrategy(Strategy):
    26      """Adaptive Percentile Gradient with View Consistency Weighting.
    27      
    28      Key innovations:
    29      1. Adaptive gradient thresholds using percentiles (top_k_split, top_k_clone)
    30      2. View consistency weighting: gradients weighted by visibility count
    31      3. Soft opacity reset: gradual decay of low-opacity Gaussians
    32      4. Scale-adaptive splitting: large 
AssistantStep 3test
Tool ResultStep 3
[Test #1] (2 tests remaining; call submit(n=1) to submit this result)

### garden (scripts/train_garden.sh)
Training results:
Loaded 161 train, 24 val images. Scene scale: 1.23
Initialized 138766 Gaussians
Traceback (most recent call last):
File "/home/yangyucheng/MLS-Bench-main/vendor/workspace/cv-3dgs-densification/deepseek-reasoner_20260419_090603/gsplat/train_gsplat.py", line 370, in <module>
File "/home/yangyucheng/MLS-Bench-main/vendor/workspace/cv-3dgs-densification/deepseek-reasoner_20260419_090603/gsplat/train_gsplat.py", line 327, in train
File "/home/yangyucheng/MLS-Bench-main/vendor/workspace/cv-3dgs-densification/deepseek-reasoner_20260419_090603/gsplat/custom_strategy.py", line 158, in step_post_backward
RuntimeError: The size of tensor a (144125) must match the size of tensor b (138766) at non-singleton dimension 0

### bicycle (scripts/train_bicycle.sh)
Training results:
Loaded 169 train, 25 val images. Scene scale: 1.30
Initialized 54275 Gaussians
Traceback (most recen
AssistantStep 4edit
Tool Input
1{
2  "op": "replace",
3  "filename": "gsplat/custom_strategy.py",
4  "start_line": 119,
5  "end_line": 198,
6  "content": "        if step > self.refine_start_iter and step % self.refine_every == 0:\n            # Compute average gradients\n            avg_grads = state[\"grad2d\"] / state[\"count\"].clamp_min(1)\n            \n            # Blend average and max gradients\n            combined = self.avg_weight * avg_grads + self.max_weight * state[\"grad2d_max\"]\n            \n            # Apply view consistency weighting: more views = more reliable gradient\n            view_weight = torch.clamp(state[\"view_count\"].float() / self.min_views_for_reliable, 0.0, 1.0)\n            weighted_grads = combined * view_weight\n            \n            scene_scale = state[\"scene_scale\"]\n            \n            # Adaptive thresholding via percentiles\n            valid_mask = state[\"count\"] > 0\n            if valid_mask.sum() > 0:\n                valid_grads = weighted_grads[valid_mask]\n                split_threshold = torch.quantile(valid_grads, self.grow_grad2d_percentile_split)\n                clone_threshold = torch.quantile(valid_grads, self.grow_grad2d_percentile_clone)\n            else:\n                split_threshold = clone_threshold = 0.0\n            \n            scale_max = torch.exp(params[\"scales\"]).max(dim=-1).values\n            is_small = scale_max <= self.grow_scale3d * scene_scale\n            \n            # Determine which Gaussians to duplicate (small & high gradient)\n            is_grad_high_clone = weighted_grads > clone_threshold\n            is_dupli = is_grad_high_clone & is_small\n            \n            # Determine which Gaussians to split (large & high gradient)\n            is_grad_high_split = weighted_grads > split_threshold\n            is_split = is_grad_high_split & ~is_small\n            \n            # Also split large Gaussians with moderate gradient but low view count\n            view_uncertain = state[\"view_count\"] < self.min_views_for_reliable\n            moderate_grad = weighted_grads > (clone_threshold * 0.5)\n            is_split_uncertain = view_uncertain & moderate_grad & ~is_small\n            is_split = is_split | is_split_uncertain\n            \n            # Perform duplication first\n            if is_dupli.sum() > 0:\n                duplicate(params=params, optimizers=optimizers, state=state, mask=is_dupli)\n            \n            # After duplication, the total number of Gaussians increased by is_dupli.sum()\n            # We need to adjust the split mask to include zeros for the newly added Gaussians\n            # (they shouldn't be split immediately)\n            is_split = torch.cat([is_split, torch.zeros(is_dupli.sum(), dtype=torch.bool, device=is_split.device)])\n            \n            # Perform splitting\n            if is_split.sum() > 0:\n                split(params=params, optimizers=optimizers, state=state, mask=is_split, revised_opacity=True)\n            \n            # Prune low-opacity Gaussians\n            opacities = torch.sigmoid(params[\"opacities\"].flatten())\n            is_prune = opacities < self.prune_opa\n            \n            # Also prune oversized Gaussians\n            if step > self.reset_every:\n                is_prune = is_prune | (scale_max > self.prune_scale3d * scene_scale)\n            \n            if is_prune.sum() > 0:\n                remove(params=params, optimizers=optimizers, state=state, mask=is_prune)\n            \n            # Soft reset: gradually adjust opacities instead of hard reset\n            if step % self.reset_every == 0 and step > 0:\n                # Boost promising Gaussians (high gradient, good visibility)\n                promising = (weighted_grads > clone_threshold * 0.7) & (state[\"view_count\"] >= 2)\n                if promising.sum() > 0:\n                    new_opacities = params[\"opacities\"].clone()\n                    new_opacities[promising] += torch.log(torch.tensor(self.soft_reset_boost, device=new_opacities.device))\n                    params[\"opacities\"].copy_(new_opacities)\n                \n                # Decay low-opacity Gaussians\n                low_opacity = opacities < self.prune_opa * 2.0\n                if low_opacity.sum() > 0:\n                    new_opacities = params[\"opacities\"].clone()\n                    new_opacities[low_opacity] -= torch.log(torch.tensor(self.soft_reset_decay, device=new_opacities.device))\n                    params[\"opacities\"].copy_(new_opacities)\n            \n            # Reset statistics\n            state[\"grad2d\"].zero_()\n            state[\"count\"].zero_()\n            state[\"grad2d_max\"].zero_()\n            state[\"view_count\"].zero_()\n            torch.cuda.empty_cache()"
7}
Tool ResultStep 4
OK: Replaced lines 119..198 with 85 line(s) in gsplat/custom_strategy.py. Editable range: 20–211.

[Current file: gsplat/custom_strategy.py | editable: 20–211 | total: 203 lines]
    17| 
    18| 
    19| # ============================================================================
    20  # ============================================================================
    21  # Densification Strategy (EDITABLE REGION: lines 20-90)
    22  # ============================================================================
    23  
    24  @dataclass
    25  class CustomStrategy(Strategy):
    26      """Adaptive Percentile Gradient with View Consistency Weighting.
    27      
    28      Key innovations:
    29      1. Adaptive gradient thresholds using percentiles (top_k_split, top_k_clone)
    30      2. View consistency weighting: gradients weighted by visibility count
    31      3. Soft opacity reset: gradual decay of low-opacity Gaussians
    32      4. Scale-adaptive splitting: large
AssistantStep 5edit
Tool Input
1{
2  "op": "replace",
3  "filename": "gsplat/custom_strategy.py",
4  "start_line": 119,
5  "end_line": 203,
6  "content": "        if step > self.refine_start_iter and step % self.refine_every == 0:\n            # Compute average gradients\n            avg_grads = state[\"grad2d\"] / state[\"count\"].clamp_min(1)\n            \n            # Blend average and max gradients\n            combined = self.avg_weight * avg_grads + self.max_weight * state[\"grad2d_max\"]\n            \n            # Apply view consistency weighting: more views = more reliable gradient\n            view_weight = torch.clamp(state[\"view_count\"].float() / self.min_views_for_reliable, 0.0, 1.0)\n            weighted_grads = combined * view_weight\n            \n            scene_scale = state[\"scene_scale\"]\n            \n            # Adaptive thresholding via percentiles\n            valid_mask = state[\"count\"] > 0\n            if valid_mask.sum() > 0:\n                valid_grads = weighted_grads[valid_mask]\n                split_threshold = torch.quantile(valid_grads, self.grow_grad2d_percentile_split)\n                clone_threshold = torch.quantile(valid_grads, self.grow_grad2d_percentile_clone)\n            else:\n                split_threshold = clone_threshold = 0.0\n            \n            # Pre-modification statistics (original Gaussians only)\n            scale_max_orig = torch.exp(params[\"scales\"]).max(dim=-1).values\n            is_small = scale_max_orig <= self.grow_scale3d * scene_scale\n            \n            # Determine which Gaussians to duplicate (small & high gradient)\n            is_grad_high_clone = weighted_grads > clone_threshold\n            is_dupli = is_grad_high_clone & is_small\n            \n            # Determine which Gaussians to split (large & high gradient)\n            is_grad_high_split = weighted_grads > split_threshold\n            is_split = is_grad_high_split & ~is_small\n            \n            # Also split large Gaussians with moderate gradient but low view count\n            view_uncertain = state[\"view_count\"] < self.min_views_for_reliable\n            moderate_grad = weighted_grads > (clone_threshold * 0.5)\n            is_split_uncertain = view_uncertain & moderate_grad & ~is_small\n            is_split = is_split | is_split_uncertain\n            \n            # Perform duplication first\n            if is_dupli.sum() > 0:\n                duplicate(params=params, optimizers=optimizers, state=state, mask=is_dupli)\n            \n            # After duplication, the total number of Gaussians increased by is_dupli.sum()\n            # We need to adjust the split mask to include zeros for the newly added Gaussians\n            # (they shouldn't be split immediately)\n            is_split = torch.cat([is_split, torch.zeros(is_dupli.sum(), dtype=torch.bool, device=is_split.device)])\n            \n            # Perform splitting\n            if is_split.sum() > 0:\n                split(params=params, optimizers=optimizers, state=state, mask=is_split, revised_opacity=True)\n            \n            # After modifications, recompute scale and opacity for pruning\n            scale_max = torch.exp(params[\"scales\"]).max(dim=-1).values\n            opacities = torch.sigmoid(params[\"opacities\"].flatten())\n            \n            # Prune low-opacity Gaussians\n            is_prune = opacities < self.prune_opa\n            \n            # Also prune oversized Gaussians\n            if step > self.reset_every:\n                is_prune = is_prune | (scale_max > self.prune_scale3d * scene_scale)\n            \n            if is_prune.sum() > 0:\n                remove(params=params, optimizers=optimizers, state=state, mask=is_prune)\n            \n            # Soft reset: gradually adjust opacities instead of hard reset\n            if step % self.reset_every == 0 and step > 0:\n                # Boost promising Gaussians (high gradient, good visibility)\n                promising = (weighted_grads > clone_threshold * 0.7) & (state[\"view_count\"] >= 2)\n                if promising.sum() > 0:\n                    new_opacities = params[\"opacities\"].clone()\n                    # Only adjust original Gaussians (since weighted_grads only for original)\n                    # This is okay because new Gaussians inherit parent opacity\n                    new_opacities[promising] += torch.log(torch.tensor(self.soft_reset_boost, device=new_opacities.device))\n                    params[\"opacities\"].copy_(new_opacities)\n                \n                # Decay low-opacity Gaussians\n                low_opacity = opacities < self.prune_opa * 2.0\n                if low_opacity.sum() > 0:\n                    new_opacities = params[\"opacities\"].clone()\n                    new_opacities[low_opacity] -= torch.log(torch.tensor(self.soft_reset_decay, device=new_opacities.device))\n                    params[\"opacities\"].copy_(new_opacities)\n            \n            # Reset statistics\n            state[\"grad2d\"].zero_()\n            state[\"count\"].zero_()\n            state[\"grad2d_max\"].zero_()\n            state[\"view_count\"].zero_()\n            torch.cuda.empty_cache()"
7}
Tool ResultStep 5
OK: Replaced lines 119..203 with 91 line(s) in gsplat/custom_strategy.py. Editable range: 20–217.

[Current file: gsplat/custom_strategy.py | editable: 20–217 | total: 209 lines]
    17| 
    18| 
    19| # ============================================================================
    20  # ============================================================================
    21  # Densification Strategy (EDITABLE REGION: lines 20-90)
    22  # ============================================================================
    23  
    24  @dataclass
    25  class CustomStrategy(Strategy):
    26      """Adaptive Percentile Gradient with View Consistency Weighting.
    27      
    28      Key innovations:
    29      1. Adaptive gradient thresholds using percentiles (top_k_split, top_k_clone)
    30      2. View consistency weighting: gradients weighted by visibility count
    31      3. Soft opacity reset: gradual decay of low-opacity Gaussians
    32      4. Scale-adaptive splitting: large
AssistantStep 6test
Tool ResultStep 6
[Test #2] (1 test remaining; call submit(n=2) to submit this result)

### garden (scripts/train_garden.sh)
Training results:
Loaded 161 train, 24 val images. Scene scale: 1.23
Initialized 138766 Gaussians
Traceback (most recent call last):
File "/home/yangyucheng/MLS-Bench-main/vendor/workspace/cv-3dgs-densification/deepseek-reasoner_20260419_090603/gsplat/train_gsplat.py", line 370, in <module>
File "/home/yangyucheng/MLS-Bench-main/vendor/workspace/cv-3dgs-densification/deepseek-reasoner_20260419_090603/gsplat/train_gsplat.py", line 327, in train
File "/home/yangyucheng/MLS-Bench-main/vendor/workspace/cv-3dgs-densification/deepseek-reasoner_20260419_090603/gsplat/custom_strategy.py", line 189, in step_post_backward
RuntimeError: The size of tensor a (929806) must match the size of tensor b (1010833) at non-singleton dimension 0

### bicycle (scripts/train_bicycle.sh)
Training results:
Loaded 169 train, 25 val images. Scene scale: 1.30
Initialized 54275 Gaussians
Traceback (most recen
AssistantStep 7edit
Tool Input
1{
2  "op": "replace",
3  "filename": "gsplat/custom_strategy.py",
4  "start_line": 186,
5  "end_line": 202,
6  "content": "              # Periodic opacity reset (like default baseline)\n              if step % self.reset_every == 0 and step > 0:\n                  reset_opa(params=params, optimizers=optimizers, state=state,\n                            value=self.prune_opa * 2.0)"
7}
Tool ResultStep 7
OK: Replaced lines 186..202 with 4 line(s) in gsplat/custom_strategy.py. Editable range: 20–204.

[Current file: gsplat/custom_strategy.py | editable: 20–204 | total: 196 lines]
    17| 
    18| 
    19| # ============================================================================
    20  # ============================================================================
    21  # Densification Strategy (EDITABLE REGION: lines 20-90)
    22  # ============================================================================
    23  
    24  @dataclass
    25  class CustomStrategy(Strategy):
    26      """Adaptive Percentile Gradient with View Consistency Weighting.
    27      
    28      Key innovations:
    29      1. Adaptive gradient thresholds using percentiles (top_k_split, top_k_clone)
    30      2. View consistency weighting: gradients weighted by visibility count
    31      3. Soft opacity reset: gradual decay of low-opacity Gaussians
    32      4. Scale-adaptive splitting: large 
AssistantStep 8edit
Tool Input
1{
2  "op": "replace",
3  "filename": "gsplat/custom_strategy.py",
4  "start_line": 78,
5  "end_line": 196,
6  "content": "    def step_post_backward(self, params, optimizers, state, step, info,\n                           packed=False):\n        \"\"\"Called AFTER loss.backward(). Implement densification logic here.\"\"\"\n        if step >= self.refine_stop_iter:\n            return\n\n        # Use ABSOLUTE gradients (AbsGS style)\n        if hasattr(info[\"means2d\"], \"absgrad\"):\n            grads = info[\"means2d\"].absgrad.clone()\n        else:\n            grads = info[\"means2d\"].grad.abs().clone()\n        \n        # Scale gradients by image dimensions\n        grads[..., 0] *= info[\"width\"] / 2.0 * info[\"n_cameras\"]\n        grads[..., 1] *= info[\"height\"] / 2.0 * info[\"n_cameras\"]\n\n        n = len(list(params.values())[0])\n        if state[\"grad2d\"] is None:\n            # Initialize statistics\n            state[\"grad2d\"] = torch.zeros(n, device=grads.device)\n            state[\"count\"] = torch.zeros(n, device=grads.device)\n            state[\"grad2d_max\"] = torch.zeros(n, device=grads.device)\n            state[\"view_count\"] = torch.zeros(n, device=grads.device, dtype=torch.long)\n\n        # Determine which Gaussians are visible in this batch\n        sel = (info[\"radii\"] > 0.0).all(dim=-1)  # [C, N] bool\n        gs_ids = torch.where(sel)[1]  # Gaussian indices\n        \n        # Compute gradient norms for visible Gaussians\n        grad_norms = grads[sel].norm(dim=-1)\n        \n        # Accumulate gradients with view count weighting\n        state[\"grad2d\"].index_add_(0, gs_ids, grad_norms)\n        state[\"count\"].index_add_(0, gs_ids, torch.ones_like(gs_ids, dtype=torch.float32))\n        \n        # Track max gradient per Gaussian (Taming-style)\n        state[\"grad2d_max\"].scatter_reduce_(0, gs_ids, grad_norms, reduce=\"amax\", include_self=True)\n        \n        # Track view count (how many cameras see each Gaussian)\n        state[\"view_count\"].index_add_(0, gs_ids, torch.ones_like(gs_ids, dtype=torch.long))\n\n        # Densification every refine_every steps after refine_start_iter\n        if step > self.refine_start_iter and step % self.refine_every == 0:\n            # Compute average gradients\n            avg_grads = state[\"grad2d\"] / state[\"count\"].clamp_min(1)\n            \n            # Blend average and max gradients\n            combined = self.avg_weight * avg_grads + self.max_weight * state[\"grad2d_max\"]\n            \n            # Apply view consistency weighting: more views = more reliable gradient\n            view_weight = torch.clamp(state[\"view_count\"].float() / self.min_views_for_reliable, 0.0, 1.0)\n            weighted_grads = combined * view_weight\n            \n            scene_scale = state[\"scene_scale\"]\n            \n            # Adaptive thresholding via percentiles\n            valid_mask = state[\"count\"] > 0\n            if valid_mask.sum() > 0:\n                valid_grads = weighted_grads[valid_mask]\n                split_threshold = torch.quantile(valid_grads, self.grow_grad2d_percentile_split)\n                clone_threshold = torch.quantile(valid_grads, self.grow_grad2d_percentile_clone)\n            else:\n                split_threshold = clone_threshold = 0.0\n            \n            # Pre-modification statistics (original Gaussians only)\n            scale_max_orig = torch.exp(params[\"scales\"]).max(dim=-1).values\n            is_small = scale_max_orig <= self.grow_scale3d * scene_scale\n            \n            # Determine which Gaussians to duplicate (small & high gradient)\n            is_grad_high_clone = weighted_grads > clone_threshold\n            is_dupli = is_grad_high_clone & is_small\n            \n            # Determine which Gaussians to split (large & high gradient)\n            is_grad_high_split = weighted_grads > split_threshold\n            is_split = is_grad_high_split & ~is_small\n            \n            # Also split large Gaussians with moderate gradient but low view count\n            view_uncertain = state[\"view_count\"] < self.min_views_for_reliable\n            moderate_grad = weighted_grads > (clone_threshold * 0.5)\n            is_split_uncertain = view_uncertain & moderate_grad & ~is_small\n            is_split = is_split | is_split_uncertain\n            \n            # Perform duplication first\n            if is_dupli.sum() > 0:\n                duplicate(params=params, optimizers=optimizers, state=state, mask=is_dupli)\n            \n            # After duplication, the total number of Gaussians increased by is_dupli.sum()\n            # We need to adjust the split mask to include zeros for the newly added Gaussians\n            # (they shouldn't be split immediately)\n            is_split = torch.cat([is_split, torch.zeros(is_dupli.sum(), dtype=torch.bool, device=is_split.device)])\n            \n            # Perform splitting\n            if is_split.sum() > 0:\n                split(params=params, optimizers=optimizers, state=state, mask=is_split, revised_opacity=True)\n            \n            # After modifications, recompute scale and opacity for pruning\n            scale_max = torch.exp(params[\"scales\"]).max(dim=-1).values\n            opacities = torch.sigmoid(params[\"opacities\"].flatten())\n            \n            # Prune low-opacity Gaussians\n            is_prune = opacities < self.prune_opa\n            \n            # Also prune oversized Gaussians\n            if step > self.reset_every:\n                is_prune = is_prune | (scale_max > self.prune_scale3d * scene_scale)\n            \n            if is_prune.sum() > 0:\n                remove(params=params, optimizers=optimizers, state=state, mask=is_prune)\n            \n            # Reset statistics after densification\n            state[\"grad2d\"].zero_()\n            state[\"count\"].zero_()\n            state[\"grad2d_max\"].zero_()\n            state[\"view_count\"].zero_()\n            torch.cuda.empty_cache()\n\n        # Periodic opacity reset (independent of densification)\n        if step % self.reset_every == 0 and step > 0:\n            reset_opa(params=params, optimizers=optimizers, state=state,\n                      value=self.prune_opa * 2.0)"
7}
Tool ResultStep 8
OK: Replaced lines 78..196 with 120 line(s) in gsplat/custom_strategy.py. Editable range: 20–205.

[Current file: gsplat/custom_strategy.py | editable: 20–205 | total: 197 lines]
    17| 
    18| 
    19| # ============================================================================
    20  # ============================================================================
    21  # Densification Strategy (EDITABLE REGION: lines 20-90)
    22  # ============================================================================
    23  
    24  @dataclass
    25  class CustomStrategy(Strategy):
    26      """Adaptive Percentile Gradient with View Consistency Weighting.
    27      
    28      Key innovations:
    29      1. Adaptive gradient thresholds using percentiles (top_k_split, top_k_clone)
    30      2. View consistency weighting: gradients weighted by visibility count
    31      3. Soft opacity reset: gradual decay of low-opacity Gaussians
    32      4. Scale-adaptive splitting: large
AssistantStep 9test
Tool ResultStep 9
[Test #3] (0 tests remaining)

### garden (scripts/train_garden.sh)
Training results:
Loaded 161 train, 24 val images. Scene scale: 1.23
Initialized 138766 Gaussians
TRAIN_METRICS: step=5000, loss=0.0277, l1=0.0181, ssim_loss=0.0662, num_gs=5516198
Traceback (most recent call last):
File "/home/yangyucheng/MLS-Bench-main/vendor/workspace/cv-3dgs-densification/deepseek-reasoner_20260419_090603/gsplat/train_gsplat.py", line 370, in <module>
File "/home/yangyucheng/MLS-Bench-main/vendor/workspace/cv-3dgs-densification/deepseek-reasoner_20260419_090603/gsplat/train_gsplat.py", line 327, in train
File "/home/yangyucheng/MLS-Bench-main/vendor/workspace/cv-3dgs-densification/deepseek-reasoner_20260419_090603/gsplat/custom_strategy.py", line 137, in step_post_backward
RuntimeError: quantile() input tensor is too large

### bicycle (scripts/train_bicycle.sh)
Training results:
Loaded 169 train, 25 val images. Scene scale: 1.30
Initialized 54275 Gaussians
TRAIN_METRICS: step=5000, loss=0.0949, l1