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## Hardware Requirements
| Stage | GPUs | VRAM Each | Duration | Cost (Cloud) |
|-------|------|-----------|----------|-------------|
| VAE Pre-training | 8× A100 (80GB) | 80GB | 7 days | ~$15K |
| Structure DiT | 32× A100 (80GB) | 80GB | 14 days | ~$30K |
| Material DiT | 16× A100 (80GB) | 80GB | 7 days | ~$15K |
| Fine-tuning | 8× A100 (80GB) | 80GB | 3 days | ~$5K |
| **Total** | **Variable** | — | **~4 weeks** | **~$65K** |
Minimum viable: 8× A100 (all stages, longer duration)
Budget option: 8× RTX 4090 (48GB) — requires gradient accumulation, ~2× longer
## Stage 1: SLAT-Interior VAE Pre-training
### Architecture
- **Encoder**: Sparse 3D convolutional U-Net
- Input: Dense occupancy grid O ∈ {0,1}^N³ where N=256/512/1024
- Sparse convolution layers with channel-to-space shortcuts
- 16× spatial compression (1024³ → 64³ latent)
- **Decoder**:
- Sparse conv upsampler with skip connections
- Early-pruning: predict binary mask for active children before upsampling
- Outputs: per-voxel shape features + material features
### Training Configuration
```yaml
# configs/vae_pretrain.yaml
model:
latent_dim: 64
base_resolution: 256
target_resolution: 1024
optimizer:
type: AdamW
lr: 1.0e-4
weight_decay: 0.01
betas: [0.9, 0.999]
scheduler:
type: cosine_with_restarts
warmup_steps: 10000
training:
batch_size: 8 # per GPU
num_gpus: 8
effective_batch_size: 64
max_steps: 200000
gradient_accumulation: 1
mixed_precision: bf16
curriculum:
- resolution: 256
steps: 50000
lr: 1.0e-4
- resolution: 512
steps: 100000
lr: 1.0e-4
- resolution: 1024
steps: 50000
lr: 5.0e-5
data:
dataset: InteriorFusion-Train
num_workers: 8
pin_memory: true
loss:
reconstruction:
weight: 1.0
type: l1
kl_divergence:
weight: 1.0e-3
depth_consistency:
weight: 0.5
type: l1
normal_consistency:
weight: 0.3
type: cosine
edge_preservation:
weight: 0.2
type: l1
```
### Loss Functions
```python
def vae_loss(pred_shape, pred_material, target_shape, target_material,
pred_depth, target_depth, pred_normal, target_normal, mu, logvar):
# Reconstruction
loss_recon = F.l1_loss(pred_shape, target_shape) + \
F.l1_loss(pred_material, target_material)
# KL divergence
loss_kl = -0.5 * torch.sum(1 + logvar - mu.pow(2) - logvar.exp())
loss_kl = loss_kl * 1e-3
# Depth consistency
loss_depth = F.l1_loss(pred_depth, target_depth)
# Normal consistency
loss_normal = 1 - F.cosine_similarity(pred_normal, target_normal, dim=-1).mean()
return loss_recon + loss_kl + 0.5 * loss_depth + 0.3 * loss_normal
```
## Stage 2: Structure DiT (Rectified Flow)
### Architecture
- **DiT model**: Flow-matching transformer
- Width: 1536
- Depth: 30 blocks
- Heads: 12
- MLP ratio: 8192
- Parameters: ~1.3B
- **Conditioning encoders**:
- Image: DINOv3-L (frozen, 1024-dim features)
- Depth: Custom CNN encoder (256-dim)
- Layout: Transformer encoder on SpatialLM tokens (512-dim)
- Semantic: Mask2Former feature pyramid (256-dim)
- **Conditioning fusion**: Cross-attention + AdaLN-single modulation
### Training Configuration
```yaml
# configs/dit_structure.yaml
model:
width: 1536
depth: 30
num_heads: 12
mlp_ratio: 8192
optimizer:
type: AdamW
lr: 1.0e-4
weight_decay: 0.01
scheduler:
type: linear_warmup_cosine
warmup_steps: 10000
training:
batch_size: 8 # per GPU
num_gpus: 32
effective_batch_size: 256
max_steps: 400000
mixed_precision: bf16
curriculum:
- resolution: 256
steps: 100000
lr: 1.0e-4
- resolution: 512
steps: 200000
lr: 1.0e-4
- resolution: 1024
steps: 100000
lr: 2.0e-5
data:
dataset: InteriorFusion-Train
num_workers: 8
flow_matching:
sigma_min: 0.001
sigma_max: 80.0
p_mean: -1.2
p_std: 1.2
loss:
flow_matching:
weight: 1.0
depth_guidance:
weight: 0.3
```
### Flow Matching Loss
```python
def flow_matching_loss(model, x_1, cond_img, cond_depth, cond_layout, cond_semantic):
"""
Rectified flow matching for 3D generation.
x_1: target structured latent (from VAE encoder)
"""
# Sample noise
x_0 = torch.randn_like(x_1)
# Sample timestep
t = torch.rand(x_1.shape[0], device=x_1.device)
# Interpolate
x_t = (1 - t[:, None, None, None]) * x_0 + t[:, None, None, None] * x_1
# Model predicts velocity
v_pred = model(x_t, t, cond_img, cond_depth, cond_layout, cond_semantic)
# Target velocity
v_target = x_1 - x_0
# MSE loss
loss = F.mse_loss(v_pred, v_target)
return loss
```
## Stage 3: Material DiT
### Architecture
- Same DiT backbone as Stage 2
- Additional conditioning: generated geometry latent
- Output: per-voxel material features (albedo RGB, metallic, roughness, normal XYZ)
### Training
```yaml
# configs/dit_material.yaml
training:
batch_size: 16 # per GPU
num_gpus: 16
effective_batch_size: 256
max_steps: 200000
loss:
albedo:
weight: 1.0
type: l1
metallic_roughness:
weight: 0.5
type: l1
normal:
weight: 0.5
type: cosine
perceptual:
weight: 0.3
type: lpips
network: vgg
rendering:
weight: 0.5
type: mse # rendered vs ground truth
```
## Stage 4: Real-World Fine-tuning
### LoRA Configuration
```yaml
# configs/finetune_lora.yaml
lora:
rank: 32
alpha: 32
target_modules:
- "attention.qkv"
- "attention.proj"
- "mlp.fc1"
- "mlp.fc2"
dropout: 0.0
training:
batch_size: 4
num_gpus: 8
max_steps: 50000
lr: 1.0e-5
data:
dataset: InteriorFusion-Real # ScanNet + HM3D
weight: 1.0
```
### RL Fine-tuning (Optional)
```yaml
# configs/rl_finetune.yaml
rl:
algorithm: GRPO
group_size: 8
reward_weights:
depth_consistency: 0.25
point_cloud_consistency: 0.25
pose_stability: 0.25
edit_quality: 0.25
vggt_model: "microsoft/VGGT-1B" # For geometric rewards
training:
num_iterations: 10000
lr: 1.0e-6
kl_penalty: 0.01
```
## Distributed Training
### Using Accelerate / DeepSpeed
```bash
# Launch with DeepSpeed ZeRO-3
accelerate launch --config_file configs/accelerate_deepspeed.yaml \
scripts/train_vae.py --config configs/vae_pretrain.yaml
```
```yaml
# configs/accelerate_deepspeed.yaml
deep_speed_config:
zero_stage: 3
offload_optimizer_device: none
offload_param_device: none
gradient_accumulation_steps: 1
gradient_clipping: 1.0
train_batch_size: auto
train_micro_batch_size_per_gpu: auto
```
### LR Scaling for Distributed Training
Following Grendel-GS:
```python
def scale_lr_for_distributed(base_lr, batch_size):
"""Square root scaling for distributed training."""
return base_lr * math.sqrt(batch_size)
def scale_adam_betas_for_distributed(beta1, beta2, batch_size):
"""Exponential momentum scaling."""
return beta1 ** batch_size, beta2 ** batch_size
```
## Checkpointing & Resumption
```python
checkpoint = {
'model': model.state_dict(),
'optimizer': optimizer.state_dict(),
'scheduler': scheduler.state_dict(),
'step': step,
'epoch': epoch,
'best_val_loss': best_val_loss,
'config': OmegaConf.to_container(config),
}
torch.save(checkpoint, f'checkpoints/stage1_step{step}.pt')
```
## Validation Metrics
| Metric | Target | How to Compute |
|--------|--------|---------------|
| Chamfer Distance | < 0.01 | Point cloud comparison |
| F-Score @ 0.1 | > 0.80 | Precision/recall on surface |
| LPIPS | < 0.06 | Perceptual similarity |
| PSNR | > 28 | Rendering quality |
| SSIM | > 0.90 | Structural similarity |
| Layout IoU | > 0.85 | Room layout accuracy |
| Object Detection mAP | > 0.70 | Furniture detection |
| Scale Error | < 5% | Metric depth consistency |
|