lfj-code / transfer /code /CCFM /CCFM_Architecture.md
ethan1115's picture
Upload folder using huggingface_hub
0161e74 verified
|
Raw
History Blame Contribute Delete
19.1 kB
# CCFM (Cascaded Conditioned Flow Matching) ๆžถๆž„ๆ–‡ๆกฃ
## ไธ€ใ€้กน็›ฎๆฆ‚่ฟฐ
CCFM ๆ˜ฏไธ€ไธช**็บง่”ๆตๅŒน้…**ๆก†ๆžถ๏ผŒ่žๅˆไธ‰ไธชๆจกๅž‹็š„ไผ˜ๅŠฟๆฅๅšๅ•็ป†่ƒžๆ‰ฐๅŠจ้ข„ๆต‹๏ผš
- **scDFM**๏ผšๅŸบ็ก€ๆตๅŒน้…ๆžถๆž„๏ผˆbackboneใ€ๆ•ฐๆฎๅŠ ่ฝฝใ€่ฎญ็ปƒ่Œƒๅผ๏ผ‰
- **LatentForcing**๏ผš็บง่”ๅŒๆตๆ€ๆƒณ๏ผˆlatent ๆต + ่กจ่พพๆตๅˆ†้˜ถๆฎต็”Ÿๆˆ๏ผ‰
- **scGPT**๏ผšๅ†ป็ป“็š„้ข„่ฎญ็ปƒๆจกๅž‹๏ผŒๆไพ› per-gene ไธŠไธ‹ๆ–‡ๅŒ–็‰นๅพ
### ๆ ธๅฟƒๅˆ›ๆ–ฐ
ๅ€Ÿ้‰ด LatentForcing ็š„ๅŒๆตๆžถๆž„๏ผŒๅฐ†ๅ…ถไปŽๅ›พๅƒๅŸŸ่ฟ็งปๅˆฐๅ•็ป†่ƒžๅŸŸ๏ผš
| LatentForcing (ๅ›พๅƒ) | CCFM (ๅ•็ป†่ƒž) |
|---|---|
| ๅƒ็ด ๅ€ผ | ๅŸบๅ› ่กจ่พพๅ€ผ |
| DINO-v2 ็‰นๅพ๏ผˆ่พ…ๅŠฉ็”Ÿๆˆ็›ฎๆ ‡๏ผ‰ | scGPT ไธŠไธ‹ๆ–‡็‰นๅพ๏ผˆ่พ…ๅŠฉ็”Ÿๆˆ็›ฎๆ ‡๏ผ‰ |
| ็ฑปๅˆซๆ ‡็ญพ๏ผˆๆกไปถไฟกๅท๏ผ‰ | control ่กจ่พพ + perturbation_id๏ผˆๆกไปถไฟกๅท๏ผ‰ |
**ๅ…ณ้”ฎๅŒบๅˆ†**๏ผšscGPT ็‰นๅพๆ˜ฏไปŽ target๏ผˆๆ‰ฐๅŠจ็ป†่ƒž๏ผ‰ๆๅ–็š„**่พ…ๅŠฉ็”Ÿๆˆ็›ฎๆ ‡**๏ผŒไธๆ˜ฏๆกไปถไฟกๅทใ€‚ๆŽจ็†ๆ—ถๆจกๅž‹ไปŽๅ™ชๅฃฐ็”Ÿๆˆ scGPT ็‰นๅพ๏ผˆStage 1๏ผ‰๏ผŒๅ†็”จ็”Ÿๆˆ็š„็‰นๅพๅผ•ๅฏผ่กจ่พพๅ€ผ็”Ÿๆˆ๏ผˆStage 2๏ผ‰ใ€‚็œŸๆญฃ็š„ๆกไปถไฟกๅทๆ˜ฏ control ่กจ่พพๅ’Œ perturbation_id๏ผŒๅฎƒไปฌๅœจๆŽจ็†ๆ—ถๅง‹็ปˆๅฏ่Žทๅ–ใ€‚
### ๆ–‡ไปถ็ป“ๆž„
```
CCFM/
โ”œโ”€โ”€ _bootstrap_scdfm.py # Bootstrap scDFM ๆจกๅ—๏ผŒๅ‘ฝๅ็ฉบ้—ด้š”็ฆป
โ”œโ”€โ”€ config/
โ”‚ โ””โ”€โ”€ config_cascaded.py # CascadedFlowConfig dataclass (tyro CLI)
โ”œโ”€โ”€ src/
โ”‚ โ”œโ”€โ”€ __init__.py
โ”‚ โ”œโ”€โ”€ utils.py # Re-exports scDFM utils
โ”‚ โ”œโ”€โ”€ _scdfm_imports.py # scDFM ๆจกๅ—้›†ไธญๅฏผๅ…ฅ
โ”‚ โ”œโ”€โ”€ denoiser.py # CascadedDenoiser (่ฎญ็ปƒ/ๆŽจ็†้€ป่พ‘)
โ”‚ โ”œโ”€โ”€ model/
โ”‚ โ”‚ โ”œโ”€โ”€ model.py # CascadedFlowModel ๅŒๆตๆจกๅž‹
โ”‚ โ”‚ โ””โ”€โ”€ layers.py # LatentEmbedder, LatentDecoder
โ”‚ โ””โ”€โ”€ data/
โ”‚ โ”œโ”€โ”€ data.py # scDFM ๆ•ฐๆฎๅŠ ่ฝฝ้›†ๆˆ
โ”‚ โ””โ”€โ”€ scgpt_extractor.py # FrozenScGPTExtractor
โ”œโ”€โ”€ scripts/
โ”‚ โ”œโ”€โ”€ run_cascaded.py # ่ฎญ็ปƒ/่ฏ„ไผฐๅ…ฅๅฃ
โ”‚ โ””โ”€โ”€ download_scgpt.py # ไธ‹่ฝฝ scGPT ้ข„่ฎญ็ปƒๆจกๅž‹
โ”œโ”€โ”€ run.sh # pjsub ๆจกๆฟ
โ””โ”€โ”€ run_topk30_neg.sh # ๅฎŒๆ•ดๅ‚ๆ•ฐๅŒ– job ่„šๆœฌ
```
### ้ป˜่ฎค่ถ…ๅ‚ๆ•ฐ
| ๅ‚ๆ•ฐ | ๅ€ผ | ่ฏดๆ˜Ž |
|---|---|---|
| `B` | 48 | batch size |
| `G_full` | 5000 | HVG ๆ€ปๆ•ฐ |
| `G` | 1000 | ่ฎญ็ปƒๆ—ถ้šๆœบๅŸบๅ› ๅญ้›† |
| `d_model` | 128 | ้š่—็ปดๅบฆ |
| `scgpt_dim` | 512 | scGPT ่พ“ๅ‡บ็‰นๅพ็ปดๅบฆ |
| `bottleneck_dim` | 128 | LatentEmbedder ็“ถ้ขˆ็ปดๅบฆ |
| `nhead` | 8 | ๆณจๆ„ๅŠ›ๅคดๆ•ฐ |
| `nlayers` | 4 | Transformer ๅฑ‚ๆ•ฐ |
| `dh_depth` | 2 | LatentDecoder block ๆ•ฐ |
| `choose_latent_p` | 0.4 | ่ฎญ็ปƒ latent ๆต็š„ๆฆ‚็އ |
| `latent_weight` | 1.0 | latent loss ๆƒ้‡ |
| `gamma` | 0.5 | MMD loss ๆƒ้‡ |
| `lr` | 5e-5 | ๅญฆไน ็އ |
| `steps` | 200000 | ่ฎญ็ปƒๆ€ปๆญฅๆ•ฐ |
| `latent_steps` | 20 | ๆŽจ็† ODE ๆญฅๆ•ฐ๏ผˆlatent๏ผ‰ |
| `expr_steps` | 20 | ๆŽจ็† ODE ๆญฅๆ•ฐ๏ผˆ่กจ่พพ๏ผ‰ |
| `warmup_batches` | 200 | scGPT running stats ้ข„็ƒญ |
---
## ไบŒใ€่ฎญ็ปƒๆต็จ‹ Tensor ๆ•ฐๆฎๆต
### 2.1 ๆ•ฐๆฎๅ‡†ๅค‡
```
่พ“ๅ…ฅ:
source: (B, G_full=5000) ๆŽงๅˆถ็ป„่กจ่พพ
target: (B, G_full=5000) ๆ‰ฐๅŠจๅŽ่กจ่พพ
perturbation_id: (B, 2) ๆ‰ฐๅŠจ token ID
gene_ids: (G_full=5000,) ๅ…จ้ƒจๅŸบๅ› ็š„ vocab ID
้šๆœบ้‡‡ๆ ท 1000 ไธชๅŸบๅ› :
input_gene_ids = randperm(5000)[:1000] โ†’ (1000,)
source_sub = source[:, input_gene_ids] โ†’ (48, 1000)
target_sub = target[:, input_gene_ids] โ†’ (48, 1000)
gene_input = gene_ids[input_gene_ids].expand โ†’ (48, 1000)
```
### 2.2 ๅ†ป็ป“ scGPT ๆๅ–่พ…ๅŠฉ็”Ÿๆˆ็›ฎๆ ‡๏ผˆ็ฑปไผผ LatentForcing ็š„ DINO ็‰นๅพๆๅ–๏ผ‰
```
scgpt_extractor.extract(target_sub, gene_indices=input_gene_ids):
target_sub: (48, 1000) ่พ“ๅ…ฅ่กจ่พพ
hvg_ids: (1000,) HVG โ†’ scGPT vocab ID ๆ˜ ๅฐ„
valid_mask: (1000,) bool, ่ฟ‡ๆปคๅœจ scGPT vocab ไธญ็š„ๅŸบๅ› 
expr_valid: (48, G_valid) ๆœ‰ๆ•ˆๅŸบๅ› ็š„่กจ่พพๅ€ผ
่‹ฅ G_valid+1 > max_seq_len(1200):
้šๆœบ้‡‡ๆ ท 1199 ไธชๅŸบๅ› 
seq_len = 1200
ๅฆๅˆ™:
seq_len = G_valid + 1
ๆ‹ผๆŽฅ CLS token:
src = [cls_id | gene_ids] โ†’ (48, seq_len) long
values = [0 | expr_valid] โ†’ (48, seq_len) float
scGPT frozen forward:
encoder_out = scgpt._encode(src, values, mask) โ†’ (48, seq_len, 512)
ๅŽปๆމ CLS, scatter ๅ›žๅ›บๅฎšไฝ็ฝฎ:
gene_features = encoder_out[:, 1:, :] โ†’ (48, seq_len-1, 512)
output = zeros(48, 1000, 512)
output.scatter_(1, idx, gene_features) โ†’ (48, 1000, 512)
ๅฝ’ไธ€ๅŒ– (running mean/var, warmup 200 batches ๅŽๅ†ป็ป“):
output = (output - running_mean) / sqrt(running_var) * target_std
z_target: (48, 1000, 512)
```
### 2.3 ็บง่”ๆ—ถ้—ด้‡‡ๆ ท
```
t_latent = rand(48) โ†’ (48,)
t_expr = rand(48) โ†’ (48,)
choose_latent_mask = rand(48) < 0.4 โ†’ (48,) bool
ๅฏนๆฏไธชๆ ทๆœฌไบŒ้€‰ไธ€:
่‹ฅ mask=True (40%ๆฆ‚็އ): t_latent ไฟ็•™, t_expr=0, w_expr=0, w_latent=1 โ†’ ่ฎญ็ปƒ latent ๆต
่‹ฅ mask=False (60%ๆฆ‚็އ): t_expr ไฟ็•™, t_latent=1, w_expr=1, w_latent=0 โ†’ ่ฎญ็ปƒ่กจ่พพๆต
่พ“ๅ‡บ:
t_expr: (48,) ่กจ่พพๆตๆ—ถ้—ดๆญฅ
t_latent: (48,) ๆฝœๅ˜้‡ๆตๆ—ถ้—ดๆญฅ
w_expr: (48,) ่กจ่พพ loss ๆƒ้‡ (0 ๆˆ– 1)
w_latent: (48,) ๆฝœๅ˜้‡ loss ๆƒ้‡ (0 ๆˆ– 1)
```
### 2.4 Flow Path ้‡‡ๆ ท๏ผˆ็บฟๆ€งๆ’ๅ€ผ + ้€Ÿๅบฆ๏ผ‰
```
่กจ่พพๆต:
noise_expr = randn_like(source_sub) โ†’ (48, 1000)
path_expr = AffineProbPath.sample(t_expr, noise_expr, target_sub)
path_expr.x_t = (1-t)*noise + t*target โ†’ (48, 1000) ๆ’ๅ€ผๅŽ็š„ๅ™ชๅฃฐ่กจ่พพ
path_expr.dx_t = target - noise โ†’ (48, 1000) ็›ฎๆ ‡้€Ÿๅบฆ (ground truth)
ๆฝœๅ˜้‡ๆต:
noise_latent = randn_like(z_target) โ†’ (48, 1000, 512)
ๅฑ•ๅนณ:
z_target_flat = z_target.reshape(48, 512000) โ†’ (48, 512000)
noise_latent_flat = noise_latent.reshape(48, 512000) โ†’ (48, 512000)
path_latent_flat = AffineProbPath.sample(t_latent, noise_latent_flat, z_target_flat)
่ฟ˜ๅŽŸ:
path_latent.x_t = reshape โ†’ (48, 1000, 512) ๆ’ๅ€ผๅŽ็š„ๅ™ชๅฃฐ latent
path_latent.dx_t = reshape โ†’ (48, 1000, 512) ็›ฎๆ ‡้€Ÿๅบฆ
```
### 2.5 ๆจกๅž‹ๅ‰ๅ‘ไผ ๆ’ญ (`CascadedFlowModel.forward`)
```
่พ“ๅ…ฅ:
gene_input: (48, 1000) ๅŸบๅ›  token ID
source_sub: (48, 1000) ๆบ่กจ่พพ
path_expr.x_t: (48, 1000) ๅ™ชๅฃฐ่กจ่พพ
path_latent.x_t: (48, 1000, 512) ๅ™ชๅฃฐ latent
t_expr: (48,)
t_latent: (48,)
perturbation_id: (48, 2)
```
#### Step 5a: ่กจ่พพๆต Embedding
```
gene_emb = GeneEncoder(gene_input) โ†’ (48, 1000, 128)
val_emb_1 = ContinuousValueEncoder(x_t) โ†’ (48, 1000, 128) encoder_1 = ๅ™ชๅฃฐ target (ๅŒ scDFM)
val_emb_2 = ContinuousValueEncoder(source_sub) โ†’ (48, 1000, 128) encoder_2 = control (ๅŒ scDFM)
expr_tokens = fusion_layer(cat[val_emb_1, val_emb_2]) + gene_emb
= Linear(256โ†’128) โ†’ GELU โ†’ Linear(128โ†’128) โ†’ LN + gene_emb โ†’ (48, 1000, 128)
```
> **่ฎพ่ฎก่ฏดๆ˜Ž**๏ผˆไธŽ scDFM ๅฏน้ฝ๏ผ‰๏ผš
> - `value_encoder_1` ็ผ–็ ๅ™ชๅฃฐ target๏ผˆ`x_t`๏ผ‰๏ผŒ`value_encoder_2` ็ผ–็  control๏ผˆ`source`๏ผ‰๏ผŒไธŽ scDFM ่ง’่‰ฒไธ€่‡ด
> - `gene_emb` ๅชๅœจ่žๅˆๅŽๅŠ ไธ€ๆฌก๏ผˆๅŽปๅ†—ไฝ™๏ผ‰๏ผŒ่€Œ้žๅˆ†ๅˆซๅŠ ๅˆฐไธคไธช encoder ็š„่พ“ๅ‡บไธŠ
> - `val_emb_2`๏ผˆcontrol ๅตŒๅ…ฅ๏ผ‰ไผ ๅ…ฅ backbone ็š„ DiffPerceiverBlock ไฝœไธบไบคๅ‰ๆณจๆ„ๅŠ› KV๏ผˆ็จณๅฎšๅ‚่€ƒๅŸบ็บฟ๏ผ‰
#### Step 5b: ๆฝœๅ˜้‡ๆต Embedding
```
latent_tokens = LatentEmbedder(path_latent.x_t)
= Linear(512โ†’128) โ†’ GELU โ†’ Linear(128โ†’128) โ†’ (48, 1000, 128)
```
#### Step 5c: ๅŒๆต่žๅˆ
```
x = expr_tokens + latent_tokens โ†’ (48, 1000, 128)
```
#### Step 5d: ๆกไปถๅ‘้‡
```
t_expr_emb = TimestepEmbedder(t_expr) โ†’ (48, 128)
t_latent_emb = TimestepEmbedder(t_latent) โ†’ (48, 128)
pert_emb = GeneEncoder(perturbation_id).mean(dim=1) โ†’ (48, 128)
# perturbation_id: (48,2) โ†’ encoder โ†’ (48,2,128) โ†’ mean โ†’ (48,128)
c = t_expr_emb + t_latent_emb + pert_emb โ†’ (48, 128)
```
#### Step 5e: ๅ…ฑไบซ Backbone (4 ๅฑ‚ DiffPerceiverBlock)
```
for i in range(4):
# GeneadaLN: ็”จ gene_emb ่ฐƒๅˆถ x
x = gene_adaLN[i](gene_emb, x) โ†’ (48, 1000, 128)
# Adapter: ๆ‹ผๆŽฅ pert_emb ๅŽ้™็ปด
pert_exp = pert_emb[:, None, :].expand(-1, 1000, -1) โ†’ (48, 1000, 128)
x = cat[x, pert_exp] โ†’ (48, 1000, 256)
x = adapter_layer[i](x)
= Linear(256โ†’128) โ†’ LeakyReLU โ†’ Linear(128โ†’128) โ†’ LeakyReLU
โ†’ (48, 1000, 128)
# DiffPerceiverBlock: attention + MLP, ็”จ c ๅš AdaLN ๆกไปถ
x = DiffPerceiverBlock(x, val_emb_2, c) โ†’ (48, 1000, 128)
```
#### Step 5f: ่กจ่พพ Decoder Head
```
x_with_pert = cat[x, pert_exp] โ†’ (48, 1000, 256)
pred_v_expr = ExprDecoder(x_with_pert)["pred"] โ†’ (48, 1000)
```
#### Step 5g: Latent Decoder Head
```
h = dh_proj(x) # Linear(128โ†’128) โ†’ (48, 1000, 128)
for j in range(2): # dh_depth=2
# AdaLN: c โ†’ SiLU โ†’ Linear(128โ†’768) โ†’ chunk 6
shift_msa, scale_msa, gate_msa,
shift_mlp, scale_mlp, gate_mlp = adaLN_modulation(c) ๅ„ (48, 128)
# Self-Attention with AdaLN
h_norm = LayerNorm(h) * (1+scale_msa[:,None,:]) + shift_msa[:,None,:]
โ†’ (48, 1000, 128)
h_attn = MultiheadAttention(h_norm, h_norm, h_norm) โ†’ (48, 1000, 128)
h = h + gate_msa[:,None,:] * h_attn โ†’ (48, 1000, 128)
# MLP with AdaLN
h_norm = LayerNorm(h) * (1+scale_mlp[:,None,:]) + shift_mlp[:,None,:]
โ†’ (48, 1000, 128)
h_mlp = Linear(128โ†’512) โ†’ GELU โ†’ Linear(512โ†’128) โ†’ (48, 1000, 128)
h = h + gate_mlp[:,None,:] * h_mlp โ†’ (48, 1000, 128)
pred_v_latent = final(h)
= LN โ†’ Linear(128โ†’128) โ†’ GELU โ†’ Linear(128โ†’512) โ†’ (48, 1000, 512)
```
### 2.6 Loss ่ฎก็ฎ—
```
loss_expr = MSE(pred_v_expr - path_expr.dx_t) * w_expr[:, None]
= ((48,1000) - (48,1000))^2 * (48,1) โ†’ mean โ†’ scalar
ๅชๅฏน w_expr=1 ็š„ๆ ทๆœฌๆœ‰่ดก็Œฎ (็บฆ60%)
loss_latent = MSE(pred_v_latent - path_latent.dx_t) * w_latent[:, None, None]
= ((48,1000,512) - (48,1000,512))^2 * (48,1,1) โ†’ mean โ†’ scalar
ๅชๅฏน w_latent=1 ็š„ๆ ทๆœฌๆœ‰่ดก็Œฎ (็บฆ40%)
loss = loss_expr + latent_weight * loss_latent
ๅฏ้€‰ MMD loss (ๅฏน w_expr>0 ็š„ๆ ทๆœฌ):
x1_hat = x_t + pred_v_expr * (1-t_expr) # ๅ•ๆญฅ้‡ๅปบ โ†’ (N_expr, 1000)
mmd_loss = mmd2_unbiased_multi_sigma(x1_hat, target_sub) โ†’ scalar
loss += gamma * mmd_loss
```
### 2.7 ่ฎญ็ปƒๅพช็Žฏ
```
for iteration in range(200000):
batch โ†’ source(48, 5000), target(48, 5000), pert_id(48, 2)
loss = denoiser.train_step(source, target, pert_id, gene_ids, infer_top_gene=1000)
optimizer.zero_grad()
accelerator.backward(loss)
optimizer.step()
scheduler.step() # CosineAnnealing
if iteration % 5000 == 0:
save checkpoint + run evaluation
```
---
## ไธ‰ใ€ๆŽจ็†ๆต็จ‹ Tensor ๆ•ฐๆฎๆต
ๆŽจ็†ๆ—ถ**ไธ่ฐƒ็”จ scGPT ็ผ–็ ๅ™จ**๏ผŒๆจกๅž‹ไปŽๅ™ชๅฃฐ่‡ช่กŒ็”Ÿๆˆ latent๏ผˆ่พ…ๅŠฉ่ฏญไน‰่กจๅพ๏ผ‰ใ€‚็”จ**ๅ…จ้ƒจ 5000 ไธชๅŸบๅ› **๏ผŒไธๅšๅญ้›†้‡‡ๆ ทใ€‚
ๆกไปถไฟกๅท๏ผˆcontrol ่กจ่พพ + perturbation_id๏ผ‰ๅœจๆฏไธช ODE ๆญฅไธญๆŒ็ปญๆไพ›ใ€‚
```
่พ“ๅ…ฅ:
source: (B, 5000) ๆŽงๅˆถ็ป„่กจ่พพ
perturbation_id: (B, 2) ๆ‰ฐๅŠจ ID
gene_ids: (B, 5000) ๅŸบๅ›  vocab ID
```
### 3.1 Stage 1: ็”Ÿๆˆ Latent๏ผˆt_latent: 0โ†’1, t_expr ๅ›บๅฎš=0๏ผ‰
```
z_noise = randn(B, 5000, 512) ๅˆๅง‹ๅ™ชๅฃฐ
ODE ๆฑ‚่งฃ (RK4, 20ๆญฅ, t โˆˆ [0,1]):
ๆฏไธ€ๆญฅ่ฐƒ็”จ latent_vf(t, z_t):
t_latent = t.expand(B) โ†’ (B,) ๅฝ“ๅ‰ๆ—ถ้—ดๆญฅ
t_expr = zeros(B) โ†’ (B,) ๅ›บๅฎšไธบ 0
model.forward(
gene_ids, (B, 5000)
source, (B, 5000) ๆบ่กจ่พพ
source, (B, 5000) โ† ๆณจๆ„: x_t ็”จ source (ๅ› ไธบ t_expr=0)
z_t, (B, 5000, 512) ๅฝ“ๅ‰ latent ็Šถๆ€
t_expr=0, (B,)
t_latent=t, (B,)
perturbation_id, (B, 2)
)
โ†’ _, v_latent (B, 5000, 512) latent ้€Ÿๅบฆๅœบ
return v_latent
z_traj = odeint(latent_vf, z_noise, linspace(0,1,20))
โ†’ (20, B, 5000, 512)
z_generated = z_traj[-1] โ†’ (B, 5000, 512) โ˜… ็”Ÿๆˆ็š„ latent
```
### 3.2 Stage 2: ็”จ็”Ÿๆˆ็š„ Latent ๅผ•ๅฏผ่กจ่พพ็”Ÿๆˆ๏ผˆt_expr: 0โ†’1, t_latent ๅ›บๅฎš=1๏ผ‰
```
expr_noise = randn_like(source) โ†’ (B, 5000) ้ซ˜ๆ–ฏๅ™ชๅฃฐ (ๆˆ– Poisson)
ODE ๆฑ‚่งฃ (RK4, 20ๆญฅ, t โˆˆ [0,1]):
ๆฏไธ€ๆญฅ่ฐƒ็”จ expr_vf(t, x_t):
t_expr = t.expand(B) โ†’ (B,) ๅฝ“ๅ‰ๆ—ถ้—ดๆญฅ
t_latent = ones(B) โ†’ (B,) ๅ›บๅฎšไธบ 1 (latent ๅทฒๅฎŒๆˆ)
model.forward(
gene_ids, (B, 5000)
source, (B, 5000)
x_t, (B, 5000) โ† ๅฝ“ๅ‰ๅ™ชๅฃฐ่กจ่พพ
z_generated, (B, 5000, 512) โ˜… Stage 1 ็š„็ป“ๆžœ (ๅ›บๅฎš)
t_expr=t, (B,)
t_latent=1, (B,)
perturbation_id, (B, 2)
)
โ†’ v_expr, _ (B, 5000) ่กจ่พพ้€Ÿๅบฆๅœบ
return v_expr
x_traj = odeint(expr_vf, expr_noise, linspace(0,1,20))
โ†’ (20, B, 5000)
x_generated = clamp(x_traj[-1], min=0) โ†’ (B, 5000) โ˜… ๆœ€็ปˆ้ข„ๆต‹่กจ่พพ
```
### 3.3 ่ฏ„ไผฐๆต็จ‹
```
ๅฏนๆฏไธชๆ‰ฐๅŠจๆกไปถ:
source = ้šๆœบ้‡‡ๆ ท 128 ไธชๆŽงๅˆถ็ป†่ƒž โ†’ (128, 5000)
ๆŒ‰ batch_size ่ฐƒ็”จ generate:
pred = denoiser.generate(source, pert_id, gene_ids) โ†’ (128, 5000)
ๆฑ‡ๆ€ป:
pred_adata = AnnData(X=ๆ‰€ๆœ‰้ข„ๆต‹่กจ่พพ, obs=ๆ‰ฐๅŠจๆ ‡็ญพ)
real_adata = AnnData(X=ๆ‰€ๆœ‰็œŸๅฎž่กจ่พพ, obs=ๆ‰ฐๅŠจๆ ‡็ญพ)
MetricsEvaluator(pred_adata, real_adata) โ†’ results.csv, agg_results.csv
```
---
## ๅ››ใ€่ฎญ็ปƒ vs ๆŽจ็† ๅฏนๆฏ”ๆ€ป็ป“
| ็ปดๅบฆ | ่ฎญ็ปƒ | ๆŽจ็† |
|---|---|---|
| ๅŸบๅ› ๆ•ฐ | ้šๆœบ้‡‡ๆ ท G=1000 | ๅ…จ้‡ G=5000 |
| scGPT ็‰นๅพ๏ผˆ่พ…ๅŠฉ็”Ÿๆˆ็›ฎๆ ‡๏ผ‰ | ๅ†ป็ป“ๆๅ– target ็‰นๅพ `z_target` ไฝœไธบ latent ๆต็š„็”Ÿๆˆ็›ฎๆ ‡ | **ไธไฝฟ็”จ**๏ผŒๆจกๅž‹ไปŽๅ™ชๅฃฐ่‡ช่กŒ็”Ÿๆˆ latent๏ผˆStage 1๏ผ‰ |
| ๆ—ถ้—ดๆญฅ | ็บง่”้‡‡ๆ ท๏ผš40% ่ฎญ็ปƒ latent, 60% ่ฎญ็ปƒ่กจ่พพ | ไธค้˜ถๆฎตไธฒ่กŒ๏ผšๅ…ˆ latent(0โ†’1), ๅ†่กจ่พพ(0โ†’1) |
| ๆต้‡‡ๆ ท | ๅ•ๆญฅ๏ผš`x_t = (1-t)*noise + t*target` | ODE ็งฏๅˆ†๏ผšRK4, 20 ๆญฅ |
| Loss | MSE(velocity) + MMD | ๆ—  |
| ่พ“ๅ‡บ | scalar loss | `(B, G_full)` ่กจ่พพ็Ÿฉ้˜ต |
| ๆกไปถไฟกๅท | control + pert_id๏ผˆ็œŸๆกไปถ๏ผ‰๏ผ›scGPT ็‰นๅพๆ˜ฏ็”Ÿๆˆ็›ฎๆ ‡ | control + pert_id๏ผˆๆฏๆญฅ่พ“ๅ…ฅ๏ผ‰๏ผ›latent ็”ฑ Stage1 ็”Ÿๆˆ |
| ๆ—ถ้—ดๆญฅ | `t_expr` ๅ’Œ `t_latent` ้šๆœบ๏ผŒไบ’ๆ–ฅๆฟ€ๆดป | Stage1: `t_expr=0, t_latentโˆˆ[0,1]`; Stage2: `t_latent=1, t_exprโˆˆ[0,1]` |
---
## ไบ”ใ€ๆจกๅž‹ๆžถๆž„ๆ€ป่งˆๅ›พ
```
โ”Œโ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”
โ”‚ CascadedFlowModel โ”‚
โ”‚ โ”‚
gene_id (B,G) โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ†’โ”‚ GeneEncoder โ”€โ”€โ†’ gene_emb (B,G,d) โ”‚
โ”‚ โ”‚ โ”‚
x_t (B,G) โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ†’โ”‚ ValEnc1 โ”€โ”€โ†’ val_emb_1 (B,G,d) ๅ™ชๅฃฐtarget โ”‚
source (B,G) โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ†’โ”‚ ValEnc2 โ”€โ”€โ†’ val_emb_2 (B,G,d) control โ”‚
โ”‚ โ”‚ โ”‚
โ”‚ fusion_layer(cat[val_emb_1, val_emb_2]) โ”‚
โ”‚ + gene_emb (่žๅˆๅŽๅŠ ไธ€ๆฌก) โ”‚
โ”‚ โ†“ โ”‚
โ”‚ expr_tokens (B,G,d) โ”‚
โ”‚ โ”‚ โ”‚
z_t (B,G,512) โ”€โ”€โ”€โ”€โ”€โ”€โ†’โ”‚ LatentEmbedder(512โ†’128โ†’d) โ”‚
โ”‚ โ†“ โ”‚
โ”‚ latent_tokens (B,G,d) โ”‚
โ”‚ โ”‚ โ”‚
โ”‚ x = expr_tokens + latent_tokens (B,G,d) โ”‚
โ”‚ โ”‚
t_expr (B,) โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ†’โ”‚ TimestepEmb โ”€โ”€โ” โ”‚
t_latent (B,) โ”€โ”€โ”€โ”€โ”€โ”€โ†’โ”‚ TimestepEmb โ”€โ”€โ”ผโ†’ c = sum (B,d) โ”‚
pert_id (B,2) โ”€โ”€โ”€โ”€โ”€โ”€โ†’โ”‚ PertEmb โ”€โ”€โ”€โ”€โ”€โ”€โ”˜ โ”‚
โ”‚ โ”‚
โ”‚ โ”Œโ”€ 4x DiffPerceiverBlock โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ” โ”‚
โ”‚ โ”‚ gene_adaLN(gene_emb, x) โ”‚ โ”‚
โ”‚ โ”‚ cat[x, pert_emb] โ†’ adapter โ†’ x โ”‚ โ”‚
โ”‚ โ”‚ DiffPerceiverBlock(x, val_emb_2, c) โ”‚ โ”‚
โ”‚ โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜ โ”‚
โ”‚ โ”‚ โ”‚
โ”‚ โ”œโ”€โ”€โ†’ ExprDecoder(cat[x, pert]) โ”€โ”€โ†’ pred_v_expr (B,G)
โ”‚ โ”‚ โ”‚
โ”‚ โ””โ”€โ”€โ†’ LatentDecoder(x, c) โ”‚
โ”‚ dh_proj โ†’ 2x AdaLN Block โ”‚
โ”‚ โ†’ final proj โ”€โ”€โ†’ pred_v_latent (B,G,512)
โ””โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”˜
```