شبكة عصبية ديب بي إم لأوزان مخاطر المحفظة عبر الأصول
الملخص
يصف هذا المستند بنية شبكة سياسة عصبية تحول السلاسل الزمنية على مستوى الأصول والسياق إلى أوزان مخاطر محفظة محدودة. ويجمع عمودها الفقري لكل أصل تضمينات السياق وتعديل السمات واختيار المتغيرات وLSTM والانتباه الزمني السببي. ثم يعالج العلاقات بين الأصول باستخدام انتباه مقطعي متأخر، ويمكنه اختياريًا تطبيق انتباه مقيد برسم بياني للتجاور الاقتصادي الكلي.
قد يرمّز السياق الثابت هوية الأصل وعضويته في مجموعة وتكاليف التداول، بينما تتعامل الأقنعة مع الأصول غير المتاحة. ويستخدم رأس المخرجات دالة الظل الزائدي ويطبق قناع الأصول، منتجًا أوزانًا بين سالب واحد وموجب واحد للأصول الصالحة. ويشرح المستند مكونات البنية والضمانات ضد صفوف الانتباه التي لا تحتوي على مفاتيح صالحة، لكنه لا يقدم إجراء تدريب أو نتائج تداول أو مقارنة معيارية أو دليلًا على تحسين البنية لأداء المحفظة. لذلك يدعم الوصف فهم تصميم النموذج وحده، لا الحكم على فاعليته التجريبية.
الأفكار الرئيسية
- يمكن لسياق الأصول تكييف سمات الإدخال والحالات الخفية المتكررة.
- يجمع اختيار المتغيرات السمات باستخدام أوزان تعتمد على السياق.
- يستخدم النموذج طبقات متكررة وانتباه سببي لتمثيل الأنماط الزمنية.
- يمثل الانتباه المقطعي المتأخر وقناع الرسم البياني الاختياري العلاقات بين الأصول.
- ينتج رأس المخرجات المحدود أوزان مخاطر بإشارات موجبة أو سالبة مع مراعاة توافر الأصول.
الوسوم
النص الكامل
# model.py
```py
"""PyTorch implementation of the DeePM deep portfolio manager.
Architecture components:
1. Per-asset temporal backbone (shared weights): FiLM conditioning, variable
selection, LSTM, temporal self-attention.
2. Cross-sectional attention with Directed Delay for causality.
3. Macroeconomic graph prior as adjacency-masked attention.
4. Output: bounded risk weight p_{i,t} in (-1, 1) via tanh.
"""
from __future__ import annotations
import torch
from torch import nn
from .configs import ModelConfig
from .utils import causal_attention_mask
class StaticContextEncoder(nn.Module):
"""Encode per-asset static context (asset id, group id, costs)."""
def __init__(
self,
*,
n_assets: int,
n_groups: int | None,
cfg: ModelConfig,
) -> None:
super().__init__()
self.cfg = cfg
self.asset_emb = nn.Embedding(n_assets, cfg.asset_embedding_dim)
self.group_emb: nn.Embedding | None = None
if cfg.use_group_embedding:
if n_groups is None:
raise ValueError("n_groups required when use_group_embedding is True")
self.group_emb = nn.Embedding(n_groups, cfg.group_embedding_dim)
self.include_cost = cfg.use_cost_in_context
@property
def context_dim(self) -> int:
dim = self.cfg.asset_embedding_dim
if self.group_emb is not None:
dim += self.cfg.group_embedding_dim
if self.include_cost:
dim += 1
return dim
def forward(
self,
*,
asset_ids: torch.Tensor,
group_ids: torch.Tensor | None,
costs: torch.Tensor | None,
) -> torch.Tensor:
"""Return context embedding of shape (N, C)."""
emb_list = [self.asset_emb(asset_ids)]
if self.group_emb is not None:
if group_ids is None:
raise ValueError("group_ids required when group_emb is enabled")
emb_list.append(self.group_emb(group_ids))
if self.include_cost:
if costs is None:
raise ValueError("costs required when use_cost_in_context is True")
emb_list.append(costs)
return torch.cat(emb_list, dim=-1)
class FiLM(nn.Module):
"""Feature-wise linear modulation: x -> x * (1 + gamma) + beta."""
def __init__(self, *, context_dim: int, n_features: int) -> None:
super().__init__()
self.proj = nn.Linear(context_dim, 2 * n_features)
self.n_features = n_features
def forward(self, x: torch.Tensor, context: torch.Tensor) -> torch.Tensor:
gb = self.proj(context) # (N, 2F)
gamma, beta = gb[:, : self.n_features], gb[:, self.n_features :]
gamma = gamma.unsqueeze(0).unsqueeze(0) # (1, 1, N, F)
beta = beta.unsqueeze(0).unsqueeze(0)
return x * (1.0 + gamma) + beta
class VectorizedVariableSelection(nn.Module):
"""Lightweight variable selection network (V-VSN)."""
def __init__(
self,
*,
n_features: int,
d_model: int,
context_dim: int,
hidden_dim: int,
dropout: float,
) -> None:
super().__init__()
self.n_features = n_features
self.d_model = d_model
self.feature_weight = nn.Parameter(torch.empty(n_features, d_model))
self.feature_bias = nn.Parameter(torch.zeros(n_features, d_model))
nn.init.xavier_uniform_(self.feature_weight)
self.selector = nn.Sequential(
nn.Linear(n_features + context_dim, hidden_dim),
nn.ReLU(),
nn.Dropout(dropout),
nn.Linear(hidden_dim, n_features),
)
self.out_norm = nn.LayerNorm(d_model)
def forward(self, x: torch.Tensor, context: torch.Tensor) -> torch.Tensor:
b, t, n, f = x.shape
context_bt = context.unsqueeze(0).unsqueeze(0).expand(b, t, n, -1)
logits = self.selector(torch.cat([x, context_bt], dim=-1))
weights = torch.softmax(logits, dim=-1)
z = torch.einsum("btnf,fd->btnfd", x, self.feature_weight) + self.feature_bias
h = (weights.unsqueeze(-1) * z).sum(dim=-2)
return self.out_norm(h)
class AdapterBlock(nn.Module):
"""FFN adapter with residual connection and LayerNorm."""
def __init__(self, *, d_model: int, hidden_mult: int, dropout: float) -> None:
super().__init__()
d_ff = int(hidden_mult * d_model)
self.ln = nn.LayerNorm(d_model)
self.ff = nn.Sequential(
nn.Linear(d_model, d_ff), nn.GELU(), nn.Dropout(dropout), nn.Linear(d_ff, d_model)
)
self.dropout = nn.Dropout(dropout)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return x + self.dropout(self.ff(self.ln(x)))
class TemporalSelfAttentionBlock(nn.Module):
"""Causal temporal self-attention per asset."""
def __init__(self, *, d_model: int, n_heads: int, dropout: float, adapter_mult: int) -> None:
super().__init__()
self.mha = nn.MultiheadAttention(
embed_dim=d_model, num_heads=n_heads, dropout=dropout, batch_first=True
)
self.ln = nn.LayerNorm(d_model)
self.dropout = nn.Dropout(dropout)
self.adapter = AdapterBlock(d_model=d_model, hidden_mult=adapter_mult, dropout=dropout)
def forward(self, x: torch.Tensor) -> torch.Tensor:
t = x.shape[1]
attn_mask = causal_attention_mask(t, device=x.device)
y, _ = self.mha(x, x, x, attn_mask=attn_mask)
x = self.ln(x + self.dropout(y))
return self.adapter(x)
class CrossSectionalAttention(nn.Module):
"""Cross-asset attention with Directed Delay (time lag)."""
def __init__(self, *, d_model: int, n_heads: int, dropout: float, lag: int) -> None:
super().__init__()
self.lag = int(lag)
self.mha = nn.MultiheadAttention(
embed_dim=d_model, num_heads=n_heads, dropout=dropout, batch_first=True
)
self.ln = nn.LayerNorm(d_model)
self.dropout = nn.Dropout(dropout)
def forward(self, h: torch.Tensor, mask: torch.Tensor) -> torch.Tensor:
b, t, n, d = h.shape
if self.lag > 0:
pad = torch.zeros((b, self.lag, n, d), device=h.device, dtype=h.dtype)
h_kv = torch.cat([pad, h[:, : t - self.lag, :, :]], dim=1)
pad_m = torch.zeros((b, self.lag, n), device=mask.device, dtype=mask.dtype)
m_kv = torch.cat([pad_m, mask[:, : t - self.lag, :]], dim=1)
else:
h_kv = h
m_kv = mask
q = h.reshape(b * t, n, d)
kv = h_kv.reshape(b * t, n, d)
key_padding_mask = m_kv.reshape(b * t, n) < 0.5
# When lag > 0, the first `lag` timesteps have all-zero keys and masks.
# All keys masked → softmax(all -inf) → NaN. Unmask all positions for
# those rows; attention over zero-valued keys yields zero, so the
# residual connection passes through h unchanged.
all_masked = key_padding_mask.all(dim=-1, keepdim=True)
if all_masked.any():
key_padding_mask = key_padding_mask & ~all_masked
out, _ = self.mha(q, kv, kv, key_padding_mask=key_padding_mask)
out = out.reshape(b, t, n, d)
return self.ln(h + self.dropout(out))
class MacroGraphAttention(nn.Module):
"""Adjacency-masked cross-asset attention (GAT-like)."""
def __init__(
self,
*,
d_model: int,
n_heads: int,
dropout: float,
adjacency_mask: torch.Tensor,
) -> None:
super().__init__()
self.register_buffer("adjacency_mask", adjacency_mask.to(dtype=torch.bool))
self.mha = nn.MultiheadAttention(
embed_dim=d_model, num_heads=n_heads, dropout=dropout, batch_first=True
)
self.ln = nn.LayerNorm(d_model)
self.dropout = nn.Dropout(dropout)
def forward(self, h: torch.Tensor, mask: torch.Tensor) -> torch.Tensor:
b, t, n, d = h.shape
x = h.reshape(b * t, n, d)
key_padding_mask = mask.reshape(b * t, n) < 0.5
# Guard: if adjacency_mask + key_padding_mask blocks ALL keys for any
# query, softmax produces NaN. Unmask everything for those rows.
combined = self.adjacency_mask.unsqueeze(0) | key_padding_mask.unsqueeze(1)
all_blocked = combined.all(dim=-1) # (B*T, N) — True if query i has no valid key
if all_blocked.any():
key_padding_mask = key_padding_mask & ~all_blocked
out, _ = self.mha(x, x, x, attn_mask=self.adjacency_mask, key_padding_mask=key_padding_mask)
out = out.reshape(b, t, n, d)
return self.ln(h + self.dropout(out))
class DeepmPolicy(nn.Module):
"""DeePM policy network that outputs risk weights p_{i,t} in (-1, 1)."""
def __init__(
self,
*,
n_assets: int,
n_features: int,
n_groups: int | None,
adjacency_mask: torch.Tensor | None,
cfg: ModelConfig,
) -> None:
super().__init__()
self.n_assets = int(n_assets)
self.n_features = int(n_features)
self.cfg = cfg
self.context_encoder = StaticContextEncoder(n_assets=n_assets, n_groups=n_groups, cfg=cfg)
context_dim = self.context_encoder.context_dim
self.film = FiLM(context_dim=context_dim, n_features=n_features)
self.vvsn = VectorizedVariableSelection(
n_features=n_features,
d_model=cfg.d_model,
context_dim=context_dim,
hidden_dim=cfg.vvsn_hidden_dim,
dropout=cfg.dropout,
)
self.lstm = nn.LSTM(
input_size=cfg.d_model,
hidden_size=cfg.d_model,
num_layers=cfg.lstm_layers,
batch_first=True,
dropout=cfg.dropout if cfg.lstm_layers > 1 else 0.0,
)
self.h0_proj = nn.Linear(context_dim, cfg.lstm_layers * cfg.d_model)
self.c0_proj = nn.Linear(context_dim, cfg.lstm_layers * cfg.d_model)
self.temporal_blocks = nn.ModuleList(
[
TemporalSelfAttentionBlock(
d_model=cfg.d_model,
n_heads=cfg.n_heads,
dropout=cfg.dropout,
adapter_mult=cfg.adapter_hidden_mult,
)
for _ in range(cfg.temporal_mha_layers)
]
)
self.cross_attn = CrossSectionalAttention(
d_model=cfg.d_model,
n_heads=cfg.cross_attention_heads,
dropout=cfg.dropout,
lag=cfg.cross_attention_lag,
)
self.macro_graph: MacroGraphAttention | None = None
if adjacency_mask is not None:
self.macro_graph = MacroGraphAttention(
d_model=cfg.d_model,
n_heads=cfg.macro_gnn_heads,
dropout=cfg.dropout,
adjacency_mask=adjacency_mask,
)
self.head = nn.Linear(cfg.d_model, 1)
def forward(
self,
x: torch.Tensor,
*,
mask: torch.Tensor,
asset_ids: torch.Tensor,
group_ids: torch.Tensor | None,
costs: torch.Tensor | None,
) -> torch.Tensor:
"""Forward pass: features (B,T,N,F) -> risk weights (B,T,N) in (-1,1)."""
b, t, n, f = x.shape
context = self.context_encoder(asset_ids=asset_ids, group_ids=group_ids, costs=costs)
x_mod = self.film(x, context)
h = self.vvsn(x_mod, context) # (B,T,N,D)
# Per-asset temporal backbone
h_bn = h.permute(0, 2, 1, 3).reshape(b * n, t, self.cfg.d_model)
ctx_bn = context.unsqueeze(0).expand(b, n, -1).reshape(b * n, -1)
h0 = (
self.h0_proj(ctx_bn)
.reshape(b * n, self.cfg.lstm_layers, self.cfg.d_model)
.permute(1, 0, 2)
.contiguous()
)
c0 = (
self.c0_proj(ctx_bn)
.reshape(b * n, self.cfg.lstm_layers, self.cfg.d_model)
.permute(1, 0, 2)
.contiguous()
)
h_bn, _ = self.lstm(h_bn, (h0, c0))
for block in self.temporal_blocks:
h_bn = block(h_bn)
h = h_bn.reshape(b, n, t, self.cfg.d_model).permute(0, 2, 1, 3).contiguous()
# Cross-sectional blocks
h = self.cross_attn(h, mask)
if self.macro_graph is not None:
h = self.macro_graph(h, mask)
# Output head -> tanh
p = torch.tanh(self.head(h).squeeze(-1))
return p * mask
```يُعرض النص كاملًا مع نسبه إلى مصدره وفقًا لترخيصه. الترخيص: MIT
أعدّ وكيل الأبحاث في Stratmill هذا الملخص استنادًا إلى المصدر الأصلي؛ وهو ليس نسخة منه.