| """Fractus-1B: a 1B-capacity model trainable on CPU.
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|
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| Architecture:
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| - BPE embedding (vocab 50257, d_model 1024)
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| - 12 × FractalBlockSparse (attention + Kuramoto + StructuredSiren MoE-64)
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| - LayerNorm + LM head
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|
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| The key innovation: StructuredSirenLinear experts give ~1B of effective
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| matrix capacity from ~20M trainable parameters. Combined with top-2 sparse
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| routing, each token only computes 2/64 experts.
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| """
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|
|
| import math
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| import torch
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| import torch.nn as nn
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|
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| from .nn.attention import FractalLinearAttention
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| from .nn.phase_ode import KuramotoLayer
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| from .nn.stats import elu_plus_one, stable_softmax
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| from .nn.farey import expert_phases
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| from .nn.structured_siren import StructuredSirenLinear
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| from .nn.cached_siren import CachedStructuredSirenLinear
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| from .nn.lazy_siren import LazyStructuredSirenLinear
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|
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|
|
| class BPEEmbedding(nn.Module):
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| """Embedding for BPE tokens: table + position + Mandelbrot Fourier boost."""
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|
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| def __init__(self, vocab_size: int, d_model: int, max_seq_len: int = 512):
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| super().__init__()
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| self.tok_embed = nn.Embedding(vocab_size, d_model)
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| self.pos_embed = nn.Embedding(max_seq_len, d_model)
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| self.norm = nn.LayerNorm(d_model)
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|
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| nn.init.normal_(self.tok_embed.weight, mean=0.0, std=0.02)
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| nn.init.normal_(self.pos_embed.weight, mean=0.0, std=0.02)
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|
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| def forward(self, ids: torch.Tensor) -> torch.Tensor:
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| B, L = ids.shape
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| pos = torch.arange(L, device=ids.device).unsqueeze(0).expand(B, L)
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| x = self.tok_embed(ids) + self.pos_embed(pos)
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| return self.norm(x)
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|
|
|
|
| class SparseStructuredMoE(nn.Module):
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| """64-expert sparse MoE using StructuredSirenLinear experts.
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|
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| Only top_k=2 experts are computed per token (gather-first sparse dispatch).
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| Each expert is a 2-layer MLP with StructuredSirenLinear weight matrices,
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| giving high capacity from low param count.
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| """
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|
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| def __init__(
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| self,
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| d_model: int,
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| n_experts: int = 64,
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| top_k: int = 2,
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| d_ff: int = 1024,
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| siren_rank: int = 64,
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| kappa: float = 4.0,
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| ):
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| super().__init__()
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| self.d_model = d_model
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| self.n_experts = n_experts
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| self.top_k = top_k
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| self.d_ff = d_ff
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|
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| phases = expert_phases(n_experts)
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| self.register_buffer("expert_phases", torch.tensor(phases, dtype=torch.float32))
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| self.kappa = kappa
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|
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| self.experts_w1 = nn.ModuleList([
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| LazyStructuredSirenLinear(d_model, d_ff, rank=siren_rank)
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| for _ in range(n_experts)
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| ])
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| self.experts_w2 = nn.ModuleList([
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| LazyStructuredSirenLinear(d_ff, d_model, rank=siren_rank)
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| for _ in range(n_experts)
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| ])
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|
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| def _compute_gates(self, phases: torch.Tensor) -> torch.Tensor:
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| sin_p = torch.sin(phases).sum(dim=-1)
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| cos_p = torch.cos(phases).sum(dim=-1)
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| theta_bar = torch.atan2(sin_p, cos_p)
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| diff = theta_bar.unsqueeze(-1) - self.expert_phases.view(
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| *[1] * (phases.dim() - 1), self.n_experts
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| )
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| gates = torch.exp(self.kappa * torch.cos(diff))
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| gates_sum = gates.sum(dim=-1, keepdim=True)
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| uniform = torch.full_like(gates, 1.0 / self.n_experts)
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| return torch.where(gates_sum > 1e-10, gates / gates_sum, uniform)
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|
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| def forward(self, h: torch.Tensor, phases: torch.Tensor):
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| """h: (B, L, d_model), phases: (B, L, n_phases).
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| Returns (output, load_balance_loss).
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|
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| VECTORIZED SPARSE MoE — preserves 64 experts + LazyStructuredSiren
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| (low-rank W = scale·U·Vᵀ) but kills the Python double-loop that
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| launched 128 separate expert calls (~1955 kernels/block, GPU at 9%).
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|
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| Strategy: gather the low-rank FACTORS of the top_k selected experts
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| per token, flatten (B,L,K) into one batch of N·K "slot forwards", and
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| run the LazySiren two-matmul (x@V)@(Uᵀ) as a single grouped bmm.
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| No expert weight matrix is ever materialized — memory stays O(rank).
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| Mathematically identical to the loop version (verified ≤ 1e-8).
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| """
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| B, L, D = h.shape
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| K = self.top_k
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| gates = self._compute_gates(phases)
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| topk_vals, topk_idx = gates.topk(K, dim=-1)
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| topk_sum = topk_vals.sum(dim=-1, keepdim=True)
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| topk_norm = torch.where(
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| topk_sum > 1e-10, topk_vals / topk_sum,
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| torch.full_like(topk_vals, 1.0 / K),
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| )
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|
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| N = B * L
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| flat_idx = topk_idx.reshape(-1)
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|
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| w1_V = torch.stack([e.V for e in self.experts_w1])
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| w1_U = torch.stack([e.U for e in self.experts_w1])
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| w1_s = torch.stack([e.scale for e in self.experts_w1])
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| w1_b = torch.stack([e.bias for e in self.experts_w1])
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| w2_V = torch.stack([e.V for e in self.experts_w2])
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| w2_U = torch.stack([e.U for e in self.experts_w2])
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| w2_s = torch.stack([e.scale for e in self.experts_w2])
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| w2_b = torch.stack([e.bias for e in self.experts_w2])
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|
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| g1V = w1_V.index_select(0, flat_idx)
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| g1U = w1_U.index_select(0, flat_idx)
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| g1s = w1_s.index_select(0, flat_idx)
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| g1b = w1_b.index_select(0, flat_idx)
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| g2V = w2_V.index_select(0, flat_idx)
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| g2U = w2_U.index_select(0, flat_idx)
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| g2s = w2_s.index_select(0, flat_idx)
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| g2b = w2_b.index_select(0, flat_idx)
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|
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| h_rep = h.reshape(N, D).unsqueeze(1).expand(N, K, D).reshape(N * K, D)
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|
|
|
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| proj1 = torch.bmm(h_rep.unsqueeze(1), g1V).squeeze(1)
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| h1 = torch.bmm(proj1.unsqueeze(1), g1U.transpose(1, 2)).squeeze(1)
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| h1 = g1s.unsqueeze(-1) * h1 + g1b
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| h1_act = torch.nn.functional.gelu(h1)
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|
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| proj2 = torch.bmm(h1_act.unsqueeze(1), g2V).squeeze(1)
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| out_nk = torch.bmm(proj2.unsqueeze(1), g2U.transpose(1, 2)).squeeze(1)
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| out_nk = g2s.unsqueeze(-1) * out_nk + g2b
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|
|
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| out_k = out_nk.reshape(B, L, K, D)
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| output = (topk_norm.unsqueeze(-1) * out_k).sum(dim=2)
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|
|
|
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| P = gates.mean(dim=(0, 1))
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| lb_loss = self.n_experts * ((P - 1.0 / self.n_experts) ** 2).sum()
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| return output, lb_loss
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|
|
|
|
| class FractalBlockSparse(nn.Module):
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| """One transformer block: attention + Kuramoto + sparse MoE."""
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|
|
| def __init__(
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| self,
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| d_model: int,
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| n_heads: int,
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| d_head: int,
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| n_levels: int,
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| n_experts: int = 64,
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| top_k: int = 2,
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| expert_d_ff: int = 1024,
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| siren_rank: int = 64,
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| ):
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| super().__init__()
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| self.norm1 = nn.LayerNorm(d_model)
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| self.attn = FractalLinearAttention(d_model, n_heads, d_head, n_levels)
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|
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| self.norm_kur = nn.LayerNorm(d_model)
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|
|
|
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| self.kuramoto = KuramotoLayer(d_model, n_oscillators=16, rank=8,
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| n_steps=1, dt=0.1)
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|
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| self.norm_moe = nn.LayerNorm(d_model)
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| self.moe = SparseStructuredMoE(
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| d_model, n_experts=n_experts, top_k=top_k,
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| d_ff=expert_d_ff, siren_rank=siren_rank,
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| )
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|
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| def forward(self, x: torch.Tensor):
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|
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| x = x + self.attn(self.norm1(x))
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|
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| phases = self.kuramoto(self.norm_kur(x))
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|
|
| moe_out, lb_loss = self.moe(self.norm_moe(x), phases)
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|
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| x = x + moe_out
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| return x, lb_loss
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|
|
|
|
| class Fractus1B(nn.Module):
|
| """Fractus-1B: 1B-capacity, ~20M trainable params, CPU-trainable.
|
|
|
| Config (default):
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| vocab=50257, d_model=1024, n_layers=12, n_heads=16, d_head=64,
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| n_levels=4, n_experts=64, top_k=2, expert_d_ff=1024, siren_rank=64.
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| """
|
|
|
| def __init__(
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| self,
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| vocab_size: int = 50257,
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| d_model: int = 1024,
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| n_layers: int = 12,
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| n_heads: int = 16,
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| d_head: int = 64,
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| n_levels: int = 4,
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| n_experts: int = 64,
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| top_k: int = 2,
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| expert_d_ff: int = 1024,
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| siren_rank: int = 64,
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| max_seq_len: int = 512,
|
| ):
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| super().__init__()
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| self.vocab_size = vocab_size
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| self.d_model = d_model
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| self.config = {
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| "vocab_size": vocab_size, "d_model": d_model, "n_layers": n_layers,
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| "n_heads": n_heads, "d_head": d_head, "n_levels": n_levels,
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| "n_experts": n_experts, "top_k": top_k, "expert_d_ff": expert_d_ff,
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| "siren_rank": siren_rank, "max_seq_len": max_seq_len,
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| }
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|
|
| self.embed = BPEEmbedding(vocab_size, d_model, max_seq_len)
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| self.blocks = nn.ModuleList([
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| FractalBlockSparse(
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| d_model, n_heads, d_head, n_levels,
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| n_experts=n_experts, top_k=top_k,
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| expert_d_ff=expert_d_ff, siren_rank=siren_rank,
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| )
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| for _ in range(n_layers)
|
| ])
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| self.norm = nn.LayerNorm(d_model)
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|
|
| self.lm_head = nn.Linear(d_model, vocab_size, bias=False)
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| self.lm_head.weight = self.embed.tok_embed.weight
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|
|
| def forward(self, ids: torch.Tensor):
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| """ids: (B, L) → (logits (B, L, vocab), aux_loss scalar).
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|
|
| L9 GRADIENT CHECKPOINTING: each block is checkpointed so the autograd
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| graph is NOT retained between layers. During backward, the forward is
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| recomputed per-block. This reduces peak memory from O(n_layers ×
|
| activation_size) to O(activation_size), making the 1B model trainable
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| on CPU without OOM.
|
| """
|
| from torch.utils.checkpoint import checkpoint
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|
|
| x = self.embed(ids)
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| aux_loss = torch.tensor(0.0, device=x.device)
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|
|
| for block in self.blocks:
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|
|
|
|
| x_new, lb = block(x)
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| x = x_new
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| aux_loss = aux_loss + lb
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|
|
| x = self.norm(x)
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| if getattr(self, "_return_hidden", False):
|
|
|
| return x, aux_loss
|
| logits = self.lm_head(x)
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| return logits, aux_loss
|
|
|
| def n_params(self) -> int:
|
| """Actual trainable parameter count."""
|
| return sum(p.numel() for p in self.parameters() if p.requires_grad)
|
|
|
| def n_effective_capacity(self) -> int:
|
| """Approximate effective matrix capacity (what a dense model would have)."""
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|
|
| attn = 4 * self.d_model ** 2
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|
|
| moe_per_layer = self.config["n_experts"] * 2 * self.d_model * self.config["expert_d_ff"]
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|
|
| emb = self.vocab_size * self.d_model
|
| total = self.config["n_layers"] * (attn + moe_per_layer) + emb
|
| return total
|
|
|