"""ECHO-1-nano model. Stage 1: a modern decoder-only transformer with RMSNorm (pre-norm), RoPE, grouped-query attention with optional QK-norm, SwiGLU feed-forward, weight-tied head, and a KV cache for generation. Later stages add MLA, MoE, and MTP behind config toggles. Kept deliberately small and explicit (manual attention rather than fused kernels) so each piece is legible. """ from __future__ import annotations import torch import torch.nn as nn import torch.nn.functional as F from config import NanoConfig class RMSNorm(nn.Module): """Root-mean-square layer norm (no mean subtraction, no bias).""" def __init__(self, dim: int, eps: float = 1e-6): super().__init__() self.eps = eps self.weight = nn.Parameter(torch.ones(dim)) def forward(self, x: torch.Tensor) -> torch.Tensor: norm = x * torch.rsqrt(x.pow(2).mean(-1, keepdim=True) + self.eps) return norm * self.weight def build_rope(seq: int, head_dim: int, theta: float, device, dtype): """Precompute RoPE cos/sin tables of shape (seq, head_dim).""" inv_freq = 1.0 / (theta ** (torch.arange(0, head_dim, 2, device=device).float() / head_dim)) t = torch.arange(seq, device=device).float() freqs = torch.outer(t, inv_freq) # (seq, head_dim/2) emb = torch.cat([freqs, freqs], dim=-1) # (seq, head_dim) return emb.cos().to(dtype), emb.sin().to(dtype) def _rotate_half(x: torch.Tensor) -> torch.Tensor: half = x.shape[-1] // 2 x1, x2 = x[..., :half], x[..., half:] return torch.cat([-x2, x1], dim=-1) def apply_rope(x: torch.Tensor, cos: torch.Tensor, sin: torch.Tensor, offset: int = 0): """x: (B, H, T, hd). cos/sin: (S, hd). Applies rotation at positions [offset, offset+T).""" T = x.shape[-2] c = cos[offset:offset + T].unsqueeze(0).unsqueeze(0) # (1,1,T,hd) s = sin[offset:offset + T].unsqueeze(0).unsqueeze(0) return x * c + _rotate_half(x) * s class Attention(nn.Module): """Grouped-query attention. n_kv_heads <= n_heads share K/V across query-head groups. Optional per-head RMSNorm on Q and K (QK-norm). KV cache for decode.""" def __init__(self, cfg: NanoConfig): super().__init__() self.n_heads = cfg.n_heads self.n_kv = cfg.n_kv_heads self.hd = cfg.head_dim assert self.n_heads % self.n_kv == 0, "n_heads must be a multiple of n_kv_heads" self.rep = self.n_heads // self.n_kv self.wq = nn.Linear(cfg.d_model, self.n_heads * self.hd, bias=False) self.wk = nn.Linear(cfg.d_model, self.n_kv * self.hd, bias=False) self.wv = nn.Linear(cfg.d_model, self.n_kv * self.hd, bias=False) self.wo = nn.Linear(self.n_heads * self.hd, cfg.d_model, bias=False) self.qk_norm = cfg.qk_norm if cfg.qk_norm: self.q_norm = RMSNorm(self.hd) self.k_norm = RMSNorm(self.hd) self.drop = cfg.dropout def forward(self, x, cos, sin, cache=None): B, T, _ = x.shape q = self.wq(x).view(B, T, self.n_heads, self.hd).transpose(1, 2) # (B,H,T,hd) k = self.wk(x).view(B, T, self.n_kv, self.hd).transpose(1, 2) # (B,Hkv,T,hd) v = self.wv(x).view(B, T, self.n_kv, self.hd).transpose(1, 2) if self.qk_norm: q, k = self.q_norm(q), self.k_norm(k) offset = 0 if cache is None else cache[0].shape[-2] q = apply_rope(q, cos, sin, offset) k = apply_rope(k, cos, sin, offset) if cache is not None: pk, pv = cache k = torch.cat([pk, k], dim=-2) v = torch.cat([pv, v], dim=-2) new_cache = (k, v) # expand KV groups to full head count k = k.repeat_interleave(self.rep, dim=1) v = v.repeat_interleave(self.rep, dim=1) # causal only needed when not decoding a single step against a full cache is_causal = cache is None or T > 1 out = F.scaled_dot_product_attention( q, k, v, is_causal=is_causal, dropout_p=self.drop if self.training else 0.0, ) out = out.transpose(1, 2).contiguous().view(B, T, self.n_heads * self.hd) return self.wo(out), new_cache class MLAttention(nn.Module): """Multi-head latent attention (DeepSeek-V2). K/V are compressed into a shared low-rank latent c_kv that is the only thing cached, then up-projected to a per-head 'nope' (no-position) part. Position is carried by a separate decoupled RoPE key k_rope shared across heads. Query is split the same way and may also be low-rank compressed. The KV cache shrinks from n_kv*head_dim to kv_lora_rank + rope_head_dim per token.""" def __init__(self, cfg: NanoConfig): super().__init__() self.n_heads = cfg.n_heads self.nope = cfg.head_dim # per-head content dim self.rope = cfg.rope_head_dim or (cfg.head_dim // 2) # decoupled position dim self.vhd = cfg.head_dim self.qdim = self.nope + self.rope self.scale = self.qdim ** -0.5 self.kv_rank = cfg.kv_lora_rank self.q_rank = cfg.q_lora_rank # KV down/up self.w_dkv = nn.Linear(cfg.d_model, self.kv_rank, bias=False) # compress self.kv_norm = RMSNorm(self.kv_rank) self.w_uk = nn.Linear(self.kv_rank, self.n_heads * self.nope, bias=False) self.w_uv = nn.Linear(self.kv_rank, self.n_heads * self.vhd, bias=False) self.w_kr = nn.Linear(cfg.d_model, self.rope, bias=False) # shared rope key # Q (optionally compressed) if self.q_rank: self.w_dq = nn.Linear(cfg.d_model, self.q_rank, bias=False) self.q_norm = RMSNorm(self.q_rank) self.w_uq = nn.Linear(self.q_rank, self.n_heads * self.qdim, bias=False) else: self.w_q = nn.Linear(cfg.d_model, self.n_heads * self.qdim, bias=False) self.wo = nn.Linear(self.n_heads * self.vhd, cfg.d_model, bias=False) self.drop = cfg.dropout def forward(self, x, cos, sin, cache=None): B, T, _ = x.shape H, nope, rope, vhd = self.n_heads, self.nope, self.rope, self.vhd # queries if self.q_rank: q = self.w_uq(self.q_norm(self.w_dq(x))) else: q = self.w_q(x) q = q.view(B, T, H, self.qdim).transpose(1, 2) # (B,H,T,qdim) q_nope, q_rope = q[..., :nope], q[..., nope:] # compressed latent + decoupled rope key (these get cached) c_kv = self.kv_norm(self.w_dkv(x)) # (B,T,rank) k_rope = self.w_kr(x).view(B, T, 1, rope).transpose(1, 2) # (B,1,T,rope) offset = 0 if cache is None else cache[0].shape[1] q_rope = apply_rope(q_rope, cos, sin, offset) k_rope = apply_rope(k_rope, cos, sin, offset) if cache is not None: pc, pkr = cache # (B,Tp,rank),(B,1,Tp,rope) c_kv = torch.cat([pc, c_kv], dim=1) k_rope = torch.cat([pkr, k_rope], dim=2) new_cache = (c_kv, k_rope) S = c_kv.shape[1] # up-project the (full) latent to per-head K-nope and V k_nope = self.w_uk(c_kv).view(B, S, H, nope).transpose(1, 2) # (B,H,S,nope) v = self.w_uv(c_kv).view(B, S, H, vhd).transpose(1, 2) # (B,H,S,vhd) k_rope = k_rope.expand(B, H, S, rope) # share across heads q_full = torch.cat([q_nope, q_rope], dim=-1) # (B,H,T,qdim) k_full = torch.cat([k_nope, k_rope], dim=-1) # (B,H,S,qdim) is_causal = cache is None or T > 1 out = F.scaled_dot_product_attention( q_full, k_full, v, is_causal=is_causal, dropout_p=self.drop if self.training else 0.0, ) out = out.transpose(1, 2).contiguous().view(B, T, H * vhd) return self.wo(out), new_cache class SwiGLU(nn.Module): """Gated FFN: (silu(W1 x) * W3 x) W2.""" def __init__(self, d: int, h: int): super().__init__() self.w1 = nn.Linear(d, h, bias=False) self.w3 = nn.Linear(d, h, bias=False) self.w2 = nn.Linear(h, d, bias=False) def forward(self, x): return self.w2(F.silu(self.w1(x)) * self.w3(x)) class DenseFFN(nn.Module): """A single SwiGLU FFN. Returns (out, aux=0) to match the MoE interface.""" def __init__(self, cfg: NanoConfig): super().__init__() self.ff = SwiGLU(cfg.d_model, cfg.ff_dim) def forward(self, x): return self.ff(x), x.new_zeros(()) class MoE(nn.Module): """Sparse mixture of experts (DeepSeek-V3 flavour): top-k routed fine-grained experts + always-on shared experts, sigmoid gating, and aux-loss-free load balancing via a per-expert selection bias that drifts toward equal load. An optional classic load-balance aux loss is available via moe_aux_alpha.""" def __init__(self, cfg: NanoConfig): super().__init__() self.n_exp = cfg.n_experts self.top_k = cfg.top_k self.alpha = cfg.moe_aux_alpha self.experts = nn.ModuleList(SwiGLU(cfg.d_model, cfg.ff_dim) for _ in range(cfg.n_experts)) self.shared = nn.ModuleList(SwiGLU(cfg.d_model, cfg.ff_dim) for _ in range(cfg.n_shared)) self.router = nn.Linear(cfg.d_model, cfg.n_experts, bias=False) # balancing bias: affects selection only, not the gate weights. Updated as a # buffer (no gradient), DeepSeek-V3 style. self.register_buffer("bias", torch.zeros(cfg.n_experts)) self.bias_lr = 1e-3 def forward(self, x): B, T, d = x.shape xf = x.reshape(-1, d) # (N,d) N = xf.shape[0] gates = torch.sigmoid(self.router(xf)) # (N,E) # select top-k by gate + balancing bias (bias steers load, not weights) sel = torch.topk(gates + self.bias, self.top_k, dim=-1).indices # (N,k) sel_gate = torch.gather(gates, 1, sel) # (N,k) denom = sel_gate.sum(-1, keepdim=True).clamp_min(1e-9) weight = sel_gate / denom # normalized over chosen out = torch.zeros_like(xf) load = torch.zeros(self.n_exp, device=xf.device) for e in range(self.n_exp): hit = sel == e # (N,k) bool tok = hit.any(-1) # (N,) load[e] = tok.sum() if tok.any(): we = (weight * hit).sum(-1)[tok].unsqueeze(-1) # (n_e,1) out[tok] += we * self.experts[e](xf[tok]) for se in self.shared: out = out + se(xf) aux = xf.new_zeros(()) if self.training: # aux-loss-free: nudge bias so underused experts become more selectable with torch.no_grad(): target = N * self.top_k / self.n_exp self.bias += self.bias_lr * (target - load).sign() if self.alpha > 0: f = load / (N * self.top_k) # fraction of slots p = gates.mean(0) # mean gate per expert aux = self.alpha * self.n_exp * (f * p).sum() return out.view(B, T, d), aux class Block(nn.Module): def __init__(self, cfg: NanoConfig): super().__init__() self.attn_norm = RMSNorm(cfg.d_model) self.attn = MLAttention(cfg) if cfg.attn == "mla" else Attention(cfg) self.ffn_norm = RMSNorm(cfg.d_model) self.ffn = MoE(cfg) if cfg.ffn == "moe" else DenseFFN(cfg) self.drop = nn.Dropout(cfg.dropout) def forward(self, x, cos, sin, cache=None): h, new_cache = self.attn(self.attn_norm(x), cos, sin, cache) x = x + self.drop(h) f, aux = self.ffn(self.ffn_norm(x)) x = x + self.drop(f) return x, new_cache, aux class MTPModule(nn.Module): """One multi-token-prediction depth (DeepSeek-V3). Combines the previous depth's hidden state with the embedding of the next observed token, then runs a transformer block. The shared output head turns its hidden into logits for a token one step further ahead.""" def __init__(self, cfg: NanoConfig): super().__init__() self.h_norm = RMSNorm(cfg.d_model) self.e_norm = RMSNorm(cfg.d_model) self.proj = nn.Linear(2 * cfg.d_model, cfg.d_model, bias=False) self.block = Block(cfg) def forward(self, h_prev, emb_next, cos, sin): x = self.proj(torch.cat([self.h_norm(h_prev), self.e_norm(emb_next)], dim=-1)) x, _, _ = self.block(x, cos, sin, None) return x def _shift_left(t: torch.Tensor, k: int, fill): """Move positions left by k: out[:, i] = t[:, i+k]; last k filled with `fill`.""" B, T = t.shape[0], t.shape[1] tail_shape = (B, k) + tuple(t.shape[2:]) pad = t.new_full(tail_shape, fill) if t.dim() == 2 else t.new_zeros(tail_shape) return torch.cat([t[:, k:], pad], dim=1) class NanoLM(nn.Module): def __init__(self, cfg: NanoConfig): super().__init__() self.cfg = cfg self.embed = nn.Embedding(cfg.vocab_size, cfg.d_model) self.blocks = nn.ModuleList(Block(cfg) for _ in range(cfg.n_layers)) self.norm = RMSNorm(cfg.d_model) self.head = nn.Linear(cfg.d_model, cfg.vocab_size, bias=False) if cfg.tie_embeddings: self.head.weight = self.embed.weight self.mtp = nn.ModuleList(MTPModule(cfg) for _ in range(cfg.mtp_tokens)) # RoPE dim: GQA rotates the whole head; MLA rotates only the decoupled part. self.rope_dim = cfg.head_dim if cfg.attn == "gqa" else (cfg.rope_head_dim or cfg.head_dim // 2) self._cos = self._sin = None self.apply(self._init) def _init(self, m): if isinstance(m, nn.Linear): nn.init.normal_(m.weight, std=0.02) elif isinstance(m, nn.Embedding): nn.init.normal_(m.weight, std=0.02) def _rope(self, device, dtype): if self._cos is None or self._cos.device != device or self._cos.dtype != dtype: self._cos, self._sin = build_rope(self.cfg.max_seq, self.rope_dim, self.cfg.rope_theta, device, dtype) return self._cos, self._sin def forward(self, ids, targets=None, caches=None): emb = self.embed(ids) x = emb cos, sin = self._rope(x.device, x.dtype) new_caches = [] aux_total = x.new_zeros(()) for i, blk in enumerate(self.blocks): c = None if caches is None else caches[i] x, nc, aux = blk(x, cos, sin, c) new_caches.append(nc) aux_total = aux_total + aux trunk = x # pre-final-norm hidden (MTP root) logits = self.head(self.norm(trunk)) loss = None if targets is not None: loss = F.cross_entropy(logits.reshape(-1, logits.size(-1)), targets.reshape(-1), ignore_index=-100) + aux_total # multi-token prediction: depth k predicts the token k steps further ahead if self.mtp: h_prev = trunk mtp_loss = x.new_zeros(()) for k in range(1, len(self.mtp) + 1): emb_next = self.embed(_shift_left(ids, k, 0)) # token at i+k h_prev = self.mtp[k - 1](h_prev, emb_next, cos, sin) lg = self.head(self.norm(h_prev)) tgt = _shift_left(targets, k, -100) # token at i+1+k mtp_loss = mtp_loss + F.cross_entropy( lg.reshape(-1, lg.size(-1)), tgt.reshape(-1), ignore_index=-100) loss = loss + self.cfg.mtp_lambda / len(self.mtp) * mtp_loss return logits, loss, new_caches @torch.no_grad() def generate(self, ids, max_new: int, temperature: float = 1.0, top_k: int = 0, eos_id: int | None = None): self.eval() caches = None # prime the cache with the prompt logits, _, caches = self.forward(ids, caches=None) out = ids for _ in range(max_new): last = logits[:, -1, :] / max(temperature, 1e-6) if top_k: v, _ = torch.topk(last, top_k) last = last.masked_fill(last < v[:, [-1]], float("-inf")) probs = F.softmax(last, dim=-1) nxt = torch.multinomial(probs, 1) out = torch.cat([out, nxt], dim=1) if eos_id is not None and out.size(0) == 1 and int(nxt.item()) == eos_id: break logits, _, caches = self.forward(nxt, caches=caches) return out def n_params(self) -> int: n = sum(p.numel() for p in self.parameters()) if self.cfg.tie_embeddings: n -= self.embed.weight.numel() # counted once return n