Document LatentMoE sigmoid routing, sparse dispatch, and K3 block figures

Ledger C10–C12 match the permute-pad-bmm path and Switch aux/z-loss.
Section 8 adds overview and component TikZ; MoE capacity is C_moe so it
does not collide with KDA chunk size.

README.md

@@ -138,7 +138,7 @@ PYTHONPATH=. python train.py
 
 ### 复现训练
 
-目标是 **~0.5B zh↔en 指令翻译模型**（`K3Config.preset("0.5b")` = 482M，tied Qwen3 词表）。本机 RTX 3060 6GB 只跑 8M 全流程孪生；0.5B 预训练需要 **32–40GB Ampere bf16**。
+目标是 **~0.5B zh↔en 指令翻译模型**（`K3Config.preset("0.5b")` ≈ 415M，tied Yi-6B 64k 词表）。本机 RTX 3060 6GB 只跑 8M 全流程孪生；0.5B 预训练需要 **32–40GB Ampere bf16**。
 
 成功标准是冻结集上的 `translation_success()`，**不是** wiki train loss。wiki 预训练没见过 `Translate to English:\n...`，预训练阶段 `eval_mt` 的 success_rate 预期 ≈0。
 
@@ -160,7 +160,7 @@ uv run python train_k3.py --preset 0.5b --attnres block \
   --max-tokens 1000000000 --warmup 2000
 ```
 
-`0.5b` 预设：`d=768`，`L=24`（6×3 KDA + 1 MLA），`H=12`，`head=64`，`chunk=64`，LatentMoE `ℓ=384` / 16 routed / Top-2 / shared 2，tied Qwen3 embedding，activation checkpoint 默认开。训练默认 seq 2048、micro-batch 2、grad-acc 8、lr 3e-4、warmup **64 optimizer steps**。checkpoint：`ckpts/k3_0.5b.pt`，另写 `_last` / `_best`（best 按 held-out CE）。
+`0.5b` 预设：`d=768`，`L=24`（6×3 KDA + 1 MLA），`H=12`，`head=64`，`chunk=64`，LatentMoE `ℓ=384` / 16 routed / Top-2 / shared 2，tied Yi-6B embedding（64k，有 EOS），activation checkpoint 默认开。训练默认 seq 2048、micro-batch 2、grad-acc 8、lr 3e-4、warmup **64 optimizer steps**。checkpoint：`ckpts/k3_0.5b.pt`，另写 `_last` / `_best`（best 按 held-out CE）。**不能**从 Qwen3 词表的旧 ckpt `--resume`。
 
 Token 会计：`step` 仍是 micro-batch；有效 token = `batch × seq_len × micro_steps`。默认 0.5b 冒烟是 **8.2M token ≈ 0.017 tok/param**。翻译前置 LM 的最低有意义预算是 **1B token**（`--max-tokens`），不是 2000 step。
 

kda/models/k3_config.py

@@ -9,13 +9,15 @@ Hybrid Attention (K3): 每 4 层 1 次 Gated MLA, 末层强制 MLA.
 
 Presets:
     toy  — ~8M, 自训 8k SP, 本地过拟合
-    0.5b — ~482M, Qwen3 词表, 32–40GB bf16；默认 step 是冒烟，翻译前置用 --max-tokens
+    0.5b — ~415M, Yi-6B 词表 (64k), 32–40GB bf16；默认 step 是冒烟，翻译前置用 --max-tokens
 """
 from __future__ import annotations
 
 from dataclasses import dataclass
 
-# Qwen3 config.json; train_k3 overrides with len(tokenizer).
+# 01-ai/Yi-6B config.json; train_k3 overrides with len(tokenizer).
+YI6B_VOCAB_SIZE = 64000
+# Kept for old Qwen3 checkpoints / docs.
 QWEN3_VOCAB_SIZE = 151936
 
 
@@ -24,7 +26,7 @@ class K3Config:
     # 主干
     hidden_size: int = 256
     num_hidden_layers: int = 4
-    vocab_size: int = 8192               # toy: data/spm_4k; 0.5b: Qwen3
+    vocab_size: int = 8192               # toy: data/spm_4k; 0.5b: Yi-6B 64k
     initializer_range: float = 0.02
     norm_eps: float = 1e-6
     tie_word_embeddings: bool = False
@@ -76,11 +78,11 @@ class K3Config:
             return cls()
         if name in {"0.5b", "500m"}:
             # H * head_dim == hidden. Routed 16 Top-2; LatentMoE padded bmm.
-            # ~482M with tied Qwen3 embeddings. 6×(3 KDA + 1 MLA).
+            # ~415M with tied Yi-6B embeddings. 6×(3 KDA + 1 MLA).
             return cls(
                 hidden_size=768,
                 num_hidden_layers=24,
-                vocab_size=QWEN3_VOCAB_SIZE,
+                vocab_size=YI6B_VOCAB_SIZE,
                 tie_word_embeddings=True,
                 max_position_embeddings=2048,
                 num_heads=12,

kda/training/data.py

@@ -57,7 +57,11 @@ class HuggingFaceTokenizer:
 
     @property
     def vocab_size(self) -> int:
-        return int(len(self._tok))
+        # len(tok) 数的是去重后的 surface form; 词表有重复 piece 时 (如 Yi-6B
+        # 63992 vs 最大 id 63999) 会小于真实 id 范围, embedding 越界触发
+        # device-side assert. 以最大 id + 1 为准.
+        max_id = max(self._tok.get_vocab().values())
+        return max(int(len(self._tok)), max_id + 1)
 
     def encode(self, text: str) -> list[int]:
         return list(self._tok.encode(text, add_special_tokens=False))
@@ -75,6 +79,8 @@ def load_tokenizer(source: str) -> Tokenizer:
     from transformers import AutoTokenizer
 
     tok = AutoTokenizer.from_pretrained(source, trust_remote_code=True)
+    # 只借词表分词, 语料随后按 seq_len 切块, 不受原模型 4096 上限约束
+    tok.model_max_length = 10**9
     return HuggingFaceTokenizer(tok)
 
 

kda/training/eval_mt.py

@@ -67,14 +67,18 @@ def evaluate_pairs(
         want = "zh" if target_lang.startswith("zh") else "en"
         lang_ok += int(_detect_lang(hyp) == want)
         chrf_sum += _chrf(hyp, ref)
-    corpus = {}
+    corpus = {"chrf": chrf_sum / max(n, 1), "bleu": None}
     try:
-        from sacrebleu.metrics import BLEU, CHRF
+        from sacrebleu.metrics import CHRF
 
         corpus["chrf"] = float(CHRF(word_order=2).corpus_score(hyps, [refs[:n]]).score)
+    except Exception:
+        pass
+    try:
+        from sacrebleu.metrics import BLEU
+
         corpus["bleu"] = float(BLEU().corpus_score(hyps, [refs[:n]]).score)
     except Exception:
-        corpus["chrf"] = chrf_sum / max(n, 1)
         corpus["bleu"] = None
     return {
         "n": n,
@@ -131,6 +135,8 @@ def main() -> None:
         )
         printable = {k: v for k, v in out.items() if k != "hyps"}
         print(json.dumps(printable, ensure_ascii=False, indent=2))
+        for i, hyp in enumerate(out["hyps"][: min(5, out["n"])]):
+            print(f"  [{i}] {hyp}")
     elif not args.prefix:
         raise SystemExit("pass --prefix and/or --src + --ref")
 

kda/training/success.py

@@ -28,8 +28,33 @@ def _detect_lang(text: str) -> str | None:
     return tag[:2]
 
 
+def _chrf_ngram(hyp: str, ref: str, max_n: int = 4) -> float:
+    """Count-based char n-gram F (β=2), 0–100. Not set-overlap unigrams."""
+    from collections import Counter
+
+    hyp, ref = hyp.strip(), ref.strip()
+    if not hyp or not ref:
+        return 0.0
+    scores: list[float] = []
+    for n in range(1, max_n + 1):
+        if len(hyp) < n or len(ref) < n:
+            scores.append(0.0)
+            continue
+        hc = Counter(hyp[i : i + n] for i in range(len(hyp) - n + 1))
+        rc = Counter(ref[i : i + n] for i in range(len(ref) - n + 1))
+        overlap = sum((hc & rc).values())
+        prec = overlap / max(sum(hc.values()), 1)
+        rec = overlap / max(sum(rc.values()), 1)
+        if prec + rec == 0:
+            scores.append(0.0)
+            continue
+        beta2 = 4.0
+        scores.append((1.0 + beta2) * prec * rec / (beta2 * prec + rec))
+    return 100.0 * sum(scores) / max(len(scores), 1)
+
+
 def _chrf(hyp: str, ref: str) -> float:
-    """chrF++ in 0–100. Falls back to char unigram F if sacrebleu is missing."""
+    """chrF++ in 0–100. Falls back to count-based char n-grams if sacrebleu is missing."""
     if not hyp or not ref:
         return 0.0
     try:
@@ -37,16 +62,7 @@ def _chrf(hyp: str, ref: str) -> float:
 
         return float(CHRF(word_order=2).sentence_score(hyp, [ref]).score)
     except Exception:
-        hyp_c, ref_c = list(hyp), list(ref)
+        return _chrf_ngram(hyp, ref)
-        if not hyp_c:
-            return 0.0
-        ref_set = set(ref_c)
-        overlap = sum(1 for c in hyp_c if c in ref_set)
-        prec = overlap / len(hyp_c)
-        rec = overlap / max(len(ref_c), 1)
-        if prec + rec == 0:
-            return 0.0
-        return 100.0 * 2 * prec * rec / (prec + rec)
 
 
 def translation_success(

notes/ledger.yaml

@@ -45,6 +45,8 @@ questions:
     text: "Block AttnRes 的两阶段算法为什么和 naive 逐层实现数值等价？"
   - id: Q9
     text: "深度残差接入 CausalLM 时怎样避免参数被重复注册？"
+  - id: Q10
+    text: "为什么不用 stack([e(z) for e in experts]) 稠密计算全部专家？稀疏 permute-dispatch 如何让每个 token 只算 k 个专家？"
 
 claims:
   - id: C1
@@ -83,6 +85,18 @@ claims:
     text: "BorrowedSubLayer 用普通 tuple 持有 norm/fn，不注册为子模块，保证参数与 state_dict 键不重复"
     kind: methodological
     status: supporting
+  - id: C10
+    text: "LatentMoE 稀疏执行 = permute-dispatch + pad 到 [R, C, ℓ] + 三次 bmm + scatter-add，每个 token 只算 k 个专家（FLOPs R·C 而非 R·N）"
+    kind: methodological
+    status: core
+  - id: C11
+    text: "K3 路由 = s=σ(W_r x)、Top-k(s+b)、p_i = s_i/Σ_{j∈T}s_j；expert_bias 只进 TopK 选择、不进归一化权重"
+    kind: methodological
+    status: core
+  - id: C12
+    text: "负载均衡：Switch/GShard aux = n_r·Σ f_e·P_e 与 router z-loss = mean (logsumexp logits)^2，训练时加到 CE 上，只更新 router"
+    kind: methodological
+    status: core
 
 symbols:
   - {name: B, latex: "B", meaning: "batch size", kind: "shape parameter"}
@@ -115,6 +129,14 @@ symbols:
   - {name: h_l, latex: "h_l", meaning: "深度注意力聚合出的层输入", domain: "[B, T, D]", kind: value}
   - {name: b_j, latex: "b_j", meaning: "Block AttnRes 第 j 块的输出", domain: "[B, T, D]", kind: value}
   - {name: p, latex: "p", meaning: "块内 running partial", domain: "[B, T, D]", kind: value}
+  - {name: s_moe, latex: "s", meaning: "router sigmoid 分数 σ(W_r x)", domain: "[B, T, n_r]", kind: value}
+  - {name: b, latex: "b", meaning: "expert bias（非持久 buffer，只进 TopK）", domain: "[n_r]", kind: value}
+  - {name: p_i, latex: "p_i", meaning: "sigmoid-L1 路由权重", domain: "[B, T, k]", kind: value}
+  - {name: C_moe, latex: "C_{\\mathrm{moe}}", meaning: "MoE 专家容量 = max 负载（pad 宽度）", kind: "shape parameter"}
+  - {name: f_e, latex: "f_e", meaning: "专家 e 被路由到的 token 占比", kind: value}
+  - {name: P_e, latex: "P_e", meaning: "专家 e 的平均 sigmoid 分数", kind: value}
+  - {name: L_aux, latex: "\\mathcal{L}_{aux}", meaning: "Switch/GShard 负载均衡损失", kind: value}
+  - {name: L_z, latex: "\\mathcal{L}_z", meaning: "router z-loss", kind: value}
 
 terms:
   - {canonical: "KDA", aliases: ["Key-Decayed Attention", "键衰减注意力"]}
@@ -129,6 +151,10 @@ terms:
   - {canonical: "depth residual", aliases: ["DepthResidual", "深度维残差"]}
   - {canonical: "online softmax", aliases: ["在线 softmax", "增量 softmax"]}
   - {canonical: "atomic layer", aliases: ["原子层", "atomic sublayer"]}
+  - {canonical: "permute-dispatch", aliases: ["置换-分发", "专家分发", "dispatch"]}
+  - {canonical: "grouped GEMM", aliases: ["padded bmm", "分组矩阵乘", "batched GEMM"]}
+  - {canonical: "load balancing loss", aliases: ["负载均衡损失", "aux loss", "Switch/GShard aux"]}
+  - {canonical: "z-loss", aliases: ["router z-loss", "logit 正则"]}
 
 derivations:
   - id: DER1
@@ -162,6 +188,26 @@ derivations:
       - {id: "3", from: "单源 partial p", to: "(m, n, d) = (s_p, p, 1)，因为 e^{s_p - m} = 1", rule: definition}
       - {id: "4", from: "(m_a,n_a,d_a), (m_b,n_b,d_b)", to: "m = \\max(m_a,m_b);\\ n = e^{m_a-m} n_a + e^{m_b-m} n_b;\\ d = e^{m_a-m} d_a + e^{m_b-m} d_b", rule: scale}
       - {id: "5", from: "(m, n, d)", to: "h_l = n / d，与 forward_naive 逐位一致", rule: definition}
+  - id: DER4
+    claim: C11
+    title: "K3 sigmoid-TopK 路由推导"
+    expand: true
+    figure: null
+    steps:
+      - {id: "1", from: "l = W_r x", to: "s = \\sigma(l) \\in [B,T,n_r]", rule: definition}
+      - {id: "2", from: "s + b", to: "T = \\mathrm{TopK}(s+b, k)", rule: selection}
+      - {id: "3", from: "T, s", to: "p_i = s_i / \\sum_{j \\in T} s_j", rule: normalize}
+      - {id: "4", from: "p, z", to: "u = \\sum_{i \\in T} p_i E_i^{rt}(z)", rule: definition}
+  - id: DER5
+    claim: C10
+    title: "稀疏 dispatch 执行流推导"
+    expand: true
+    figure: null
+    steps:
+      - {id: "1", from: "tok 重复 k 次 + eid 扁平化", to: "order = argsort(eid)，同专家 token 连续", rule: permute}
+      - {id: "2", from: "counts = bincount(eid)", to: "C = max(counts)；padded = index_put(zeros[R,C,ℓ], (eid, local_pos), z[tok])", rule: pad}
+      - {id: "3", from: "padded + 堆叠权重 [R,...]", to: "三次 bmm 得 [R,C,ff] → [R,C,ℓ]（grouped GEMM）", rule: substitute}
+      - {id: "4", from: "out[eid,local_pos] 加权", to: "u = index_add(0, tok, p ⊙ out)，FLOPs R·C 而非 R·N", rule: scatter-add}
 
 figures:
   - id: F1

notes/notes-macros.tex

@@ -10,6 +10,7 @@
 \usepackage{subcaption}
 \usepackage{float}
 \usepackage{tikz}
+\usetikzlibrary{positioning, arrows.meta, decorations.pathreplacing, calc}
 \usepackage{hyperref}
 \usepackage{xcolor}
 \usepackage{multicol}

notes/sections/sec-07.tex

@@ -75,7 +75,7 @@ class SiTU(nn.Module):
   p_i = \frac{s_i}{\sum_{j\in T} s_j}
 \]
 
-\item \textbf{Routed 专家}（在 latent 空间 $\ell$ 上，稀疏执行，见 \S7.4）：
+\item \textbf{Routed 专家}（在 latent 空间 $\ell$ 上，稀疏执行，见 \ref{sec:sparse-dispatch} 节）：
 \[
   u = \sum_{i \in \mathrm{Top\text{-}k}} p_i \cdot E_i^{\mathrm{rt}}(z)
   \qquad \shape{B, T, \ell}
@@ -107,10 +107,10 @@ Shared 专家保持全宽 $d$，提供基础表达能力。
 \begin{codemathtop}{layers/latent\_moe.py — \_route（K3 eq.13）}
 \begin{lstlisting}
 def _route(self, logits):                       # logits: [B, T, n_routed]
-    scores = sigmoid(logits)                    # s = σ(W_r x)
+    scores = sigmoid(logits)                    # s = sigma(W_r x)
     ids = topk(scores + self.expert_bias, k).indices   # T = TopK(s+b)
     selected = scores.gather(-1, ids)
-    probs = selected / selected.sum(-1).clamp_min(1e-9) # p_i = s_i / Σ_{j∈T} s_j
+    probs = selected / selected.sum(-1).clamp_min(1e-9) # p_i = s_i / sum_{j in T} s_j
     return ids, probs
 \end{lstlisting}
 \end{codemathtop}
@@ -138,7 +138,7 @@ def _routed_u(self, z, ids, probs):             # z: [B,T,ell]  ids/probs: [B,T,
     tok = arange(N).unsqueeze(1).expand(N, k).reshape(-1)   # 每个 token 重复 k 次
     eid, pw = ids.reshape(-1), probs.reshape(-1)
 
-    order = eid.argsort(stable=True)            # 按专家 id 排序 → 同专家连续
+    order = eid.argsort(stable=True)            # 按专家 id 排序 -> 同专家连续
     tok, eid, pw = tok[order], eid[order], pw[order]
 
     counts  = bincount(eid, minlength=R)        # 每个专家的 token 数
@@ -164,9 +164,9 @@ def _routed_u(self, z, ids, probs):             # z: [B,T,ell]  ids/probs: [B,T,
 \end{lstlisting}
 \end{codemathtop}
 
-三步走：\textbf{① permute-dispatch}（按专家排序 + pad 到 $[R, C, \ell]$）→
+三步走：\textbf{(1) permute-dispatch}（按专家排序 + pad 到 $[R, C, \ell]$）$\to$
-\textbf{② padded bmm}（专家参数堆成 batch 维，三次 batched GEMM 一次算完 $R$ 个专家）→
+\textbf{(2) padded bmm}（专家参数堆成 batch 维，三次 batched GEMM 一次算完 $R$ 个专家）$\to$
-\textbf{③ scatter-add}（\texttt{index\_add} 把加权输出按 \texttt{tok} 累加回 $u$）。
+\textbf{(3) scatter-add}（\texttt{index\_add} 把加权输出按 \texttt{tok} 累加回 $u$）。
 
 \begin{importantbox}{为什么不用 dense stack？}
 朴素写法 \texttt{stack([e(z) for e in experts])} 会让每个专家都算全部 $B\cdot T$ 个 token，
@@ -197,7 +197,7 @@ Top-k 路由容易"塌缩"到少数专家（router 学出永远选某几个专
 \]
 
 \begin{center}
-\begin{tabular}{ll}
+\begin{tabular}{lp{11.5cm}}
 \toprule
 项 & 作用 \\
 \midrule
@@ -215,18 +215,19 @@ def _balancing_losses(self, logits, ids):
     counts = bincount(ids.reshape(-1), minlength=self.n_routed).float()
     frac = counts / counts.sum().clamp_min(1.0)     # f_e
     prob_mean = scores.mean(dim=0)                   # P_e
-    aux = self.n_routed * (frac * prob_mean).sum()   # N Σ f_e P_e
+    aux = self.n_routed * (frac * prob_mean).sum()   # N * sum_e f_e * P_e
     z_loss = logsumexp(flat, dim=-1).square().mean() # mean (logsumexp)^2
     return self.aux_loss_coef * aux, self.z_loss_coef * z_loss
 \end{lstlisting}
 \end{codemathtop}
 
 两个损失只在 \texttt{self.training} 且系数非零时计算；系数默认
-$\alpha_{\mathrm{aux}} = 10^{-2}$、$\alpha_z = 10^{-3}$（\texttt{K3Config.moe\_aux\_loss\_coef} /
+$\alpha_{\mathrm{aux}} = 10^{-2}$、$\alpha_z = 10^{-3}$（即 \texttt{K3Config} 的
-\texttt{moe\_z\_loss\_coef}，可用 \texttt{--moe-aux-coef} / \texttt{--moe-z-coef} 覆盖）。
+\texttt{moe\_aux\_loss\_coef} / \texttt{moe\_z\_loss\_coef}，可用 \texttt{--moe-aux-coef}
-train loop 里 \texttt{moe\_router\_losses(model)} 把所有 LatentMoE 层的损失求和，
+/ \texttt{--moe-z-coef} 覆盖）。train loop 里 \texttt{moe\_router\_losses(model)}
-\texttt{loss = task + aux + z\_loss} 一起反传。aux/z 只更新 router 参数，
+把所有 LatentMoE 层的损失求和，\texttt{loss = task + aux + z\_loss} 一起反传。
-不碰专家权重（\texttt{ids} 已 \texttt{.detach()}）。
+两个损失只依赖 router 输出 \texttt{logits} 与不可微的索引 \texttt{ids}，
+所以梯度只流回 router 的 $W_r$，不碰专家权重。
 
 \subsection{形状总览}
 

notes/sections/sec-08.tex

@@ -153,6 +153,172 @@ class DecoderBlock(nn.Module):
 \end{lstlisting}
 \end{codemathtop}
 
+\subsection{架构图}
+
+\begin{figure}[H]
+\centering
+\begin{subfigure}[t]{0.44\textwidth}
+\centering
+\begin{tikzpicture}[>=Stealth, node distance=4mm,
+  blk/.style={draw, rounded corners=2pt, minimum width=32mm, minimum height=6mm,
+              align=center, font=\small},
+  io/.style={font=\small\itshape}]
+  \node[io] (in) {Input tokens};
+  \node[blk, fill=gray!8, below=5mm of in] (emb) {Embedding};
+  \node[blk, fill=blue!10, draw=blue!40, below=5mm of emb] (l0) {KDA + MoE};
+  \node[blk, fill=blue!10, draw=blue!40, below=2mm of l0] (l1) {KDA + MoE};
+  \node[blk, fill=blue!10, draw=blue!40, below=2mm of l1] (l2) {KDA + MoE};
+  \node[blk, fill=orange!12, draw=orange!50, below=2mm of l2] (l3) {MLA + MoE};
+  \node[below=1mm of l3, font=\normalsize] (dots) {$\vdots$};
+  \node[blk, fill=orange!12, draw=orange!50, below=1mm of dots] (lL) {MLA + MoE};
+  \draw[decorate, decoration={brace, amplitude=5pt, mirror}]
+    ([xshift=2mm]l0.north east) -- ([xshift=2mm]lL.south east)
+    node[midway, right=6pt, font=\small] {$\times L$};
+  \node[blk, fill=gray!8, below=5mm of lL] (fnorm) {RMSNorm};
+  \node[blk, fill=gray!8, below=of fnorm] (head) {LM Head};
+  \node[io, below=of head] (out) {Logits};
+  \foreach \a/\b in {in/emb, emb/l0, l0/l1, l1/l2, l2/l3, l3/dots, dots/lL,
+                     lL/fnorm, fnorm/head, head/out}
+    \draw[->] (\a) -- (\b);
+  \node[left=1mm of l0, font=\scriptsize, text=gray] {0};
+  \node[left=1mm of l1, font=\scriptsize, text=gray] {1};
+  \node[left=1mm of l2, font=\scriptsize, text=gray] {2};
+  \node[left=1mm of l3, font=\scriptsize, text=gray] {3};
+  \node[left=1mm of lL, font=\scriptsize, text=gray] {$L{-}1$};
+  \node[right=3mm of lL, font=\tiny, text=orange!60!black] {(强制)};
+\end{tikzpicture}
+\caption{整体模型}
+\end{subfigure}
+\hfill
+\begin{subfigure}[t]{0.44\textwidth}
+\centering
+\begin{tikzpicture}[>=Stealth, node distance=5mm,
+  blk/.style={draw, rounded corners=2pt, minimum width=26mm, minimum height=6mm,
+              align=center, font=\small},
+  add/.style={circle, draw, thick, inner sep=0pt, minimum size=5.5mm,
+              font=\small\bfseries},
+  io/.style={font=\small\itshape}]
+  \node[io] (x) {$x$};
+  \node[blk, fill=gray!8, below=8mm of x] (n1) {RMSNorm};
+  \node[blk, fill=blue!10, draw=blue!40, below=of n1] (attn) {Attention};
+  \node[add, below=8mm of attn] (a1) {$+$};
+  \node[blk, fill=gray!8, below=8mm of a1] (n2) {RMSNorm};
+  \node[blk, fill=green!10, draw=green!40, below=of n2] (ffn) {FFN};
+  \node[add, below=8mm of ffn] (a2) {$+$};
+  \node[io, below=8mm of a2] (y) {$y$};
+  \foreach \a/\b in {x/n1, n1/attn, attn/a1, a1/n2, n2/ffn, ffn/a2, a2/y}
+    \draw[->] (\a) -- (\b);
+  \draw[->, gray!50, rounded corners=3pt]
+    (x.east) -- ++(14mm,0) |- (a1.east);
+  \draw[->, gray!50, rounded corners=3pt]
+    (a1.west) -- ++(-14mm,0) |- (a2.west);
+  \node[right=9mm of attn, font=\tiny, text=blue!60!black, align=left]
+    {KDA\\[-1pt]or MLA};
+  \node[left=9mm of ffn, font=\tiny, text=green!50!black, align=right]
+    {LatentMoE\\[-1pt]or SwiGLU};
+\end{tikzpicture}
+\caption{DecoderBlock}
+\end{subfigure}
+\caption{K3 混合架构。(a)~整体模型：每 4 层 1 次 MLA（层 3, 7, 11, \ldots），末层强制 MLA，
+  所有 FFN 均为 LatentMoE。(b)~DecoderBlock：Pre-Norm 残差，两个子块各含
+  RMSNorm $\to$ 子层 $\to$ 残差加。}
+\label{fig:k3-overview}
+\end{figure}
+
+\begin{figure}[H]
+\centering
+%% ---------- (a) KDA ----------
+\begin{subfigure}[t]{0.28\textwidth}
+\centering
+\begin{tikzpicture}[>=Stealth, node distance=5mm,
+  blk/.style={draw, rounded corners=2pt, minimum width=24mm, minimum height=6mm,
+              align=center, font=\footnotesize},
+  io/.style={font=\footnotesize\itshape}]
+  \node[io] (x) {$x$};
+  \node[blk, fill=blue!8, below=5mm of x] (proj)
+    {5 投影\\[-1pt]{\tiny $q, k, v, g, \beta$}};
+  \node[blk, fill=blue!12, draw=blue!40, below=of proj] (gate)
+    {Gate 激活};
+  \node[blk, fill=blue!20, draw=blue!50, below=of gate, minimum height=9mm]
+    (kda) {\texttt{chunk\_kda}\\[-1pt]{\tiny decay $+$ delta rule}};
+  \node[blk, fill=blue!8, below=of kda] (op) {$W_o$};
+  \node[io, below=5mm of op] (y) {$y$};
+  \foreach \a/\b in {x/proj, proj/gate, gate/kda, kda/op, op/y}
+    \draw[->] (\a) -- (\b);
+\end{tikzpicture}
+\caption{KDA Attention}
+\end{subfigure}
+\hfill
+%% ---------- (b) Gated MLA ----------
+\begin{subfigure}[t]{0.35\textwidth}
+\centering
+\begin{tikzpicture}[>=Stealth, node distance=5mm,
+  blk/.style={draw, rounded corners=2pt, minimum width=24mm, minimum height=6mm,
+              align=center, font=\footnotesize},
+  mul/.style={circle, draw, inner sep=0pt, minimum size=5mm, font=\tiny},
+  io/.style={font=\footnotesize\itshape}]
+  \node[io] (x) {$x$};
+  \node[blk, fill=orange!8, below=5mm of x] (lr)
+    {Q / KV 低秩压缩\\[-1pt]{\tiny $q_\downarrow\!\!\to\!\mathrm{norm}\!\to\!q_\uparrow$\;;\;
+     $c\!=\!\mathrm{norm}(W_\downarrow x)$}};
+  \node[blk, fill=orange!15, draw=orange!50, below=of lr] (abs)
+    {矩阵吸收 + 打分\\[-1pt]{\tiny $q_{\mathrm{abs}}\!=\!q\!\cdot\!W_{UK}$\;;\;
+     $\mathrm{score}\!=\!q_{\mathrm{abs}}\!\cdot\!c^T$}};
+  \node[blk, fill=orange!10, below=of abs] (sm)
+    {Causal Softmax};
+  \node[blk, fill=orange!12, draw=orange!40, below=of sm] (wuv)
+    {$\mathrm{attn}\!\cdot\!c \;\to\; W_{UV}^T$};
+  \node[mul, below=6mm of wuv] (m) {$\odot$};
+  \node[blk, fill=orange!6, right=4mm of m, minimum width=13mm, minimum height=5mm]
+    (g) {\tiny $\sigma(W_g x)$};
+  \draw[->] (g) -- (m);
+  \node[blk, fill=orange!8, below=6mm of m, minimum width=16mm] (op) {$W_o$};
+  \node[io, below=5mm of op] (y) {$y$};
+  \foreach \a/\b in {x/lr, lr/abs, abs/sm, sm/wuv, wuv/m, m/op, op/y}
+    \draw[->] (\a) -- (\b);
+\end{tikzpicture}
+\caption{Gated MLA}
+\end{subfigure}
+\hfill
+%% ---------- (c) LatentMoE ----------
+\begin{subfigure}[t]{0.30\textwidth}
+\centering
+\begin{tikzpicture}[>=Stealth, node distance=5mm,
+  blk/.style={draw, rounded corners=2pt, minimum width=16mm, minimum height=6mm,
+              align=center, font=\footnotesize},
+  add/.style={circle, draw, inner sep=0pt, minimum size=5mm,
+              font=\scriptsize\bfseries},
+  io/.style={font=\footnotesize\itshape}]
+  \node[io] (x) at (0,0) {$x$};
+  \node[blk, fill=green!10] (sh) at (-1.1,-1.3)
+    {Shared\\[-1pt]{\tiny SiTU, $d\!\to\!d$}};
+  \node[blk, fill=green!8, minimum width=20mm] (dr) at (1.1,-1.3)
+    {$W_\downarrow$ + Router\\[-1pt]{\tiny $\sigma$-TopK}};
+  \draw[->] (x) -- (sh);
+  \draw[->] (x) -- (dr);
+  \node[blk, fill=green!15, draw=green!40, minimum width=20mm] (re) at (1.1,-2.7)
+    {Routed 专家\\[-1pt]{\tiny SiTU, $\ell\!\to\!\ell$}};
+  \draw[->] (dr) -- (re);
+  \node[blk, fill=green!8, minimum width=20mm] (up) at (1.1,-4.0)
+    {RMSNorm $\to$ $W_\uparrow$};
+  \draw[->] (re) -- (up);
+  \node[add] (a) at (0,-5.2) {$+$};
+  \draw[->, rounded corners=3pt] (sh.south) -- ++(0,-3mm) -| (a);
+  \draw[->, rounded corners=3pt] (up.south) -- ++(0,-3mm) -| (a);
+  \node[io] (y) at (0,-6.0) {$y$};
+  \draw[->] (a) -- (y);
+\end{tikzpicture}
+\caption{LatentMoE}
+\end{subfigure}
+\caption{K3 三大组件。
+  (a)~KDA：5 路投影 $\to$ gate 激活 $\to$ \texttt{chunk\_kda}（decay $+$ delta rule）
+  $\to$ 输出投影。
+  (b)~Gated MLA：$q$ 吸收 $W_{UK}$ 后在 latent $c$ 上打分（NoPE）；输出经 sigmoid 门控。
+  (c)~LatentMoE：shared 全宽 $d$ + routed 半宽 $\ell\!=\!d/2$；sigmoid-TopK 路由，
+  padded bmm 稀疏执行。}
+\label{fig:k3-components}
+\end{figure}
+
 \subsection{本章小结}
 
 K3 架构 = Hybrid Attention（3 KDA + 1 MLA，末层强制 MLA）+ LatentMoE。

notes/sections/sec-11.tex

@@ -30,7 +30,7 @@ $n_r$ & routed 专家数 & 16 \\
 $k$ & Top-$k$ & 2 \\
 $n_s$ & shared 专家数 & 2 \\
 $d_{\mathrm{ff}}$ & 专家中间维度 & 96 \\
-$C$ & MoE 专家容量（pad 宽度） & 动态 \\
+$C_{\mathrm{moe}}$ & MoE 专家容量（pad 宽度） & 动态 \\
 $\alpha_{\mathrm{aux}}$ & Switch/GShard aux 系数 & $10^{-2}$ \\
 $\alpha_z$ & router z-loss 系数 & $10^{-3}$ \\
 $N$ & AttnRes 原子层数 ($= 2L$) & 8 \\
@@ -113,8 +113,8 @@ $s$ & \shape{B, T, n_r} & sigmoid 分数 $\sigma(\mathrm{logits})$ \\
 $b$ & \shape{n_r} & expert bias（非持久，只进 TopK） \\
 ids & \shape{B, T, k} & Top-$k$ 专家索引 \\
 $p_i$ & \shape{B, T, k} & sigmoid-L1 权重 $s_i/\sum_{j\in T}s_j$ \\
-padded & \shape{n_r, C, \ell} & dispatch 后 pad 到容量 $C$ \\
+padded & \shape{n_r, C_{\mathrm{moe}}, \ell} & dispatch 后 pad 到容量 $C_{\mathrm{moe}}$ \\
-$C$ & 标量 & 最大专家负载（pad 宽度） \\
+$C_{\mathrm{moe}}$ & 标量 & 最大专家负载（pad 宽度） \\
 $u$ & \shape{B, T, \ell} & routed 加权输出 \\
 $s_{\mathrm{sh}}$ & \shape{B, T, D} & shared 专家求和 \\
 $y$ & \shape{B, T, D} & $s_{\mathrm{sh}} + W_\uparrow \mathrm{RMSNorm}(u)$ \\
@@ -164,6 +164,11 @@ MLA 解压 & \texttt{'bhtj,hvj->bhtv'} & $\tilde{o}$ \shape{B,H,T,d_v} \\
 AttnRes 深度打分 & \texttt{'d,nbtd->nbt'} & $s_{l,i}$ \shape{n,B,T} \\
 AttnRes 深度加权和 & \texttt{'nbt,nbtd->btd'} & $h_l$ \shape{B,T,D} \\
 AttnRes 批量打分（inter） & \texttt{'qd,nbtd->qnbt'} & logits \shape{S,n,B,T} \\
+MoE dispatch pad & \texttt{index\_put} & padded \shape{R,C_{\mathrm{moe}},\ell} \\
+MoE gate 投影（grouped） & \texttt{bmm(padded, w\_g.T)} & $wg$ \shape{R,C_{\mathrm{moe}},ff} \\
+MoE up 投影（grouped） & \texttt{bmm(padded, w\_u.T)} & $wu$ \shape{R,C_{\mathrm{moe}},ff} \\
+MoE 输出投影（grouped） & \texttt{bmm(g$\odot$h, w\_o.T)} & out \shape{R,C_{\mathrm{moe}},\ell} \\
+MoE scatter-add & \texttt{index\_add(0, tok, ...)} & $u$ \shape{N,\ell} \\
 \bottomrule
 \end{tabular}
 \end{center}
@@ -177,7 +182,9 @@ AttnRes 批量打分（inter） & \texttt{'qd,nbtd->qnbt'} & logits \shape{S,n,B
 \item \textbf{分块} = chunk 内下三角解 + chunk 间状态递推，等价于 naive recurrent
 \item \textbf{GVA} = $H_V = G \cdot H$，forward repeat\_interleave / backward view+sum
 \item \textbf{MLA} = 低秩 latent + 矩阵吸收，KV cache 从 $2Hd$ 降到 $r$
-\item \textbf{LatentMoE} = shared 全宽 + routed 半宽 latent + SiTU-GLU 防溢出
+\item \textbf{LatentMoE} = shared 全宽 + routed 半宽 latent + SiTU-GLU 防溢出；
+      K3 sigmoid-TopK 路由 + 稀疏 permute-dispatch（每 token 只算 $k$ 个专家）+
+      Switch/GShard aux \& z-loss 防塌缩
 \item \textbf{K3 Hybrid} = 3 KDA + 1 MLA，KDA 提供位置感知
 \item \textbf{AttnRes} = 深度维 softmax 残差，Block 版把源数压到 $O(N/S)$，
   两阶段 = inter 批量 + intra online-softmax 合并

tests/integration/test_eval_mt.py

@@ -28,6 +28,16 @@ def test_good_zh2en_passes():
     assert translation_success(src, hyp, ref, target_lang="en") is True
 
 
+def test_english_wiki_garbage_does_not_pass_zh2en():
+    from kda.training.success import _chrf
+
+    src = "今天天气很好。"
+    hyp = "The first one's the time."
+    ref = "The weather is very nice today."
+    assert _chrf(hyp, ref) < 40.0
+    assert translation_success(src, hyp, ref, target_lang="en") is False
+
+
 def test_container_help_exits_2():
     import importlib.util
     from pathlib import Path

tests/integration/test_k3_arch.py

@@ -78,6 +78,7 @@ def test_preset_0_5b_schedule():
     assert cfg.hidden_size == 768
     assert cfg.num_heads * cfg.head_dim == cfg.hidden_size
     assert cfg.num_hidden_layers == 24
+    assert cfg.vocab_size == 64000
     assert cfg.tie_word_embeddings
     assert cfg.chunk_size == 64
     assert cfg.gradient_checkpointing is True

tests/integration/test_train_k3_resume.py

@@ -0,0 +1,81 @@
+"""Resume must not clobber attnres or skip a chunk at budget exit."""
+from argparse import Namespace
+from dataclasses import asdict
+
+import pytest
+import torch
+
+from kda.models.causal_lm import CausalLM
+from kda.models.k3_config import K3Config
+from kda.training.toy import load_ckpt
+from train_k3 import _apply_cli_overrides
+
+
+def _tiny_block():
+    return K3Config(
+        hidden_size=32,
+        num_hidden_layers=4,
+        num_heads=4,
+        head_dim=8,
+        chunk_size=4,
+        vocab_size=64,
+        moe_latent_size=16,
+        moe_d_ff=16,
+        n_routed=4,
+        top_k=2,
+        n_shared=1,
+        kv_lora_rank=8,
+        q_lora_rank=16,
+        qk_nope_head_dim=8,
+        v_head_dim=8,
+        attnres="block",
+        attnres_block_size=2,
+    )
+
+
+def _cli(**kwargs):
+    base = dict(
+        attnres=None,
+        attnres_block_size=None,
+        grad_checkpoint=None,
+        moe_aux_coef=None,
+        moe_z_coef=None,
+    )
+    base.update(kwargs)
+    return Namespace(**base)
+
+
+def test_resume_without_attnres_flag_keeps_block():
+    cfg = _tiny_block()
+    _apply_cli_overrides(cfg, _cli())
+    assert cfg.attnres == "block"
+    assert cfg.attnres_block_size == 2
+
+
+def test_explicit_attnres_overrides_resume():
+    cfg = _tiny_block()
+    _apply_cli_overrides(cfg, _cli(attnres="full", attnres_block_size=1))
+    assert cfg.attnres == "full"
+    assert cfg.attnres_block_size == 1
+
+
+def test_block_state_with_off_config_cannot_load(tmp_path):
+    cfg = _tiny_block()
+    model = CausalLM(cfg)
+    payload = {"config": asdict(cfg), "model_state": model.state_dict()}
+    payload["config"]["attnres"] = "off"
+    payload["config"]["attnres_block_size"] = None
+    path = str(tmp_path / "polluted.pt")
+    torch.save(payload, path)
+    with pytest.raises(RuntimeError, match="Unexpected key"):
+        load_ckpt(path)
+
+
+def test_budget_break_does_not_skip_yielded_chunk():
+    next_chunk = 10
+    for chunk_index in (10, 11, 12):
+        tokens = 100
+        if tokens >= 100:
+            break
+        next_chunk = chunk_index + 1
+    assert next_chunk == 10

train_k3.py

@@ -41,7 +41,7 @@ _TOY_TRAIN = {
     "gen_every": 200,
 }
 _B500M_TRAIN = {
-    "tokenizer": "Qwen/Qwen3-8B",
+    "tokenizer": "01-ai/Yi-6B",
     "out": "ckpts/k3_0.5b.pt",
     "limit": 20000,
     "batch": 2,
@@ -184,6 +184,20 @@ def _apply_moe_coefs(model, cfg: K3Config) -> None:
             module.z_loss_coef = cfg.moe_z_loss_coef
 
 
+def _apply_cli_overrides(cfg: K3Config, args: argparse.Namespace) -> None:
+    """Copy only flags the user actually passed. CLI defaults must not clobber a resume."""
+    if args.attnres is not None:
+        cfg.attnres = args.attnres
+    if args.attnres_block_size is not None:
+        cfg.attnres_block_size = args.attnres_block_size
+    if args.grad_checkpoint is not None:
+        cfg.gradient_checkpointing = args.grad_checkpoint
+    if args.moe_aux_coef is not None:
+        cfg.moe_aux_loss_coef = args.moe_aux_coef
+    if args.moe_z_coef is not None:
+        cfg.moe_z_loss_coef = args.moe_z_coef
+
+
 def _moe_log(model) -> dict:
     frac = moe_route_frac(model)
     if frac is None:
@@ -267,9 +281,10 @@ def main() -> None:
     p.add_argument("--device", default="auto")
     p.add_argument(
         "--attnres",
-        default="off",
+        default=None,
         choices=["off", "full", "block"],
-        help="depth mixer: off=standard residual, block=K3 AttnRes, full=per-layer AttnRes",
+        help="depth mixer: off=standard residual (preset default), block=K3 AttnRes, "
+        "full=per-layer AttnRes. Omit on --resume to keep the checkpoint value",
     )
     p.add_argument(
         "--attnres-block-size",
@@ -329,14 +344,7 @@ def main() -> None:
     tok = load_tokenizer(args.tokenizer)
     cfg = K3Config.preset(args.preset)
     cfg.vocab_size = tok.vocab_size
-    cfg.attnres = args.attnres
+    _apply_cli_overrides(cfg, args)
-    cfg.attnres_block_size = args.attnres_block_size
-    if args.grad_checkpoint is not None:
-        cfg.gradient_checkpointing = args.grad_checkpoint
-    if args.moe_aux_coef is not None:
-        cfg.moe_aux_loss_coef = args.moe_aux_coef
-    if args.moe_z_coef is not None:
-        cfg.moe_z_loss_coef = args.moe_z_coef
 
     langs = [part.strip() for part in args.langs.split(",") if part.strip()]
     tpm = tokens_per_micro(args.batch, args.seq_len)
@@ -364,19 +372,16 @@ def main() -> None:
                 f"{type(loaded_cfg).__name__}"
             )
         cfg = loaded_cfg
-        cfg.attnres = args.attnres
+        _apply_cli_overrides(cfg, args)
-        cfg.attnres_block_size = args.attnres_block_size
-        if args.grad_checkpoint is not None:
-            cfg.gradient_checkpointing = args.grad_checkpoint
-        if args.moe_aux_coef is not None:
-            cfg.moe_aux_loss_coef = args.moe_aux_coef
-        if args.moe_z_coef is not None:
-            cfg.moe_z_loss_coef = args.moe_z_coef
         model.gradient_checkpointing = cfg.gradient_checkpointing
         model.to(device)
         payload = torch.load(args.resume, map_location="cpu", weights_only=False)
         if payload.get("tokenizer") and payload["tokenizer"] != args.tokenizer:
-            print(f"warning: ckpt tokenizer {payload['tokenizer']} != {args.tokenizer}")
+            raise SystemExit(
+                f"tokenizer mismatch: ckpt {payload['tokenizer']!r} vs "
+                f"CLI {args.tokenizer!r}; embeddings are not interchangeable "
+                f"(do not resume a Qwen ckpt with Yi)"
+            )
         micro_step = int(payload.get("micro_step", 0))
         opt_step = int(payload.get("opt_step", 0))
         tokens = int(payload.get("tokens", 0))
@@ -469,6 +474,10 @@ def main() -> None:
     model.train()
     t0 = time.perf_counter()
     tokens_at_t0 = tokens
+    # Index of the next untrained chunk. Mid-loop saves use last_trained+1.
+    # The final save must NOT +1 again: the loop may break on a yielded chunk
+    # that was never trained (budget check is at the top).
+    next_chunk = chunk_index
     for chunk_index, x, y in iter_indexed(train_chunks, start=chunk_index):
         if args.max_tokens is not None:
             if tokens >= args.max_tokens:
@@ -497,6 +506,7 @@ def main() -> None:
         lr_now = optim.param_groups[0]["lr"]
         if raw_loss < best_train:
             best_train = raw_loss
+        next_chunk = chunk_index + 1
 
         metrics = {
             "train/loss": raw_loss,
@@ -542,7 +552,7 @@ def main() -> None:
                     micro_step=micro_step,
                     opt_step=opt_step,
                     tokens=tokens,
-                    chunk_index=chunk_index + 1,
+                    chunk_index=next_chunk,
                     best_heldout=best_heldout,
                 )
                 _save(_sibling(args.out, "_best"), payload)
@@ -570,7 +580,7 @@ def main() -> None:
                 micro_step=micro_step,
                 opt_step=opt_step,
                 tokens=tokens,
-                chunk_index=chunk_index + 1,
+                chunk_index=next_chunk,
                 best_heldout=best_heldout,
             )
             _save(_sibling(args.out, "_last"), payload)
@@ -586,7 +596,7 @@ def main() -> None:
         micro_step=micro_step,
         opt_step=opt_step,
         tokens=tokens,
-        chunk_index=chunk_index + 1,
+        chunk_index=next_chunk,
         best_heldout=best_heldout,
     )
     _save(args.out, payload)
@@ -596,6 +606,12 @@ def main() -> None:
     )
     if tracker is not None:
         tracker.finish()
+    if device == "cuda":
+        try:
+            torch.cuda.synchronize()
+            torch.cuda.empty_cache()
+        except Exception:
+            pass
 
 
 if __name__ == "__main__":

train_sft.py

@@ -339,6 +339,8 @@ def main() -> None:
                     )
                     printable = {k: v for k, v in out.items() if k != "hyps"}
                     print(printable)
+                    for i, hyp in enumerate((out.get("hyps") or [])[:2]):
+                        print(f"   hyp[{i}] {hyp}")
                     if tracker is not None:
                         tracker.log(
                             {