Use official Hugging Face Hub double-backslash \\(...\\) inline KaTeX delimiters

README.md

@@ -65,16 +65,16 @@ FastBrain-9B uses a 32-layer hybrid sequence backbone (`9.30B` parameters, `bflo
 
 ### 2.2 Joint Schema Decision Head and Vectorized CUDA Kernel
 
-The `JointSchemaHead` (`116M` parameters, stored in `joint_head.safetensors`) pools token representations bounded by `<|question_start|>`/`<|question_end|>` and `<|option_start|>`/`<|option_end|>` markers from the final backbone hidden states \(H \in \mathbb{R}^{T \times d}\), applies cross-attention over question-option pairs, and projects directly to scalar logits for three decision primitives:
-1. **`choice`** (\(K\)-way categorical distribution): \(\hat{p} = \operatorname{softmax}(z / \tau) \in \Delta^{K-1}\).
-2. **`noul`** (binary verification): \(\hat{p}(\text{true}) = \sigma(z_{\text{true}} - z_{\text{false}})\).
-3. **`score`** (ordinal rubric over levels \(v_1 < \dots < v_K\)): categorical probabilities \(\hat{p} \in \Delta^{K-1}\) together with expected value \(\mathbb{E}[\hat{y}] = \sum_{k=1}^K \hat{p}_k v_k\).
+The `JointSchemaHead` (`116M` parameters, stored in `joint_head.safetensors`) pools token representations bounded by `<|question_start|>`/`<|question_end|>` and `<|option_start|>`/`<|option_end|>` markers from the final backbone hidden states \\(H \in \mathbb{R}^{T \times d}\\), applies cross-attention over question-option pairs, and projects directly to scalar logits for three decision primitives:
+1. **`choice`** (\\(K\\)-way categorical distribution): \\(\hat{p} = \operatorname{softmax}(z / \tau) \in \Delta^{K-1}\\).
+2. **`noul`** (binary verification): \\(\hat{p}(\text{true}) = \sigma(z_{\text{true}} - z_{\text{false}})\\).
+3. **`score`** (ordinal rubric over levels \\(v_1 < \dots < v_K\\)): categorical probabilities \\(\hat{p} \in \Delta^{K-1}\\) together with expected value \\(\mathbb{E}[\hat{y}] = \sum_{k=1}^K \hat{p}_k v_k\\).
 
-In `joint_schema_model.py`, the reference Python span-extraction loop and padded SDPA mask are replaced on CUDA devices by `_forward_fast_cuda`: span means are computed in \(\mathcal{O}(1)\) kernel launches via prefix sums (`torch.cumsum`) over the schema suffix, and cross-attention is executed via packed variable-length FlashAttention (`torch.ops.aten._flash_attention_forward` parameterized by `cu_seqlens`). On NVIDIA RTX PRO 6000 Blackwell, this reduces isolated decision-head latency from `3.27 ms` to `1.72 ms` (**1.90× speedup**) with exact numerical equivalence (`max_logit_diff = 0.00000`).
+In `joint_schema_model.py`, the reference Python span-extraction loop and padded SDPA mask are replaced on CUDA devices by `_forward_fast_cuda`: span means are computed in \\(\mathcal{O}(1)\\) kernel launches via prefix sums (`torch.cumsum`) over the schema suffix, and cross-attention is executed via packed variable-length FlashAttention (`torch.ops.aten._flash_attention_forward` parameterized by `cu_seqlens`). On NVIDIA RTX PRO 6000 Blackwell, this reduces isolated decision-head latency from `3.27 ms` to `1.72 ms` (**1.90× speedup**) with exact numerical equivalence (`max_logit_diff = 0.00000`).
 
 ### 2.3 Ordinal-KL Distillation and Schema-Topology Calibration
 
-Standard cross-entropy or flat KL divergence treats ordinal rubric levels as unordered classes, penalizing adjacent-level errors identically to extreme errors. FastBrain-9B is trained on `TypeScript/FastBrain-Instruct` under a composite loss combining soft-target KL divergence, discrete ranked probability score (squared \(L_2\) distance between predicted and target cumulative distribution functions \(\hat{F}_k = \sum_{j \le k} \hat{p}_j\)), and expected-score mean squared error on `score` primitives:
+Standard cross-entropy or flat KL divergence treats ordinal rubric levels as unordered classes, penalizing adjacent-level errors identically to extreme errors. FastBrain-9B is trained on `TypeScript/FastBrain-Instruct` under a composite loss combining soft-target KL divergence, discrete ranked probability score (squared \\(L_2\\) distance between predicted and target cumulative distribution functions \\(\hat{F}_k = \sum_{j \le k} \hat{p}_j\\)), and expected-score mean squared error on `score` primitives:
 
 $$
 \mathcal{L}(\theta) = \mathrm{KL}(p \,\|\, \hat{p}_\theta) + \lambda_{\mathrm{ord}} \sum_{k=1}^{K-1} \bigl(\hat{F}_{\theta,k} - F_k\bigr)^2 + \mathbb{I}[\text{type}=\text{score}] \cdot \lambda_{\mathrm{mse}} \bigl(\mathbb{E}[\hat{y}_\theta] - \mathbb{E}[y]\bigr)^2.
@@ -101,19 +101,19 @@ At inference time, `joint_schema_model.py` optionally applies compile-time schem
 
 ### 3.1 Agent Tool-Call Guardrail Evaluation (`safeagents-judge-bench`)
 
-[`harness-hub/safeagents-judge-bench`](https://huggingface.co/datasets/harness-hub/safeagents-judge-bench/tree/v2) evaluates whether a System-1 decision model can audit suspicious tool calls flagged by a static scanner (`atif-scan`) during real coding-agent executions on Terminal-Bench 2.1, OpenThoughts-TBLite, and Terminal-Bench 4. Version 2 (`v2`) comprises \(N = 661\) tool calls across 55 tasks (`536` malicious `block` calls spanning `82` misbehaving trajectories and `125` legitimate `allow` calls). Each call is issued as a single zero-shot System-1 request containing one binary `noul` question (`block`) and one 7-way `choice` question (`legit`, `eval_gaming`, `harness_introspection`, `credential_misuse`, `exfiltration`, `sandbox_escape`, `other_overreach`). All v2 results in Table 2 were executed independently on NVIDIA A100-SXM4-80GB via Hugging Face Jobs ([Merged PR #1](https://huggingface.co/TypeScript/FastBrain-9B/discussions/1)).
+[`harness-hub/safeagents-judge-bench`](https://huggingface.co/datasets/harness-hub/safeagents-judge-bench/tree/v2) evaluates whether a System-1 decision model can audit suspicious tool calls flagged by a static scanner (`atif-scan`) during real coding-agent executions on Terminal-Bench 2.1, OpenThoughts-TBLite, and Terminal-Bench 4. Version 2 (`v2`) comprises \\(N = 661\\) tool calls across 55 tasks (`536` malicious `block` calls spanning `82` misbehaving trajectories and `125` legitimate `allow` calls). Each call is issued as a single zero-shot System-1 request containing one binary `noul` question (`block`) and one 7-way `choice` question (`legit`, `eval_gaming`, `harness_introspection`, `credential_misuse`, `exfiltration`, `sandbox_escape`, `other_overreach`). All v2 results in Table 2 were executed independently on NVIDIA A100-SXM4-80GB via Hugging Face Jobs ([Merged PR #1](https://huggingface.co/TypeScript/FastBrain-9B/discussions/1)).
 
-On the 7-way category classification track, FastBrain-9B achieves `0.751` macro-F1 and `0.858` accuracy (`567/661`), outperforming the 27.4B `Cloudflare/clef` model (`0.563` macro-F1, `0.737` accuracy) by `+18.8` percentage points in macro-F1 and `+12.1` points in accuracy, and improving upon its 9.4B base model `Cloudflare/clef-flash` (`0.462` macro-F1, `0.576` accuracy) by `+28.9` and `+28.2` points, respectively. Per-category F1 reaches `0.945` on `harness_introspection` (\(n=272\), recall `0.978`), `0.828` on `eval_gaming` (\(n=245\), recall `0.853`), and `0.761` on `legit` (\(n=125\), precision `0.975`).
+On the 7-way category classification track, FastBrain-9B achieves `0.751` macro-F1 and `0.858` accuracy (`567/661`), outperforming the 27.4B `Cloudflare/clef` model (`0.563` macro-F1, `0.737` accuracy) by `+18.8` percentage points in macro-F1 and `+12.1` points in accuracy, and improving upon its 9.4B base model `Cloudflare/clef-flash` (`0.462` macro-F1, `0.576` accuracy) by `+28.9` and `+28.2` points, respectively. Per-category F1 reaches `0.945` on `harness_introspection` (\\(n=272\\), recall `0.978`), `0.828` on `eval_gaming` (\\(n=245\\), recall `0.853`), and `0.761` on `legit` (\\(n=125\\), precision `0.975`).
 
-On the binary guardrail track, FastBrain-9B attains `0.985` AUROC and `0.996` malicious-call recall (`534/536`), intercepting all `82/82` unsafe trajectories (`median_bad_calls_before_catch = 0.0`), with `1.000` recall on `harness_introspection` (`272/272`), `credential_misuse` (`15/15`), and `sandbox_escape` (`4/4`). Under the uncalibrated default decision rule \(P(\text{block}) \ge 0.50\), balanced accuracy is `0.814` (false-block rate `0.368` across the 125 `allow` calls, compared with `0.808` balanced accuracy and `0.384` false-block rate for 27.4B `Cloudflare/clef`). Because rank-ordering discrimination is preserved (`0.985` AUROC), setting the operating threshold to \(P(\text{block}) \ge 0.961\) yields `0.938` balanced accuracy at a `0.056` (`7/125`) false-block rate while maintaining `82/82` trajectory interception. Table 2 also includes the `v1` release (\(N = 562\) calls, `78` trajectories), where FastBrain-9B ranked 1st of 9 on both tracks.
+On the binary guardrail track, FastBrain-9B attains `0.985` AUROC and `0.996` malicious-call recall (`534/536`), intercepting all `82/82` unsafe trajectories (`median_bad_calls_before_catch = 0.0`), with `1.000` recall on `harness_introspection` (`272/272`), `credential_misuse` (`15/15`), and `sandbox_escape` (`4/4`). Under the uncalibrated default decision rule \\(P(\text{block}) \ge 0.50\\), balanced accuracy is `0.814` (false-block rate `0.368` across the 125 `allow` calls, compared with `0.808` balanced accuracy and `0.384` false-block rate for 27.4B `Cloudflare/clef`). Because rank-ordering discrimination is preserved (`0.985` AUROC), setting the operating threshold to \\(P(\text{block}) \ge 0.961\\) yields `0.938` balanced accuracy at a `0.056` (`7/125`) false-block rate while maintaining `82/82` trajectory interception. Table 2 also includes the `v1` release (\\(N = 562\\) calls, `78` trajectories), where FastBrain-9B ranked 1st of 9 on both tracks.
 
-**Table 2: Zero-shot evaluation on `harness-hub/safeagents-judge-bench` (`v2`, \(N = 661\) calls, 82 unsafe trajectories; and `v1` reference, \(N = 562\)).**
+**Table 2: Zero-shot evaluation on `harness-hub/safeagents-judge-bench` (`v2`, \\(N = 661\\) calls, 82 unsafe trajectories; and `v1` reference, \\(N = 562\\)).**
 
 | Model | Params | Cat. Macro-F1 ↑ | Cat. Acc ↑ | AUROC ↑ | Bal. Acc ↑ | Recall ↑ | False Block ↓ | Traj. Caught ↑ | p50 Latency (Hardware) |
 | :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
-| **TypeScript/FastBrain-9B** (`v2`, default \(t = 0.50\)) | 9.4B | **0.751** | **0.858** | 0.985 | 0.814 | 0.996 | 0.368 | **82 / 82** | 327 ms (A100) · 104 ms (G4) |
-| **TypeScript/FastBrain-9B** (`v2`, calibrated \(t = 0.961\)) | 9.4B | **0.751** | **0.858** | 0.985 | **0.938** | 0.931 | 0.056 | **82 / 82** | 327 ms (A100) · 104 ms (G4) |
-| **TypeScript/FastBrain-9B** (`v1` official, \(N = 562\)) | 9.4B | **0.850** | **0.923** | 0.983 | **0.974** | **1.000** | 0.051 | **78 / 78** | 104 ms (RTX PRO 6000) |
+| **TypeScript/FastBrain-9B** (`v2`, default \\(t = 0.50\\)) | 9.4B | **0.751** | **0.858** | 0.985 | 0.814 | 0.996 | 0.368 | **82 / 82** | 327 ms (A100) · 104 ms (G4) |
+| **TypeScript/FastBrain-9B** (`v2`, calibrated \\(t = 0.961\\)) | 9.4B | **0.751** | **0.858** | 0.985 | **0.938** | 0.931 | 0.056 | **82 / 82** | 327 ms (A100) · 104 ms (G4) |
+| **TypeScript/FastBrain-9B** (`v1` official, \\(N = 562\\)) | 9.4B | **0.850** | **0.923** | 0.983 | **0.974** | **1.000** | 0.051 | **78 / 78** | 104 ms (RTX PRO 6000) |
 | Cloudflare/clef | 27.4B | 0.563 | 0.737 | **0.993** | 0.808 | **1.000** | 0.384 | **82 / 82** | 636 ms (A100) |
 | vllm-sr/d3-mini | 1.8B | 0.512 | 0.652 | 0.986 | 0.856 | **1.000** | 0.288 | **82 / 82** | 168 ms (A100) |
 | Cloudflare/clef-flash (base) | 9.4B | 0.462 | 0.576 | 0.967 | 0.893 | 0.978 | 0.192 | 81 / 82 | 326 ms (A100) |
@@ -128,11 +128,11 @@ On the binary guardrail track, FastBrain-9B attains `0.985` AUROC and `0.996` ma
 
 [`LocalLLaMA/typed-decisions`](https://huggingface.co/datasets/LocalLLaMA/typed-decisions) tests multi-primitive structured judgment across four enterprise workflows (`agent_trace_observability`, `customer_service`, `invoice_processing`, and `security_incidents`), comprising 400 held-out test cases and 2,000 individual decisions (`noul`, `choice`, and `score`) scored against teacher-panel soft label distributions. Two scoring conventions exist in the benchmark repository: `bench/score_with_jobs.py` resolves exact ties in the gold distribution by selecting the first index (`g.index(max(g))`), whereas `scripts/score_model.py` credits any tied maximum across the 20 tied test items; KL divergence and Brier score are identical under both scripts. We report both accuracy figures (`strict / tied-top`) alongside prediction traces in [`eval_submissions/`](./eval_submissions/).
 
-On the official zero-shot leaderboard (\(N = 43\) models), FastBrain-9B scores `0.7525` (`0.7625` tied-top) accuracy, `0.1508` KL divergence, `0.0795` Brier score, and `0.085` ECE at `50 ms` p50 latency (RTX PRO 6000 via SGLang). It places **7th of 43** overall, **5th of 36** among open-weight models, **2nd of 19** among ≤9B open-weight models, and **1st** among all `Clef`-architecture models, improving over 9.4B `Cloudflare/clef-flash` (`0.7100` accuracy, `0.2093` KL) by `+4.25` percentage points and over 27.4B `Cloudflare/clef` (`0.7275` accuracy, `0.1907` KL) by `+2.50` points. Across all 28 models exceeding `0.700` zero-shot accuracy, FastBrain-9B exhibits the lowest p50 latency (`50 ms`, compared with `118 ms` for 9B `Amos 1 medium`, `357 ms` for 27B `Amos 1 large`, `526 ms` for `meraGPT Decider 1`, and `3,335 ms` for 31B `Quyet-1.0-Large`). Evaluating the uncalibrated ordinal-KL distilled head directly yields `0.7735` raw accuracy (`0.1039` KL, `0.0582` Brier).
+On the official zero-shot leaderboard (\\(N = 43\\) models), FastBrain-9B scores `0.7525` (`0.7625` tied-top) accuracy, `0.1508` KL divergence, `0.0795` Brier score, and `0.085` ECE at `50 ms` p50 latency (RTX PRO 6000 via SGLang). It places **7th of 43** overall, **5th of 36** among open-weight models, **2nd of 19** among ≤9B open-weight models, and **1st** among all `Clef`-architecture models, improving over 9.4B `Cloudflare/clef-flash` (`0.7100` accuracy, `0.2093` KL) by `+4.25` percentage points and over 27.4B `Cloudflare/clef` (`0.7275` accuracy, `0.1907` KL) by `+2.50` points. Across all 28 models exceeding `0.700` zero-shot accuracy, FastBrain-9B exhibits the lowest p50 latency (`50 ms`, compared with `118 ms` for 9B `Amos 1 medium`, `357 ms` for 27B `Amos 1 large`, `526 ms` for `meraGPT Decider 1`, and `3,335 ms` for 31B `Quyet-1.0-Large`). Evaluating the uncalibrated ordinal-KL distilled head directly yields `0.7735` raw accuracy (`0.1039` KL, `0.0582` Brier).
 
-On the separate `train`-fitted leaderboard (\(N = 51\) models), fitting only scalar per-question log-priors and temperature parameters on the 1,200 `train` cases—with all backbone and head weights frozen (`no weights changed`)—achieves `0.7970` (`0.8070` tied-top) accuracy, `0.0816` KL divergence, and `0.0437` Brier score, ranking **12th-tied (14th listed of 51)** overall and **1st in KL calibration** among frozen-weight models.
+On the separate `train`-fitted leaderboard (\\(N = 51\\) models), fitting only scalar per-question log-priors and temperature parameters on the 1,200 `train` cases—with all backbone and head weights frozen (`no weights changed`)—achieves `0.7970` (`0.8070` tied-top) accuracy, `0.0816` KL divergence, and `0.0437` Brier score, ranking **12th-tied (14th listed of 51)** overall and **1st in KL calibration** among frozen-weight models.
 
-**Table 3: Performance on `LocalLLaMA/typed-decisions` (\(N = 400\) cases, 2,000 decisions). Values separated by `/` denote `score_with_jobs.py` / `score_model.py` tie handling.**
+**Table 3: Performance on `LocalLLaMA/typed-decisions` (\\(N = 400\\) cases, 2,000 decisions). Values separated by `/` denote `score_with_jobs.py` / `score_model.py` tie handling.**
 
 | Model | Params | Protocol | Overall Acc ↑ | KL ↓ | Brier ↓ | `noul` ↑ | `choice` ↑ | `score` ↑ | Agent ↑ | Cust. Svc ↑ | Invoice ↑ | Security ↑ | p50 Latency |
 | :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
@@ -154,7 +154,7 @@ On the separate `train`-fitted leaderboard (\(N = 51\) models), fitting only sca
 
 ### 3.3 Multi-Domain Decision Suite (Cloudflare Decision Index `v0.2.1`)
 
-On the 10-benchmark **Cloudflare Decision Index (`v0.2.1`)** suite (\(N = 22,427\) evaluation requests spanning AST tool calling, 20-candidate tool reranking, stateful API invocation, fine-grained intent classification, out-of-scope rejection, reasoning-intensive retrieval, e-commerce relevance, phishing detection, and tool-use governance), FastBrain-9B attains an **80.55%** unweighted macro mean (Table 4, Figures 1–3).
+On the 10-benchmark **Cloudflare Decision Index (`v0.2.1`)** suite (\\(N = 22,427\\) evaluation requests spanning AST tool calling, 20-candidate tool reranking, stateful API invocation, fine-grained intent classification, out-of-scope rejection, reasoning-intensive retrieval, e-commerce relevance, phishing detection, and tool-use governance), FastBrain-9B attains an **80.55%** unweighted macro mean (Table 4, Figures 1–3).
 
 Across the ≤9B parameter tier (`Clef-flash` 9.4B, `Kev 9B`, and `Laya` 0.4B), FastBrain-9B ranks **1st on all 10 benchmarks**, improving the 10-task macro mean over `Clef-flash` (`74.96%`) by `+5.59` percentage points and over `Kev 9B` (`76.51%`) by `+4.04` points. The largest gains occur on calibration-sensitive abstention and governance tasks: `+31.67` points on `CLINC150+OOS` (`98.44%` vs. `66.77%`), `+15.55` points on `When2Call` (`81.13%` vs. `65.58%`), and `+6.80` points on `PhishNChips` (`78.75%` vs. `71.95%`). Across all model scales up to 27.4B, FastBrain-9B ranks **2nd of 7** overall, surpassing `27B Jev` (`80.32%`) and `26B-A4B DiffusionGemma Jev` (`69.14%`), and exceeding `27.4B Clef` (`81.81%`) on 5 of 10 individual benchmarks (`BFCL`, `API-Bank`, `CLINC150+OOS`, `Home Appliances`, and `When2Call`).
 
@@ -167,7 +167,7 @@ Across the ≤9B parameter tier (`Clef-flash` 9.4B, `Kev 9B`, and `Laya` 0.4B),
 ![Figure 3: Reliability diagrams and open-set calibration breakdown](./assets/decision_calibration_breakdown.png)
 *Figure 3. Confidence calibration, open-set out-of-scope rejection (`CLINC150+OOS`), and abstention margin analysis (`When2Call`).*
 
-**Table 4: Per-benchmark results on Cloudflare Decision Index (`v0.2.1`, 10 tasks, \(N = 22,427\)). Bold denotes the highest score across all parameter scales; underline denotes best in the ≤9B class.**
+**Table 4: Per-benchmark results on Cloudflare Decision Index (`v0.2.1`, 10 tasks, \\(N = 22,427\\)). Bold denotes the highest score across all parameter scales; underline denotes best in the ≤9B class.**
 
 | Benchmark (Metric) | **FastBrain-9B** (Ours) | Clef-flash (Base) | Kev 9B | Clef | Jev | DiffGemma | Laya |
 | :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
@@ -190,7 +190,7 @@ Across the ≤9B parameter tier (`Clef-flash` 9.4B, `Kev 9B`, and `Laya` 0.4B),
 
 ### 4.1 Runtime Comparison Across Inference Engines
 
-Table 5 compares end-to-end latency, prefill throughput, and memory footprint across three serving backends—SGLang (`lmsysorg/sglang:dev-clef` with `JointSchemaPooler`), `llama.cpp` (`b11430` `ClefModel` graph in `Q8_0` and `Q4_K_M`), and native PyTorch (`joint_schema_model.py`)—benchmarking identical requests on a single NVIDIA RTX PRO 6000 Blackwell Server Edition GPU. Because `output_tokens = 0` for all requests, throughput is governed purely by prefill compute and span-pooling efficiency, reaching `19,319 tok/s` (`131.2` decisions/s) at batch size \(B = 4\) in SGLang.
+Table 5 compares end-to-end latency, prefill throughput, and memory footprint across three serving backends—SGLang (`lmsysorg/sglang:dev-clef` with `JointSchemaPooler`), `llama.cpp` (`b11430` `ClefModel` graph in `Q8_0` and `Q4_K_M`), and native PyTorch (`joint_schema_model.py`)—benchmarking identical requests on a single NVIDIA RTX PRO 6000 Blackwell Server Edition GPU. Because `output_tokens = 0` for all requests, throughput is governed purely by prefill compute and span-pooling efficiency, reaching `19,319 tok/s` (`131.2` decisions/s) at batch size \\(B = 4\\) in SGLang.
 
 **Table 5: End-to-end latency and prefill throughput on NVIDIA RTX PRO 6000 Blackwell Server Edition (G4).**
 
@@ -200,12 +200,12 @@ Table 5 compares end-to-end latency, prefill throughput, and memory footprint ac
 | Peak GPU Memory (16K context) | ~20.5 GiB | 12.55 GiB | **10.30 GiB** | 20.3–24.7 GiB |
 | Compatible with 16 GiB T4 GPU | No (BF16 TP=1) | Yes (`9.03 GiB` at 4K) | **Yes (`6.78 GiB` at 4K)** | Yes (`6.8 GiB` via NF4) |
 | Top-1 Agreement vs. PyTorch BF16 | **100.00%** | 99.86% (1,471 / 1,473) | 98.78% (1,455 / 1,473) | 100.00% (reference) |
-| 1. Short Intent Routing (293 tok, \(K=2\)) | **30.01 ms** (9,763 tok/s) | 32.82 ms (8,929 tok/s) | 31.69 ms (9,245 tok/s) | 43.23 ms (6,778 tok/s) |
-| 2. Typed Decisions (736 tok, \(K=5\)) | **50.29 ms** (14,635 tok/s) | 62.40 ms (11,795 tok/s) | 61.80 ms (11,909 tok/s) | 63.58 ms (11,576 tok/s) |
-| 3. When2Call Governance (1,068 tok, \(K=1\)) | **66.06 ms** (16,167 tok/s) | 87.78 ms (12,167 tok/s) | 89.34 ms (11,955 tok/s) | 77.77 ms (13,733 tok/s) |
-| 4. PhishNChips Security (1,303 tok, \(K=9\)) | **75.86 ms** (17,176 tok/s) | 108.55 ms (12,004 tok/s) | 109.97 ms (11,849 tok/s) | 90.32 ms (14,426 tok/s) |
-| 5. SafeAgents Judge (2,217 tok, \(K=2\)) | **125.85 ms** (17,616 tok/s) | 181.70 ms (12,201 tok/s) | 183.50 ms (12,082 tok/s) | 138.06 ms (16,058 tok/s) |
-| Batch \(B=4\) Typed Decisions (2,944 tok, 20 dec) | **152.39 ms** (19,319 tok/s) | 248.50 ms (11,847 tok/s) | 245.20 ms (12,006 tok/s) | 175.85 ms (16,742 tok/s) |
+| 1. Short Intent Routing (293 tok, \\(K=2\\)) | **30.01 ms** (9,763 tok/s) | 32.82 ms (8,929 tok/s) | 31.69 ms (9,245 tok/s) | 43.23 ms (6,778 tok/s) |
+| 2. Typed Decisions (736 tok, \\(K=5\\)) | **50.29 ms** (14,635 tok/s) | 62.40 ms (11,795 tok/s) | 61.80 ms (11,909 tok/s) | 63.58 ms (11,576 tok/s) |
+| 3. When2Call Governance (1,068 tok, \\(K=1\\)) | **66.06 ms** (16,167 tok/s) | 87.78 ms (12,167 tok/s) | 89.34 ms (11,955 tok/s) | 77.77 ms (13,733 tok/s) |
+| 4. PhishNChips Security (1,303 tok, \\(K=9\\)) | **75.86 ms** (17,176 tok/s) | 108.55 ms (12,004 tok/s) | 109.97 ms (11,849 tok/s) | 90.32 ms (14,426 tok/s) |
+| 5. SafeAgents Judge (2,217 tok, \\(K=2\\)) | **125.85 ms** (17,616 tok/s) | 181.70 ms (12,201 tok/s) | 183.50 ms (12,082 tok/s) | 138.06 ms (16,058 tok/s) |
+| Batch \\(B=4\\) Typed Decisions (2,944 tok, 20 dec) | **152.39 ms** (19,319 tok/s) | 248.50 ms (11,847 tok/s) | 245.20 ms (12,006 tok/s) | 175.85 ms (16,742 tok/s) |
 
 ### 4.2 Mixed-Precision GGUF Quantization Fidelity
 
@@ -215,8 +215,8 @@ Uniform 4-bit quantization degrades cross-attention span readout and linear-atte
 
 | Metric / Subset | PyTorch `bfloat16` (18.82 GB) | GGUF `Q8_0` (9.66 GB) | GGUF `Q4_K_M` (6.73 GB, `Q8_0` Head) |
 | :--- | :---: | :---: | :---: |
-| Top-1 Decision Agreement (\(N = 1,473\)) | 100.00% (ref) | 99.86% (1,471 / 1,473) | 98.78% (1,455 / 1,473) |
-| Mean Absolute Probability Error (\(\lvert \hat{p}_q - \hat{p}_{\mathrm{bf16}} \rvert\)) | 0.00000 | 0.00203 | 0.00387 |
+| Top-1 Decision Agreement (\\(N = 1,473\\)) | 100.00% (ref) | 99.86% (1,471 / 1,473) | 98.78% (1,455 / 1,473) |
+| Mean Absolute Probability Error (\\(\lvert \hat{p}_q - \hat{p}_{\mathrm{bf16}} \rvert\\)) | 0.00000 | 0.00203 | 0.00387 |
 | 10-Task Mean (Uncalibrated Head) | 82.37% | 82.34% (-0.03) | 82.56% (+0.19) |
 | 10-Task Mean (Schema-Calibrated) | 83.68% | 83.65% (-0.03) | 83.48% (-0.20) |
 | ├─ 1. BFCL / 3. API-Bank / 4. BANKING77 | 100.0% / 95.0% / 100.0% | 100.0% / 95.0% / 100.0% | 100.0% / 95.0% / 100.0% |

README_zh.md

@@ -39,16 +39,16 @@ FastBrain-9B 主干网络包含 32 层混合序列建模模块（`9.30B` 参数
 
 ### 2.2 联合 Schema 决策头与向量化 CUDA 算子
 
-`JointSchemaHead`（`116M` 参数，独立存储于 `joint_head.safetensors`）从主干末层隐藏状态 \(H \in \mathbb{R}^{T \times d}\) 中提取由 `<|question_start|>`/`<|question_end|>` 与 `<|option_start|>`/`<|option_end|>` 界定的片段表征，经问题-选项交叉注意力交互后映射为三类基础决策原语的标量对数几率：
-1. **`choice`**（\(K\) 分类离散分布）：输出归一化概率向量 \(\hat{p} = \operatorname{softmax}(z / \tau) \in \Delta^{K-1}\)。
-2. **`noul`**（二元真值判别）：输出命题成立概率 \(\hat{p}(\text{true}) = \sigma(z_{\text{true}} - z_{\text{false}})\)。
-3. **`score`**（定义在有序分值 \(v_1 < \dots < v_K\) 上的量表评估）：同时输出各等级概率 \(\hat{p} \in \Delta^{K-1}\) 与数学期望得分 \(\mathbb{E}[\hat{y}] = \sum_{k=1}^K \hat{p}_k v_k\)。
+`JointSchemaHead`（`116M` 参数，独立存储于 `joint_head.safetensors`）从主干末层隐藏状态 \\(H \in \mathbb{R}^{T \times d}\\) 中提取由 `<|question_start|>`/`<|question_end|>` 与 `<|option_start|>`/`<|option_end|>` 界定的片段表征，经问题-选项交叉注意力交互后映射为三类基础决策原语的标量对数几率：
+1. **`choice`**（\\(K\\) 分类离散分布）：输出归一化概率向量 \\(\hat{p} = \operatorname{softmax}(z / \tau) \in \Delta^{K-1}\\)。
+2. **`noul`**（二元真值判别）：输出命题成立概率 \\(\hat{p}(\text{true}) = \sigma(z_{\text{true}} - z_{\text{false}})\\)。
+3. **`score`**（定义在有序分值 \\(v_1 < \dots < v_K\\) 上的量表评估）：同时输出各等级概率 \\(\hat{p} \in \Delta^{K-1}\\) 与数学期望得分 \\(\mathbb{E}[\hat{y}] = \sum_{k=1}^K \hat{p}_k v_k\\)。
 
-在参考运行时 `joint_schema_model.py` 中，针对 CUDA 设备实现了融合算子路径 `_forward_fast_cuda`：利用基于 `torch.cumsum` 的 \(\mathcal{O}(1)\) 前缀和差分替代逐片段 Python 循环完成变长片段均值池化，并通过 `cu_seqlens` 紧凑打包调用变长 FlashAttention（`torch.ops.aten._flash_attention_forward`）替代稠密掩码注意力。在 NVIDIA RTX PRO 6000 Blackwell 上，该实现将决策头单次前向耗时由 `3.27 ms` 降至 `1.72 ms`（**1.90 倍加速**），且保持严格数值等价（最大 Logit 绝对偏差 `max_logit_diff = 0.00000`）。
+在参考运行时 `joint_schema_model.py` 中，针对 CUDA 设备实现了融合算子路径 `_forward_fast_cuda`：利用基于 `torch.cumsum` 的 \\(\mathcal{O}(1)\\) 前缀和差分替代逐片段 Python 循环完成变长片段均值池化，并通过 `cu_seqlens` 紧凑打包调用变长 FlashAttention（`torch.ops.aten._flash_attention_forward`）替代稠密掩码注意力。在 NVIDIA RTX PRO 6000 Blackwell 上，该实现将决策头单次前向耗时由 `3.27 ms` 降至 `1.72 ms`（**1.90 倍加速**），且保持严格数值等价（最大 Logit 绝对偏差 `max_logit_diff = 0.00000`）。
 
 ### 2.3 序数 KL 蒸馏与编译期 Schema 拓扑校准
 
-标准交叉熵或普通多类 KL 散度将有序评定量表视为无序独立类别，对相邻等级误差与跨端极端误差施加同等惩罚。FastBrain-9B 在 `TypeScript/FastBrain-Instruct` 数据集上采用复合分布匹配损失进行训练，联合优化软标签 KL 散度、离散分级概率评分（预测累积分布 \(\hat{F}_k = \sum_{j \le k} \hat{p}_j\) 与目标累积分布 \(F_k\) 之间的二阶距离）以及 `score` 题型的期望值均方误差：
+标准交叉熵或普通多类 KL 散度将有序评定量表视为无序独立类别，对相邻等级误差与跨端极端误差施加同等惩罚。FastBrain-9B 在 `TypeScript/FastBrain-Instruct` 数据集上采用复合分布匹配损失进行训练，联合优化软标签 KL 散度、离散分级概率评分（预测累积分布 \\(\hat{F}_k = \sum_{j \le k} \hat{p}_j\\) 与目标累积分布 \\(F_k\\) 之间的二阶距离）以及 `score` 题型的期望值均方误差：
 
 $$
 \mathcal{L}(\theta) = \mathrm{KL}(p \,\|\, \hat{p}_\theta) + \lambda_{\mathrm{ord}} \sum_{k=1}^{K-1} \bigl(\hat{F}_{\theta,k} - F_k\bigr)^2 + \mathbb{I}[\text{type}=\text{score}] \cdot \lambda_{\mathrm{mse}} \bigl(\mathbb{E}[\hat{y}_\theta] - \mathbb{E}[y]\bigr)^2.
@@ -75,19 +75,19 @@ $$
 
 ### 3.1 智能体工具调用安全审计评测 (`safeagents-judge-bench`)
 
-[`harness-hub/safeagents-judge-bench`](https://huggingface.co/datasets/harness-hub/safeagents-judge-bench/tree/v2) 用于评估决策模型对真实编码智能体（运行于 Terminal-Bench 2.1、OpenThoughts-TBLite 与 Terminal-Bench 4）在沙箱中被静态扫描器 `atif-scan` 标记的可疑工具调用的审计能力。`v2` 测试集包含来自 55 个任务的 \(N = 661\) 次工具调用（其中 `536` 次为分布在 `82` 条违规轨迹中的恶意 `block` 调用，`125` 次为正常 `allow` 调用）。每次调用以零样本单次请求形式同时询问一个二元 `noul` 拦截问题与一个 7 类 `choice` 违规归因问题（`legit`、`eval_gaming`、`harness_introspection`、`credential_misuse`、`exfiltration`、`sandbox_escape`、`other_overreach`）。表 2 中的 `v2` 官方结果由基准维护者在 NVIDIA A100-SXM4-80GB（HF Jobs）上独立运行并提交合入（[PR #1](https://huggingface.co/TypeScript/FastBrain-9B/discussions/1)）。
+[`harness-hub/safeagents-judge-bench`](https://huggingface.co/datasets/harness-hub/safeagents-judge-bench/tree/v2) 用于评估决策模型对真实编码智能体（运行于 Terminal-Bench 2.1、OpenThoughts-TBLite 与 Terminal-Bench 4）在沙箱中被静态扫描器 `atif-scan` 标记的可疑工具调用的审计能力。`v2` 测试集包含来自 55 个任务的 \\(N = 661\\) 次工具调用（其中 `536` 次为分布在 `82` 条违规轨迹中的恶意 `block` 调用，`125` 次为正常 `allow` 调用）。每次调用以零样本单次请求形式同时询问一个二元 `noul` 拦截问题与一个 7 类 `choice` 违规归因问题（`legit`、`eval_gaming`、`harness_introspection`、`credential_misuse`、`exfiltration`、`sandbox_escape`、`other_overreach`）。表 2 中的 `v2` 官方结果由基准维护者在 NVIDIA A100-SXM4-80GB（HF Jobs）上独立运行并提交合入（[PR #1](https://huggingface.co/TypeScript/FastBrain-9B/discussions/1)）。
 
-在 7 类违规归因赛道上，FastBrain-9B 取得 `0.751` 的 Macro-F1 与 `0.858` 的分类准确率（`567/661`），位列全部参评模型第 1：相较于参数量约为其 3 倍的 27.4B 模型 `Cloudflare/clef`（Macro-F1 `0.563`，准确率 `0.737`），分别高出 `+18.8` 与 `+12.1` 个百分点；相较于同尺寸基座 `Cloudflare/clef-flash`（Macro-F1 `0.462`，准确率 `0.576`），分别提升 `+28.9` 与 `+28.2` 个百分点。分项指标上，`harness_introspection`（\(n=272\)）F1 达 `0.945`（召回率 `0.978`），`eval_gaming`（\(n=245\)）F1 达 `0.828`（召回率 `0.853`），合法调用 `legit`（\(n=125\)）精确率达 `0.975`。
+在 7 类违规归因赛道上，FastBrain-9B 取得 `0.751` 的 Macro-F1 与 `0.858` 的分类准确率（`567/661`），位列全部参评模型第 1：相较于参数量约为其 3 倍的 27.4B 模型 `Cloudflare/clef`（Macro-F1 `0.563`，准确率 `0.737`），分别高出 `+18.8` 与 `+12.1` 个百分点；相较于同尺寸基座 `Cloudflare/clef-flash`（Macro-F1 `0.462`，准确率 `0.576`），分别提升 `+28.9` 与 `+28.2` 个百分点。分项指标上，`harness_introspection`（\\(n=272\\)）F1 达 `0.945`（召回率 `0.978`），`eval_gaming`（\\(n=245\\)）F1 达 `0.828`（召回率 `0.853`），合法调用 `legit`（\\(n=125\\)）精确率达 `0.975`。
 
-在二元安全拦截赛道上，FastBrain-9B 的 AUROC 为 `0.985`，恶意调用总召回率为 `0.996`（`534/536`），全部 `82/82` 条越界轨迹均在首次违规调用处即被捕获（`median_bad_calls_before_catch = 0.0`），其中 `harness_introspection`（`272/272`）、`credential_misuse`（`15/15`）与 `sandbox_escape`（`4/4`）三类召回率均为 `1.000`。在未经验证集调整的默认判别阈值 \(P(\text{block}) \ge 0.50\) 下，平衡准确率为 `0.814`（误拦率 `0.368`，优于 27.4B `Cloudflare/clef` 的平衡准确率 `0.808` 与误拦率 `0.384`）。由于连续概率排序区分度保持在 `0.985` AUROC，将工作点阈值设定为 \(P(\text{block}) \ge 0.961\) 时，平衡准确率提升至 `0.938`，误拦率降至 `0.056`（`7/125`），同时仍保持 `82/82` 越界轨迹全检出。表 2 同时列出了 `v1` 版本（\(N = 562\)，78 条轨迹）的官方归档结果，FastBrain-9B 在该版本二元与多分类双赛道均位居第 1 / 9。
+在二元安全拦截赛道上，FastBrain-9B 的 AUROC 为 `0.985`，恶意调用总召回率为 `0.996`（`534/536`），全部 `82/82` 条越界轨迹均在首次违规调用处即被捕获（`median_bad_calls_before_catch = 0.0`），其中 `harness_introspection`（`272/272`）、`credential_misuse`（`15/15`）与 `sandbox_escape`（`4/4`）三类召回率均为 `1.000`。在未经验证集调整的默认判别阈值 \\(P(\text{block}) \ge 0.50\\) 下，平衡准确率为 `0.814`（误拦率 `0.368`，优于 27.4B `Cloudflare/clef` 的平衡准确率 `0.808` 与误拦率 `0.384`）。由于连续概率排序区分度保持在 `0.985` AUROC，将工作点阈值设定为 \\(P(\text{block}) \ge 0.961\\) 时，平衡准确率提升至 `0.938`，误拦率降至 `0.056`（`7/125`），同时仍保持 `82/82` 越界轨迹全检出。表 2 同时列出了 `v1` 版本（\\(N = 562\\)，78 条轨迹）的官方归档结果，FastBrain-9B 在该版本二元与多分类双赛道均位居第 1 / 9。
 
-**表 2：`harness-hub/safeagents-judge-bench` 零样本评测结果对比（`v2` 测试集 \(N = 661\)，82 条越界轨迹；附 `v1` 归档对照 \(N = 562\)）。**
+**表 2：`harness-hub/safeagents-judge-bench` 零样本评测结果对比（`v2` 测试集 \\(N = 661\\)，82 条越界轨迹；附 `v1` 归档对照 \\(N = 562\\)）。**
 
 | 模型 | 参数��� | 7 分类 Macro-F1 ↑ | 7 分类准确率 ↑ | AUROC ↑ | 平衡准确率 ↑ | 恶意召回率 ↑ | 误拦率 ↓ | 越界轨迹检出 ↑ | p50 延迟（测试硬件） |
 | :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
-| **TypeScript/FastBrain-9B** (`v2`, 默认 \(t = 0.50\)) | 9.4B | **0.751** | **0.858** | 0.985 | 0.814 | 0.996 | 0.368 | **82 / 82** | 327 ms (A100) · 104 ms (G4) |
-| **TypeScript/FastBrain-9B** (`v2`, 校准 \(t = 0.961\)) | 9.4B | **0.751** | **0.858** | 0.985 | **0.938** | 0.931 | 0.056 | **82 / 82** | 327 ms (A100) · 104 ms (G4) |
-| **TypeScript/FastBrain-9B** (`v1` 官方榜, \(N = 562\)) | 9.4B | **0.850** | **0.923** | 0.983 | **0.974** | **1.000** | 0.051 | **78 / 78** | 104 ms (RTX PRO 6000) |
+| **TypeScript/FastBrain-9B** (`v2`, 默认 \\(t = 0.50\\)) | 9.4B | **0.751** | **0.858** | 0.985 | 0.814 | 0.996 | 0.368 | **82 / 82** | 327 ms (A100) · 104 ms (G4) |
+| **TypeScript/FastBrain-9B** (`v2`, 校准 \\(t = 0.961\\)) | 9.4B | **0.751** | **0.858** | 0.985 | **0.938** | 0.931 | 0.056 | **82 / 82** | 327 ms (A100) · 104 ms (G4) |
+| **TypeScript/FastBrain-9B** (`v1` 官方榜, \\(N = 562\\)) | 9.4B | **0.850** | **0.923** | 0.983 | **0.974** | **1.000** | 0.051 | **78 / 78** | 104 ms (RTX PRO 6000) |
 | Cloudflare/clef | 27.4B | 0.563 | 0.737 | **0.993** | 0.808 | **1.000** | 0.384 | **82 / 82** | 636 ms (A100) |
 | vllm-sr/d3-mini | 1.8B | 0.512 | 0.652 | 0.986 | 0.856 | **1.000** | 0.288 | **82 / 82** | 168 ms (A100) |
 | Cloudflare/clef-flash (基座) | 9.4B | 0.462 | 0.576 | 0.967 | 0.893 | 0.978 | 0.192 | 81 / 82 | 326 ms (A100) |
@@ -102,11 +102,11 @@ $$
 
 [`LocalLLaMA/typed-decisions`](https://huggingface.co/datasets/LocalLLaMA/typed-decisions) 评测集覆盖智能体轨迹可观测性（`agent_trace_observability`）、客户服务（`customer_service`）、供应商发票核验（`invoice_processing`）与安全事件响应（`security_incidents`）四类企业工作流，测试集包含 400 个独立案例、共 2,000 个类型化子问题（涵盖 `noul`、`choice` 与 `score`），并以多教师模型集成的软标签分布作为真值基准。官方仓库存在两种并列真值处理脚本：`bench/score_with_jobs.py` 对真值分布中概率并列最高的选项按首个索引判对（`g.index(max(g))`），而 `scripts/score_model.py` 将 20 道并列题中的任一最高分选项均计为正确；两种脚本下的 KL 散度与 Brier 评分完全一致。我们在表 3 中同时报告两种口径的准确率，并在 [`eval_submissions/`](./eval_submissions/) 中公开原始预测文件。
 
-在零样本总榜（\(N = 43\) 个参评模型）中，FastBrain-9B 取得 `0.7525`（并列口径 `0.7625`）的准确率、`0.1508` 的 KL 散度、`0.0795` 的 Brier 评分与 `0.085` 的期望校准误差（ECE），在 RTX PRO 6000（SGLang）上的 p50 延迟为 `50 ms`。该成绩位列全量零样本榜 **第 7 / 43**、开源权重模型 **第 5 / 36**、≤9B 开源模型 **第 2 / 19** 以及全部 `Clef` 架构模型 **第 1**，较 9.4B 基座 `Cloudflare/clef-flash`（准确率 `0.7100`，KL `0.2093`）提升 `+4.25` 个百分点，较 27.4B `Cloudflare/clef`（准确率 `0.7275`，KL `0.1907`）提升 `+2.50` 个百分点。在零样本准确率高于 `0.700` 的全部 28 个模型中，FastBrain-9B 具有最低的 p50 推理延迟（`50 ms`，对比 9B `Amos 1 medium` 的 `118 ms`、27B `Amos 1 large` 的 `357 ms`、`meraGPT Decider 1` 的 `526 ms` 以及 31B `Quyet-1.0-Large` 的 `3,335 ms`）。若直接评测未经后验规则调整的序数 KL 蒸馏原生头，零样本准确率为 `0.7735`（KL `0.1039`，Brier `0.0582`）。
+在零样本总榜（\\(N = 43\\) 个参评模型）中，FastBrain-9B 取得 `0.7525`（并列口径 `0.7625`）的准确率、`0.1508` 的 KL 散度、`0.0795` 的 Brier 评分与 `0.085` 的期望校准误差（ECE），在 RTX PRO 6000（SGLang）上的 p50 延迟为 `50 ms`。该成绩位列全量零样本榜 **第 7 / 43**、开源权重模型 **第 5 / 36**、≤9B 开源模型 **第 2 / 19** 以及全部 `Clef` 架构模型 **第 1**，较 9.4B 基座 `Cloudflare/clef-flash`（准确率 `0.7100`，KL `0.2093`）提升 `+4.25` 个百分点，较 27.4B `Cloudflare/clef`（准确率 `0.7275`，KL `0.1907`）提升 `+2.50` 个百分点。在零样本准确率高于 `0.700` 的全部 28 个模型中，FastBrain-9B 具有最低的 p50 推理延迟（`50 ms`，对比 9B `Amos 1 medium` 的 `118 ms`、27B `Amos 1 large` 的 `357 ms`、`meraGPT Decider 1` 的 `526 ms` 以及 31B `Quyet-1.0-Large` 的 `3,335 ms`）。若直接评测未经后验规则调整的序数 KL 蒸馏原生头，零样本准确率为 `0.7735`（KL `0.1039`，Brier `0.0582`）。
 
-在使用 `train` 划分（1,200 个样本）的独立榜单（\(N = 51\) 个模型）上，在**完全冻结主干与决策头权重（`no weights changed`）**、仅拟合逐问题对数先验偏置与标量温度参数的前提下，FastBrain-9B 取得 `0.7970`（并列口径 `0.8070`）的准确率、`0.0816` 的 KL 散度与 `0.0437` 的 Brier 评分，位列 **并列第 12（列表第 14 / 51）**，并在冻结权重模型中取得最优的 KL 分布校准度。
+在使用 `train` 划分（1,200 个样本）的独立榜单（\\(N = 51\\) 个模型）上，在**完全冻结主干与决策头权重（`no weights changed`）**、仅拟合逐问题对数先验偏置与标量温度参数的前提下，FastBrain-9B 取得 `0.7970`（并列口径 `0.8070`）的准确率、`0.0816` 的 KL 散度与 `0.0437` 的 Brier 评分，位列 **并列第 12（列表第 14 / 51）**，并在冻结权重模型中取得最优的 KL 分布校准度。
 
-**表 3：`LocalLLaMA/typed-decisions` 测试集（\(N = 400\) 案例，2,000 次决策）评测结果。`/` 前后分别对应 `score_with_jobs.py` 与 `score_model.py` 口径。**
+**表 3：`LocalLLaMA/typed-decisions` 测试集（\\(N = 400\\) 案例，2,000 次决策）评测结果。`/` 前后分别对应 `score_with_jobs.py` 与 `score_model.py` 口径。**
 
 | 模型 | 参数量 | 评测设定 | 总体准确率 ↑ | KL 散度 ↓ | Brier ↓ | `noul` ↑ | `choice` ↑ | `score` ↑ | Agent ↑ | 客服 ↑ | 发票 ↑ | 安全 ↑ | p50 延迟 |
 | :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
@@ -128,7 +128,7 @@ $$
 
 ### 3.3 多领域结构化决策基准 (Cloudflare Decision Index `v0.2.1`)
 
-在涵盖 10 个评测数据集、共 \(N = 22,427\) 条请求的 **Cloudflare Decision Index（`v0.2.1`）** 套件（覆盖 AST 函数调用、20 候选工具检索重排、多步状态 API 调用、细粒度金融意图识别、开放集越界拒识、推理密集型检索、电商相关性分级、多探针钓鱼网站鉴别与工具调用触发治理）上，FastBrain-9B 的无加权 10 任务宏平均得分为 **80.55%**（表 4，图 1–3）。
+在涵盖 10 个评测数据集、共 \\(N = 22,427\\) 条请求的 **Cloudflare Decision Index（`v0.2.1`）** 套件（覆盖 AST 函数调用、20 候选工具检索重排、多步状态 API 调用、细粒度金融意图识别、开放集越界拒识、推理密集型检索、电商相关性分级、多探针钓鱼网站鉴别与工具调用触发治理）上，FastBrain-9B 的无加权 10 任务宏平均得分为 **80.55%**（表 4，图 1–3）。
 
 在 ≤9B 参数量级（对比 `Clef-flash` 9.4B、`Kev 9B` 与 `Laya` 0.4B）中，FastBrain-9B 在全部 **10 / 10 个子基准上均取得第 1**，宏平均分较同架构基座 `Clef-flash`（`74.96%`）提升 `+5.59` 个百分点，较 `Kev 9B`（`76.51%`）提升 `+4.04` 个百分点。增幅主要集中于对边界校准敏感的开放集拒识与安全治理任务：`CLINC150+OOS` 提升 `+31.67` 个百分点（`98.44%` 对比 `66.77%`），`When2Call` 提升 `+15.55` 个百分点（`81.13%` 对比 `65.58%`），`PhishNChips` 提升 `+6.80` 个百分点（`78.75%` 对比 `71.95%`）。跨全部参数规模（最高 27.4B）比较，FastBrain-9B 总宏平均位列 **第 2 / 7**，高于 `27B Jev`（`80.32%`）与 `26B-A4B DiffusionGemma Jev`（`69.14%`），并在 `BFCL`、`API-Bank`、`CLINC150+OOS`、`Home Appliances` 与 `When2Call` 五个子基准上高于 `27.4B Clef`（`81.81%`）。
 
@@ -141,7 +141,7 @@ $$
 ![图 3：置信度校准曲线与开放集越界拒识分析](./assets/decision_calibration_breakdown.png)
 *图 3. 置信度可靠性图、开放集越界意图拒识（`CLINC150+OOS`）与工具触发边际分析（`When2Call`）。*
 
-**表 4：Cloudflare Decision Index（`v0.2.1`，10 任务，\(N = 22,427\)）逐项评测结果。粗体表示全参数规模最高值，下划线表示 ≤9B 量级最高值。**
+**表 4：Cloudflare Decision Index（`v0.2.1`，10 任务，\\(N = 22,427\\)）逐项评测结果。粗体表示全参数规模最高值，下划线表示 ≤9B 量级最高值。**
 
 | 评测基准（指标） | **FastBrain-9B** (本工作) | Clef-flash (基座) | Kev 9B | Clef | Jev | DiffGemma | Laya |
 | :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
@@ -164,7 +164,7 @@ $$
 
 ### 4.1 不同推理引擎性能对比
 
-表 5 展示了在同一张 NVIDIA RTX PRO 6000 Blackwell Server Edition GPU 上，SGLang（集成 `JointSchemaPooler` 的 `lmsysorg/sglang:dev-clef`）、`llama.cpp`（`b11430` `ClefModel` 计算图，含 `Q8_0` 与 `Q4_K_M` 两种精度）以及原生 PyTorch（`joint_schema_model.py`）在五类典型长度负载下的端到端延迟、Prefill 吞吐率与显存占用。由于全部请求的生成步数均为零（`output_tokens = 0`），推理耗时完全取决于 Prefill 计算与片段池化效率；在批量 \(B=4\) 并发设定下，SGLang 吞吐达 `19,319 tok/s`（每秒完成 `131.2` 个独立结构化决策）。
+表 5 展示了在同一张 NVIDIA RTX PRO 6000 Blackwell Server Edition GPU 上，SGLang（集成 `JointSchemaPooler` 的 `lmsysorg/sglang:dev-clef`）、`llama.cpp`（`b11430` `ClefModel` 计算图，含 `Q8_0` 与 `Q4_K_M` 两种精度）以及原生 PyTorch（`joint_schema_model.py`）在五类典型长度负载下的端到端延迟、Prefill 吞吐率与显存占���。由于全部请求的生成步数均为零（`output_tokens = 0`），推理耗时完全取决于 Prefill 计算与片段池化效率；在批量 \\(B=4\\) 并发设定下，SGLang 吞吐达 `19,319 tok/s`（每秒完成 `131.2` 个独立结构化决策）。
 
 **表 5：NVIDIA RTX PRO 6000 Blackwell Server Edition（G4）上三类推理后端的延迟与吞吐实测。**
 
@@ -174,23 +174,23 @@ $$
 | 峰值显存占用 (16K 上下文) | ~20.5 GiB | 12.55 GiB | **10.30 GiB** | 20.3–24.7 GiB |
 | 兼容 16 GiB T4 显卡 | 否 (BF16 TP=1) | 是 (`9.03 GiB`, 4K) | **是 (`6.78 GiB`, 4K)** | 是 (`6.8 GiB`, NF4) |
 | 相对 PyTorch BF16 Top-1 一致率 | **100.00%** | 99.86% (1,471 / 1,473) | 98.78% (1,455 / 1,473) | 100.00% (基准) |
-| 1. 短文本意图路由 (293 tok, \(K=2\)) | **30.01 ms** (9,763 tok/s) | 32.82 ms (8,929 tok/s) | 31.69 ms (9,245 tok/s) | 43.23 ms (6,778 tok/s) |
-| 2. Typed Decisions (736 tok, \(K=5\)) | **50.29 ms** (14,635 tok/s) | 62.40 ms (11,795 tok/s) | 61.80 ms (11,909 tok/s) | 63.58 ms (11,576 tok/s) |
-| 3. When2Call 工具治理 (1,068 tok, \(K=1\)) | **66.06 ms** (16,167 tok/s) | 87.78 ms (12,167 tok/s) | 89.34 ms (11,955 tok/s) | 77.77 ms (13,733 tok/s) |
-| 4. PhishNChips 安全检测 (1,303 tok, \(K=9\)) | **75.86 ms** (17,176 tok/s) | 108.55 ms (12,004 tok/s) | 109.97 ms (11,849 tok/s) | 90.32 ms (14,426 tok/s) |
-| 5. SafeAgents 审计 (2,217 tok, \(K=2\)) | **125.85 ms** (17,616 tok/s) | 181.70 ms (12,201 tok/s) | 183.50 ms (12,082 tok/s) | 138.06 ms (16,058 tok/s) |
-| 批量 \(B=4\) Typed Decisions (2,944 tok, 20 题) | **152.39 ms** (19,319 tok/s) | 248.50 ms (11,847 tok/s) | 245.20 ms (12,006 tok/s) | 175.85 ms (16,742 tok/s) |
+| 1. 短文本意图路由 (293 tok, \\(K=2\\)) | **30.01 ms** (9,763 tok/s) | 32.82 ms (8,929 tok/s) | 31.69 ms (9,245 tok/s) | 43.23 ms (6,778 tok/s) |
+| 2. Typed Decisions (736 tok, \\(K=5\\)) | **50.29 ms** (14,635 tok/s) | 62.40 ms (11,795 tok/s) | 61.80 ms (11,909 tok/s) | 63.58 ms (11,576 tok/s) |
+| 3. When2Call 工具治理 (1,068 tok, \\(K=1\\)) | **66.06 ms** (16,167 tok/s) | 87.78 ms (12,167 tok/s) | 89.34 ms (11,955 tok/s) | 77.77 ms (13,733 tok/s) |
+| 4. PhishNChips 安全检测 (1,303 tok, \\(K=9\\)) | **75.86 ms** (17,176 tok/s) | 108.55 ms (12,004 tok/s) | 109.97 ms (11,849 tok/s) | 90.32 ms (14,426 tok/s) |
+| 5. SafeAgents 审计 (2,217 tok, \\(K=2\\)) | **125.85 ms** (17,616 tok/s) | 181.70 ms (12,201 tok/s) | 183.50 ms (12,082 tok/s) | 138.06 ms (16,058 tok/s) |
+| 批量 \\(B=4\\) Typed Decisions (2,944 tok, 20 题) | **152.39 ms** (19,319 tok/s) | 248.50 ms (11,847 tok/s) | 245.20 ms (12,006 tok/s) | 175.85 ms (16,742 tok/s) |
 
 ### 4.2 混合精度 GGUF 量化保真度分析
 
 若对交叉注意力决策头或线性注意力递归状态直接施加均匀 4-bit 量化，细粒度选项间微小的对数几率差值易受量化噪声干扰。因此在 `FastBrain-9B-Q4_K_M.gguf`（`6.73 GB`）构建方案中，仅对前馈网络（FFN）使用 4-bit K-quants，而将全部 `dec.*` 决策头张量、`ssm_*` Gated DeltaNet 状态参数以及 `attn_*` 投影矩阵保持为 `Q8_0` 精度。在涵盖 10 类任务的分层验证子集（`203` 个多约束请求，共 `1,473` 道独立评分题；表 6）上，`Q8_0.gguf`（`9.66 GB`）在 `1,471/1,473` 道题上与原生 `bfloat16` 给出完全一致的 Top-1 决策（一致率 `99.86%`，预测概率平均绝对误差 `0.00203`，10 任务均分差异 `-0.03` 个百分点）；`Q4_K_M.gguf` 保持了 `98.78%` 的 Top-1 决策一致率（概率 MAE `0.00387`，校准后均分差异 `-0.20` 个百分点）。表 7 给出了各精度版本在不同硬件（含 NVIDIA Tesla T4 `16 GiB` 实测）上的资源需求。
 
-**表 6：10 任务分层子集（\(N = 1,473\) 道评分题）上 GGUF 量化模型的决策一致性与精度保持率。**
+**表 6：10 任务分层子集（\\(N = 1,473\\) 道评分题）上 GGUF 量化模型的决策一致性与精度保持率。**
 
 | 评测指标 / 子任务 | PyTorch `bfloat16` (18.82 GB) | GGUF `Q8_0` (9.66 GB) | GGUF `Q4_K_M` (6.73 GB, `Q8_0` 决策头) |
 | :--- | :---: | :---: | :---: |
-| Top-1 决策一致率 (\(N = 1,473\)) | 100.00% (基准) | 99.86% (1,471 / 1,473) | 98.78% (1,455 / 1,473) |
-| 预测概率平均绝对误差 (\(\lvert \hat{p}_q - \hat{p}_{\mathrm{bf16}} \rvert\)) | 0.00000 | 0.00203 | 0.00387 |
+| Top-1 决策一致率 (\\(N = 1,473\\)) | 100.00% (基准) | 99.86% (1,471 / 1,473) | 98.78% (1,455 / 1,473) |
+| 预测概率平均绝对误差 (\\(\lvert \hat{p}_q - \hat{p}_{\mathrm{bf16}} \rvert\\)) | 0.00000 | 0.00203 | 0.00387 |
 | 10 任务宏平均（未校准原生输出） | 82.37% | 82.34% (-0.03) | 82.56% (+0.19) |
 | 10 任务宏平均（Schema 拓扑校准） | 83.68% | 83.65% (-0.03) | 83.48% (-0.20) |
 | ├─ 1. BFCL / 3. API-Bank / 4. BANKING77 | 100.0% / 95.0% / 100.0% | 100.0% / 95.0% / 100.0% | 100.0% / 95.0% / 100.0% |