| ---
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| license: mit
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| language:
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| - en
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| library_name: cflow
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| tags:
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| - moe
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| - cpu-inference
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| - rust
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| - custom-architecture
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| - pipeline-native
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| - avx-512
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| datasets:
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| - roneneldan/TinyStories
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| - HuggingFaceFW/fineweb-edu
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| pipeline_tag: text-generation
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| model-index:
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| - name: arch2_4_combined
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| results:
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| - task:
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| type: text-generation
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| dataset:
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| name: TinyStories
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| type: roneneldan/TinyStories
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| metrics:
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| - name: Test Perplexity (114M, 10K steps)
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| type: perplexity
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| value: 6.50
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| - name: Top-1 Accuracy (114M, 10K steps)
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| type: accuracy
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| value: 56.8
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| - name: Val Perplexity (8.34B / 4-layer, 10K steps)
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| type: perplexity
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| value: 4.52
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| - name: Top-1 Accuracy (8.34B / 4-layer, 10K steps)
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| type: accuracy
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| value: 61.4
|
| ---
|
|
|
| # arch2_4_combined — Pipeline-Native MoE for CPU Inference
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|
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| A custom decoder-only transformer with delayed dense FFN + delayed MoE experts,
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| designed so its inter-layer dependency graph permits vertical pipelining on CPU.
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| Part of the **cflow** project — a CPU-first streaming inference engine written in
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| Rust.
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|
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| > **Hosted weights:** this repository hosts `model.cflow` (17.39 GB) — the
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| > **arch2_4_8k_16l** model: 16 layers, hidden 8192, **~31B parameters**
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| > (top-2-of-8 MoE, ~20B active/token), Q4. This is the model benchmarked at
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| > 5.94 tok/s below. The **8.34B** figures in this card refer to a *smaller
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| > 4-layer scale point* (`arch2_4_8k_4l`) used for quality and cache-locality
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| > validation (val ppl 4.52); that checkpoint is not hosted here.
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|
|
| ## Key Results
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|
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| | Metric | Value |
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| |---|---|
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| | CPU decode throughput (~31B / 16-layer, Q4, 32 threads) | **5.94 tok/s** |
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| | Effective memory bandwidth | 61 GB/s (30% of 204.8 GB/s peak) |
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| | Bandwidth reduction from pipelining | **2.00x** (9.00 → 4.50 MB/token) |
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| | Test perplexity (114M, TinyStories, 10K steps) | 6.50 |
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| | Val perplexity (8.34B / 4-layer, TinyStories, 10K steps) | 4.52 |
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|
|
| ### CPU Decode Benchmark (AWS r6i.8xlarge, Ice Lake Xeon, 256 GB DDR4)
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| | Engine | Model | Quant | tok/s |
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| |---|---|---|---|
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| | **cflow** | arch2_4_8k_16l (~31B MoE, ~20B active) | Q4 | **5.94** |
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| | Ollama (llama.cpp) | Qwen2.5-32B (32B dense) | Q4 GGUF | 4.75 |
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| | vLLM CPU | Qwen2.5-32B-Instruct (32B dense) | GPTQ-Int4 | 1.65 |
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|
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| > **Note:** cflow and the baselines run different models — cflow's ~31B MoE has
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| > ~20B active params per token vs 32B dense. The total parameter counts are
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| > comparable (31B vs 32B), but the architectures and training differ, so the
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| > cflow number shows what a co-designed architecture + streaming runtime achieves,
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| > not a quality-matched result.
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|
|
| ## Model Description
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|
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| **arch2_4_combined** is a pre-norm decoder-only transformer with a parallel dense
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| FFN + sparse MoE block per layer, using delayed residual injection:
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|
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| - The **dense FFN** reads from a delayed residual (1 layer behind)
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| - The **MoE experts** are routed on the current residual but injected 2 layers later
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| - This creates a dependency DAG where dense and expert weight reads for layer N
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| can overlap with compute for layer N-1, reducing critical-path memory bandwidth
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|
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| The architecture was selected from a screen of 5 pipeline-native candidates. It
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| is the only design that achieves a measured bandwidth reduction (2.00x) while
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| maintaining competitive perplexity.
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|
|
| ### Architecture Details
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|
|
| | Parameter | 114M (screening) | ~31B (16-layer, hosted) |
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| |---|---|---|
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| | Hidden dim | 512 | 8,192 |
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| | Layers | 6 | 16 |
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| | Attention heads | 8 | 128 |
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| | Head dim | 64 | 64 |
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| | Dense FFN hidden | 2,048 | 32,768 |
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| | Expert FFN hidden | 512 | 4,096 |
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| | Experts / top-k | 8 / 2 | 8 / 2 |
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| | Dense delay | 1 | 1 |
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| | Expert delay | 2 | 2 |
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| | Vocab | 50,257 (GPT-2 BPE) | 50,257 (GPT-2 BPE) |
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| | Max seq len | 512 | 2,048 |
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|
|
| ### Per-Layer Forward Pass
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|
|
| ```
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| attn_out = attention(attn_norm(x))
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| x = x + attn_out # residual connection
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| x = x + dense_ffn(ffn_norm(delayed_x)) # dense reads DELAYED residual
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| if queued_expert: x = x + queued_expert # inject expert from 2 layers ago
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| expert_out = moe(ffn_norm(x)) # router sees CURRENT residual
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| # expert_out queued for injection at layer + expert_delay
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| ```
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|
|
| ### Components
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|
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| - **Attention:** Multi-head (not GQA), Q/K/V/O projections (no bias), standard
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| RoPE (base=10000, half-interleave), causal masking, KV cache
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| - **Dense FFN:** GeGLU — `down(gelu(gate(x)) * up(x))`
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| - **MoE:** Linear router → top-k selection → softmax over selected → per-expert
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| GeGLU FFN → weighted sum. No auxiliary/load-balancing loss.
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| - **Normalization:** RMSNorm (eps=1e-6) at attn input, FFN input, and pre-lm_head
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| - **Combine style:** `DelayedSum` — dense and router share `ffn_norm` but read
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| different residual snapshots
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|
|
| ## Training
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|
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| ### 114M Screening (5 architectures)
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|
|
| | | |
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| |---|---|
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| | Dataset | TinyStories (431M train tokens, 24M test tokens) |
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| | Tokenizer | GPT-2 BPE (50,257 vocab) |
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| | Sequence length | 512 |
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| | Optimizer | AdamW (betas=0.9/0.95, eps=1e-8, weight_decay=0.1) |
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| | Learning rate | 3e-4 with linear warmup (200 steps) + cosine decay to 1e-5 |
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| | Gradient clipping | Global norm 1.0 |
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| | Batch size | 8 |
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| | Steps | 10,000 |
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| | Precision | float32 |
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| | Hardware | RTX 3060 12 GB |
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|
|
| ### 8.34B Scale-Up (4-layer — quality & cache validation)
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|
|
| This is the smaller scale point: `arch2_4_8k_4l`, 4 layers, 8.34B params. It
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| provides the quality numbers (val ppl 4.52, top-1 61.4%) and the PMU cache-locality
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| result. The hosted decode-benchmark model (`arch2_4_8k_16l`, ~31B) shares this
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| per-layer geometry but has 16 layers.
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|
|
| | | |
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| |---|---|
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| | Dataset | TinyStories (same splits) |
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| | Optimizer | 8-bit AdamW (bitsandbytes) |
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| | Learning rate | 1e-4 with linear warmup (500 steps) + cosine decay to 1e-6 |
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| | Batch size | 4 per GPU (global 32) |
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| | Steps | 10,000 |
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| | Precision | bf16 |
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| | Parallelism | FSDP (FULL_SHARD / ZeRO-3) |
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| | Gradient checkpointing | Per `DelayedMoELayer`, non-reentrant |
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| | Hardware | 8x A100 SXM4 80 GB (Lambda Cloud) |
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|
|
| ### Architecture Comparison (114M, TinyStories, 10K steps)
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|
|
| | Architecture | dense_delay | expert_delay | Test PPL | Top-1 Acc | BW Reduction |
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| |---|---|---|---|---|---|
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| | arch1_decoupled_streams | 0 | 0 | 7.21 | 54.9% | 1.00x |
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| | **arch2_4_combined** | **1** | **2** | **6.50** | **56.8%** | **2.00x** |
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| | arch3_pipeline_registers | 0 | 0 | 7.24 | 55.1% | 1.00x |
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| | arch4_async_experts | 0 | 2 | **6.26** | **57.6%** | 1.00x |
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| | arch5_fixed_point | 0 | 0 | 6.77 | 56.2% | 1.00x |
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|
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| **Key insight:** Dense delay is the bandwidth knob; expert delay is the quality
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| knob. arch4_async_experts gets the best perplexity by routing off pre-dense
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| activations (cleaner router signal) but sacrifices the bandwidth win that
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| arch2_4 achieves by also delaying the dense read.
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|
|
| ## Inference with cflow
|
|
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| cflow is a Rust inference engine that reads `.cflow` (per-layer streaming) or
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| `.vflow` (vertical pipeline) weight files. Weights are stored as pre-tiled Q4
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| (128x256 tiles, ~18 KB each, sized to fit L2 cache).
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|
|
| ```bash
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| # Build
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| cargo build --release --bin cflow-run
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|
|
| # Convert safetensors → .cflow
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| cargo run --release --bin cflow-convert -- \
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| --input checkpoint.safetensors \
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| --output model.cflow \
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| --model arch2_4
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|
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| # Run inference
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| CFLOW_THREADS=32 ./target/release/cflow-run \
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| model.cflow 32 \
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| --prompt "Once upon a time" \
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| --tokenizer tokenizer.json \
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| --temperature 0.8
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| ```
|
|
|
| ### SIMD Support
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|
|
| The runtime auto-detects and dispatches to the best available instruction set:
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|
|
| | ISA | Kernel | Notes |
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| |---|---|---|
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| | AVX-512 + VNNI | Q4×Q8 `vpdpbusd` | Best path (Ice Lake+) |
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| | AVX-512F | Q4×f32 FMA | Skylake-X+ |
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| | AVX2 + FMA | Q4×f32 FMA | Haswell+ |
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| | AVX + SSE4.1 | Q4×f32 | Sandy Bridge+ |
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| | Scalar | Q4×f32 | Fallback |
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|
|
| ## Limitations
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|
|
| - **Not a general-purpose LLM.** Trained on TinyStories / FineWeb-Edu subsets at
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| 10K steps — this is an architecture and runtime research artifact, not a
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| production language model.
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| - **Custom architecture.** Cannot be loaded in Hugging Face Transformers, vLLM,
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| or llama.cpp without adaptation. Requires the cflow Rust runtime or the
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| PyTorch reference in `pipeline_native/`.
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| - **CPU-only.** The runtime targets x86-64 CPUs with AVX2 or AVX-512. No GPU
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| backend.
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| - **Single-token decode optimized.** Batch/prefill throughput is not the focus.
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|
|
| ## Thesis Scorecard
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|
|
| The cflow project tests 8 claims about CPU inference optimization:
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|
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| | # | Claim | Result |
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| |---|---|---|
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| | 1 | Conditional expert reading (top-k only) | **Proven** |
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| | 2 | Tile-streaming L1/L2 cache locality | **Proven** (7.29x fewer L1-d misses, PMU-measured) |
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| | 3 | AVX2/AVX-512 Q4 SIMD kernels | **Proven** |
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| | 4 | Fused QKV and gate+up projections | **Proven** |
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| | 5 | Compute-order file layout | **Proven** |
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| | 6 | Software prefetch (`_mm_prefetch`) | **Refuted** (no benefit; slightly harmful) |
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| | 7 | Vertical pipeline via delayed dependencies | **Validated** (2.00x bandwidth reduction) |
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| | 8 | Stage-major disk layout readahead | **Inconclusive** (no isolated benefit; test confounded) |
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|
|
| ## Citation
|
|
|
| ```bibtex
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| @software{poperszky2026cflow,
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| author = {Poperszky, Tom},
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| title = {cflow: CPU-First Streaming Inference for Pipeline-Native Transformers},
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| year = {2026}
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| }
|
| ```
|
|
|
| ## License
|
|
|
| MIT
|
|
|