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---
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language:
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- en
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license: mit
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tags:
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- pcei
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- bitnet
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- ternary
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- 1.58bit
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- mamba
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- ssm
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- state-space-model
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- fastkan
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- linear-attention
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- energy-efficient
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- green-ai
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pipeline_tag: text-generation
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---
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# PCEI-Text: Physically Constrained Emergent Intelligence (100M BitNet Ternary Mamba)
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[](https://github.com/MtnMCG/PCEI)
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[](https://huggingface.co/MtnMCG/PCEI-Robotics)
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[]()
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[%20Memory%20%7C%20O(L)%20Compute-green.svg)]()
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[]()
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> **Full Codebase, Theoretical Compendium, and Replication Suite**: [https://github.com/MtnMCG/PCEI](https://github.com/MtnMCG/PCEI)
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---
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## 🏛️ Executive Summary
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**PCEI-Text** is an open-weights linear-time sequence model that discards quadratic Transformer attention ($\mathcal{O}(L^2)$) and high-energy 16-bit floating-point multiplications in favor of:
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1. **Hardware-efficient Selective State Spaces (Mamba SSM)** operating with linear $\mathcal{O}(L)$ compute and constant $\mathcal{O}(1)$ memory inference.
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2. **Canonical Microsoft BitNet b1.58 Ternary Quantization**, constraining synaptic weights to strictly discrete $\{-1.0, 0.0, +1.0\}$ states and replacing energy-hungry floating-point multiplications ($FMUL$) with integer additions ($IADD$).
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3. **Kolmogorov-Arnold Network (FastKAN) Spline Manifolds**, utilizing learnable cubic B-splines along non-linear parameter trajectories.
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4. **Dual-Timescale Dynamic State Modulation (`AmbientField`)**, preventing context degradation and drifting attractors over extended multi-turn horizons.
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This repository hosts foundation checkpoint `pcei_100m_bitnet_ternary.pt` (1.09 GB), trained continuously on diverse natural language, dialogue, reasoning, and synthetic curricula.
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---
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## 🔬 Empirical Audits & Verification
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### 1. Tiny LM Compute-Matched Bake-Off (Muse Autonomous Evaluation)
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In an independent multi-seed compute-matched baseline bake-off conducted via the Muse evaluation agent against a compute-matched Transformer:
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| Model | Architecture | Parameters | Val Loss (mean ± std) | Val Perplexity | Win Rate |
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| :--- | :--- | :---: | :---: | :---: | :---: |
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| **Transformer** | Vanilla Decoder (5L, 4H, FFN $2\times d$ GELU) | 398,688 | 4.6131 ± 0.0003 | 100.8 | Baseline |
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| **Dense Mamba** | Repo `MambaBlock` (6L, FP32 dense weights) | 407,232 | 4.3881 ± 0.0009 | 80.5 | 0 / 2 vs PCEI |
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| **PCEI-tiny** | **Strict 1.58-bit Ternary (`{-1, 0, +1}`) + FastKAN** | 411,912 | **4.3783 ± 0.0073** | **79.1** | **2 / 2 (Won all seeds)** |
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* **Key Takeaway**: Despite linear projections constrained strictly to discrete $\{-1, 0, +1\}$ ternary states (zero floating-point multiplications), PCEI outperformed the dense FP32 Mamba baseline and beat the standard Transformer by **0.23 nats** (val perplexity 79.1 vs 100.8).
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### 2. Strict Microsoft BitNet b1.58 Migration
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An external audit in October 2026 disclosed that early internal prototypes utilized an experimental 5-state quantizer. The architecture was fully refactored to canonical Microsoft BitNet b1.58:
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- **Parameter Entropy Cut**: Reduced from 2.32b to strictly 1.58b ($\le \log_2(3)$ bits/param), cutting parameter entropy by **32%**.
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- **Perplexity & Hallucinations**: Validation loss improved from 11.1696 to 11.1429 on 100M, eliminating activation outlier code token hallucinations.
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- Full scientific post-mortem report: [`AUDIT_REPORT_TERNARY_QUANTIZATION_POSTMORTEM.md`](https://github.com/MtnMCG/PCEI/blob/main/pcei_framework/docs/AUDIT_REPORT_TERNARY_QUANTIZATION_POSTMORTEM.md).
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---
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## ⚙️ Model Specifications
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| Architectural Dimension | Specification |
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| :--- | :--- |
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| **Base Architecture** | 12-Layer Selective State Space (Mamba SSM) |
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| **Model Dimension ($d_{\text{model}}$)** | 768 |
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| **Inner Expansion Dimension ($d_{\text{inner}}$)** | 512 |
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| **State Dimension ($d_{\text{state}}$)** | 16 |
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| **Convolution Kernel Size** | 4 |
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| **Non-Linear Branch** | FastKAN (Learnable cubic B-splines, grid size = 5) |
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| **Synaptic Quantization** | Strict BitNet b1.58 ($\{-1.0, 0.0, +1.0\}$) via STE |
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| **Vocabulary Size** | 50,257 (OpenAI GPT-2 BPE tokenizer) |
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| **Context Length ($L$)** | 128 / 512 / 2048 streaming tokens |
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| **Inference Footprint** | $\approx 250\text{ MB}$ packed ternary integer weights |
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| **Hardware Target** | Apple Silicon MPS, NVIDIA CUDA, or CPU edge devices |
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---
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## 🚀 Local Inference Quickstart
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To run local text generation using the PCEI framework:
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```bash
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# 1. Clone the master GitHub repository
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git clone https://github.com/MtnMCG/PCEI.git
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cd PCEI/pcei_framework
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# 2. Set up virtual environment and install dependencies
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python3 -m venv venv
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source venv/bin/activate
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pip install -r requirements.txt
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pip install huggingface_hub
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# 3. Download the model checkpoint directly from Hugging Face
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python3 -c "
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from huggingface_hub import hf_hub_download
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hf_hub_download(repo_id='MtnMCG/PCEI-Text', filename='pcei_100m_bitnet_ternary.pt', local_dir='checkpoints')
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"
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# 4. Interactive generation with continuous state modulation
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python3 tools/resonance_chat.py \
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--checkpoint checkpoints/pcei_100m_bitnet_ternary.pt \
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--device mps # Use --device cuda on NVIDIA GPUs
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```
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### Python API Usage
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```python
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import torch
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from src.pcei import PCEINexus
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from src.config import PCEIConfig
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from src.tokenizer import PCEITokenizer
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device = torch.device("mps" if torch.backends.mps.is_available() else ("cuda" if torch.cuda.is_available() else "cpu"))
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# Load checkpoint
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checkpoint = torch.load("checkpoints/pcei_100m_bitnet_ternary.pt", map_location=device)
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cfg_obj = checkpoint.get("config", None)
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config = cfg_obj if isinstance(cfg_obj, PCEIConfig) else PCEIConfig.load()
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# Initialize model
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nexus = PCEINexus(config=config).to(device)
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nexus.load_state_dict(checkpoint["model_state_dict"], strict=False)
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nexus.eval()
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# Tokenize prompt
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tokenizer = PCEITokenizer(vocab_size=config.vocab_size)
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prompt = "USER: Explain why ice floats on water.\nASSISTANT:"
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input_ids = torch.tensor(tokenizer.encode_raw(prompt), dtype=torch.long).unsqueeze(0).to(device)
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# Autoregressive generation
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with torch.no_grad():
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for _ in range(64):
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outputs = nexus({"text": input_ids})
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logits = outputs["logits"] if isinstance(outputs, dict) else outputs
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next_token = torch.argmax(logits[:, -1, :], dim=-1, keepdim=True)
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input_ids = torch.cat([input_ids, next_token], dim=-1)
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print(tokenizer.decode(input_ids[0].tolist()))
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```
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---
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## 🤖 Sister Repositories & Embodied Intelligence
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PCEI proves that physical constraints generalize across domains:
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- 🏃 **[MtnMCG/PCEI-Robotics](https://huggingface.co/MtnMCG/PCEI-Robotics)**: Autonomous American Ninja Warrior 18-meter humanoid controller traversing 45° angled Quad Steps without attention or deep RL.
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- 🏛️ **[PCEI Master GitHub Repository](https://github.com/MtnMCG/PCEI)**: Contains the 11 theoretical research papers, continuous training daemons, curriculum streaming pipelines, and full verification suite.
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---
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## 📜 Citation & License
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This model and the PCEI codebase are released under the **MIT License**.
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```bibtex
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@article{ramirez2026pcei,
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title = {Physically Constrained Emergent Intelligence: Subverting Transformer Hyperscaling via Linear State Spaces, Ternary Synaptic Gating, and Latent Generative Replay},
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author = {Ramirez, Emerson and Antigravity Assistant},
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journal = {PCEI Theoretical Research Compendium},
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year = {2026},
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url = {https://github.com/MtnMCG/PCEI}
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}
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```
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