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| <a class="skip" href="#main">Skip to models</a> |
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| <a class="brand" href="https://huggingface.co/MonumentalSystems" target="_blank" rel="noopener noreferrer">MONUMENTAL SYSTEMS</a> |
| <nav aria-label="Main navigation"><a href="#models">Models</a><a href="#experiments">Experiments</a><a href="#archives">Archives</a></nav> |
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| <section class="hero" aria-labelledby="hero-title"> |
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| <div class="eyebrow">Harmonic GPT · Architecture research</div> |
| <h1 id="hero-title">Language models<br>built from geometry.</h1> |
| <p class="lede">Spectral recurrence. Clifford rotors. Oscillator dynamics. Explore our open checkpoints and try the models in their native research demos.</p> |
| <div class="actions"><a class="button primary" href="https://huggingface.co/spaces/MonumentalSystems/spectral-kan-lab" target="_blank" rel="noopener noreferrer">Try SpectralKAN ↗</a><a class="button" href="#models">Explore the models ↓</a></div> |
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| <section id="models" aria-labelledby="models-title"> |
| <div class="section-heading"><h2 id="models-title">Geometric language models</h2><p>Different sequence mechanisms, native byte vocabularies, and explicit checkpoint provenance.</p></div> |
| <div class="grid"> |
| <article class="card"> |
| <div class="tag">Spectral recurrence · Spherical dynamics</div><h3>Clean SpectralKAN 128M</h3><span class="status demo">Interactive demo</span> |
| <p>An attention-free recurrent model with bounded state. The clean release completed one corpus pass, with no chat or instruction fine-tuning.</p><div class="spec">128.26M parameters · Raw UTF-8 bytes · CC BY-NC 4.0</div> |
| <div class="actions"><a class="button primary" href="https://huggingface.co/spaces/MonumentalSystems/spectral-kan-lab" target="_blank" rel="noopener noreferrer">Try Clean in the lab ↗</a><a href="https://huggingface.co/MonumentalSystems/harmonic-gpt-spherical-kan-128m-clean" target="_blank" rel="noopener noreferrer">Model card</a></div> |
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| <article class="card"> |
| <div class="tag">SpectralKAN · Instruction preview</div><h3>Maxine</h3><span class="status demo">Interactive demo</span> |
| <p>The spherical recurrent architecture with partial instruction tuning. Uses its native Instruction / Response format and a trained response terminator.</p><div class="spec">128.26M parameters · Task-family specialization · CC BY-NC 4.0</div> |
| <p class="detail">Benchmark-family-directed tuning; its scores are not a clean general-purpose evaluation.</p> |
| <div class="actions"><a class="button primary" href="https://huggingface.co/spaces/MonumentalSystems/spectral-kan-lab" target="_blank" rel="noopener noreferrer">Try Maxine ↗</a><a href="https://huggingface.co/MonumentalSystems/harmonic-gpt-spherical-kan-128m-maxine" target="_blank" rel="noopener noreferrer">Model card</a></div> |
| </article> |
| <article class="card"> |
| <div class="tag">Clifford algebra · Rotor dynamics</div><h3>Rotor 25M</h3><span class="status demo">Interactive demo</span> |
| <p>A byte language model built around bivector coupling, Cayley rotors, and sphere-valued dynamics. The demo serves the Annealed mixed-domain checkpoint.</p><div class="spec">25M family · 20 layers · 256-byte training sequences · MIT</div> |
| <div class="actions"><a class="button primary" href="https://huggingface.co/spaces/MonumentalSystems/rotor-25m-space" target="_blank" rel="noopener noreferrer">Try Rotor ↗</a><a href="https://huggingface.co/MonumentalSystems/rotor-25m-annealed" target="_blank" rel="noopener noreferrer">Model card</a></div> |
| </article> |
| <article class="card"> |
| <div class="tag">Native oscillators · Clifford dynamics</div><h3>WIRE 9M</h3><span class="status">Downloadable research checkpoint</span> |
| <p>A small, from-scratch oscillator language model whose sequence mixing uses Clifford algebra and harmonic dynamics. Explore the tensors and configuration.</p><div class="spec">8.89M parameters · 64 harmonics · 8 layers · MIT</div> |
| <p class="detail">The public release contains weights and configuration; it has no bundled standalone inference runtime.</p> |
| <div class="actions"><a class="button" href="https://huggingface.co/MonumentalSystems/wire-9m-best" target="_blank" rel="noopener noreferrer">Explore WIRE ↗</a></div> |
| </article> |
| </div> |
| </section> |
| <section id="experiments" class="other" aria-labelledby="experiments-title"> |
| <div class="section-heading"><h2 id="experiments-title">Dialogue experiments & controls</h2><p>Conventional Transformer checkpoints help study behavior alongside the geometric architectures.</p></div> |
| <div class="grid"> |
| <article class="card"><div class="tag">Conventional Transformer control</div><h3>Harmonic Byte Chat</h3><span class="status demo">Interactive demo · Mac-hosted generation</span><p>The 127.6M raw-byte chat model used as a conventional Transformer control. Sampling controls include temperature, top-p, top-k, and byte limits.</p><div class="actions"><a class="button" href="https://huggingface.co/spaces/MonumentalSystems/harmonic-byte-chat" target="_blank" rel="noopener noreferrer">Try Byte Chat ↗</a><a href="https://huggingface.co/MonumentalSystems/harmonic-gpt-128m-byte-chat" target="_blank" rel="noopener noreferrer">Model card</a></div></article> |
| <article class="card"><div class="tag">Participant-aware dialogue</div><h3>Multiparty Byte Agent</h3><span class="status">Downloadable research checkpoint</span><p>Dialogue represented as a room of peer agents, with explicit speaker, addressee, audience, and participant registry. A 127.6M Transformer dialogue experiment.</p><div class="actions"><a class="button" href="https://huggingface.co/MonumentalSystems/harmonic-gpt-128m-byte-agent-multiparty" target="_blank" rel="noopener noreferrer">Explore the model ↗</a></div></article> |
| </div> |
| </section> |
| <p class="notice">These are small experimental models. Outputs can be incorrect, repetitive, or malformed. Training and within-run metrics are documented on each model card; they should not be compared across different corpora or evaluation protocols.</p> |
| <section id="archives" class="archives" aria-labelledby="archives-title"><div><h2 id="archives-title">Research lineage, preserved</h2><p>Raw checkpoint archives preserve experiments and provenance. Supported inference releases are identified separately.</p></div><a class="button" href="https://huggingface.co/collections/MonumentalSystems/model-checkpoint-archives-monumental-systems-6ac809b3b5fb17eee6b9033a" target="_blank" rel="noopener noreferrer">Browse archives ↗</a></section> |
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| <footer><span>Monumental Systems · Harmonic GPT research</span><span>Open checkpoints. Native architectures. Clear provenance.</span></footer> |
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