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Pentachora Adaptive Encoded (Multi-Channel)
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A geometry-regularized classifier with a 5-frequency encoder and pentachoron constellation heads.
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Authors: AbstractPhil, Quartermaster: Mirel - GPT 4o * GPT 5 * GPT 5 Thinking * GPT 5 Fast
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Contributions: Claude 4.1 Opus, Claude 4 Sonnet, Gemini
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License: Apache-2.0
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📌 TL;DR
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This repository hosts training runs of a frequency-aware encoder (PentaFreq) paired with a pentachoron constellation classifier (dispatchers + specialists). The model blends classic cross-entropy with two contrastive objectives (dual InfoNCE and ROSE-weighted InfoNCE) and a geometric regularizer that keeps the learned vertex geometry sane.
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It supports 1-channel and 3-channel 28×28 inputs (e.g., TorchVision MNIST variants and MedMNIST 2D sets), is seeded/deterministic, and ships full artifacts (weights, plots, history, TensorBoard) for review.
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🧠 Model overview
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Architecture
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5 spectral branches (ultra-high, high, mid, low-mid, low) → per-branch encoders → cross-attention → MLP fusion → normalized latent z.
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Channel-aware: supports C ∈ {1,3}; input is flattened to C×28×28.
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All contrastive losses use log_softmax + gather to avoid inf−inf traps; all paths nan-sanitize defensively.
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Determinism
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Global seeding (Python/NumPy/Torch), deterministic DataLoader workers, generator-seeded samplers; cuDNN deterministic & TF32 off.
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🗂️ Repository layout per run
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Each training run uploads a complete bundle at:
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<repo>/<root>/<DatasetName>/<Timestamp_or_best>/
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weights/
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encoder[_<Dataset>].safetensors
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history.json / history.csv
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tensorboard/ (+ zip)
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plots/ # accuracy, loss components, lambda, confusion matrices
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🧩 Intended use & use cases
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Intended use: research-grade supervised classification and geometry-regularized representation learning on small images (28×28) across gray and color channels.
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Example use cases
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Benchmarking on MNIST family / MedMNIST 2D sets with defensible, reproducible training and complete artifacts.
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Geometry-aware representation learning: analyze how simplex vertices move, how the gate allocates probability mass, and how geometry regularization affects generalization.
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MNIST/Fashion* 1 0.97–0.98 15–25 stable losses + reg ramp
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BloodMNIST 3 ~0.95–0.97+ 20–30 color preserved, 28×28
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EMNIST (bal) 1 0.88–0.92 25–45 many classes; pairs auto-scaled
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Consult each dataset folder’s history.csv for the full learning curve and the current best accuracy.
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import torch
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from safetensors.torch import load_file as load_safetensors
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logits, diag_out = constellation(z) # [B, C]
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pred = logits.argmax(dim=1)
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print(pred)
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🔬 Training procedure (default)
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Optimizer: AdamW (β1=0.9, β2=0.999), size-aware LR (≈2e-2 by default)
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Schedule: 10% warmup → cosine to lr_min=1e-6
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Batch size: up to 2048 (fits on T4/A100 at 28×28)
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Loss: CE + Dual InfoNCE + ROSE InfoNCE + Geometry Reg (ramped) + Diag MSE
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Determinism: seeds for Python/NumPy/Torch (CPU/GPU), deterministic DataLoader workers and samplers, cuDNN deterministic, TF32 off
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Numerical safety: log-softmax contrastive, eigval CM proxy, nan_to_num guards, optional step rollback if non-finite
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📈 Evaluation
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Main metric: top-1 accuracy on the held-out test split defined by each dataset.
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Diagnostics we log:
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Routing entropy and vertex probabilities
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ROSE magnitudes
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Confusion matrices (per epoch and “best”)
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λ (geometry ↔ attention gate) over epochs
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Full loss decomposition
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🔭 Potential for growth
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📣 Citation
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If you use this work, please cite:
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@software{abstractphil_pentachora_2025,
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author = {AbstractPhil and Mirel},
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title = {Pentachora Adaptive Encoded: Geometry-Regularized Classification with PentaFreq},
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year = {2025},
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license = {Apache-2.0},
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url = {https://huggingface.co/AbstractPhil
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}
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2025-08: Flagship notebook stabilized (stable losses, eigval CM proxy, NaN rollback, deterministic sweep).
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2025-08: Multi-channel PentaFreq; per-dataset HF folders with full artifacts; optional best/ alias.
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2025-08: Hypercube constellation classes added for follow-up experiments.
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# Pentachora Adaptive Encoded (Multi-Channel)
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**A geometry-regularized classifier with a 5-frequency encoder and pentachoron constellation heads.**
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*Author:* **AbstractPhil** · *Quartermaster:* **Mirel** · GPT 4o - GPT 5 - GPT 5 Fast - GPT 5 Thinking - GPT 5 Pro
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*Assistants:* Claude Opus 4.1 - Claude Sonnet 4 - Gemini 2.5
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*License:* **Apache-2.0**
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---
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## 📌 TL;DR
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This repository hosts training runs of a **frequency-aware encoder** (PentaFreq) paired with a **pentachoron constellation classifier** (dispatchers + specialists). The model blends classic cross-entropy with **two contrastive objectives** (dual InfoNCE and **ROSE-weighted** InfoNCE) and a **geometric regularizer** that keeps the learned vertex geometry sane.
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It supports **1-channel and 3-channel** 28×28 inputs (e.g., TorchVision MNIST variants and MedMNIST 2D sets), is **seeded/deterministic**, and ships full artifacts (weights, plots, history, TensorBoard) for review.
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---
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## 🧠 Model overview
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### Architecture
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- **PentaFreq Encoder (multi-channel)**
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- 5 spectral branches (ultra-high, high, mid, low-mid, low) → per-branch encoders → cross-attention → MLP fusion → **normalized latent `z`**.
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- Channel-aware: supports **C ∈ {1,3}**; input is flattened to `C×28×28`.
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- **Pentachoron Constellation Classifier**
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- **Two stacks** (dispatchers & specialists) each containing **pentachora** (5-vertex simplices) with learnable vertices.
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- **Coherence gate** modulates vertex logits; **group heads** (one per vertex) score class subsets; **pair aggregation** + fusion MLP produce final logits.
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- Geometry terms encourage valid simplex structure and separation between the two stacks.
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### Objective
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- **CE** – main cross-entropy on logits.
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- **Dual InfoNCE (stable)** – encourages `z` to match the **correct vertex** across both stacks.
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- **ROSE-weighted InfoNCE (stable)** – same idea, but reweights samples by an analytic **ROSE** similarity (triadic cosine + magnitude).
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- **Geometry Regularization** – stable Cayley–Menger **proxy** (eigval-based), edge-variance, center separation, and a **soft radius control**; ramped in early epochs.
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> All contrastive losses use `log_softmax` + `gather` to avoid `inf−inf` traps; all paths **nan-sanitize** defensively.
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### Determinism
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- Global seeding (Python/NumPy/Torch), deterministic DataLoader workers, generator-seeded samplers; cuDNN deterministic & TF32 off.
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- Optional strict mode (`torch.use_deterministic_algorithms(True)`) and deterministic cuBLAS.
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---
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## 🗂️ Repository layout per run
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Each training run uploads a complete bundle at:
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```
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<repo>/<root>/<DatasetName>/<Timestamp_or_best>/
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weights/
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encoder[_<Dataset>].safetensors
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history.json / history.csv
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tensorboard/ (+ zip)
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plots/ # accuracy, loss components, lambda, confusion matrices
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```
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> We also optionally publish a **`best/`** alias inside each dataset folder pointing to the current champion.
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---
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## 🧩 Intended use & use cases
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**Intended use**: research-grade supervised classification and geometry-regularized representation learning on small images (28×28) across gray and color channels.
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**Example use cases**
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- **Benchmarking** on MNIST family / MedMNIST 2D sets with defensible, reproducible training and complete artifacts.
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- **Geometry-aware representation learning**: analyze how simplex vertices move, how the gate allocates probability mass, and how geometry regularization affects generalization.
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- **Class routing / specialization**: per-vertex group heads provide an interpretable split of classes; confusion-driven vertex reweighting helps diagnose hard groups.
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- **Curriculum & loss ablations**: toggle ROSE, dual InfoNCE, or geometry terms to study their marginal value under a controlled seed.
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- **OOD “pressure tests”** (research): ROSE magnitude and routing entropy can be used as quick signals of uncertainty (not calibrated).
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- **Education & reproducibility**: the runs are fully seeded, include TensorBoard logs and plots, and use safe numerical formulations.
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---
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## 🚫 Out-of-scope / limitations
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- **Not a medical device** – even if trained on MedMNIST subsets, this is not a diagnostic tool. Don’t use it for clinical decisions.
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- **Input size** is 28×28; higher-resolution domains require retraining and likely architecture tweaks.
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- **Dataset bias / shift** – performance depends on the underlying distribution. Evaluate before deployment.
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- **Calibration** – logits are not guaranteed calibrated. For decision thresholds, use a validation set or post-hoc calibration.
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- **Robustness** – robustness to adversarial perturbations is not a design goal here.
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---
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## 📈 Example results (single-seed snapshots)
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> Numbers below are indicative from our seeded runs with `img_size=28`, size-aware LR schedule and reg ramp; see `manifest.json` in each run for exact details.
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| Dataset | C | Best Test Acc | Epoch | Notes |
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|----------------|---|---------------:|------:|--------------------------------------|
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| MNIST/Fashion* | 1 | 0.97–0.98 | 15–25 | stable losses + reg ramp |
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| BloodMNIST | 3 | ~0.95–0.97+ | 20–30 | color preserved, 28×28 |
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| EMNIST (bal) | 1 | 0.88–0.92 | 25–45 | many classes; pairs auto-scaled |
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\* depending on which of the pair (MNIST / FashionMNIST) is selected.
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Consult each dataset folder’s `history.csv` for the full learning curve and the **current best** accuracy.
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---
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## 🔧 How to use (PyTorch)
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```python
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import torch
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from safetensors.torch import load_file as load_safetensors
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logits, diag_out = constellation(z) # [B, C]
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pred = logits.argmax(dim=1)
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print(pred)
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```
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> To reproduce training, see `config.json` and `history.csv`; all recipes are encoded in the flagship notebook used for these runs.
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## 🔬 Training procedure (default)
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- **Optimizer**: AdamW (β1=0.9, β2=0.999), size-aware LR (≈2e-2 by default)
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- **Schedule**: 10% **warmup** → cosine to `lr_min=1e-6`
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- **Batch size**: up to 2048 (fits on T4/A100 at 28×28)
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- **Loss**: CE + Dual InfoNCE + ROSE InfoNCE + Geometry Reg (ramped) + Diag MSE
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- **Determinism**: seeds for Python/NumPy/Torch (CPU/GPU), deterministic DataLoader workers and samplers, cuDNN deterministic, TF32 off
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- **Numerical safety**: log-softmax contrastive, eigval CM proxy, `nan_to_num` guards, optional step rollback if non-finite
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---
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## 📈 Evaluation
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- Main metric: **top-1 accuracy** on the held-out test split defined by each dataset.
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- Diagnostics we log:
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- **Routing entropy** and vertex probabilities
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- **ROSE** magnitudes
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- Confusion matrices (per epoch and “best”)
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- λ (geometry ↔ attention gate) over epochs
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- Full loss decomposition
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---
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## 🔭 Potential for growth
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- **Hypercube Constellations** (shipped classes in the notebook): scale from 4-simplex to n-cube graphs; compare geometry families.
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- **Multi-resolution** (56→128→256 latent; 28→64→128 images); add pyramid encoders.
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- **Self-distillation / semi-supervised**: use ROSE as a confidence-weighted pseudo-labeling signal.
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- **Better routing**: learned vertex priors per class, entropy regularization, temperature schedules.
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- **Calibration & OOD**: temperature scaling / Dirichlet heads; exploit ROSE magnitude and gating entropy for improved uncertainty estimates.
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- **Deployment adapters**: ONNX / TorchScript exports; small mobile variants of PentaFreq.
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---
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## ⚖️ Ethical considerations & implications
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| 180 |
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| 181 |
+
- **Clinical datasets** (MedMNIST) are simplified proxies; they don’t reflect clinical complexity or demographic coverage.
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| 182 |
+
- **Downstream use** must include dataset-appropriate validation and calibration; this model is for **research** only.
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| 183 |
+
- **Data bias** and **label noise** can be amplified by strong geometry priors—review confusion matrices and per-class accuracies before claiming improvements.
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| 184 |
+
- **Positive implications**: the constellation design offers a **transparent, analyzable structure** (per-vertex heads, explicit geometry), easing **interpretability** and **ablation**.
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| 185 |
|
| 186 |
+
---
|
| 187 |
|
| 188 |
+
## 🔁 Reproducibility
|
| 189 |
|
| 190 |
+
- `config.json` contains all hyperparameters used for each run.
|
| 191 |
+
- `manifest.json` logs environment: Python, Torch, CUDA GPU, RAM, parameter counts.
|
| 192 |
+
- Seeds and determinism flags are printed in logs and set in code.
|
| 193 |
+
- `history.csv` + TensorBoard fully specify the learning trajectory.
|
| 194 |
|
| 195 |
+
---
|
| 196 |
|
| 197 |
+
## 🧾 License
|
| 198 |
|
| 199 |
+
**Apache License 2.0** – see `LICENSE`.
|
| 200 |
|
| 201 |
+
---
|
| 202 |
|
| 203 |
+
## 📣 Citation
|
| 204 |
|
| 205 |
If you use this work, please cite:
|
| 206 |
|
| 207 |
+
```
|
| 208 |
@software{abstractphil_pentachora_2025,
|
| 209 |
author = {AbstractPhil and Mirel},
|
| 210 |
title = {Pentachora Adaptive Encoded: Geometry-Regularized Classification with PentaFreq},
|
| 211 |
year = {2025},
|
| 212 |
license = {Apache-2.0},
|
| 213 |
+
url = {https://huggingface.co/AbstractPhil/pentachora-multi-channel-frequency-encoded}
|
| 214 |
}
|
| 215 |
+
```
|
| 216 |
|
| 217 |
+
---
|
|
|
|
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|
|
|
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|
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|
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|
| 218 |
|
| 219 |
+
## 🛠️ Changelog (excerpt)
|
| 220 |
|
| 221 |
+
- **2025-08**: Flagship notebook stabilized (stable losses, eigval CM proxy, NaN rollback, deterministic sweep).
|
| 222 |
+
- **2025-08**: Multi-channel PentaFreq; per-dataset HF folders with full artifacts; optional `best/` alias.
|
| 223 |
+
- **2025-08**: Hypercube constellation classes added for follow-up experiments.
|
| 224 |
|
| 225 |
+
---
|
| 226 |
|
| 227 |
+
## 💬 Contact
|
| 228 |
|
| 229 |
+
- **Author:** @AbstractPhil
|
| 230 |
+
- **Quartermaster:** Mirel (ChatGPT – GPT-5 Thinking)
|
| 231 |
+
- **Issues / questions:** open a Discussion on the HF repo or ping the author
|