vulgaris 0.1.1

Foundational industrial AI model for real-time telemetry, IoT, and time-series

VULGARIS

Foundational Industrial AI Model

Real-time telemetry · IoT · Telecom · Time-series

---

VULGARIS is an open-source foundational model for industrial time-series data — built from scratch in pure NumPy with a custom reverse-mode autograd engine. No PyTorch. No TensorFlow. No CUDA required.

It is designed for real-world deployments in telecom networks, IoT sensor grids, SCADA systems, and edge hardware where data is streaming, multimodal, and non-stationary.

Architecture

Input (B, C, T)
     │
     ▼
┌──────────────────────────────────────────────────────┐
│  ASE  — Adaptive Signal Embedding (Morlet wavelets)  │
│  HTD  — Hierarchical Timescale Decomposition (4×SSM) │
│  SSSR — Selective State-Space Recurrence (diag ZOH)  │
│  DAH  — Domain-Adaptive Hypernetwork (LoRA)          │
│  CRG  — Causal Routing Graph (NOTEARS DAG)           │
│  HMB  — Hierarchical Memory Bank (VAE slots)         │
│  Safety — Control Barrier Function head              │
│  ESE  — Explainability Engine (CART rules)           │
└──────────────────────────────────────────────────────┘
     │
     ▼
Output + Aux losses (DAG penalty, memory loss, CBF)

Installation

# Core (numpy only — no optional deps)
pip install vulgaris

# With inference server
pip install "vulgaris[serve]"

# Full install
pip install "vulgaris[all]"

Quick Start

import numpy as np
from vulgaris import Vulgaris, ModelConfig

# Configure
config = ModelConfig(
    input_dim=9,      # number of input channels
    n_classes=5,      # set 0 for regression
    output_dim=1,
)

# Build model
model = Vulgaris(config)

# Forward pass
x = np.random.randn(8, 9, 64).astype(np.float32)  # (batch, channels, time)
from vulgaris import Tensor
output, aux = model(Tensor(x))
print(output.data.shape)   # (8, 5)

# Streaming single-step inference
state = model.init_state(batch_size=1)
x_t = Tensor(np.random.randn(1, 9).astype(np.float32))
out_t, state = model.step(x_t, state)

Training

from vulgaris import (
    Vulgaris, ModelConfig,
    TrainingPipeline, VulgarisLoss,
    SpectralAdamW, CosineSchedule,
)

config    = ModelConfig(input_dim=9, n_classes=5)
model     = Vulgaris(config)
loss_fn   = VulgarisLoss(config)
optimizer = SpectralAdamW(model.parameters(), lr=3e-4)
scheduler = CosineSchedule(optimizer, warmup_steps=1000,
                           max_steps=50_000, min_lr=1e-6)
pipeline  = TrainingPipeline(model, config, loss_fn, optimizer, scheduler)

# Train
x_np = np.random.randn(32, 9, 64).astype(np.float32)
y_np = np.zeros(32, dtype=np.float32)
metrics = pipeline.train_step(x_np, y_np)
print(metrics)

From Environment (production)

export VULGARIS_INPUT_DIM=9
export VULGARIS_N_CLASSES=5
export VULGARIS_D_MODEL=256

from vulgaris import ModelConfig, Vulgaris
config = ModelConfig.from_env()
model  = Vulgaris(config)

Serve via REST API

pip install "vulgaris[serve]"
export VULGARIS_INPUT_DIM=9
export VULGARIS_N_CLASSES=5
vulgaris-serve
# → http://localhost:8000
# → http://localhost:8000/docs
# → http://localhost:8000/metrics

Docker

docker compose up

Key Features

Feature	Description
Pure NumPy	No PyTorch/TF/JAX — runs anywhere Python runs
Custom Autograd	Tape-based reverse-mode with graph freeing
State-Space Core	Diagonal ZOH SSM, sub-quadratic in sequence length
Causal Discovery	NOTEARS DAG learns causal structure online
Domain Adaptation	LoRA hypernetwork, switch domains at inference time
Explainability	CART rule extraction from latent representations
Safety	Control Barrier Function output head
Conformal Prediction	Non-stationary coverage guarantees
Streaming	Single-step .step() API for edge deployment
Multi-modal	InfoNCE cross-modal alignment (CMLA)
Federated	Differential privacy + federated continual learning
Drift Detection	KS, MMD, Wasserstein-1D drift monitoring

Repository Structure

vulgaris-ai/
├── vulgaris/          ← Public API entry point
├── engine/            ← Autograd engine (Tensor, Module, Layers)
├── modules/           ← Model building blocks
├── model/             ← Full Vulgaris model
├── training/          ← Loss, optimizer, pipeline, self-supervised
├── inference/         ← FastAPI server + streaming
├── serve/             ← Auth, metrics, degradation, versioning
├── monitoring/        ← Drift detection
├── federated/         ← Federated continual learning
├── benchmarks/        ← Baselines + dataset loaders
├── tests/             ← Unit + integration tests
└── config.py          ← All configuration dataclasses

Citation

@software{vulgaris2026,
  title   = {VULGARIS: Foundational Industrial AI Model},
  year    = {2026},
  url     = {https://github.com/vulgaris-ai/vulgaris},
  license = {Apache-2.0},
}

License

Apache License 2.0 — see LICENSE.