Hyperdimensional symbolic residual compression for neural network weights
Project description
Hyper Glyph
Hyperdimensional symbolic residual compression for neural network weights.
Package name:
hyperglyph-codec
Project name: Hyper Glyph
Install:pip install hyperglyph-codec
Import:from hyperglyph import HyperGlyphCodec
Hyper Glyph combines:
- Block-level tensor compression for NumPy arrays and neural network weights.
- Symbolic prototype assignment to represent repeated weight patterns compactly.
- Sparse residual repair to preserve reconstruction fidelity after prototype decoding.
- Int8 residual quantization to reduce sparse repair payload size.
- Per-block, per-tensor, and per-channel prototype scales for tuning reconstruction behavior.
- Configurable compression controls for block size, prototype count, residual size, and tensor filtering.
- State dict compression for model-like parameter dictionaries.
- Optional PyTorch support for loading, compressing, restoring, and benchmarking
.ptstate dicts. .hwzserialization for saving compressed models as portable archives.- Compression reports with size ratio, tensor counts, and reconstruction error metrics.
- Markdown benchmark export with FP32, FP16, INT1 through INT8, and Hyper Glyph comparisons.
- Optional perplexity evaluation on WikiText-2 or C4-style subsets when
torch,transformers, anddatasetsare installed. - Layer-wise error and ablation helpers for residuals, codebook size, block size, scale modes, and decompressed inference comparisons.
- A small CLI for compressing, decompressing, inspecting, and benchmarking model archives.
- Typed Python API designed for research, experimentation, and extension.
Before / After
import numpy as np
from hyperglyph import HyperGlyphCodec, HyperGlyphConfig
state_dict = {
"layer.weight": np.arange(1024, dtype=np.float32).reshape(32, 32),
}
config = HyperGlyphConfig(
block_size=16,
n_prototypes=32,
residual_k=4,
)
codec = HyperGlyphCodec(config)
compressed = codec.compress_state_dict(state_dict)
restored = codec.decompress_state_dict(compressed)
report = codec.report(compressed, state_dict, restored)
print(report)
Example output:
CompressionReport(
original_bytes=4096,
compressed_bytes=...,
compression_ratio=...,
tensors_compressed=1,
tensors_skipped=0,
total_mse=...,
total_mae=...,
max_abs_error=...
)
That is the core job: encode large weight tensors as reusable symbolic prototypes plus a small residual correction, then report the size and reconstruction tradeoff.
Hyper Glyph v0.2.0 is an experimental research codec. It is intended for testing ideas around hyperdimensional and symbolic weight compression rather than guaranteed production compression.
Hyper Glyph v0.3.0 adds compact mode, a byte-packed archive path focused on actual stored bytes rather than theoretical payload estimates. Hyper Glyph v0.6.0 extends the benchmark harness across scalar quantization bit widths from 1 through 8 bits. Hyper Glyph v0.7.0 adds optional open-model evaluation hooks for perplexity, tensor-wise error analysis, ablations, and decompressed inference.
Sample v0.2.0 benchmark from examples/artifacts/sample-v0.2-benchmark.md:
| Representation | Bytes | Ratio vs FP32 | MSE | MAE | Max abs error |
|---|---|---|---|---|---|
| FP32 | 24576 | 1.00x | 0 | 0 | 0 |
| FP16 estimate | 12288 | 2.00x | - | - | - |
| INT8 estimate | 6144 | 4.00x | - | - | - |
| Hyper Glyph | 22032 | 1.12x | 0.00266153 | 0.0405458 | 0.197096 |
The matching compressed artifact is examples/artifacts/sample-v0.2.hwz
and is 26,318 bytes on disk in the current zip-based archive format.
Hyper Glyph Compact Mode
Compact mode moves large payloads out of JSON and into binary streams inside the
.hwz archive. v0.6.0 keeps compact_tensor_codec="auto" as the default, so
each tensor can choose the best candidate for its byte/error tradeoff. It
includes:
- Global codebook and packed assignment utilities for symbolic prototype experiments.
- Packed affine scalar quantization baselines for INT1 through INT8.
- Uint4 assignment packing when the prototype count is 16 or lower.
- Run-length encoding for repeated assignment patterns.
- Grouped/blockwise assignment sharing through
assignment_group_size. - Packed int4 tensor storage when it beats prototype mode on byte/error tradeoffs.
- Low-rank int8 and low-rank plus sparse residual candidates.
- Sparse tensor and raw int8 candidates for small or structured tensors.
- Block-codebook plus sparse residual candidates.
- Float16 or float32 scale metadata, with per-tensor and per-channel scale modes.
- Adaptive sparse residual budget helpers with delta-varint index encoding.
- Optional zstd compression for binary streams via
hyperglyph-codec[compression]. - Payload breakdown reporting for metadata, assignments, scales, residuals, and archive size.
Measured on the deterministic synthetic GPT-style benchmark in
examples/artifacts/v0.6/benchmark_report.md:
| Method | Bytes | Ratio | MSE | Cosine |
|---|---|---|---|---|
| FP32 | 918528 | 1.00x | 0 | 1.00000004 |
| FP16 quantization | 459264 | 2.00x | 2.9432538e-10 | 0.99999992 |
| INT1 quantization | 28872 | 31.81x | 0.073967011 | 0.81135406 |
| INT2 quantization | 57576 | 15.95x | 0.0044553082 | 0.84468936 |
| INT3 quantization | 86280 | 10.65x | 0.00077001884 | 0.95792332 |
| INT4 quantization | 114984 | 7.99x | 0.00016693089 | 0.99027589 |
| INT5 quantization | 143688 | 6.39x | 3.9213638e-05 | 0.99768398 |
| INT6 quantization | 172392 | 5.33x | 9.4796408e-06 | 0.99943803 |
| INT7 quantization | 201096 | 4.57x | 2.3378236e-06 | 0.99986133 |
| INT8 quantization | 229800 | 4.00x | 5.783329e-07 | 0.99996566 |
| Hyper Glyph standard | 759603 | 1.21x | 0.00028803079 | 0.97888187 |
| Hyper Glyph compact codebook | 32226 | 28.50x | 0.0052734507 | 0.47573550 |
| Hyper Glyph compact auto | 123776 | 7.42x | 6.6366149e-05 | 0.99609527 |
| Hyper Glyph compact packed-int4 | 123155 | 7.46x | 6.6366149e-05 | 0.99517650 |
Payload breakdown for Hyper Glyph compact auto:
| Payload | Bytes |
|---|---|
| metadata_bytes | 6896 |
| prototype_bytes | 0 |
| assignment_bytes | 0 |
| scale_bytes | 18464 |
| residual_index_bytes | 0 |
| residual_value_bytes | 0 |
| low_rank_bytes | 0 |
| raw_value_bytes | 114944 |
| sparse_index_bytes | 0 |
| sparse_value_bytes | 0 |
| archive_total_bytes | 123776 |
On this benchmark, codebook mode massively reduces archive size but has poor error. Auto mode selects the quality-oriented packed-int4 candidate for these random GPT-style tensors, beats plain INT4 MSE, and reports packed value bytes separately from true codebook assignment bytes.
Beyond Scalar Quantization
Standard INT4 and INT8 quantization round weights independently. The stronger compression literature usually combines vector quantization, pruning, and lossless coding to push practical storage toward the 1- to 2-bit regime without accepting the error profile of naive rounding.
- Extreme vector quantization: learned dictionaries encode groups of weights as shared vectors or codewords instead of independent scalars. AQLM uses additive learned codebooks to keep language-model weight compression competitive below 3 bits per parameter. QuIP# uses randomized Hadamard mixing and high-dimensional lattice codebooks such as E8 for strong results at 4 bits per weight and below.
- Pruning and sparsity: pruning removes redundant weights rather than only lowering their precision. Semi-structured 2:4 sparsity stores two non-zero weights per group of four and maps to supported neural cores. SparseGPT uses second-order approximations to remove unstructured weights while compensating for the dropped connections.
- Entropy and lossless encoding: quantized weights and assignments are not uniformly distributed, so Huffman, ANS, range coding, or zstd-style compression can reduce archive bytes further. EntroLLM-style entropy coding targets frequent patterns with shorter codes. Delta methods such as BitDelta and SVD-based deltas store only fine-tuning differences from a base model, often in 1- or 2-bit form.
Hyper Glyph v0.6.0 does not claim full AQLM, QuIP#, SparseGPT, or EntroLLM implementations. It implements the practical building blocks needed to compare against them: learned block codebooks, sparse residual repair, low-rank plus residual candidates, grouped assignments, run-length and delta-varint streams, optional zstd archive compression, and benchmark rows across every scalar bit width from INT1 through INT8.
Evaluation Suite
v0.7.0 adds evaluation helpers for the heavier checks that should run outside normal CI:
- Perplexity:
evaluate_perplexity(...)can evaluate FP32 and optionally decompressed weights on WikiText-2 by default, or on a C4 subset when you pass the dataset name/config. This requirestorch,transformers, anddatasets. - Open models: the default model suite includes DistilGPT2,
EleutherAI/gpt-neo-125m,facebook/opt-125m,EleutherAI/pythia-70m, andTinyLlama/TinyLlama-1.1B-Chat-v1.0. - Stronger quantization libraries:
available_strong_quantization_libraries()detects optional GPTQ, AWQ, SmoothQuant, bitsandbytes, TorchAO, and Optimum Quanto installs so reports can distinguish plain affine baselines from advanced quantization baselines. - Layer-wise analysis:
tensor_error_analysis(original, restored)reports per-tensor MSE, MAE, max error, cosine, and FP32 bytes. - Ablations:
run_ablation_study(...)compares residuals on/off, codebook size, block size, and scale modes. - Inference after decompression:
compare_inference_after_decompression(...)compares logits from the original model and a copy loaded with restored weights.
Run the optional model-suite example:
python examples/evaluate_model_suite.py --max-samples 16
python examples/evaluate_model_suite.py --dataset c4 --dataset-config en --decompressed
These evaluations can be slow and may download model/data artifacts. Archive size and reconstruction quality are expected to vary by architecture and tensor type. Plain affine INT1-INT8 remains the built-in scalar baseline; GPTQ/AWQ/SmoothQuant comparisons are detected and should be run through their respective libraries when installed.
Why Hyperdimensional Weight Compression?
Neural network weights often contain repeated local structure, approximate patterns, and redundancy that can be represented more compactly than raw floating-point tensors:
Weight tensors
-> Split into fixed-size blocks
-> Learn reusable prototype blocks
-> Assign each block to a prototype
-> Store per-block scales
-> Store sparse top-k residual corrections as int8 or float32
-> Save compressed archive
-> Restore approximate tensors
-> Report compression and reconstruction metrics
Hyper Glyph is designed for experiments where you want to inspect that
tradeoff directly:
- Large weight matrices that can be split into repeated local blocks.
- Prototype-based compression where blocks share learned representatives.
- Sparse residual repair where only the largest reconstruction corrections are stored.
- Scale modes for per-block, per-tensor, or per-channel prototype scaling.
- Approximate reconstruction with measurable MSE, MAE, and max absolute error.
- State dict workflows that match common PyTorch model storage patterns.
- Portable archive output for saving and inspecting compressed runs.
Why Not Just Quantization?
Quantization changes the numeric precision of individual weights. Hyper Glyph uses a different representation: each tensor block is mapped to a learned prototype, scaled, and repaired with a sparse residual.
That makes Hyper Glyph useful for experimenting with symbolic and hyperdimensional compression ideas, not as a drop-in replacement for mature quantization, pruning, or production model compression toolchains.
Architecture
Input weights
- NumPy arrays
- PyTorch state_dict values
|
v
Compression
- tensor filtering
- block splitting
- prototype learning
- prototype assignment
- scale calculation
- int8 or float32 sparse residual encoding
|
v
CompressedModel
- compressed tensors
- shapes
- prototype ids
- scales
- residuals
- prototype matrices
- codec metadata
|
v
Decompression and report
- reconstructed tensors
- original/compressed byte estimates
- compression ratio
- MSE / MAE / max error
Install
pip install hyperglyph-codec
For PyTorch state dict support:
pip install "hyperglyph-codec[torch]"
For compact archives with optional zstd compression:
pip install "hyperglyph-codec[torch,compression]"
For documentation dependencies:
pip install "hyperglyph-codec[docs]"
For development:
pip install -e ".[dev,torch,docs]"
pytest
python -m build
Quick Start
Compress a NumPy State Dict
import numpy as np
from hyperglyph import HyperGlyphCodec, HyperGlyphConfig
state_dict = {
"weight": np.arange(256, dtype=np.float32).reshape(16, 16),
}
config = HyperGlyphConfig(
block_size=8,
n_prototypes=8,
residual_k=2,
)
codec = HyperGlyphCodec(config)
compressed = codec.compress_state_dict(state_dict)
restored = codec.decompress_state_dict(compressed)
print(restored["weight"].shape)
Compress a PyTorch Model
import torch
from hyperglyph import HyperGlyphCodec, HyperGlyphConfig
model = torch.nn.Sequential(
torch.nn.Linear(32, 32),
torch.nn.ReLU(),
torch.nn.Linear(32, 8),
)
config = HyperGlyphConfig(
block_size=16,
n_prototypes=16,
residual_k=4,
residual_dtype="int8",
scale_mode="block",
)
codec = HyperGlyphCodec(config)
compressed = codec.compress_state_dict(model.state_dict())
restored = codec.decompress_state_dict(compressed)
print(f"Compressed tensors: {len(compressed.tensors)}")
print(f"Restored keys: {sorted(restored)}")
Save and Load .hwz Archives
from hyperglyph import load_compressed, save_compressed
save_compressed(compressed, "model.hwz")
loaded = load_compressed("model.hwz")
restored = codec.decompress_state_dict(loaded)
Generate a Report
report = codec.report(
compressed_model=compressed,
original_state_dict=state_dict,
restored_state_dict=restored,
)
print(report.compression_ratio)
print(report.total_mse)
print(report.max_abs_error)
CLI
Compress a PyTorch state dict into a .hwz archive:
hyperglyph compress model.pt model.hwz
Use compact mode and a target ratio:
hyperglyph compress gpt2.pt gpt2.hwz --mode compact --target-ratio 8
hyperglyph inspect gpt2.hwz
Tune compression settings:
hyperglyph compress model.pt model.hwz \
--block-size 16 \
--hdc-dim 4096 \
--n-buckets 16 \
--n-prototypes 128 \
--residual-k 8 \
--residual-dtype int8 \
--scale-mode per_channel \
--min-tensor-size 256
Restore a compressed archive back to a PyTorch state dict:
hyperglyph decompress model.hwz restored.pt
Inspect archive metadata:
hyperglyph inspect model.hwz
Benchmark compression and reconstruction:
hyperglyph benchmark model.pt
Benchmark compact mode:
hyperglyph benchmark model.pt --mode compact
Export the benchmark as markdown:
hyperglyph benchmark model.pt --markdown-output benchmark.md
Benchmark Example
A small practical benchmark is enough to see the current codec behavior:
hyperglyph benchmark model.pt
Example markdown output:
| Representation | Bytes | Ratio vs FP32 | MSE | MAE | Max abs error |
| FP32 | 24576 | 1.00x | 0 | 0 | 0 |
| FP16 estimate | 12288 | 2.00x | - | - | - |
| INT8 estimate | 6144 | 4.00x | - | - | - |
| Hyper Glyph | 22032 | 1.12x | 0.00266153 | 0.0405458 | 0.197096 |
The current package focuses on transparent compression experiments rather than claiming universal size reductions. Compare the restored model against your own accuracy, latency, and reconstruction thresholds.
Main Features
1. Configurable Codec
Tune the compression shape with one dataclass:
from hyperglyph import HyperGlyphConfig
config = HyperGlyphConfig(
hdc_dim=4096,
block_size=16,
n_buckets=16,
n_prototypes=128,
residual_k=8,
residual_dtype="int8",
scale_mode="channel",
seed=42,
min_tensor_size=256,
compress_bias=False,
)
2. Array Compression
Compress and reconstruct a single NumPy array:
import numpy as np
from hyperglyph import HyperGlyphCodec
codec = HyperGlyphCodec()
array = np.random.randn(64, 64).astype("float32")
compressed = codec.compress_array("layer.weight", array)
restored = codec.decompress_array(compressed)
3. State Dict Compression
Compress dictionary-style model weights:
compressed = codec.compress_state_dict(state_dict)
restored = codec.decompress_state_dict(compressed)
By default, small tensors and bias tensors are skipped. Set min_tensor_size
and compress_bias in HyperGlyphConfig to change that behavior.
4. Sparse Residual Repair
Each block is reconstructed from a prototype and scale, then corrected with a top-k sparse residual:
block ~= prototype[prototype_id] * scale + sparse_residual
Increase residual_k for better reconstruction fidelity, or reduce it for a
smaller compressed representation.
Set residual_dtype="int8" to quantize sparse residual values. Use
residual_dtype="float32" when you want unquantized residual repairs.
5. Serialization
Save compressed models as .hwz zip archives:
from hyperglyph import load_compressed, save_compressed
save_compressed(compressed, "model.hwz")
loaded = load_compressed("model.hwz")
6. PyTorch Adapter
Install the torch extra to convert PyTorch tensors into compressed Hyper Glyph
models:
from hyperglyph import compress_state_dict, decompress_state_dict
compressed = compress_state_dict(model.state_dict())
restored = decompress_state_dict(compressed, reference_state_dict=model.state_dict())
7. Compression Metrics
Measure the compression and reconstruction tradeoff:
report = codec.report(compressed, state_dict, restored)
print(report.original_bytes)
print(report.compressed_bytes)
print(report.compression_ratio)
print(report.total_mse)
print(report.total_mae)
print(report.max_abs_error)
Configuration
from hyperglyph import HyperGlyphConfig
config = HyperGlyphConfig(
hdc_dim=4096,
block_size=16,
n_buckets=16,
n_prototypes=128,
residual_k=8,
residual_dtype="int8",
scale_mode="block",
seed=42,
min_tensor_size=256,
compress_bias=False,
dtype="float32",
device="cpu",
)
Key settings:
block_sizecontrols how many flattened weights are grouped together.n_prototypescontrols how many reusable block representatives are learned.residual_kcontrols how many residual correction values are stored per block.residual_dtypecontrols whether sparse residual values are stored asint8orfloat32.scale_modecontrols whether prototype scales are calculated perblock, pertensor, or perchannel.min_tensor_sizeskips tensors too small to benefit from compression.compress_biasenables compression for bias tensors, which are skipped by default.seedmakes prototype selection deterministic.
Examples
import numpy as np
from hyperglyph import HyperGlyphCodec, HyperGlyphConfig
state_dict = {
"encoder.weight": np.random.randn(128, 128).astype("float32"),
"decoder.weight": np.random.randn(128, 64).astype("float32"),
}
codec = HyperGlyphCodec(
HyperGlyphConfig(
block_size=16,
n_prototypes=64,
residual_k=8,
residual_dtype="int8",
scale_mode="channel",
)
)
compressed = codec.compress_state_dict(state_dict)
restored = codec.decompress_state_dict(compressed)
report = codec.report(compressed, state_dict, restored)
print(report)
hyperglyph compress model.pt model.hwz
hyperglyph inspect model.hwz
hyperglyph benchmark model.pt
Project Structure
src/hyperglyph/
__init__.py # Public API
archive.py # Compact .hwz binary stream archive helpers
benchmark.py # Benchmark report helpers
blocks.py # Tensor flattening, block splitting, shape restore
cli.py # Command-line interface
codec.py # HyperGlyphCodec and compressed dataclasses
compact_codec.py # CompactHyperGlyphCodec
config.py # HyperGlyphConfig
exceptions.py # Package exceptions
global_codebook.py # Global prototype collection and assignment helpers
hdc.py # Hyperdimensional vector helpers
metrics.py # Size and reconstruction metrics
packing.py # uint4/int4/varint/delta packing helpers
prototypes.py # Prototype learning and assignment
evaluation.py # Perplexity, ablation, tensor-error, and inference helpers
quantization.py # int1-int8 affine quantization helpers
residual.py # Sparse residual encoding and repair
residual_budget.py # Adaptive residual budget helpers
serialization.py # .hwz save/load helpers
torch_adapter.py # Optional PyTorch integration
py.typed # Typing marker
tests/
test_*.py # Unit tests
docs/
algorithm.md # Algorithm overview
api.md # API notes
cli.md # CLI examples
index.md # Documentation home
roadmap.md # Planned work
examples/
compress_mlp.py # PyTorch MLP compression example
compress_state_dict.py # NumPy state dict compression example
mnist_demo.py # MNIST-oriented demo
benchmark_hyperglyph_vs_quant.py # FP32/FP16/INT1-INT8/Hyper Glyph benchmark
evaluate_model_suite.py # Optional open-model perplexity evaluation
artifacts/
sample-v0.2.hwz # Example compressed archive
sample-v0.2-benchmark.md # Markdown benchmark report
hyperglyph.png # Project logo
pyproject.toml # Package metadata and dependencies
CHANGELOG.md # Release history
CONTRIBUTING.md # Contribution guide
LICENSE # MIT license
Development
# Install with dev, PyTorch, and docs extras
pip install -e ".[dev,torch,docs]"
# Run tests
pytest
# Run linting
ruff check .
# Type-check package code
mypy
# Build package
python -m build
License
MIT
Contributing
Contributions are welcome. Open an issue or pull request with the model shape, codec configuration, expected compression behavior, reconstruction metrics, and any accuracy checks you used.
Citation
If you use Hyper Glyph in research, please cite:
@software{HyperGlyph2026,
title={Hyper Glyph: Hyperdimensional Symbolic Residual Compression for Neural Network Weights},
author={Robert McMenemy},
year={2026},
version={0.7.0},
}
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