HypercubeCascade Python SDK

Static fields have no natural clock. HypercubeCascade preprocesses each length-N field with two frozen hypercube stages — one etalon transit, then a short reservoir orbit — and trains a small HypercubeCNN readout only on the end state. One class — Cascade — owns collect → train → predict.

This is a map API, not a stream API. There is no per-tick input sequence and no next-step fit on a 1D signal (that is HypercubeESN). Time here is synthetic and per sample.

C++ core and contracts: CPP_SDK.md.
The concept in depth: CascadeWhitePaper.md.
PyPI-facing package story: python/README.md.
Package version: single source python/hypercube_cascade/_version.py (hypercube_cascade.__version__ and wheel metadata both read it).

Installation
Quick start
What a map is
Pipeline vocabulary
API reference
Input data layout
Data types
Error handling
Model persistence
Limitations
Dependencies

Installation

From PyPI (preferred)

Pre-built wheels — no compiler required:

pip install hypercube-cascade

Import as import hypercube_cascade as hc (PyPI name hypercube-cascade). Wheels cover Python 3.10–3.14 on common Windows (x64), Linux (x86_64, aarch64), and macOS (x86_64, arm64) builds. NumPy is the only runtime dependency.

From source (full repository)

Compile only from a full clone of HypercubeCascade. The extension links the C++ core and vendored HypercubeCNN that sit outside the python/ package directory; a python/-only tree is not enough.

Requirements: Python 3.10+, C++23 compiler (GCC 13+, Clang 17+, MSVC 2022+), CMake 3.20+, scikit-build-core, pybind11, NumPy.

git clone https://github.com/dliptak001/HypercubeCascade.git
cd HypercubeCascade/python
pip install .

On Windows with MinGW (e.g. CLion toolchain):

pip install scikit-build-core pybind11 numpy
$env:PATH = "C:\path\to\mingw\bin;" + $env:PATH
$env:CMAKE_GENERATOR = "Ninja"
$env:CMAKE_MAKE_PROGRAM = "C:\path\to\ninja.exe"
$env:CC = "C:\path\to\mingw\bin\gcc.exe"
$env:CXX = "C:\path\to\mingw\bin\g++.exe"
pip install . --no-build-isolation

Running tests

From the python/ directory after install:

pip install ".[test]"
pytest tests/ -v --import-mode=importlib

Or from the repository root: pytest python/tests/ -v --import-mode=importlib. Importlib mode avoids the source tree shadowing the installed _core extension. Use the pytest entry point, not python -m pytest — the latter puts the current directory on sys.path, and from python/ the source package (which has no compiled _core) then shadows the installed one.

Examples

The Quick start below is enough after pip install. Longer demos live in the git tree under python/examples/ — they are not part of the wheel. From a clone, repository root:

pip install hypercube-cascade   # or: pip install ./python
python python/examples/synthetic_classification.py

Quick start

import numpy as np
import hypercube_cascade as hc

dim = 7
N = 1 << dim
rng = np.random.default_rng(0)
fields = rng.standard_normal((128, N), dtype=np.float32)
labels = rng.integers(0, 4, size=128, dtype=np.int32)

cas = hc.Cascade(
    dim=dim,
    exciter_subcube_dim=5,
    ic_seed=2,
    readout_num_outputs=4,
    readout_task="classification",
    readout_epochs=80,
)
cas.fit(fields, labels)

print(cas.accuracy_on_collected())  # train-set only — not a test score
print(cas.predict_class(fields[0]))

Explicit (full control)

cas = hc.Cascade(
    dim=6,
    exciter_subcube_dim=5,
    history_depth=4,
    T=50,
    interstage_scale=5.5,
    readout_num_outputs=3,
    readout_task="classification",
)
cas.collect_batch(fields_train, labels_train)
cas.train()
logits = cas.predict(fields_test[0])   # shape (num_outputs,)
cls = cas.predict_class(fields_test[0])
test_acc = cas.accuracy(fields_test, labels_test)  # held-out, fresh maps

fit is clear_collected (optional) → collect_batch → train. Prefer fit for a first pass; use collect/train when you append batches or retrain without re-mapping every field.

What a map is

x  (length-N field, host-packed)
    │
    ▼
 etalon transit  →  × interstage_scale  →  reload frozen IC
    │
    ▼
 drive T re-addressed passes  →  end state × readout_scale
    │
    ▼
 features (N)  →  HypercubeCNN  →  logits / values

N = 2^dim vertices / field length (dim 5…12; one dim for all stages).
Exciter and reservoir weights are frozen after construction; only the readout trains.
Predict always runs a fresh map.
Host packing (MNIST → N, spectra → N, …) is your problem — this package does not reshape domain data onto the cube.

The CNN head never sees the original field; it sees what the transit and the orbit leave behind.

Pipeline vocabulary

Term	Meaning
Field	Length-N float32 vector on the cube (you pack domain data)
Transit	One frozen etalon sweep: field in, same-length field out
Map	Transit → gain → reload frozen IC → T orbit passes → end features
Collect	Run a map → append features + label/target
Train	Batch-train HCNN on all collected samples
Predict	Fresh map + readout forward
N	Vertices / field length = 2^dim
M	`history_depth` — delay-line depth
subcube_dim	Etalon face size; one walk covers 2^subcube_dim vertices
T	Drive-pass count per map (must be ≥ 1 — no auto value)
interstage_scale / readout_scale	The two gains between the stages

Unlike HypercubeWTF there is no readout_slices (B) knob and no train-noise or bypass knob: features are always the newest slice (length N), and noise or bypass comparisons are the host's job.

API reference

Constructor `Cascade(dim, **kwargs)`

All knobs are fixed at construction (same contract as C++ CascadeConfig). One dim is stamped onto the Exciter, the Reservoir, and the Readout.

import hypercube_cascade as hc

cas = hc.Cascade(
    dim=7,                          # required; 5–12; N = 2^dim
    T=100,                          # orbit passes; must be >= 1
    interstage_scale=1.0,           # transit → orbit gain (finite, > 0)
    readout_scale=1.0,              # orbit → readout gain (finite, > 0)
    ic_seed=1,                      # frozen episode IC (not a weight seed)
    collect_threads=0,              # 0 = auto
    exciter_seed=7934791766227647176,
    exciter_input_scaling=0.02,
    exciter_weight_scaling=0.02,
    exciter_subcube_dim=6,          # [1, dim] — set <= dim when dim < 6!
    reservoir_seed=7934791766227647176,
    spectral_radius=0.999,
    reservoir_input_scaling=0.02,
    leak_rate=1.0,
    history_depth=16,               # M
    bias_scaling=0.003,
    verbose=False,
    readout_num_outputs=1,
    readout_task="regression",      # or "classification"
    # … readout_* kwargs below
)

Cascade, exciter, and reservoir

Parameter	Type	Default	Description
`dim`	`int`	required	Hypercube dimension [5, 12]. N = 2^dim, all stages.
`T`	`int`	`100`	Orbit passes per map. Must be ≥ 1 (no `0 = auto`).
`interstage_scale`	`float`	`1.0`	Gain on the transit output before the orbit. Finite, > 0.
`readout_scale`	`float`	`1.0`	Gain on the orbit end state before the readout. Finite, > 0.
`ic_seed`	`int`	`1`	Frozen episode IC seed (separate from both weight seeds).
`collect_threads`	`int`	`0`	Bulk workers: 0 = auto, 1 = serial, K = K workers.
`exciter_seed`	`int`	`7934791766227647176`	Exciter weight-init seed (matches C++).
`exciter_input_scaling`	`float`	`0.02`	Scalar applied once to the field before the transit.
`exciter_weight_scaling`	`float`	`0.02`	Exciter neighbor weights are U(-1, 1) × this.
`exciter_subcube_dim`	`int`	`6`	Etalon face size; walk covers 2^subcube_dim vertices. Valid [1, dim] — the default 6 is rejected below dim 6.
`reservoir_seed`	`int`	`7934791766227647176`	Reservoir weight-init seed (matches C++).
`spectral_radius`	`float`	`0.999`	Target spectral radius for recurrent weights.
`reservoir_input_scaling`	`float`	`0.02`	Reservoir input drive coefficient.
`leak_rate`	`float`	`1.0`	Leaky integrator; 1.0 = full replacement.
`history_depth`	`int`	`16`	Delay-line depth M ∈ [1, 64].
`bias_scaling`	`float`	`0.003`	Per-neuron bias after tanh; 0 disables.
`verbose`	`bool`	`False`	Reservoir construction banner.

Gain tuning: the default injection (interstage_scale=1.0 with reservoir_input_scaling=0.02) is deliberately weak — on many tasks the features come out crushed toward zero and the readout cannot learn. Probe with run(x) + last_reservoir() and raise interstage_scale (the in-tree demos use 1.0–5.5) until the end state is alive.

Readout (HCNN)

Parameter	Type	Default	Description
`readout_num_outputs`	`int`	`1`	Classes (classification) or regression width.
`readout_task`	`str`	`"regression"`	`"regression"` or `"classification"`.
`readout_num_layers`	`int`	`1`	Conv(+Pool) stages. `0` = auto `min(dim−2, 2)`.
`readout_conv_channels`	`int`	`16`	Base channel count for the first conv.
`readout_epochs`	`int`	`200`	Batch-train epochs.
`readout_batch_size`	`int`	`32`	Mini-batch size.
`readout_lr_max`	`float`	`0.0015`	Cosine peak LR. Keep ≤ ~0.005 to avoid NaN.
`readout_lr_min_frac`	`float`	`0.01`	Floor = `lr_max * lr_min_frac`.
`readout_lr_decay_epochs`	`int`	`0`	Cosine horizon; `0` = use `readout_epochs`.
`readout_weight_decay`	`float`	`0.0`	L2 on CNN weights.
`readout_momentum`	`float`	`0.9`	SGD momentum; ignored under the default Adam optimizer.
`readout_activation`	`str`	`"tanh"`	`"tanh"`, `"relu"`, `"leaky_relu"`, or `"none"`.
`readout_seed`	`int`	`42`	CNN weight-init seed.
`readout_num_threads`	`int`	`0`	HCNN workers: 0 = auto, 1 = single-threaded.
`readout_restore_best_epoch`	`bool`	`True`	Restore best-epoch weights after batch train.
`readout_best_epoch_holdout_frac`	`float`	`0.0`	Tail hold-out for best-epoch scoring; 0 = full train set.
`readout_use_pooling`	`bool`	`True`	Antipodal pool after each conv.

Not bound in Python yet (C++ ReadoutConfig only): optimizer choice (C++ default Adam), pool type, channel growth, batch-norm. C++ defaults apply.

Methods

Method	Role
`run(x)`	Map one field (no training-set append). Updates `last_features()` and the stage probes.
`last_features()`	Length-N float32 from the most recent completed map — updated by every map, including bulk calls (last row).
`last_exciter()`	Transit output from the last serial map (`run`, `collect`, `predict`, `predict_class`). Not updated by bulk calls.
`last_interstage()`	Transit × interstage_scale (the orbit drive) — same lifetime as `last_exciter`.
`last_reservoir()`	Orbit end state before readout_scale — same lifetime as `last_exciter`.
`clear_collected()`	Drop the batch training buffer.
`collect(x, target)`	Serial append one sample (label or regression vector).
`collect_batch(fields, targets)`	Bulk parallel append.
`fit(fields, targets, *, clear=True)`	Optional clear → collect → train. Returns `self`.
`train()`	Batch-train HCNN on all collected samples. Does not clear the set.
`predict(x)`	Fresh map + forward → shape `(num_outputs,)` float32.
`predict_class(x)`	Fresh map + argmax class (classification task only).
`accuracy_on_collected()`	Accuracy on the collected training set only.
`r2_on_collected()`	R² on the collected training set only.
`accuracy(fields, labels)`	Fresh bulk maps + accuracy on a held-out set (classification).
`r2(fields, targets)`	Fresh bulk maps + R² on a held-out set (regression).
`save(path)` / `load(path)`	Pickle constructor config + readout weights.
`save_readout_hcnn_model(path_stem)`	Portable `stem.hcnw` + `stem.arch.json`.
`load_readout_hcnn_model(path_stem, *, mode="eval")`	Load HCNW into this instance (`"eval"` or `"resume_train"`).
`readout_arch_summary()`	Human-readable HCNN architecture and parameter counts.

Properties

Property	Meaning
`dim`, `N`, `T`, `M`	Geometry and orbit knobs (N = 2^dim, M = history depth)
`subcube_dim`, `walk_size`	Etalon face dim and 2^subcube_dim
`interstage_scale`, `readout_scale`	The two gains
`feature_size`	Floats per sample / `last_features` — always N
`num_collected`	Samples in the batch training buffer
`num_outputs`	Readout width
`exciter_seed`, `reservoir_seed`, `ic_seed`	The three seeds
`exciter_input_scaling`, `exciter_weight_scaling`	Exciter config mirrors
`spectral_radius`, `realized_spectral_radius`	Target vs post-rescale estimate
`reservoir_input_scaling`, `leak_rate`, `history_depth`, `bias_scaling`	Reservoir config mirrors
`collect_threads`	Bulk-worker preference (0 = auto)
`readout_task`	`"regression"` or `"classification"`
`readout_best_epoch`	1-based best epoch after restore; else 0
`verbose`	Construction banner flag

Input data layout

Fields must be length N per sample. Prefer shape (count, N) for bulk APIs; a flat length count * N vector is also accepted.
Host packing (images, spectra, sensors → N) is outside this package.
Classification labels: integer class indices in [0, num_outputs) (enforced at collect / scoring). Shape (count,) for bulk calls.
Regression targets: shape (count, num_outputs) float32 (or flat count * num_outputs).
Single-sample methods accept any array that ravel-flattens to the right length.

Data types

Role	Preferred type	Notes
Fields / features / predictions	`float32`	Other dtypes converted via NumPy to contiguous float32
Class labels	`int32` (or Python `int`)	Must be in `[0, num_outputs)` (C++ enforces)
Bool as a class label	rejected on serial collect	`collect` raises `TypeError`; use an integer index. Bulk `collect_batch` coerces via int32 (do not rely on bool labels).

Error handling

Python-side checks raise ValueError or TypeError with a short message (bad dim, exciter_subcube_dim, task string, activation, field shape, label count, …). Native std::invalid_argument maps to ValueError; other C++ failures typically surface as RuntimeError via pybind11.

Typical mistakes:

Field length ≠ N
exciter_subcube_dim left at its default 6 with dim 5
T = 0 (there is no auto value — C++ requires T ≥ 1)
interstage_scale / readout_scale zero, negative, or non-finite
Bulk fields / targets row counts disagree
Class label outside [0, num_outputs)
predict_class / accuracy on a regression model
Calling train or accuracy_on_collected with an empty collected set

Model persistence

Mechanism	What is stored	Collected samples?
`save` / `pickle`	Constructor config + readout weight blob	No (`num_collected` is 0 after load)
`save_readout_hcnn_model`	Portable HCNW + arch sidecar	No

Pickle version is bumped when the serialized layout changes; newer libraries reject unknown future versions with an upgrade message.

cas.save("model.pkl")
cas2 = hc.Cascade.load("model.pkl")  # same ctor knobs + weights; empty collect buffer

cas.save_readout_hcnn_model("export/stem")   # stem.hcnw + stem.arch.json
# Target instance must build a matching HCNN input shape / task (same dim and
# readout_* architecture knobs as the exporter — not only dim/outputs).
cas3 = hc.Cascade(
    dim=cas.dim,
    exciter_subcube_dim=cas.subcube_dim,
    history_depth=cas.history_depth,
    readout_num_outputs=cas.num_outputs,
    readout_task=cas.readout_task,
    # plus any non-default readout_num_layers / channels / pooling / …
)
cas3.load_readout_hcnn_model("export/stem", mode="eval")

The preprocessors themselves are never serialized — they reconstruct exactly from the constructor seeds and scalars. A pickle therefore captures the whole product: config in, identical frozen stages out, plus the trained readout.

Prefer save / load when you want a full Python round-trip of the product config. Prefer HCNW when you need a portable HypercubeCNN weight export.

Security: load uses pickle.load. Never load untrusted files.

Limitations

One Cascade instance is not thread-safe for concurrent public calls from multiple host threads. Bulk parallelism is internal only.
accuracy_on_collected / r2_on_collected only score samples you already collected (and typically trained on). Use accuracy / r2 on held-out fields for real evaluation.
last_exciter / last_interstage / last_reservoir are serial-map probes; bulk calls do not update them (last_features is updated by every map).
No train-noise or bypass knob (HypercubeWTF has both); add noise or run comparisons in host code.
A few readout knobs remain C++-only (optimizer, pool type, channel growth, batch-norm); see constructor tables above.
Native contracts, map mechanics, and host integration detail: CPP_SDK.md.

Dependencies

Layer	What
Runtime	NumPy
Wheel install	No compiler
From-source build	Full repo clone, C++23, CMake ≥ 3.20, scikit-build-core, pybind11

The HypercubeCNN readout is built into the extension — no separate HCNN package.

Navigation Menu

HypercubeCascade Python SDK

Contents

Installation

From PyPI (preferred)

From source (full repository)

Running tests

Examples

Quick start

Explicit (full control)

What a map is

Pipeline vocabulary

API reference

Constructor `Cascade(dim, **kwargs)`

Cascade, exciter, and reservoir

Readout (HCNN)

Methods

Properties

Input data layout

Data types

Error handling

Model persistence

Limitations

Dependencies

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HypercubeCascade Python SDK

Contents

Installation

From PyPI (preferred)

From source (full repository)

Running tests

Examples

Quick start

Explicit (full control)

What a map is

Pipeline vocabulary

API reference

Constructor Cascade(dim, **kwargs)

Cascade, exciter, and reservoir

Readout (HCNN)

Methods

Properties

Input data layout

Data types

Error handling

Model persistence

Limitations

Dependencies

Constructor `Cascade(dim, **kwargs)`