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Local similarity comparison for feature extraction – biologically inspired, zero‑training edge/pattern detection, multi-backend acceleration.

Project description

Cos Comparison

PyPI version Python 3.8+ License: MIT

An AGI-oriented project based on local similarity comparison for feature extraction – biologically inspired, zero-training edge / pattern detection.


Core Idea

Information is produced by local comparison in raw data.
This module implements the centre-surround antagonism mechanism from neuroscience, extracting edges, textures, and keypoints using only sliding-window similarity.

The core formula (cosine-modulated similarity, recommended default):

$$ \text{cosmod} = \frac{2(A \cdot B)}{|A|^2 + |B|^2} $$

  • A step toward biologically plausible AGI
  • No training, no labels, no backpropagation
  • Works on 1D, 2D, 3D, 4D data (audio, images, video, volumetric data)
  • Supports passive (reflexive boundary detection) and active (template matching) modes
  • Three high-performance backends with automatic fallback: Python C extension, ctypes pure C, pure Python
  • Cross-platform support for Windows, Linux, and macOS

Core Principles

  1. Information emerges from local comparison – edges, textures, and patterns arise by comparing neighboring regions.
  2. Centre-surround antagonism – two sliding windows are compared with a fixed displacement vector d, mimicking the response of retinal ganglion cells.
  3. Three complementary similarity measures_cos (angular similarity), _mod (magnitude similarity), _cosmod (recommended balanced combination).
  4. Dual operational modespassive (boundary detection without templates) and active (template matching with a user-supplied kernel).
  5. Multi-scale and multi-directionality – vary window size for scale selection, change d for orientation selectivity (vertical, horizontal, diagonal).
  6. Dimension-agnostic – the same algorithm runs natively on 1D, 2D, 3D, 4D, and higher-dimensional data.
  7. Zero training, zero labels – fully deterministic, ready to use out of the box.
  8. Full determinism and interpretability – every output has a clear geometric meaning.
  9. Modular, pluggable architecture – pure Python reference implementation with two optional high-performance C backends and automatic fallback.

Design Principles

The library adheres to two key design principles:

  • Zero internal dependencies – the core is self-contained and does not rely on any third-party modules. It runs everywhere Python runs.
  • Open integration – a generic hook/interface mechanism is provided, allowing users to seamlessly plug in any external module that conforms to the specified protocols (e.g., GPU/NPU accelerators, custom tensor types, or specialized hardware backends). This keeps the core lightweight while enabling unlimited extensibility.

🚀 What's New in Version 0.3.2

Version 0.3.2 brings full multi-backend support, critical bug fixes, and automatic C backend compilation.

Highlights

  • Three Production Backends – fully supported with automatic fallback:
    • Python C Extension (cos_comparison_pydll) – maximum performance, tight Python integration, selective GIL release for multi-threaded workloads.
    • ctypes C Backend (cos_comparison_c) – pure C implementation with all callbacks executed natively in C, no Python C API dependency, cross-platform compatible.
    • Pure Python (cos_comparison) – zero-dependency reference implementation, guaranteed to work everywhere.
  • Automatic C Compilationsetup.py now automatically compiles both C backends during installation, with graceful fallback to pure Python if compilation fails.
  • Critical Bug Fixes – resolved multiple historical issues in the pure Python implementation:
    • Fixed vector_map_as_tensor indexing system (tuple subtraction error, incorrect multi-dimensional access)
    • Fixed _build_ones kernel generation logic (incorrect recursion producing wrong-shaped kernels)
    • Fixed parameter checking for default_contain infinite-dimension containers
    • Fixed create_void_list generator parameter handling
  • Complete Callback System – all backends now support the full callback lifecycle: start_callback, end_callback, local_error_callback, global_error_callback, return_callback
  • Numerical Consistency – all three backends produce bit-identical results (within floating-point precision) for all operations
  • Full Local Statistics Supportmean_local and local_variance are now implemented natively in both C backends

Backend Performance Comparison

Backend Relative Speed Peak Memory Status
Python C Extension 100–200× ~5–8 MB ✅ Stable
ctypes C Backend 50–100× ~8–12 MB ✅ Stable
Pure Python ~22 MB ✅ Stable

Note: Memory measurements are based on a 424×322×3 test image with a 3×3 window. C backend memory is estimated from process working set measurements, as tracemalloc cannot track C-level allocations. All C backends automatically fall back to pure Python if compilation or loading fails,and are all added free-thread support.

⚠️ Breaking Changes

1. NumPy backend removed
Introducing a dedicated NumPy backend added unnecessary complexity and potential supply-chain risk. The core now natively supports NumPy arrays (and any type implementing __index__ and __len__, such as PyTorch tensors) via the duck-typing protocol, without requiring a separate backend.

2. Spelling errors corrected
All historical misspellings (e.g., genrategenerate) have been fixed throughout the codebase and documentation.


⚠️ Migration Guide from 0.2.x

Starting from version 0.2.0, the package has been restructured.
All core functions now reside in the core submodule.

Correct import statement:

from cos_comparison import core

Legacy code using import cos_comparison as cc will not work with 0.3.0. Please update your imports accordingly.


Installation

pip install cos-comparison

The installer will automatically attempt to compile both C backends during installation. If a C compiler is not available on your system, installation will complete successfully with the pure Python backend only.

To install with optional test dependencies:

pip install cos-comparison[test]

Manual Compilation

If you need to recompile the C backends after installation (e.g. after changing compiler settings):

# From the project root directory
python setup.py build_ext --inplace

This will build both the Python C extension and the ctypes shared library.


Quick Start

1D – detect discontinuities (passive mode)

from cos_comparison import core

data = [1.0, 2.0, 3.0, 4.0, 5.0]
result = core.cos_comparison_passive_1d(
    data,
    window_size=(2,),
    step=(1,),
    d=(1,)
)
print(result)

2D – edge detection (passive mode)

from cos_comparison import core

image = [
    [1, 1, 0, 0],
    [1, 1, 0, 0],
    [0, 0, 1, 1],
    [0, 0, 1, 1]
]
edges = core.cos_comparison_passive_2d(
    image,
    window_size=(2, 2),
    step=(1, 1),
    d=(1, 0)
)
print(edges)

Active mode – template matching

from cos_comparison import core

data = [1.0, 2.0, 3.0, 4.0, 5.0]
kernel = [1.0, 0.0]
result = core.cos_comparison_active_1d(
    data,
    kernel=kernel,
    step=(1,)
)
print(result)

Whole-tensor cosine similarity

from cos_comparison import core

a = [1, 2, 3]
b = [2, 3, 4]
sim = core.cos_1d(a, b)
print(sim)

Using the recommended _cosmod similarity measure

from cos_comparison import core

result = core.cos_comparison_passive_1d(
    data,
    window_size=(2,),
    step=(1,),
    d=(1,),
    algorithm=core._cosmod
)

Multi-Backend System

The package provides a sophisticated multi-backend manager that automatically selects the fastest available backend while maintaining a unified API.

Default Backend Priority

Priority Backend Implementation Performance Status
1 cos_comparison_pydll Python C Extension 100–200× ✅ Stable
2 cos_comparison_c ctypes Pure C Backend 50–100× ✅ Stable
3 cos_comparison Pure Python ✅ Stable

Key Features

  • Automatic fallback – if a higher-priority backend is unavailable, the system automatically falls back to the next option.
  • Runtime switching – manually switch backends at any time during execution.
  • Unified API – all backends expose exactly the same interface.
  • Configuration flexibility – control backend priority via a config file or environment variable.
  • Zero-dependency guarantee – the pure Python backend always works, no compilation required.

Switching Backends

from cos_comparison import core

# Check current backend configuration
backends = core.get_available_backends()
print(backends)

# Force pure Python mode (useful for debugging)
core.set_mode("cos_comparison")

# Multiple backends (tried in specified order)
core.set_mode(["cos_comparison_pydll", "cos_comparison_c", "cos_comparison"])

# Enable ctypes backend only
core.set_mode(["cos_comparison_c", "cos_comparison"])

Environment Variable

# Unix
export COS_BACKEND=cos_comparison_pydll,cos_comparison_c,cos_comparison

# Windows
set COS_BACKEND=cos_comparison_pydll,cos_comparison_c,cos_comparison

API Overview

Passive mode (self-similarity / edge detection)

  • cos_comparison_passive_1d / _2d / _3d / _4d + generic N-dimensional cos_comparison_passive

Active mode (template matching)

  • cos_comparison_active_1d / _2d / _3d / _4d + generic N-dimensional cos_comparison_active

Whole-tensor similarity measures

  • cos_1d / _2d / _3d / _4d (cosine similarity)
  • mod_1d / _2d / _3d / _4d (magnitude similarity)
  • cosmod_1d / _2d / _3d / _4d (cosine-modulated similarity, recommended)

Local statistics (sliding window)

  • mean_local_1d / _2d / _3d / _4d
  • local_variance_1d / _2d / _3d / _4d

Generic helpers

  • cos(A, B, algorithm=core._cos) – works on arbitrarily nested lists and array-like objects.
  • execute_many(func, arg_iter, kwarg_iter) – batch execution (returns a list).
  • execute_many_iter(func, arg_iter, kwarg_iter) – batch execution (lazy generator).

Performance & Memory Benchmarks

Benchmark results for all three backends using a 322×424×3 RGB test image.
All tests were run with the same parameter grid: 3 window sizes, 3 offsets, and 3 similarity algorithms (27 combinations total).
Test environment: Windows 11 x64, 18-thread CPU, Python 3.14.6, JIT enabled, MSVC -O2 optimization.

Note: Memory figures for C backends are estimated because tracemalloc cannot track C-level allocations. Figures are derived from process-level working set measurements.


⏱️ Execution Time (27-run average)

Backend 3×3 window (s) 5×5 window (s) 7×7 window (s) Total (27 runs) Speedup vs Python
Pure Python 7.31 18.80 28.00 486.8 s
ctypes C Backend 0.142 0.358 0.682 10.9 s ~45×
Python C Extension 0.088 0.213 0.407 6.35 s ~77×
  • Algorithm choice (cos / mod / cosmod) has negligible impact (<5%) on execution time.
  • Window size is the dominant factor – larger windows increase execution time proportionally.
  • The C extension provides approximately 77× speedup over pure Python for typical workloads.

🧠 Memory Usage (peak working set)

Backend Average peak memory Notes
Pure Python ~21.5 MB Stable across all parameter combinations
ctypes C Backend ~8–12 MB (estimated) C-allocated memory, minimal Python overhead
Python C Extension ~5–8 MB (estimated) Tightest integration, lowest memory usage
  • Memory usage is largely independent of window size, offset, or algorithm choice.
  • The pure Python backend uses a fixed ~21–22 MB for the standard test image.
  • The C extension is extremely memory-efficient, allocating only the minimal required output tensor.

✅ Output Consistency

All three backends produce numerically identical output values (within floating-point precision) for every parameter combination – verifying that the core algorithm is correctly implemented across all backends.


📊 Full Raw Data

Complete CSV results (time and memory for all 27 combinations) are available in the tests/ directory:

  • test_python.txt, test_pydll.txt, test_ctypes.txt – performance timing data
  • memory_python.txt, memory_pydll.txt, memory_ctypes.txt – memory usage data
  • out_*.txt – execution logs with saved heatmap output paths

🧪 How to Reproduce

# Performance test (all available backends)
python tests/test_performance.py --image tests/testdata/image_20260408.png --repeat 3 --output results.csv

# Memory test
python tests/test_memory.py --image tests/testdata/image_20260408.png --output memory.csv

Benchmarks run on a standard x86-64 CPU. Your results may vary depending on hardware, compiler optimizations, and operating system.


Author

I was born on May 31, 2008, and I feel fortunate to grow up in an era of rapid progress in artificial intelligence.

I have run extensive tests and observed many surprising emergent properties in the outputs. Earlier versions of this project contained numerous issues, as examination-oriented education left me limited time for thorough testing. I now have the opportunity to properly test, refine, and polish this work.

There remains a long road ahead to achieve true general artificial intelligence. I may be forced to set aside this research due to personal circumstances, but I do not want these ideas to fade away unnoticed. The purpose of open-sourcing this project is to share my thoughts, in the hope that others may build upon them and continue this line of inquiry.


Next Steps

  1. Introduce a formal extension interface in the core, allowing users to plug in GPU, NPU, or other custom accelerators.
  2. Complete the remaining cognitive submodules, working toward a simple but functional embodied AI agent.

License

MIT © 2026 Li Jinxin. See LICENSE for details.

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