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IP Theft Detection — Paired Approximate Multiplier Dataset
Dataset Summary
This dataset supports the detection of intellectual property (IP) theft in approximate circuits. Each sample is a pair of 8-bit approximate multipliers represented as 256×256 error heat maps. The binary label indicates whether one multiplier was derived (obfuscated) from the other, enabling a Siamese-network-based similarity learning task.
Dataset Structure
Files
| File | Split | Description |
|---|---|---|
pairs_data.pkl.gz |
all | Full paired dataset |
train_data.pkl.gz |
train | Training split |
val_data.pkl.gz |
val | Validation split |
test_data.pkl.gz |
test | Test split |
All files are gzip-compressed pandas DataFrames (.pkl.gz).
Columns
| Column | Type | Description |
|---|---|---|
chrom1 |
string / array | CGP chromosome encoding of multiplier 1 |
chrom2 |
string / array | CGP chromosome encoding of multiplier 2 |
multiplier1 |
identifier | Identifier of multiplier 1 |
multiplier2 |
identifier | Identifier of multiplier 2 |
same |
int (0/1) | Label. 1 if mult2 was derived from mult1 (IP theft), 0 otherwise |
feat1 |
ndarray (256, 256) | Error heat map for multiplier 1 |
feat2 |
ndarray (256, 256) | Error heat map for multiplier 2 |
Error Heat Map
Each heat map is the arithmetic error surface of an 8-bit approximate multiplier over all 256×256 input combinations:
feat[a, b] = circuit(a, b) − a × b for a, b ∈ {0, …, 255}
The circuit is evaluated using UnsignedCGPCircuit from the ariths_gen library:
from ariths_gen.core.cgp_circuit import UnsignedCGPCircuit
c = UnsignedCGPCircuit(chrom, [8, 8])
out = c(a, b)
diff = out - a * b # element at position (a, b) in the heat map
Label Definition
A pair (mult1, mult2) is labelled same = 1 when mult2 was produced by obfuscating mult1 (e.g. gate-level modifications that preserve approximate behaviour while disguising provenance). Pairs with same = 0 are unrelated multipliers sampled from the same design space.
Loading the Dataset
import pandas as pd
df = pd.read_pickle("data/pairs_data.pkl.gz")
# Access a heat map pair
feat1 = df["feat1"].iloc[0] # shape (256, 256)
feat2 = df["feat2"].iloc[0] # shape (256, 256)
label = df["same"].iloc[0] # 0 or 1
Intended Use
- Training and evaluating Siamese / contrastive learning models for circuit fingerprinting
- Benchmarking approximate-circuit similarity metrics
- Research on IP protection in approximate computing
Out-of-Scope Use
- Direct deployment as a production IP-theft detection system without further validation
- Generalisation claims beyond 8-bit unsigned multipliers without additional experiments
Source & Provenance
Circuits are Cartesian Genetic Programming (CGP) encodings of 8-bit unsigned approximate multipliers generated with the ariths_gen framework. Obfuscated variants were derived programmatically from originals to simulate IP theft scenarios.
Citation
@inproceedings{sekanina2026obfax,
author = {Lukas Sekanina and Vojtech Mrazek},
title = {{ObfAx}: Obfuscation and {IP} Piracy Detection in Approximate Circuits},
booktitle = {Proceedings of the Great Lakes Symposium on VLSI (GLSVLSI)},
year = {2026},
doi = {10.1145/3787109.3815215}
}
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