canonical-transformer 1.0.1

A Python module for preserving structural isomorphisms across data transformations, ensuring reversible and type-stable conversions between formats like DataFrame, JSON, and dict.

Canonical Transformer v1.0.0

A Python module for ensuring structural isomorphism and commutative consistency across data transformations.
This toolkit provides mathematically reversible mappings between pandas.DataFrame, dict, CSV, and JSON formats—preserving data structure, types, and semantics regardless of transformation order.

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Features

Isomorphism Guarantees

• Bijective Mappings: Each transformation has a unique and total inverse
• Structure Integrity: Index, column types, and ordering are preserved
• Semantic Equivalence: Original data meaning remains unchanged

Commutative Transformations

• Order-Invariance: A → B → C ≡ A → C → B
• Round-trip Identity: T⁻¹ ∘ T(x) = x for all supported types
• Transformation Algebra: Composition, associativity, identity supported

Supported Formats

• pandas.DataFrame ↔ dict ↔ CSV ↔ JSON
• Full interoperability under unified transformation rules
• Automatic type casting and structural validation

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Core Capabilities

df → dict → csv → json → df      # Exact round-trip equivalence
dict → csv → json → df → dict   # Commutative, isomorphic recovery

These transformations preserve:

• Data fidelity (values and types)
• Index and column structure
• Missing value handling (e.g., NaN ≈ None)

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Installation

pip install canonical-transformer==1.0.0

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Quick Start

from canonical_transformer import *

df = pd.DataFrame({
    'id': [1, 2, 3],
    'name': ['Alice', 'Bob', 'Charlie'],
    'value': [10.5, -20.3, 30.0]
})

# Commutative round-trip transformation
df2 = map_json_to_df(
           map_csv_to_json(
               map_data_to_csv(
                   map_df_to_data(df), '.', 'out.csv'
               ), '.', 'out.csv'))

assert df.equals(df2)  # True

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Mathematical Properties

Isomorphism

• Injectivity: Each input maps to a unique output
• Surjectivity: All outputs can be traced back to inputs
• Bijectivity: Reversible one-to-one mapping

Commutativity

• Order Independence: Transformations commute
• Associativity: Grouping doesn’t affect result
• Identity: T⁻¹ ∘ T = id

Homomorphism

• Structure Preservation: Index, type, ordering maintained
• Format Standardization: Consistent formatting across outputs

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📦 Requirements

• Python >= 3.6
• pandas >= 2.2.3
• python-dateutil >= 2.9.0
• pytz >= 2024.2
• typing_extensions >= 4.12.2

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📈 Version History

v1.0.0

• Structural isomorphism guaranteed
• Bidirectional reversible transformations
• Full commutative consistency
• Format and type standardization

v0.2.x

• Number formatting utilities
• Sign-preserving float formatting

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👤 Author

June Young Park
AI Systems Architect @ LIFE Asset Management
📧 [e-mail]
📍 TWO IFC, Yeouido, Seoul

LIFE Asset Management is a hedge fund management firm that integrates value investing and engagement strategies with quantitative modeling and AI infrastructure.

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📖 License

MIT License – see LICENSE file for details.

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