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README.md
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'2': '2'
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splits:
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- name: train
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num_bytes: 22400000
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num_examples: 800000
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- name: test
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num_bytes: 5600000
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num_examples: 200000
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download_size: 21446572
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dataset_size: 28000000
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configs:
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- config_name: default
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data_files:
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- split: train
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path: data/train-*
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- split: test
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path: data/test-*
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license: mit
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task_categories:
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- tabular-classification
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language:
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- en
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tags:
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- synthetic
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- sparse-learning
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- classification
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size_categories:
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- 100K<n<1M
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# is_sparse/sparse5d
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## Dataset Description
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This is a synthetic 5-dimensional classification dataset designed for sparse learning research.
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The dataset contains 3 classes and is specifically designed to have sparse optimal representations,
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where only a subset of features are informative for the classification task.
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### Dataset Summary
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- **Variant**: sparse5d
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- **Features**: 5 continuous features
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- **Classes**: 3
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- **Entropy(Y)**: 1.4855
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- **Mutual Information (joint)**: 1.1819
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- **Maximum Achievable Accuracy**: 0.8967
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### Supported Tasks
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- `tabular-classification`: The dataset can be used to train models for multi-class classification tasks.
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- Sparse learning research: Study the effectiveness of feature selection and sparse representation learning.
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- Mutual information estimation: Benchmark MI estimation algorithms using the provided ground-truth MI values.
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## Dataset Structure
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### Data Instances
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Each instance consists of:
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- `data`: A 5-dimensional feature vector (float32)
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- `label`: An integer class label (0, 1, or 2)
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### Data Splits
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| Split | Number of Instances |
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|-------|---------------------|
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| Train | Variable (see below) |
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| Test | Variable (see below) |
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## Dataset Creation
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This dataset was synthetically generated for research on sparse learning and optimal feature selection.
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The mutual information values between feature subsets and labels are provided in the metadata.
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### Mutual Information Structure
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The dataset includes ground-truth mutual information values for various feature subsets, enabling:
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- Feature importance analysis
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- Information-theoretic learning algorithms
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- Benchmarking of MI estimation methods
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Key MI values:
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- joint: 1.1819
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- 1: 0.3273
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- 1-2: 0.3273
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- 1-2-3: 0.6634
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- 1-2-3-4: 0.6634
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- 1-2-3-4-5: 1.1819
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- 1-2-3-5: 1.1819
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- 1-2-4: 0.3273
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- 1-2-4-5: 1.0492
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- 1-2-5: 1.0492
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## Citation
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If you use this dataset, please cite the associated research paper (to be added).
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## License
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MIT License
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