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  ---
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- dataset_info:
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- features:
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- - name: data
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- list: float32
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- length: 5
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- - name: label
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- dtype:
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- class_label:
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- names:
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- '0': '0'
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- '1': '1'
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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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  ---
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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  ---
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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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  ---
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+
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+ # is_sparse/sparse5d
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+
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+ ## Dataset Description
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+
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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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+
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+ ### Dataset Summary
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+
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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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+
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+ ### Supported Tasks
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+
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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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+
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+ ## Dataset Structure
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+
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+ ### Data Instances
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+
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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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+
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+ ### Data Splits
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+
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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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+
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+ ## Dataset Creation
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+
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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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+
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+ ### Mutual Information Structure
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+
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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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+
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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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+
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+ ## Citation
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+
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+ If you use this dataset, please cite the associated research paper (to be added).
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+
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+ ## License
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+
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+ MIT License