Efficiently impute large scale matrix with missing values via its unbiased low-rank matrix approximation. Our main approach is Hard-Impute algorithm proposed in <https://www.jmlr.org/papers/v11/mazumder10a.html>, which achieves highly computational advantage by truncated singular-value decomposition.

Methods and utilities for causal emergence.
    Used to explore and compute various information theory metrics for networks, such as effective information, effectiveness and causal emergence.

Perform tensor operations using a concise yet expressive syntax inspired by the Python library of the same name.
    Reshape, rearrange, and combine multidimensional arrays for scientific computing, machine learning, and data analysis.
    Einops simplifies complex manipulations, making code more maintainable and intuitive.
    The original implementation is demonstrated in Rogozhnikov (2022) <https://openreview.net/forum?id=oapKSVM2bcj>.

The summation notation suggested by Einstein (1916) <doi:10.1002/andp.19163540702> is a 
  concise mathematical notation that implicitly sums over repeated indices of n-dimensional arrays. Many ordinary
  matrix operations (e.g. transpose, matrix multiplication, scalar product, 'diag()', trace etc.)
  can be written using Einstein notation. The notation is particularly convenient for 
  expressing operations on arrays with more than two dimensions because the 
  respective operators ('tensor products') might not have a standardized name.

Provides EIOPA (European Insurance And Occupational Pensions Authority) risk-free rates. Please note that the author of this package is not affiliated with EIOPA. The data is accessed through a REST API available at <https://mehdiechchelh.com/api/>.

Estimates RxC (R by C) vote transfer matrices (ecological contingency tables) 
             from aggregate data by simultaneously minimizing Euclidean row-standardized 
             unit-to-global distances.
             Acknowledgements:
             The authors wish to thank Generalitat Valenciana, Consellería de Educación, Cultura, Universidades y Empleo (grant CIAICO/2023/031) for supporting this research.