ITIP

ITIP is a piece of software running on MATLAB for verifying all Shannon-type information inequalities, namely those implied by the nonnegativity of Shannon’s information measures. The theory is described in [2]. We also refer the readers to the tutorial paper [5] and the textbook [6]. We note that there exist established information inequalities which cannot be proved by ITIP. These are called non-Shannon-type inequalities. Examples are the ones reported in [3] and [4].


References in zbMATH (referenced in 34 articles )

Showing results 1 to 20 of 34.
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  1. Cheng, Siu-Wing; Jin, Kai; Yan, Lie: Extensions of self-improving sorters (2020)
  2. Santibañez, Felipe; Silva, Jorge F.; Ortiz, Julián M.: Sampling strategies for uncertainty reduction in categorical random fields: formulation, mathematical analysis and application to multiple-point simulations (2019)
  3. Matúš, František: Classes of matroids closed under minors and principal extensions (2018)
  4. Matveev, Rostislav; Portegies, Jacobus W.: Asymptotic dependency structure of multiple signals (2018)
  5. Nair, Ranjith: Fundamental quantum limits in optical metrology from rate-distortion theory (2018)
  6. Csirmaz, László: Using multiobjective optimization to map the entropy region (2016)
  7. Hu, Hang; Zhang, Hang; Yu, Hong: Energy-efficient sensing for delay-constrained cognitive radio systems via convex optimization (2016)
  8. Li, Yao; Yi, Yingfei: Systematic measures of biological networks. II: Degeneracy, complexity, and robustness (2016)
  9. Bonmati, Ester; Bardera, Anton; Boada, Imma; Feixas, Miquel; Sbert, Mateu: Hierarchical clustering based on the information bottleneck method using a control process (2015)
  10. Ha, Jihyun; Seok, Seulgi; Lee, Jong-Seok: A precise ranking method for outlier detection (2015)
  11. Yeung, Raymond W.: Facets of entropy (2015)
  12. Cohen, Asaf; Dolev, Shlomi; Leshem, Guy: Sensor networks: from dependence analysis via matroid bases to online synthesis (2014)
  13. Dȩbowski, Łukasz: On hidden Markov processes with infinite excess entropy (2014)
  14. Gupta, Nitin; Bajaj, Rakesh Kumar: On partial monotonic behaviour of some entropy measures (2013)
  15. Latorre Carmona, Pedro; Martínez Sotoca, José; Pla, Filiberto: Filter-type variable selection based on information measures for regression tasks (2012)
  16. Li, Yao; Dwivedi, Gaurav; Huang, Wen; Kemp, Melissa L.; Yi, Yingfei: Quantification of degeneracy in biological systems for characterization of functional interactions between modules (2012)
  17. Shangari, Dhruv; Chen, Jiahua: Partial monotonicity of entropy measures (2012)
  18. Chan, Terence: Recent progresses in characterising information inequalities (2011)
  19. Khan, Hassan; Mirza, Fauzan; Khayam, Syed Ali: Determining malicious executable distinguishing attributes and low-complexity detection (2011) ioport
  20. Kopparty, Swastik; Rossman, Benjamin: The homomorphism domination exponent (2011)

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Further publications can be found at: http://user-www.ie.cuhk.edu.hk/~ITIP/refer.html