Data-based guarantees of set invariance properties

Detectability and Invariance Properties for Set Dynamical Systems ?

Invariance properties and convergence of solutions of set dynamical systems are studied. Using a framework for systems with set-valued states, notions of stability and detectability, similar to the existing results for classical dynamical systems, are defined and used to obtain information about the convergence properties of solutions. In particular, it is shown that local stability, detectabil...

Evaluation of Soil Quality Based on Minimum Data Set in Karvan Rangeland, Isfahan, Iran

Plant life and food production for human closely depend on fertile and healthy soil. Knowledge about qualitative properties of soil and its potential production can contribute us in the plantation, fertilization, utilization and land management. In addition, Rangelands cover a very large portion of the earth's surface and play an important role in food security and other ecosystem services. The...

Overlap Set Similarity Joins with Theoretical Guarantees

This paper studies the set similarity join problem with overlap constraints which, given two collections of sets and a constant c , �nds all the set pairs in the datasets that share at least c common elements. This is a fundamental operation in many �elds, such as information retrieval, data mining, and machine learning. The time complexity of all existing methods is O (n2) where n is the total...

Invariance of the Efficient Set - Comment

Invariance Properties of Random Sequences

We present invariance characterizations of di erent types of random sequences. We correct Schnorr's original, incorrect characterization of Martin-L of random sequences, compare it with Schnorr's corresponding characterization of his own randomness concept, and give a similar, new chararacterization of Kurtz random sequences. That is, we show that an in nite sequence is Kurtz random if and onl...