On the complexity of master problems Emergence on decreasing sandpile models 14:35 Kosolobov Durand, Romashchenko Faster lightweight Lempel-Ziv parsing Quasiperiodicity and non-computability in tilings On the Complexity of Noncommutative Polynomial Factorization

MOTIVATION It is well known that the regulatory regions of genomes are highly repetitive. They are rich in direct, symmetric and complemented repeats, and there is no doubt about the functional significance of these repeats. Among known measures of complexity, the Ziv-Lempel complexity measure reflects most adequately repeats occurring in the text. But this measure does not take into account is...

In current interframe video compression systems, the encoder performs predictive coding to exploit the similarities of successive frames. The Wyner-Ziv Theorem on source coding with side information available only at the decoder suggests that an asymmetric video codec, where individual frames are encoded separately, but decoded conditionally (given temporally adjacent frames) could achieve simi...

The properties of photonic quasicrystals ultimate rely on their inherent long-range order, a hallmark that can be quantified in many ways depending on the specific aspects to be studied. We use the Lempel-Ziv measure, a basic tool for information theoretic problems, to characterize the complexity of the specific structure under consideration. Using the generalized Fibonacci quasicrystals as our...

Wyner-Ziv video coding has been widely investigated in recent years. The main characteristic of Wyner-Ziv coding is that side information is available only to the decoder. Many current Wyner-Ziv video coding schemes encode the sequences using two approaches which separate the frames into what are known as key frames and Wyner-Ziv frames. Key frames are encoded using conventional video coding me...

Detection of ventricular tachycardia (VT) and ventricular fibrillation (VF) is crucial for the success of saving the patient’s life. The complexity of the heart signals has changed significantly when the heart state switches. In this study we proposed a novel method for detection of ventricular fibrillation (VF) and ventricular tachycardia (VT), based upon the Lempel-Ziv complexity and Wavelet ...

The objective was to study changes in EEG time-domain Kolmogorov complexity under different mental fatigue state and to evaluate mental fatigue using Lempel-Ziv complexity analysis of spontaneous EEG in healthy human subjects. EEG data for healthy subjects were acquired using a net of 2 electrodes (Fp1 and Fp2) at PM 4:00, AM 12:00 and AM 3:00 in the 24 hours sleep-deprived mental fatigue exper...