Complexity and Complexity Bounds

A fundamental property of the complexity metric developed by Ontonix is that it has bounds – a lower and an upper bound. This means that it cannot assume infinite values (both negative and positive). If it could it wouldn’t be a good metric. All good metrics satisfy the laws of physics For example, a temperature…

Measuring and Tracking Complexity

Jacek Marczyk Ph.D., Balachandra Deshpande Ph.D. (2007) 1.   Introduction The study of complex systems such as the biosphere, gene expression data or the climate, has led to an increased understanding of their behaviour and characteristics and only now are we appreciating their overwhelming complexity. One common denominator of all these systems is, obviously, complexity. However,…

The Challenge of Managing Design Complexity

The complexity of modern products, as well as the associated manufacturing processes, has increased over the past few decades and there is evidence the trend will continue. Complexity means functionality. Consider how many things can be done with smartphones, in addition to making phone calls. Think of automobiles, which can maintain distance from the car…

Complexity: To Model Or not To Model?

The approach to measuring the complexity of a process or system adopted by Ontonix does not rely on models or any modelling techniques: it is a model-free approach. What does this mean? When statisticians or analysts utilize data to build a model, they typically do the following: Clean up the data Find a model which…

QCM Hardware Technology for Edge Computing

For applications requiring ultra-fast on-board monitoring of critical components, systems or infrastructures, Ontonix offers a Complexity And Health Monitoring System (CAHMS) – a device that can be mounted on cars, aircraft, submarines, helicopters or missiles or on any mission-critical equipment and deliver early warning signals of imminent systemic malfunctions. The CAHMS can be interfaced to…

How Complex are Formations of Starlings?

There is a tendency to regard the phrase “the whole is greater than the sum of the parts” as a (sort of) definition of “complex systems” by those who claim to “study complexity”. Curiously enough, the said “complexity scientists” engage in an exercise which, inexplicably, does not contemplate a measure of the object of their…

Complexity Anticipates Ventricular Tachycardia

Tachycardia, also called tachyarrhythmia, is a heart rate that exceeds the normal resting rate. In general, a resting heart rate over 100 beats per minute is accepted as tachycardia in adults. Heart rates above the resting rate may be normal (such as with exercise) or abnormal (such as with electrical problems within the heart). From:…

On Anomaly Types and Anomaly Detection.

Anomaly detection, especially their early detection, is a crucial capability when it comes to operating large complex systems, processes or critical infrastructures. Because it is difficult to make highly complex systems resilient in the face of a multitude of potential often unknown hazards, it is desirable to be able to identify anomalies, malfunctions and attacks…