Complexity: A Link Between Science and Art?

Serious science starts when you begin to measure. According to this philosophy we often apply our complexity technology in attempts to measure intangible entities, phenomena or situations that so far haven’t been quantified in rigorous scientific terms. Of course we can always apply our subjective perceptions of the reality that surrounds us so as to classify and rank, for example, beauty, sophistication, stress, workload, etc. Based on our perceptions we make decisions, we select strategies, we make investments. When it comes to actually measuring certain perceptions complexity may be a very useful proxy.

Let’s consider, for example, art. Let’s suppose that we wish to measure the amount of pleasure resulting from the contemplation of a work of art, say a painting. We postulate the following conjecture: the pleasure one experiences when contemplating a work of art is proportional to its complexity. This is of course a simple assumption but it will suffice to illustrate the main concept of this short blog. Modern art produces often paintings which consist of a few lines or splashes on a canvas. You just walk past. When, instead, you stand in front of a painting by, say, Rembrandt van Rijn, you experience awe and admiration. Now why would that be case? Evidently, painting something of the caliber of The Night Watch is not matter of taking a spray gun and producing something with the aid of previous ingested chemical substances.

We have measured the complexity of paintings by Leonardo da Vinci and Rembrandt. The results are reported below without further comments.



Just out of curiosity, we run a Picasso:

The result was C=50.

Established originally in 2005 in the USA, Ontonix is a technology company headquartered in Como, Italy. The unusual technology and solutions developed by Ontonix focus on countering what most threatens safety, advanced products, critical infrastructures, or IT network security - the rapid growth of complexity. In 2007 the company received recognition by being selected as Gartner's Cool Vendor. What makes Ontonix different from all those companies and research centers who claim to manage complexity is that we have a complexity metric. This means that we MEASURE complexity. We detect anomalies in complex defense systems without using Machine Learning for one very good reason: our clients don’t have the luxury of multiple examples of failures necessary to teach software to recognize them. We identify anomalies without having seen them before. Sometimes, you must get it right the first and only time!

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