In today’s world of technology, artificial intelligence (AI) seems to be rising like a new star in the sky of innovation. It promises to fundamentally change the way we live, work and interact. But a closer look reveals that AI is actually based on old foundations – the principles of statistics and stochastics. These mathematical disciplines, which have been around for centuries, are the unseen architects behind the scenes of modern AI systems.
Statistics and stochastics are closely linked. Stochastics comprises the theory of probability and statistics, which deals with the analysis and interpretation of data. The foundations of modern probability theory were laid back in the 17th century through the exchange between Blaise Pascal and Pierre de Fermat. Another milestone was Jacob Bernoulli’s work “Ars Conjectandi” from 1713, which systematically dealt with the theory of probabilities [source: 3].
Statistics developed in parallel and became an indispensable tool in many sciences. It makes it possible to draw conclusions about underlying patterns and structures from data. This is done by applying statistical methods based on probability models [source: 1].
Artificial intelligence was established as an independent field of research at the Dartmouth Conference in 1956. This conference marked the beginning of a new era in AI technology, although the idea of machines capable of performing human intelligence had already existed [source: 3]. Alan Turing’s famous paper “Computing Machinery and Intelligence” from 1950 had laid the foundation for this.
Modern AI is based to a large extent on the principles of statistics and stochastics. These disciplines provide the mathematical tools to analyze complex data sets and make predictions. AI systems use algorithms based on statistical models to learn from data and make decisions.
One example of this is machine learning algorithms that recognize patterns and make predictions based on training data. These algorithms are ultimately nothing more than an application of statistical methods based on probability calculations. They enable AI systems to adapt to new situations and learn from experience.
The phrase “old wine in new bottles” describes the situation in which old ideas are presented in new packaging [source: 5]. This also applies to AI. The underlying principles are not new; they are based on centuries-old mathematical concepts. What is new is the ability to apply these principles with unprecedented speed and efficiency through modern computer technology.
The dramatic increase in computing power has made it possible to develop complex models that can learn and make decisions in real time. This has revolutionized a wide range of industries, from medicine to the automotive industry [source: 3].
Statistics play a crucial role in the development and application of AI systems. It enables the quality of data to be assessed, studies to be planned and results to be interpreted. Statisticians are able to distinguish between causality and correlation, which is crucial in AI to ensure that the systems make correct decisions [source: 2].
One example of this is autonomous driving technology. Here, AI systems must be able to analyze complex amounts of data and make decisions in real time. Statistical methods help to ensure the safety and reliability of these systems by evaluating the uncertainty in the results and ensuring that the systems are prepared for realistic scenarios [source: 2].
Artificial intelligence may seem like a revolutionary technology at first glance, but a closer look reveals that it is based on the old foundations of statistics and stochastics. These mathematical disciplines are the driving force behind the scenes of modern AI systems. However, the ability to apply these principles with speed and efficiency has changed the world.
The phrase “old wine in new bottles” aptly describes this situation. The underlying ideas are not new, but the way they are applied today is. The future of AI will continue to be shaped by advances in statistics and stochastics, and it is important to develop these disciplines further in order to realize the full potential of AI.
Overall, AI is therefore not just a new technology, but rather a further development of old principles with new tools. It shows us that mathematics, especially statistics and stochastics, continue to form the basis for many innovations.