Spacetime is a conceptual model that fuses the three dimensions of space (length, width, and breadth) with the fourth dimension of time. By doing so, a four-dimensional geometric object is created. Researchers have recently used a similar way of thinking to study AI environments, leading to a unique reframing of AI problems in geometric terms.
Dr. Thomas Burns, a Ph.D. graduate and Visiting Researcher at the Okinawa Institute of Science and Technology (OIST), and Dr. Robert Tang, a mathematician at Xi’an Jiaotong-Liverpool University and a former post-doctoral researcher at OIST, wanted to study AI systems from a geometric perspective to more accurately represent their properties.
They have determined that the occurrence of a “geometric defect,” a failure of what is called Gromov’s Link Condition, correlates exactly to where there is potential for collision between moving AI agents. Their findings have been published in the journal Transactions on Machine Learning Research.
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