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Algorithms

A computer scientist is expanding the limits of geometry.

Justin Solomon, an associate professor at the Massachusetts Institute of Technology (MIT) Department of Electrical Engineering and Computer Science, is applying modern geometric techniques to solve complex problems in machine learning, data science, and computer graphics. He leads the Geometric Data Processing Group, half of which works on optimizing two- and three-dimensional geometric data in…

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An adaptable approach to assist creators in enhancing animation.

A group of MIT researchers have developed a technique that will allow artists better control over their 3D animations. The method uses mathematical functions known as barycentric coordinates, allowing 3D shapes to be manipulated. This offers more flexibility than traditional animation methods, which require starting from scratch for every change in animation. The developed method…

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A technology scholar is expanding the horizons of geometric study.

Justin Solomon, based at MIT's Department of Electrical Engineering and Computer Science and a member of the Computer Science and Artificial Intelligence Laboratory, is using modern geometric techniques to solve a wide range of mathematical and AI problems. Drawing on the principles of ancient geometry, Solomon's work has applications from autonomous vehicles identifying pedestrians using…

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A computer science expert is expanding the frontiers of geometry.

Over 2,000 years ago, Greek mathematician Euclid, often called the father of geometry, revolutionized the understanding of shapes. In today's technological era, a 21st-century geometer, Justin Solomon, uses sophisticated techniques to solve complex problems related to shapes but often unrelated to them. Solomon applies geometry to study datasets for comparing their effectiveness in machine learning…

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A computational expert advances the frontiers of geometric studies.

Over 2,000 years ago, Euclid, the Greek mathematician, laid the foundation of geometry and altered our perception of shapes. Justin Solomon, inspired by Euclid's work, applies modern geometric techniques to resolve challenging problems that may not appear related to shapes. As an associate professor at the MIT Department of Electrical Engineering and Computer Science and…

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A computer scientist expands the dimensions of geometry.

Justin Solomon, an Associate Professor in the Massachusetts Institute of Technology (MIT)'s Department of Electrical Engineering and Computer Science (EECS) and member of the Computer Science and Artificial Intelligence Laboratory (CSAIL), is leveraging geometric techniques to tackle complex problems in data science. Quite often, these problems are seemingly unrelated to shapes. For example, when a…

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A software engineer is challenging the limits of geometry.

Using the principles of geometry, Justin Solomon, an associate professor in MIT's Department of Electrical Engineering and Computer Science, is tackling complex problems in data science and computer graphics. Building on Euclid’s ancient foundations of geometry, Solomon is leveraging geometric techniques to solve problems that are seemingly unrelated to shapes. He asserts that the language…

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An improved, more efficient method to inhibit AI chatbots from delivering harmful responses.

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A computer programmer expands the limits of geometric concepts.

Over two millennia ago, Greek mathematician Euclid laid the groundwork for the modern understanding of geometry. Today, that work serves as the bedrock for researchers like Justin Solomon, who uses geometry to address complex problems - many of which seem unrelated to shapes at first glance. Solomon is an associate professor at MIT's Department of…

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A computer scientist is expanding the limits of geometry.

Mathematician Justin Solomon is using modern geometric techniques to solve complex problems, often unrelated to shapes. He explains that geometric tools can be used to compare datasets, providing insight into the performance of machine-learning models. He asserted the significance of distance, similarity, curvature, and shape, all derived from geometry, in discussing data. His Geometric Data…

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