While there exist many possible ways to triangulate a set of points, the most common method for TINs is the Delaunay triangulation. This is because Delaunay triangulations tend to produce more regular tessellations that are better suited to interpolation. In theory, we can represent our colour palette as a TIN by computing the 3D Delaunay triangulation of the colours in colour space. The nice thing about this is that it makes finding an enclosing simplex much faster; the candidate selection process is simply a matter of determining the enclosing tetrahedron of an input point within the network using a walking algorithm, and taking the barycentric coordinates as the weights.
Beyond the funding round, OpenAI has announced strategic partnerships with both NVIDIA and Amazon. This will involve Amazon Web Services (AWS) running OpenAI models for enterprise customers to "build generative AI applications and agents at production scale." It also names AWS as the exclusive third-party cloud distribution provider for OpenAI Frontier, which is an agentic enterprise platform.
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OK, this one got me. My dear friends got married to a string cover of Taylor Swift's "Enchanted" and I can't hear it without bursting into happy tears. This exquisite Bridgerton cover by Joseph William Morgan appears in a heart-wrenching moment in episode 2 when Sophie spies on Benedict paying a visit to someone who isn't her. Friends, Swift's lyrics are basically the storyline of Season 4, I don't know what else to tell you.