What is a Vector Database? A vector database is an organized collection of vector embeddings that can be created, read, updated, and deleted at any point in time. Vector embeddings represent chunks of data, suc
This simple algebraic method is a modern version of an idea that goes back to Ren茅 Descartes and that has been largely forgotten. Moving beyond algebra, the need for new analytic concepts based on completeness, continuity, and limits becomes clearly visible to the reader while investigating ...
Matrix factorization and matrix decomposition both refer to the process of breaking down a matrix into two or more simpler matrices. Matrix decomposition, however, is a broader term that encompasses various decomposition techniques, such as SVD, LU decomposition, Cholesky decomposition, QR decomposition...
One of the key advantages of Greedy algorithms is their simplicity and speed. They can often provide a good approximation to the optimal solution in a relatively short amount of time. However, they do not always guarantee an optimal solution and may only provide an approximate solution that is ...
(PWA) on polyhedra. In other words, the constraints divide the state space into polyhedral "critical" regions in which the optimal control action is an affine (linear plus a constant) function of the state. The idea behind explicit MPC is to precalculate, offline and once for all, these ...
function. The surrogate is useful because it takes little time to evaluate. So, for example, to search for a point that minimizes an objective function, simply evaluate its surrogate on thousands of points, and take the best value as an approximation to the minimizer of the objective function...
In 2024, Artificial Intelligence (AI) hit the limelight with major advancements. The problem with reaching common knowledge and so much public attention so quickly is that the term becomes ambiguous. While we all have an approximation of what it means to “use AI” in something, it’s not ...
QuantumATK implements the moment-tensor-potential (MTP) class of ML-FFs, which is a modern, state-of-the-art algorithm that provides an excellent balance between accuracy and efficiency. One major advantage of QuantumATK is that several materials simulation frameworks are available in one unified ...
VR is a simulated 3D environment that enables users to interact with a virtual surrounding in a way that approximates reality as perceived through our senses. This approximation of reality is now typically accessed through a VR headset that takes over a user's field of vision. Haptics, includin...
training algorithms cause neural networks to amplify cultural biases.Biased data sets are an ongoing challengein training systems that find answers on their own through pattern recognition in data. If the data feeding the algorithm isn't neutral -- and almost no data is -- the machine propagate...