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Uniform Manifold Approximation and Projection (UMAP) is a dimension reduction technique that can be used for visualisation similarly to t-SNE, but also for general non-linear dimension reduction. UMAP has a rigorous math...

El objetivo del presente trabajo es el estudio y la optimización de metodologías analíticas combinadas para la evaluación de arsénico total y sus especies inorgánicas a nivel de vestigios en aguas naturales. Las di...

Materias / palabras clave: hermitian geometry, kähler and hyperkähler geometry, calabi-yau metrics, holomorphic dynamics, almost complex geometry; Science: Mathematics

As a present to Mizar on its 50th anniversary, we develop an AI/TP system that automatically proves about 60% of the Mizar theorems in the hammer setting. We also automatically prove 75% of the Mizar theorems when the au...

Materias / palabras clave: Mathematics; Algorithm; Noise (video); Constraint (computer-aided design); Image (mathematics); Curvature; Projection (relational algebra); Manifold (fluid mechanics); Partial differential equation; Nonlinear system; Set...

Materias / palabras clave: Basic reproduction number; Ordinary differential equation; Stability (learning theory); Applied mathematics; Stability theory; Transmission (telecommunications); Manifold (fluid mechanics); Mathematics; Simple (philosoph...

We show how to use "complementary priors" to eliminate the explaining-away effects that make inference difficult in densely connected belief nets that have many hidden layers. Using complementary priors, we derive a fast...

Scientists working with large volumes of high-dimensional data, such as global climate patterns, stellar spectra, or human gene distributions, regularly confront the problem of dimensionality reduction: finding meaningfu...

Recently, it has been proposed by Maldacena that large N limits of certain conformal field theories in d dimensions can be described in terms of supergravity (and string theory) on the product of d 4-1dimensional AdS spa...

1 Engine Types and Their Operations 2 Engine Design and Operating Parameters 3 Thermochemistry of Fuel-Air Mixtures 4 Properties of Working Fluids 5 Ideal Models of Engine Cycles 6 Gas Exchange Processes 7 SI Engine Fuel...

Many areas of science depend on exploratory data analysis and visualization. The need to analyze large amounts of multivariate data raises the fundamental problem of dimensionality reduction: how to discover compact repr...

Despite the breakthroughs in accuracy and speed of single image super-resolution using faster and deeper convolutional neural networks, one central problem remains largely unsolved: how do we recover the finer texture de...

The success of machine learning algorithms generally depends on data representation, and we hypothesize that this is because different representations can entangle and hide more or less the different explanatory factors ...

We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of Anti-deSitter spacetimes, spheres and other compa...

Materias / palabras clave: topology, geometry, manifolds, fuzzy sets, differential topology, algebraic topology; Science: Mathematics