How likely you think something is to happen depends on what you already believe about the circumstances. That is the simple concept behind Bayes' rule, an approach to calculating probabilities, first ...

Autoregressive visual generation models have emerged as a groundbreaking approach to image synthesis, drawing inspiration from language model token prediction mechanisms. These innovative models ...

Sampling from probability distributions with known density functions (up to normalization) is a fundamental challenge across various scientific domains. From Bayesian uncertainty quantification to ...

Introduction Calcaneal apophysitis (CA) is common, but little is known about the underlying patho-mechanics. Growth related increases in Achilles tendon and plantar flexor stiffness are often cited as ...

Taiwanese Journal of Mathematics, Vol. 27, No. 2 (April 2023), pp. 221-236 (16 pages) We prove a new case of mixed discrete joint universality theorem on approximation of certain target couple of ...

THURSDAY, Oct. 31, 2024 (HealthDay News) -- Total hip replacement results in superior reduction in hip pain and improved hip function at six months compared with resistance training among patients ...

Abstract: Computing the rate-distortion function for continuous sources is commonly regarded as a standard continuous optimization problem. When numerically addressing this problem, a typical approach ...

Conformist and anticonformist biases in acquiring cultural variants have been documented in humans and several nonhuman species. We introduce a framework for quantifying these biases when cultural ...

When is it appropriate to completely reinvent the wheel? To an outsider, that seems to happen a lot in category theory, and probability theory isn’t spared from this treatment. We’ve had a useful ...

There are 100 unique colors in the vector col and 100 unique values in matrix. Heatmap() will treat it as an exact discrete one-to-one mapping. If this is not what you want, slightly change the number ...