Abstract: A general approach to obtain reduced models for a wide class of discrete-time quantum systems is proposed. The obtained models not only reproduce exactly the output of a given quantum model, ...

Abstract: We propose a discrete-time model for a stochastic hybrid system (SHS) in which the continuous state evolution is described by stochastic difference equations and the discrete state evolution ...

For the severe weather season in the United States, the Storm Prediction Center has added some new forecasting categories to help understand the significant risks of each severe weather event. By ...

If a new pathogen causes a large epidemic, then it might “burn out” before causing a second epidemic. The burnout probability can be estimated from large numbers of computationally intensive ...

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While inference-time scaling has significantly enhanced generative quality in large language and diffusion models, its application to vector-quantized (VQ) visual autoregressive modeling (VAR) remains ...

Operational Laws: Little's Law, response-time law, asymptotic bounds, modification analysis, performance metrics. Markov Chain Theory: both discrete-time and continuous-time, renewal theory, ...

MELLE is a novel continuous-valued tokens based language modeling approach for text to speech synthesis (TTS). MELLE autoregressively generates continuous mel-spectrogram frames directly from text ...

The binomial distribution is a key concept in probability that models situations where you repeat the same experiment several times, and each time there are only two possible outcomes—success or ...

Can you chip in? As an independent nonprofit, the Internet Archive is fighting for universal access to quality information. We build and maintain all our own systems, but we don’t charge for access, ...

This is the official repo for the NeurIPS 2024 paper Categorical Flow Matching on Statistical Manifolds by Chaoran Cheng, Jiahan Li, Jian Peng, and Ge Liu. The paper is available at arXiv. Want to ...

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 ...