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Energy-Based Diffusion Language Models for Text Generation
International Conference on Learning RepresentationsDespite remarkable progress in autoregressive language models, alternative generative paradigms beyond left-to-right generation are still being actively explored. Discrete diffusion models, with the capacity for parallel generation, have recently emerged
Minkai Xu +7 more
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A Diffusion Approximation for a Markovian Queue with Reneging
Queueing Systems, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amy R. Ward, Peter W. Glynn
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Refining diffusion approximations for queues
Operations Research Letters, 1982zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximating Non-linear Diffusion
2003We assess the feasibility of approximating non-linear diffusion processes with simple local Gaussian filters. The purpose of doing this is twofold. Firstly, the theoretical implications are by themselves interesting. Secondly, a successful method would reduce the need for computationally expensive implementations of non-linear diffusion schemes.
Erik Dam, Ole Fogh Olsen, Mads Nielsen
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A Double-ended Queue with Catastrophes and Repairs, and a Jump-diffusion Approximation
, 2011Consider a system performing a continuous-time random walk on the integers, subject to catastrophes occurring at constant rate, and followed by exponentially-distributed repair times. After any repair the system starts anew from state zero. We study both
A. Crescenzo +3 more
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On weak approximations of (a, b)-invariant diffusions
Mathematics and Computers in Simulation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a Diffusion Approximation of a Prediction Game
Theory of Probability & Its ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Diffusion Approximations for Queues with Markovian Bases
Annals of Operations Research, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximating Diffusions with Trees
2001In this appendix, we show how to approximate a diffusion process with a tree. The general procedure we outline is used throughout the book in the tree construction for both one-factor and two-factor short-rate models. In the one-factor case, the tree is constructed by imposing that the conditional local mean and variances at each node are equal to ...
Damiano Brigo, Fabio Mercurio
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A Diffusion Approximation for an Epidemic Model
2006Influenza is one of the most common and severe diseases worldwide. Devastating epidemics actuated by a new subtype of the influenza A virus occur again and again with the most important example given by the Spanish Flu in 1918/19 with more than 27 million deaths.
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