Calculus, Mathematics, Machine learning, Lexical category, Regression analysis, Linear algebra

Stochastic Beams and Where to Find Them: The Gumbel-Top-k Trick for Sampling Sequences Without Replacement

On May 22, 2020
@kastnerkyle shared
RT @wellecks: “Estimating Gradients for Discrete Random Variables by Sampling without Replacement“ https://t.co/rj0qKeod1N Proposes the unordered set estimator & policy gradient Can be used with stochastic beam search (https://t.co/40arztciix) by @wouter_kool, Herke van Hoof, @wellingmax https://t.co/vqkIUqeHGq
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(8) Now for each node S, we define GφS as the maximum of the perturbed log-probabilities Gφi in the subtree leaves S. By Equation (2), GφS has a Gumbel distribution with location φS (hence its notation GφS ): GφS = max i∈S Gφi ∼ Gumbel(φS) (9) Since GφS ∼ Gumbel(φS) is a Gumbel ...

arxiv.org
On May 22, 2020
@kastnerkyle shared
RT @wellecks: “Estimating Gradients for Discrete Random Variables by Sampling without Replacement“ https://t.co/rj0qKeod1N Proposes the unordered set estimator & policy gradient Can be used with stochastic beam search (https://t.co/40arztciix) by @wouter_kool, Herke van Hoof, @wellingmax https://t.co/vqkIUqeHGq
Open

Stochastic Beams and Where to Find Them: The Gumbel-Top-k Trick for Sampling Sequences Without Replacement

Stochastic Beams and Where to Find Them:  The Gumbel-Top-k Trick for Sampling Sequences Without Replacement

(8) Now for each node S, we define GφS as the maximum of the perturbed log-probabilities Gφi in the subtree leaves S. By Equation (2), GφS has a Gumbel distribution with location φS (hence ...

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Training -ELBO (1020 latent space) 158.8 k=1 RELAX 94.4 k=1 ST Gumbel-Softmax 84.4 k=1 REINFORCE (sample bl) 82.6 k=4 Sum & sample (sample bl) 82.3 k= * ARSM 80.9 k=8 Sum & sample (sample ...

Learning Latent Trees with Stochastic Perturbations and Differentiable Dynamic Programming

Learning Latent Trees with Stochastic Perturbations and Differentiable Dynamic Programming

Proceedings of the 57th Annual Meeting of the Association for Computational Linguistics, pages 5508–5521 Florence, Italy, July 28 - August 2, 2019. c©2019 Association for Computational ...

tagging.dvi

tagging.dvi

Stanford University Stanford University Stanford, CA 94305-9040 Stanford, CA 94305-9040 [email protected] [email protected] Christopher D. Manning Yoram Singer Computer Science ...

Essential Math for Data Science: ‘Why’ and ‘How’

Essential Math for Data Science: ‘Why’ and ‘How’

Data summaries and descriptive statistics, central tendency, variance, covariance, correlation, Basic probability: basic idea, expectation, probability calculus, Bayes theorem, conditional ...

Essential Math for Data Science — ‘Why’ and ‘How’

Essential Math for Data Science — ‘Why’ and ‘How’

Mathematics is the bedrock of science. We discuss the essential math topics to master to become a better data scientist in all aspects.