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cs.LG2023
Sampling Multimodal Distributions with the Vanilla Score: Benefits of Data-Based Initialization
Frederic Koehler, Thuy-Duong Vuong
There is a long history, as well as a recent explosion of interest, in statistical and generative modeling approaches based on score functions -- derivatives of the log-likelihood…
math.PR2023
Universality of Spectral Independence with Applications to Fast Mixing in Spin Glasses
Nima Anari, Vishesh Jain, Frederic Koehler +2
We study Glauber dynamics for sampling from discrete distributions on the hypercube . Recently, techniques based on spectral independence have successfully yielded…
math.PR2023
Influences in Mixing Measures
Frederic Koehler, Noam Lifshitz, Dor Minzer +1
The theory of influences in product measures has profound applications in theoretical computer science, combinatorics, and discrete probability. This deep theory is intimately conn…