5 papers
Ambiguous model learning made unambiguous with 1/f priors
Gurinder Singh Atwal, William Bialek
What happens to the optimal interpretation of noisy data when there exists more than one equally plausible interpretation of the data? In a Bayesian model-learning framework the an…
Information based clustering
Noam Slonim, Gurinder Singh Atwal, Gasper Tkacik +1
In an age of increasingly large data sets, investigators in many different disciplines have turned to clustering as a tool for data analysis and exploration. Existing clustering me…
Information based clustering: Supplementary material
Noam Slonim, Gurinder Singh Atwal, Gasper Tkacik +1
This technical report provides the supplementary material for a paper entitled "Information based clustering", to appear shortly in Proceedings of the National Academy of Sciences…
Estimating mutual information and multi--information in large networks
Noam Slonim, Gurinder S. Atwal, Gasper Tkacik +1
We address the practical problems of estimating the information relations that characterize large networks. Building on methods developed for analysis of the neural code, we show t…
Correlation effects and the high-frequency spin susceptibility of an electron liquid: Exact limits
G. S. Atwal, N. W. Ashcroft
Spin correlations in an interacting electron liquid are studied in the high-frequency limit and in both two and three dimensions. The third-moment sum rule is evaluated and used to…