no code implementations • 9 Nov 2022 • Sourav Chatterjee
This paper surveys some recent developments in measures of association related to a new coefficient of correlation introduced by the author.
no code implementations • 15 Sep 2022 • Sourav Chatterjee, Mathukumalli Vidyasagar
We consider the problem of estimating a large causal polytree from a relatively small i. i. d.
1 code implementation • 24 May 2022 • Sourav Chatterjee, Rohan Bopardikar, Marius Guerard, Uttam Thakore, Xiaodong Jiang
Organizations leverage anomaly and changepoint detection algorithms to detect changes in user behavior or service availability and performance.
no code implementations • 30 Mar 2022 • Sourav Chatterjee
This article presents a criterion for convergence of gradient descent to a global minimum, which is then used to show that gradient descent with proper initialization converges to a global minimum when training any feedforward neural network with smooth and strictly increasing activation functions, provided that the input dimension is greater than or equal to the number of data points.
no code implementations • 15 Apr 2021 • Guanghua Chi, Han Fang, Sourav Chatterjee, Joshua E. Blumenstock
Many critical policy decisions, from strategic investments to the allocation of humanitarian aid, rely on data about the geographic distribution of wealth and poverty.
no code implementations • 20 Jan 2021 • Carl L. Rodriguez, Kyle Kremer, Sourav Chatterjee, Giacomo Fragione, Abraham Loeb, Frederic A. Rasio, Newlin C. Weatherford, Claire S. Ye
Since the first signal in 2015, the gravitational-wave detections of merging binary black holes (BBHs) by the LIGO and Virgo collaborations (LVC) have completely transformed our understanding of the lives and deaths of compact object binaries, and have motivated an enormous amount of theoretical work on the astrophysical origin of these objects.
High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology
3 code implementations • 23 Sep 2019 • Sourav Chatterjee
Is it possible to define a coefficient of correlation which is (a) as simple as the classical coefficients like Pearson's correlation or Spearman's correlation, and yet (b) consistently estimates some simple and interpretable measure of the degree of dependence between the variables, which is 0 if and only if the variables are independent and 1 if and only if one is a measurable function of the other, and (c) has a simple asymptotic theory under the hypothesis of independence, like the classical coefficients?
Statistics Theory Probability Statistics Theory 62H20, 62H15
no code implementations • 6 Dec 2012 • Sourav Chatterjee
Consider the problem of estimating the entries of a large matrix, when the observed entries are noisy versions of a small random fraction of the original entries.
Statistics Theory Probability Statistics Theory