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Units, polyhedra, and a conjecture of Satake
Real number field degree polyhedral cone circular resolution
2014/12/29
Let F/Q be a totally real number field of degree n. We explicitly evaluate a certain sum of rational functions over a infinite fan of F-rational polyhedral cones in terms of the norm map N: F ¨ ...
Estimating Average Causal Effects Under Interference Between Units
Estimating Average Causal Effects Interference Between Units
2013/6/14
This paper presents a randomization-based framework for estimating causal effects under interference between units. We develop the case of estimating average unit-level causal effects from a randomize...
Universal Approximation Depth and Errors of Narrow Belief Networks with Discrete Units
Deep belief network restricted Boltzmann machine universal approxima-tion representational power Kullback-Leibler divergence,q-ary variable
2013/4/28
We generalize recent theoretical work on the minimal number of layers of narrow deep belief networks that can approximate any probability distribution on the states of their visible units arbitrarily ...
Reasoning about Interference Between Units
Causal effect Interference Randomized experiment Randomization inference Fisher’s Sharp Null Hypothesis SUTVA
2012/9/17
If an experimental treatment is experienced by both treated and control group units, tests of hypotheses about causal effects may be difficult to conceptualize let alone execute. In this paper, we sho...
On a πps Scheme of Sampling of Two Units。