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Algorithms for constructing causal networks for simulated data

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This package is designed to infer the causal structure of a complex simulated environment utilizing the HITON-EZK algorithm.

Parameters for executing the algorithm (number N, N1, N2 of samples drawn at various steps; threshold for on c_ij^K for causal dependence, etc.) are stored in a dictionary and passed into the hiton or hiton_iterator functions as the params keyword argument. This also contains a dictionary under the key sampler_params which holds the information needed to execute a simulation, or perturb a system state.

The simulation of interest must be packaged in a function simulator so that we can generate simulation output by a call of the form simulator(**kwargs) with kwargs a dictionary of inputs. The simulator function is assigned to the key value simulator in params['sampler_params']

In this version the package only supports single target variable testing, so questions of whether agent j is influencing agent i must be expressed as Does the collection of variables describing agent j have a statistical effect on the single variable x of agent i?'' Of course, in some applications the response variable may not be one-dimensional; in a future update this will be supported, allowing us to rephrase the above question as Does the collection of agent j's variables have a statistical influence on any one of the variables defining agent i?''

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