Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Basic Experiment Planning via Information Metrics: the RoboMendel
  Problem   In this paper we outline some mathematical questions that emerge from trying
to "turn the scientific method into math". Specifically, we consider the
problem of experiment planning (choosing the best experiment to do next) in
explicit probabilistic and information theoretic terms. We formulate this as an
information measurement problem; that is, we seek a rigorous definition of an
information metric to measure the likely information yield of an experiment,
such that maximizing the information metric will indeed reliably choose the
best experiment to perform. We present the surprising result that defining the
metric purely in terms of prediction power on observable variables yields a
metric that can converge to the classical mutual information measuring how
informative the experimental observation is about an underlying hidden
variable. We show how the expectation potential information metric can compute
the "information rate" of an experiment as well its total possible yield, and
the information value of experimental controls. To illustrate the utility of
these concepts for guiding fundamental scientific inquiry, we present an
extensive case study (RoboMendel) applying these metrics to propose sequences
of experiments for discovering the basic principles of genetics.

21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin