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| 22
April (Friday) 4:15 PM (Múzeum
krt. 4/i) Room 224 +
ONLINE |
| Judit
Madarász |
Rényi Institute of Mathematics, Budapest
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Relativistic
Computation
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Two major new paradigms
of computing arising from new
physics are quantum computing and
general relativistic computing.
Quantum computing challenges
complexity barriers in
computability, while general
relativistic computing challenges
the physical Church-Turing thesis
itself. In this talk, we
concentrate on relativistic
computers and on their challenge
to the physical Church-Turing
thesis (PhCT).
The talk is based on Chapter 9
written by Hajnal Andréka,
Judit X. Madarász, István Németi,
Péter Németi, and Gergely Székely
of book
Physical Perspectives on
Computation, Computational
Perspectives on Physics, edited
by Michael E. Cuffaro and
Samuel C. Fletcher.
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| 29
April (Friday) 4:15 PM
(Múzeum krt.
4/i)
Room 224 + ONLINE |
| Márton
Gömöri (1)(2)
and Miklós
Rédei (3)
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(1)
Department of Logic,
Institute of Philosophy
Eötvös University
Budapest
(2) Institute
of Philosophy, Research
Centre for the
Humanities, Budapest
(3)
Department of
Philosophy, Logic and
Scientific Method, LSE,
London
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| Entropic
taming of the Look Elsewhere
Effect |
| To mitigate the Look
Elsewhere Effect in multiple
hypothesis testing using p
-values, the paper suggests an
“entropic correction” of the
significance level at which the
null hypothesis is rejected. The
proposed correction uses the
entropic uncertainty associated
with the probability measure that
expresses the prior-to-test
probabilities expressing how
likely the confirming evidence may
occur at values of the parameter.
When the prior-to-test probability
is uniform (embodying maximal
uncertainty) the entropic
correction coincides with the
Bonferroni correction. When the
prior-to-test probability embodies
maximal certainty (is concentrated
on a single value of the
parameter), the entropic
correction overrides the Look
Elsewhere Effect completely by not
requiring any correction of
significance. The intermediate
situation is illustrated by a
simple hypothetical example.
Interpreting the prior-to-test
probability subjectively allows a
Bayesian spirit enter the
frequentist multiple hypothesis
testing in a disciplined manner.
If the prior-to-test probability
is determined objectively, the
entropic correction makes possible
to take into account in a
technically explicit way the
background theoretical knowledge
relevant for the test. |
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