Piero Mana
Field of work
Please see https://portamana.org for research areas, CV, publications.
I am a researcher (but will always consider myself a student) interested in all science, and especially in these fields:
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General relativity.
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Quantum theory and statistical mechanics.
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Continuum thermomechanics, including subfields such as fluid dynamics, thermodynamics, and particle mechanics.
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Bayesian probability theory and decision theory, including machine learning and statistics, especially for medical applications.
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Differential, convex, affine geometry and Peano spaces.
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Formal logic and constructive (computable) analysis.
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Quantization of Julio Iglesias.
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History of science and epistemology.
Courses taught
Classical physics
Foundations of quantum theory and statistical mechanics
Foundations of relativity
Foundations of continuum thermomechanics
Bayesian probability theory and decision theory
Calculus
Applied differential geometry
Research areas
General relativity
Quantum statistics and hidden-variable theories
Ocean modelling
Bayesian probability theory for inference in neuroscience and medicine
Research groups
Machine Learning group, Mohn Medical Imaging and Visualization Centre, Dept of Computer science, Electrical Engineering and Mathematical Sciences
Publications
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Does the evaluation stand up to evaluation? A first-principle approach to the evaluation of classifiers
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Don’t guess what's true: choose what's optimal. A probability transducer for machine-learning classifiers
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Dimensional analysis in relativity and in differential geometry
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The rule of conditional probability is valid in quantum theory
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A relation between log-likelihood and cross-validation log-scores