Førsteamanuensis
Piero Giovanni Luca Porta-Mana
Arbeids- og kompetanseområde
If you're a student and have questions or curiosities about physics, maths, or probability theory; or if you're interested in cutting-edge methods in these disciplines, and maybe work on some project on them – then let's have a chat! Drop me a line.
Please see https://portamana.org for research areas, CV, publications, teaching material.
- Undergraduate physics: trying a new approach to give students a broader understanding of modern physics, and at the same time prepare them for an easier transition into specialized fields like continuum thermomechanics and fluid dynamics, relativity theory, nuclear physics, numerical-simulation methods.
Draft of lectures notes: The Seven Wonders of the World
- MSc course: ADA511: Data Science and data-driven engineering
Draft of lecture notes: Foundations of Data Science
Research interests and activities in:
- general relativity
- continuum mechanics & thermodynamics
- quantum theory
- Bayesian probability theory, decision theory, machine learning
- statistical mechanics
- differential geometry (especially visual approaches to it)
Please see https://portamana.org for research areas, CV, publications, teaching material.
Publikasjonar
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Foundations of data science and data-driven engineering
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TEACHING HIGHLIGHT: Foundations of data science and data-driven engineering
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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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Does the evaluation stand up to evaluation? A first-principle approach to the evaluation of classifiers
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Personalized prognosis & treatment using optimal predictor machines: An example study on conversion from Mild Cognitive Impairment to Alzheimer's Disease
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Dimensional analysis in relativity and in differential geometry (updated)
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Brain Tumor Segmentation from Multiparametric MRI Using a Multi-encoder U-Net Architecture
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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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Affine and convex spaces: blending the analytic and geometric viewpoints
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A relation between log-likelihood and cross-validation log-scores
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Sampling on the simplex
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Inferring health conditions from fMRI-graph data
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Quantum theory within the probability calculus: a there-you-go theorem and partially exchangeable models
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Unlearning and Seyab's theorem: a dialogue about updating probability
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Maximum-entropy and representative samples of neuronal activity: a dilemma
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On the Extraction and Analysis of Graphs From Resting-State fMRI to Support a Correct and Robust Diagnostic Tool for Alzheimer's Disease
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26th Annual Computational Neuroscience Meeting (CNS*2017): Part 2
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Perfect detection of spikes in the linear sub-threshold dynamics of point neurons
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Pairwise maximum-entropy models and their Glauber dynamics: bimodality, bistability, non-ergodicity problems, and their elimination via inhibition
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Geometry of maximum-entropy proofs: stationary points, convexity, Legendre transforms, exponential families
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Maximum-entropy from the probability calculus: exchangeability, sufficiency
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Scale-aware deterministic and stochastic parametrizations of eddy-mean flow interaction
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Inferences from a network to a subnetwork and vice versa under an assumption of symmetry
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Toward a stochastic parametrization of ocean mesoscale eddies
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On two recent conjectures in convex geometry
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Conjectures and questions in convex geometry: of interest for quantum theory and other physical statistical theories
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In favour of the time variable in classical thermoDYNAMICS
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On the relation between plausibility logic and the maximum-entropy principle: a numerical study
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Effects of the g-factor in semi-classical kinetic plasma theory
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Studies in plausibility theory, with applications to physics
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The Laplace-Jaynes approach to induction
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Numerical Bayesian state assignment for a quantum three-level system. II. Average-value data with a constant, a Gaussian-like, and a Slater prior
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Numerical Bayesian state assignment for a three-level quantum system. I. Absolute-frequency data, constant and Gaussian-like priors
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'Plausibilities of plausibilities': an approach through circumstances
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On distinguishability, orthogonality, and violations of the second law: contradictory assumptions, contrasting pieces of knowledge
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Distinguishability of non-orthogonal density matrices does not imply violations of the second law
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Schrödinger-cat states: size classification based on evolution or dissipation
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Probabilistic properties of non-deterministic physical systems (probability tables)
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A size criterion for macroscopic superposition states
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Why can states and measurement outcomes be represented as vectors?
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Consistency of the Shannon entropy in quantum experiments
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Hamiltonians for a general dilaton gravity theory on a spacetime with a non-orthogonal, timelike or spacelike outer boundary