Courses

Cognitive, Computational and Social Neurosciences

Academic Year 2017 - 2018

Advanced Neuroimaging

Abstract:
Early brain functional studies, based on MRI , PET or EEG, focused on univariate analyses, in which the activity of each region is processed independently from each other. Nowadays, multivariate machine learning techniques have been developed to model complex, sparse neuronal populations. This course will provide an introduction to new methods and cutting-edge machine-learning techniques in the neuroimaging field by exploring multivariate statistical modeling of brain-activity data and computational modeling of brain information processing. Specifically, the course focuses on machine learning decoding and encoding perspectives in fMRI and novel methods (e.g., Representational Similarity Analysis) to explore and analyze brain data. A comprehensive review of model validation and statistical inference is provided.
In addition, hardware and software implementation recently allowed to combine different neural measures with different spatial and temporal resolutions within the same experimental session. The course also discusses the transdisciplinary approach combining different neuroimaging techniques in unique methodological frameworks and the advent of ultrahigh field neuroimaging.
Hours:
30
Professors/Lecturers:
Nicola Vanello (Università degli Studi di Pisa); Mauro Costagli (Fondazione IMAGO7 Pisa); Andrea Leo (IMT Lucca)
Compulsory for:
Cognitive, Computational and Social Neurosciences

Advanced Seminars (long seminar without exam)

Abstract:
TBD
Hours:
30
Professors/Lecturers:
Maria Luisa Catoni (IMT Lucca)
Compulsory for:
Analysis and Management of Cultural Heritage
Also available for:
Cognitive, Computational and Social Neurosciences

Advanced Topics in Network Theory: Algorithms and Applications

Abstract:
Centrality metrics and spectral properties of graphs.

Community detection.

Bipartite and multilayer networks.

Applications: World Trade Web



Lecture 1: Centrality metrics

Lecture 2: Spectral properties

Lecture 3: Ranking and reputation on graphs

Lecture 4: Community detection in networks I

Lecture 5: Community detection in networks II

Lecture 6: Bipartite networks

Lecture 7: Multilayer networks

Lecture 8: World Trade Web

Lecture 9: Infrastructural networks I

Lecture 10: Infrastructural networks II
Hours:
10
Professors/Lecturers:
Guido Caldarelli (IMT Lucca); Fabio Saracco (IMT Lucca); Angelo Facchini (IMT Lucca)
Available for:
Cognitive, Computational and Social Neurosciences

Advanced Topics in Network Theory: Brain Networks

Abstract:
TBD
Hours:
10
Professors/Lecturers:
Guido Caldarelli (IMT Lucca); Tommaso Gili (IMT Lucca)
Available for:
Analysis and Management of Cultural Heritage; Cognitive, Computational and Social Neurosciences

Advanced Topics in Network Theory: Complex Networks and Python

Abstract:
TBD
Hours:
10
Professors/Lecturers:
Guido Caldarelli (IMT Lucca)
Available for:
Cognitive, Computational and Social Neurosciences

Advanced Topics in Network Theory: Dynamical Processes of Networks

Abstract:
Mean field and master equations.
Percolation and epidemic models.
Contagion: the case of financial networks.
Applications of network theory

Lecture 1: Master equations for network models
Lecture 2: Fitness and Relevance models
Lecture 3: Epidemic processes in mean field
Lecture 4: Epidemics on networks
Lecture 5: Scaling and percolation on networks
Lecture 6: Contagion in financial networks I
Lecture 7: Contagion: financial networks II
Lecture 8: Game theory on networks
Lecture 9: Evolutionary network games
Lecture 10: Networks from time series and visibility graph
Hours:
10
Professors/Lecturers:
Guido Caldarelli (IMT Lucca); Tiziano Squartini (IMT Lucca); Giulio Cimini (IMT Lucca)
Available for:
Cognitive, Computational and Social Neurosciences

Advanced Topics in Network Theory: Statistical Mechanics of Networks

Abstract:
Information theory, Exponential Random Graphs.
Hypothesis testing on networks
Reconstruction of networks.

Lecture 1: Basics of Information Theory
Lecture 2: Complex Networks Randomization
Lecture 3: Exponential Random Graphs
Lecture 4: maximum Likelihood Estimation
Lecture 5: Hypothesis testing on networks
Lecture 6: Early warnings in economic and financial networks
Lecture 7: Gravity Models of Trade
Lecture 8: Reconstruction algorithms I
Lecture 9: Reconstruction algorithms II
Lecture 10: Reconstruction of interbank networks
Hours:
10
Professors/Lecturers:
Guido Caldarelli (IMT Lucca); Tiziano Squartini (IMT Lucca); Fabio Saracco (IMT Lucca)
Available for:
Analysis and Management of Cultural Heritage; Cognitive, Computational and Social Neurosciences

Basic Linear Algebra and Statistics for Neuroscience

Abstract:
Linear algebra (G. Gnecco):

This part of the course will be based on the book "When life is linear: from computer graphics to bracketology" by Tim Chartier. It will provide a basic introduction to linear algebra to students with no (or minimal) background on it. The emphasis will be on the description of some applications of linear algebra, including some of interest to students in neuroscience, such as basic image processing, principal component analysis, and clustering. More advanced material will be provided upon request to students having already a solid background in linear algebra.

Statistics (V. Tortolini):

This part of the course will provide students with an introduction to probability and statistics and it will be focused on topics that are particularly relevant to neuroscience. The lessons will be designed for students with a minimum knowledge of the subject and based on the book "Learning to use statistical tests in psychology" by J. Green and M. D'Oliveira.
The topics covered will be:

- Introduction to probability: random variables, discrete and continuous distributions
- Introduction to statistics: definition of statistical model, estimate and estimator, point estimation and interval estimation
- Statistical tests: parametric and non parametric tests
- Analysis of Variance: one-way and two-way ANOVA
- Relation between variables: linear model, multiple regression
Hours:
20
Professors/Lecturers:
Giorgio Stefano Gnecco (IMT Lucca); Valentina Tortolini (IMT Lucca)
Compulsory for:
Cognitive, Computational and Social Neurosciences

Basic Neuro-Linguistics

Abstract:
Language springs from distributed, basic as well as higher sensory and cognitive functions. The course will explore the evolutionary and neural bases of language development, from the low-level perceptual-motor stage to the combinatory, attentive, mnemonic processes driving morphonsyntax and eventually, semantics and conceptualization.
Hours:
12
Professors/Lecturers:
Alessandra Rampinini (IMT Lucca)
Compulsory for:
Cognitive, Computational and Social Neurosciences
Also available for:
Analysis and Management of Cultural Heritage

Basic Principles and Applications of Brain Imaging Methodologies to Neuroscience

Abstract:
The course aims at introducing the fundamentals of brain metabolism and brain imaging methodologies. Neuroimaging techniques provided cognitive and social neuroscience with an unprecedented tool to investigate the neural correlates of behavior and mental functions. Here we will review the basic principles, research and clinical applications of positron emission tomography (PET), functional magnetic resonance imaging (fMRI), electroencephalography (EEG) and magnetoencephalography (MEG), non-invasive brain stimulation tools. Solid background in the concepts common to many types of neuroimaging, ranging from study design to data processing and interpretation, will be discussed to address neuroscientific questions. In particular, we will first review the basics of neurophysiology to understand the principles of brain imaging. Then, methodologies of data processing for the main brain imaging tools will be provided to the students with hands-on sessions: students will become familiar with the main pipelines for PET, fMRI and EEG data reconstruction, realignment, spatio-temporal normalization, first and second-level analyses. At the end of the course, students are expected to have general background knowledge of the basic principles, methodologies and applications of the most important brain functional techniques and to be prepared to evaluate the applicability of, and the results provided by, these methodologies for different problems in cognitive and clinical neuroscience.
Hours:
84
Professors/Lecturers:
Tbd; Emiliano Ricciardi (IMT Lucca); Monica Betta (IMT Lucca); Simone Rossi (Università degli Studi di Siena); Luca Cecchetti (IMT Lucca)
Compulsory for:
Cognitive, Computational and Social Neurosciences

Basic Programming for Neuroscience

Abstract:
TBD
Hours:
10
Professors/Lecturers:
Monica Betta (IMT Lucca)
Compulsory for:
Cognitive, Computational and Social Neurosciences

Behavioral and Cognitive Neuroscience of Perception

Abstract:
The course will review the physiological and anatomical bases of perception in humans and will consequently detail the neural bases of unimodal, multisensory and supramodal perception. The last part of the course will review recent observation in early and late blind individuals to understand how the (lack of) visual experience affects brain functional and structural development.
Hours:
44
Professors/Lecturers:
Emiliano Ricciardi (IMT Lucca); Davide Bottari (IMT Lucca)
Compulsory for:
Cognitive, Computational and Social Neurosciences
Also available for:
Analysis and Management of Cultural Heritage

Computer Programming and Methodology

Abstract:
This course aims at introducing to students principles and methodologies of computer programming. Emphasis is on good programming style, techniques and tools that allow efficient design, development and maintenance of software systems. The course focuses on the design of computer applications drawing attention to modern software engineering principles and programming techniques, like object-oriented design, decomposition, encapsulation, abstraction, and testing. A significative case study is used to allow students to experiment with the principles and techniques considered in this course. Depending on the background of the class, Java, C++, and/or Python are considered in the course.
Hours:
20
Professors/Lecturers:
Tbd
Available for:
Cognitive, Computational and Social Neurosciences

Contextual Analysis and Individual Objects: Arts, Sciences, Techniques, Beliefs (the course includes research field trips)

Abstract:
Art objects, objects of use (cultural, exchange, prestige). The circulation of ideas, believes and technologies through the circulation of objects. Tools for the contextual analysis of art-objects.
Hours:
30
Professors/Lecturers:
Linda Bertelli (IMT Lucca)
Compulsory for:
Analysis and Management of Cultural Heritage
Also available for:
Cognitive, Computational and Social Neurosciences

Critical Thinking (long seminar without exam)

Abstract:
Constructing and evaluating arguments is fundamental in all branches of science, as well as in everyday life. The course provides the basic skills and tools to recognize correct forms of inference and reasoning, detect the unsound or fallacious ones, and assess the strength of various kinds of argument. The toolbox includes elementary deductive logic, patterns of inductive and abductive inference, the basics of statistical and probabilistic reasoning, and the analysis of heuristics and biases in cognitive psychology. We shall discuss real-world examples of correct and incorrect reasoning from both scientific and non-scientific literature (newspapers, social media, and so on). No previous knowledge of logic, philosophy, or advanced mathematics is required.
Hours:
10
Professors/Lecturers:
Gustavo Cevolani (IMT Lucca)
Compulsory for:
Analysis and Management of Cultural Heritage
Also available for:
Cognitive, Computational and Social Neurosciences

Data Science Lab

Abstract:
The aim of this class is to provide students with R language fundamentals and basic sintax. In particular, lessons will cover the following topics:

- Overview of R features
- The basics (vectors, matrices, objects, manipulation, basic statements)
- Reading data from files
- Probability distributions
- Basic statistical models
- Graphical procedures
- R packages overview
Hours:
15
Professors/Lecturers:
Valentina Tortolini (IMT Lucca)
Available for:
Cognitive, Computational and Social Neurosciences

Decision-Making in Economics and Management

Abstract:
The main goals of the course are:

(1) to take economic theories and methodologies out into the world, applying them to interesting questions of individual behavior and societal outcomes;

(2) to develop a basic understanding of human psychology and social dynamics as they apply to marketing contexts;

(3) to become familiar with the major theory and research methods for analyzing consumer behavior; (4) to develop market analytics insight into consumer actions.

Most of time will be devoted to close reading of research papers, including discussion of the relative merits of particular methodologies. Students will participate actively in class discussion, engage with cutting-edge research, evaluate empirical data, and write an analytical paper. The course aims at enabling students to develop and enhance their own skills and interests as applied microeconomists.
Hours:
20
Professors/Lecturers:
Massimo Riccaboni (IMT Lucca)
Compulsory for:
Analysis and Management of Cultural Heritage
Also available for:
Cognitive, Computational and Social Neurosciences

Forensic and Legal Psychology

Abstract:
TBD
Hours:
12
Professors/Lecturers:
Pietro Pietrini (IMT Lucca)
Available for:
Analysis and Management of Cultural Heritage; Cognitive, Computational and Social Neurosciences

Foundations of Probability and Statistical Inference

Abstract:
This course aims at introducing, from an advanced point of view, the fundamental concepts of probability and statistical inference. Some proofs are sketched or omitted in order to have more time for examples, applications and exercises.
In particular, the course deals with the following topics:

- probability space, random variable, expectation, variance, cumulative distribution function, discrete and absolutely continuous distributions, random vector, joint and marginal distributions, joint cumulative distribution function, covariance,
- conditional probability, independent events, independent random variables, conditional probability density function, order statistics,
- multivariate Gaussian distribution,
- probability-generating function, Fourier transform/characteristic function,
- types of convergence and some related important results,
- point estimation, interval estimation, hypothesis testing, linear regression, introduction to Bayesian statistics.

Students may be exonerated up to a maximum of 10 hours according to their background.
Hours:
30
Professors/Lecturers:
Irene Crimaldi (IMT Lucca)
Available for:
Cognitive, Computational and Social Neurosciences

Funding and Management of Research and Intellectual Property (long seminar without exam)

Abstract:
The long seminar aims at providing an overview on the management of intellectual property rights (copyright transfer agreements, open access, patents, etc.). Funding opportunities for PhD students, post-docs, and researchers are also presented (scholarships by the Alexander von Humboldt Foundation; initiatives by the Deutscher Akademischer Austausch Dienst; scholarships offered by the Royal Society in UK; bilateral Italy-France exchange programmes; Fulbright scholarships; Marie Curie actions; grants for researchers provided by the European Research Council). For each funding scheme, specific hints on how to write a proposal are given.
Hours:
10
Professors/Lecturers:
Marco Paggi (IMT Lucca)
Available for:
Analysis and Management of Cultural Heritage; Cognitive, Computational and Social Neurosciences

Game Theory

Abstract:
The course covers the basics of non-cooperative game theory and information economics. The goal is to equip students with an in-depth understanding of the main concepts and tools of game theory in order to enable them to successfully pursue research in applied areas of economics and related disciplines, and to provide a solid background for students who are planning to concentrate on economic theory.
The course starts with a detailed description of how to model strategic situations as a game. It proceeds by studying basic solution concepts and their main refinements (dominance and iterative dominance, Nash equilibrium, correlated equilibrium, subgame perfect equilibrium, weak perfect Bayesian equilibrium, sequential equilibrium), strategic interaction under incomplete information (Bayesian games, Bayesian Nash equilibrium), and asymmetric information (adverse selection, signaling, screening, moral hazard, and the principal agent problem). The discussion of all theoretical concepts will be accompanied by representative applications from economics.
The course is mostly self-contained, but students should be familiar with basic concepts from calculus, linear algebra, and probability theory.
Hours:
20
Professors/Lecturers:
Kenan Huremovic (IMT Lucca)
Available for:
Cognitive, Computational and Social Neurosciences

Introduction to Cognitive and Social Psyschology

Abstract:
This course will provide an introduction to general themes in Cognitive and Social Psychology. In the first part of the course, we will review seminal findings that had a major impact on our knowledge of cognitive processes and social interactions, as well as more recent studies that took advantage of neuroimaging, electrophysiology and brain stimulation methods to shed new light on decision-making and social behaviors. During the second part of the course, students will be asked to perform a brief presentation of a research article and to critically discuss positive aspects and limitations of the study. The course will include seminars and lectures by renowned researchers in the field and will educate PhD candidates about the influence of social aspects of the human nature on cognitive and brain functioning (and vice-versa) in an intellectually motivating manner.
Hours:
24
Professors/Lecturers:
Pietro Pietrini (IMT Lucca); Emiliano Ricciardi (IMT Lucca)
Available for:
Analysis and Management of Cultural Heritage; Cognitive, Computational and Social Neurosciences

Introduction to Complex Systems and Networks

Abstract:
Complexity, self-similarity, scaling, self-organised criticality.
Definition of graphs, real networks and their properties.
Models of static networks, models of network growth.

Lecture 1 Graph Theory Introduction
Lecture 2 Properties of Complex Networks
Lecture 3 Communities
Lecture 4 Different Kind of Graphs
Lecture 5 Ranking
Lecture 6 Static Models of Graphs
Lecture 7 Dynamical Models of Graphs
Lecture 8 Fitness Models
Lecture 9 World Trade Web
Lecture 10 Financial Networks
Hours:
10
Professors/Lecturers:
Guido Caldarelli (IMT Lucca)
Compulsory for:
Cognitive, Computational and Social Neurosciences
Also available for:
Analysis and Management of Cultural Heritage

Introduction to Neuropsychology

Abstract:
TBD
Hours:
12
Professors/Lecturers:
Francesca Garbarini (Università degli Studi di Torino)
Compulsory for:
Cognitive, Computational and Social Neurosciences

Leading Themes in Neuroscience

Abstract:
TBD
Hours:
10
Professors/Lecturers:
Ron Kupers (University of Copenhagen)
Compulsory for:
Cognitive, Computational and Social Neurosciences

Machine Learning

Abstract:
The course provides an introduction to basic concepts in machine learning. Topics include: learning theory (bias/variance tradeoff; Vapnik-Chervonenkis dimension and Rademacher complexity, cross-validation, feature selection); supervised learning (linear regression, logistic regression, support vector machines); unsupervised learning (clustering, principal and independent component analysis); semisupervised learning (Laplacian support vector machines); online learning (perceptron algorithm); hidden Markov models.
Hours:
20
Professors/Lecturers:
Giorgio Stefano Gnecco (IMT Lucca)
Available for:
Cognitive, Computational and Social Neurosciences

Management of Complex Systems: Approaches to Problem Solving

Abstract:
Methods and approach to problem solving. Problem analysis; analysis of complex systems (related to cultural heritage, such as a city of art organization, promotion, etc.). The course will include practical simulations. The course will be linked to a seminar on specific case studies.
Hours:
30
Professors/Lecturers:
Tbd
Compulsory for:
Analysis and Management of Cultural Heritage
Also available for:
Cognitive, Computational and Social Neurosciences

Matrix Algebra

Abstract:
This course is aimed to review the basic concepts of linear algebra:

1. Systems of linear equations: solution by Gaussian elimination, PA=LU factorization, Gauss-Jordan method.
2. Vector spaces and subspaces, the four fundamental subspaces, and the fundamental theorem of linear algebra.
3. Determinant and eigenvalues, symmetric matrices, spectral theorem, quadratic forms.
4. Cayley-Hamilton theorem, functions of matrices, and application of linear algebra to dynamical linear systems.
5. Iterative methods for systems of linear equations.
6. Ordinary lest squares problem, normal equations, A=QR factorization, condition number, Tikhonov regularization.
7. Singular-value decomposition, Moonre-Penrose pseudoinverse.
8. An economic application of linear algebra: the Leontief input-outpul model.
Hours:
10
Professors/Lecturers:
Giorgio Stefano Gnecco (IMT Lucca)
Available for:
Cognitive, Computational and Social Neurosciences

Neural Bases of Consciousness and Sleep

Abstract:
The course will provide an introduction to fundamental concepts and current experimental approaches related to the study of the functional and anatomical basis of consciousness in humans. In particular, the course deals with the following topics:

a) Definition of consciousness and identification of its fundamental properties;
b) The neuroanatomical basis of consciousness;
c) Altered states of consciousness: sleep, anesthesia, seizures, coma and related conditions;
d) Main experimental paradigms and methodological approaches to the study of consciousness;
e) Sleep as a model for the study of consciousness: local aspects of sleep and wakefulness.
Hours:
12
Professors/Lecturers:
Giulio Bernardi (CHUV, Lousanne)
Compulsory for:
Cognitive, Computational and Social Neurosciences

Neurobiology of Emotion and Behavior

Abstract:
This course will provide an introduction to general themes in Affective and Social Neurosciences, particularly focusing on the neural correlates of emotion and behavior.
Hours:
12
Professors/Lecturers:
Pietro Pietrini (IMT Lucca)
Compulsory for:
Cognitive, Computational and Social Neurosciences
Also available for:
Analysis and Management of Cultural Heritage

Neuroscience in Bio-Engineering and Robotics

Abstract:
TBD
Hours:
18
Professors/Lecturers:
Tbd; Domenico Prattichizzo (Università degli Studi di Siena); Enzo Pasquale Scilingo (Università di Pisa)
Compulsory for:
Cognitive, Computational and Social Neurosciences

Numerical Methods for the Solution of Partial Differential Equations

Abstract:
The course introduces numerical methods for the approximate solution of initial and boundary value problems governed by linear partial differential equations (PDEs) ubiquitous in physics, engineering, and quantitative finance. The fundamentals of the finite difference method and of the finite element method are introduced step-by-step in reference to exemplary model problems related to heat conduction, linear elasticity, and pricing of stock options in finance. Notions on numerical differentiation, numerical integration, interpolation, and time integration schemes are provided. Special attention is given to the implementation of the numerical schemes in Matlab and in the finite element analysis program FEAP fast intensive computations.
Hours:
20
Professors/Lecturers:
Marco Paggi (IMT Lucca)
Available for:
Cognitive, Computational and Social Neurosciences

Philosophical and Ethical Themes in Neuroscience

Abstract:
Since its formal establishment as a self-standing field, neuroethics has been divided into two subdefinitions: the neuroscience of ethics and the ethics of neuroscience. While the neuroscience of ethics aims at explaining the way our brain works in relation to moral judgement, the ethics of neuroscience is a further expansion of bioethics: a discipline that wants to assess the moral dilemmas specifically raised by recent biotechnological advancements. As suggested by the title, this introductory course will focus on neuroethics in this latter sense, underlining the impact that discoveries concerning our brain can, do or will have on our society. Speculating over the ethical and political acceptability of certain innovations in the light of classical philosophical questions (i.e. What is justice? What constitutes a good life?) and other key terms necessary to understand the current debate (i.e. authenticity and personal identity, autonomy, responsibility and competence) will provide the groundworks for any further neuroethical investigation envisaged.
Hours:
10
Professors/Lecturers:
Mirko Daniel Garasic
Compulsory for:
Cognitive, Computational and Social Neurosciences

Philosophy and Neuroscience in Moral Reasoning

Abstract:
The analysis of moral reasoning and surrounding topics – how do we form moral judgments? how do they influence behavior? how do we assess virtuous versus malicious actions? – is a classical problem of moral philosophy (ethics) since antiquity. More recently, moral psychologists started tackling those problems using a descriptive, empirically based approach. Still more recently, people started investigating the impact of results in neuroscience for the foundations of moral reasoning.

The course is an introduction to the essential issues arising at the interface of neuroscience, moral psychology, and moral philosophy. We shall explore problems concerning the biological and neural basis of moral thinking, the role of emotions in moral reasoning, and the significance of empirical results for normative theories of morality.

(NB: the course deals with one branch of so-called neuroethics, i.e., “the neuroscience of ethics”; if you are interested (also) in the other branch, “the ethics of neuroscience”, see the IMT course on “Philosophical and Ethical Themes in Neuroscience”.)
Hours:
12
Professors/Lecturers:
Gustavo Cevolani (IMT Lucca)
Available for:
Analysis and Management of Cultural Heritage; Cognitive, Computational and Social Neurosciences

Philosophy of Science (long seminar without exam)

Abstract:
This is an introduction to the basic concepts and problems in the analysis of scientific reasoning and inquiry. The course will focus on some central patterns of reasoning and argumentation which in science and critically discuss their features and limitations. Topics covered include the nature of theory and evidence, the logic of theory testing, and the debate about the aims of science and the trustworthiness of scientific results. Classical examples and case-studies from the history and practice of scientific inquiry will be employed to illustrate the relevant problems and theoretical positions. No previous knowledge of either logic or philosophy is required.
Hours:
10
Professors/Lecturers:
Gustavo Cevolani (IMT Lucca)
Available for:
Analysis and Management of Cultural Heritage; Cognitive, Computational and Social Neurosciences

Principles of Brain Anatomy and Physiology

Abstract:
The course aims at introducing the fundamentals of brain anatomy and physiology. In the first part of the course we will revise the basics of neuron structure and function, as well as synaptic mechanisms and cytoarchitectonic properties of the cortical mantle, with particular regards to visual, auditory, somatosensory and motor systems. Moving from this fine-grained description of the human brain, we will focus on gross neuroanatomy: through the use of in-vivo state-of-the-art techniques, such as structural MRI and diffusion weighted imaging, we will review gyri and sulci of the cortex, subcortical structures, brainstem nuclei and major white matter fasciculi. The second part of the course will be devoted to the study of functional neuroanatomy, with insights on the relationship between specific brain structures and human cognition, collected using functional, metabolic and receptors mapping, as well as lesion studies. In particular, the the following topics will be covered: central and peripheral nervous systems, occipital parietal frontal temporal and limbic areas, subcortical nuclei and white matter fasciculi, cerebellum, methodologies of structural brain imaging: VBM, cortical thickness and folding, VLSM, Diffusion Weighted Imaging and Tractography (theory and methodologies of data processing, hands-on sessions). The last part of the course will instead cover topics related to peripheral and autonomous nervous system.
Hours:
36
Professors/Lecturers:
Luca Cecchetti (IMT Lucca); Michele Emdin (Scuola Superiore Sant'Anna Pisa)
Compulsory for:
Cognitive, Computational and Social Neurosciences

Scientific Writing, Dissemination and Evaluation (long seminar without exam)

Abstract:
In order to ensure their widest possible dissemination, research results need to be presented in academic publications and in talks. The first goal of this course is to introduce students to basic principles of academic writing and on basic techniques to plan and deliver good academic talks. In addition, the course discusses the key principles of peer review, which is what makes science reliable knowledge. In particular, the course focuses on how to write a professional referee report.
Hours:
8
Professors/Lecturers:
Luca Aceto (Reykjavik University)
Available for:
Analysis and Management of Cultural Heritage; Cognitive, Computational and Social Neurosciences

Stochastic Processes and Stochastic Calculus

Abstract:
This course aims at introducing some important stochastic processes and Ito stochastic calculus. Some proofs are sketched or omitted in order to have more time for examples, applications and exercises.
In particular, the course deals with the following topics:

- Markov chains (definitions and basic properties, classification of states, invariant measure, stationary distribution, some convergence results and applications, passage problems, random walks, urn models, introduction to the Markov chain Monte Carlo method),
- conditional expectation and conditional variance,
- martingales (definitions and basic properties, Burkholder transform, stopping theorem and some applications, predictable compensator and Doob decomposition, some convergence results, game theory, random walks, urn models),
- Poisson process, Birth-Death processes,
- Wiener process (definitions, some properties, Donsker theorem, Kolmogorov-Smirnov test) and Ito calculus (Ito stochastic integral, Ito processes and stochastic differential, Ito formula, stochastic differential equations, Ornstein-Uhlenbeck process, Geometric Brownian motion, Feynman-Kac representation formula).

Prerequisites: Matrix Algebra + Foundations of Probability and Statistical Inference
Hours:
30
Professors/Lecturers:
Irene Crimaldi (IMT Lucca)
Available for:
Cognitive, Computational and Social Neurosciences

Topics in Visual Arts

Abstract:
TBD
Hours:
12
Professors/Lecturers:
Emanuele Pellegrini (IMT Lucca); Maria Luisa Catoni (IMT Lucca); Linda Bertelli (IMT Lucca)
Compulsory for:
Cognitive, Computational and Social Neurosciences
Also available for:
Analysis and Management of Cultural Heritage