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Radio astronomical observations have very poor signal to noise ratios, unlike in other disciplines. On the other hand, it is possible to observe the object of interest for long time intervals as well as using a wider bandwidth.…

Astrophysics · Physics 2008-09-02 Sarod Yatawatta

I give an introduction to algorithmic uses of the principle of inclusion-exclusion. The presentation is intended to be be concrete and accessible, at the expense of generality and comprehensiveness.

Data Structures and Algorithms · Computer Science 2015-03-19 Thore Husfeldt

This chapter provides an introduction to some basic concepts of epistemic logic, basic formal languages, their semantics, and proof systems. It also contains an overview of the handbook, and a brief history of epistemic logic and pointers…

Artificial Intelligence · Computer Science 2015-03-04 Hans van Ditmarsch , Joseph Y. Halpern , Wiebe van der Hoek , Barteld Kooi

The scope of this teaching package is to make a brief introduction to some notions and properties of chaotic systems. We first make a brief introduction to chaos in general and then we show some important properties of chaotic systems using…

Chaotic Dynamics · Physics 2007-05-23 Carlos Gershenson

Sound is one of the most informative and abundant modalities in the real world while being robust to sense without contacts by small and cheap sensors that can be placed on mobile devices. Although deep learning is capable of extracting…

Robotics · Computer Science 2022-08-05 Xufeng Zhao , Cornelius Weber , Muhammad Burhan Hafez , Stefan Wermter

This article is meant to give a lucid and widely accessible, self-contained account of a novel way of performing arithmetic operations on fuzzy intervals. Based on two formulae of generalized inversion (the first in close analogy to the…

General Mathematics · Mathematics 2016-10-28 Jan Schneider

We describe basic ideas underlying research to build and understand artificially intelligent systems: from symbolic approaches via statistical learning to interventional models relying on concepts of causality. Some of the hard open…

Artificial Intelligence · Computer Science 2022-04-04 Bernhard Schölkopf , Julius von Kügelgen

This textbook provides a systematic treatment of statistical machine learning for astronomical research through the lens of Bayesian inference, developing a unified framework that reveals connections between modern data analysis techniques…

Instrumentation and Methods for Astrophysics · Physics 2025-06-17 Yuan-Sen Ting

Many questions of fundamental interest in todays science can be formulated as inference problems: Some partial, or noisy, observations are performed over a set of variables and the goal is to recover, or infer, the values of the variables…

Statistical Mechanics · Physics 2018-01-24 Lenka Zdeborová , Florent Krzakala

An important step in learning to use math in science is learning to see physics equations as not just calculational tools, but as ways of expressing fundamental relationships among physical quantities, of coding conceptual information, and…

Physics Education · Physics 2022-08-17 Edward F. Redish

The purpose of this essay is to bring out the unique role of Mathematics in providing a base to the diverse sciences which conform to its rigid structure. Of these the physical and economic sciences are so intimately linked with…

Popular Physics · Physics 2012-02-29 A. N. Mitra

This article is based on lecture notes for the Marie Curie Training school "Initial Training on Numerical Methods for Active Matter". It provides an introductory overview of modeling approaches for active matter and is primarily targeted at…

Soft Condensed Matter · Physics 2021-02-26 L. Hecht , J. C. Ureña , B. Liebchen

Can machine learning help discover new mathematical structures? In this article we discuss an approach to doing this which one can call "mathematical data science". In this paradigm, one studies mathematical objects collectively rather than…

History and Overview · Mathematics 2025-02-14 Michael R. Douglas , Kyu-Hwan Lee

This set of Montreal lectures is an elementary and sketchy introduction to the general field of random matrices. The first half is devoted to combinatorial models, whereas the second half deals with random matrix questions(GUE, etc...).

Probability · Mathematics 2007-12-27 Pierre van Moerbeke

visual information can be converted into audio stream via sensory substitution devices in order to give visually impaired people the chance of perception of their surrounding easily and simultaneous to performing everyday tasks. In this…

Sound · Computer Science 2021-06-17 Ezsan Mehrbani , Sezedeh Fatemeh Mirhoseini , Noushin Riahi

We propose a framework to learn semantics from raw audio signals using two types of representations, encoding contextual and phonetic information respectively. Specifically, we introduce a speech-to-unit processing pipeline that captures…

Audio and Speech Processing · Electrical Eng. & Systems 2024-02-05 Jaeyeon Kim , Injune Hwang , Kyogu Lee

Robust preparation of future secondary mathematics teachers requires attention to the acquisition of mathematical knowledge for teaching. Many future teachers learn mathematics content primarily through mathematics major courses that are…

History and Overview · Mathematics 2021-02-10 Elizabeth G. Arnold , Elizabeth A. Burroughs , Elizabeth W. Fulton , James A. Mendoza Álvarez

This chapter provides a tutorial overview of first principles methods to describe the properties of matter at the ground state or equilibrium. It begins with a brief introduction to quantum and statistical mechanics for predicting the…

Computational Engineering, Finance, and Science · Computer Science 2020-10-14 Jianzhong Wu , Mengyang Gu

Our aim is to give a friendly introduction for students to systolic inequalities. We will stress the relationships between the classical formulation for Riemannian metrics and more recent developments related to symplectic measurements and…

Differential Geometry · Mathematics 2021-08-26 Gabriele Benedetti

Oscillatory systems arise in the different science fields. Complex mathematical formulations with differential equations have been proposed to model the dynamics of these systems. While they have the advantage of having a direct…

Neurons and Cognition · Quantitative Biology 2022-05-02 Cristina Rueda , Alejandro Rodríguez-Collado , Yolanda Larriba