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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.…

天体物理学 · 物理学 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.

数据结构与算法 · 计算机科学 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…

人工智能 · 计算机科学 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…

混沌动力学 · 物理学 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…

机器人学 · 计算机科学 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…

综合数学 · 数学 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…

人工智能 · 计算机科学 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…

天体物理仪器与方法 · 物理学 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…

统计力学 · 物理学 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…

物理教育 · 物理学 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…

科普物理 · 物理学 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…

软凝聚态物质 · 物理学 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…

历史与综述 · 数学 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...).

概率论 · 数学 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…

声音 · 计算机科学 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…

音频与语音处理 · 电气工程与系统科学 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…

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…

计算工程、金融与科学 · 计算机科学 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…

微分几何 · 数学 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…

神经元与认知 · 定量生物学 2022-05-02 Cristina Rueda , Alejandro Rodríguez-Collado , Yolanda Larriba