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This article aims at discovering the unknown variables in the system through data analysis. The main idea is to use the time of data collection as a surrogate variable and try to identify the unknown variables by modeling gradual and sudden…

Methodology · Statistics 2023-10-12 V. Roshan Joseph , William E. Lewis , Henry S. Yuchi , Kathryn A. Maupin

We offer the proofs that complete our article introducing the propositional calculus called semi-intuitionistic logic with strong negation.

Logic · Mathematics 2017-09-01 Juan Manuel Cornejo , Ignacio Viglizzo

Finding a basis matrix (dictionary) by which objective signals are represented sparsely is of major relevance in various scientific and technological fields. We consider a problem to learn a dictionary from a set of training signals. We…

Disordered Systems and Neural Networks · Physics 2015-06-04 Ayaka Sakata , Yoshiyuki Kabashima

Source separation problems are ubiquitous in the physical sciences; any situation where signals are superimposed calls for source separation to estimate the original signals. In this tutorial I will discuss the Bayesian approach to the…

Machine Learning · Statistics 2013-11-14 Kevin H. Knuth

This primer is intended as an introduction to differential forms, a central object in modern mathematical physics, for scientists and engineers.

Mathematical Physics · Physics 2012-06-18 Christian Lessig

Few-shot audio-visual acoustics modeling seeks to synthesize the room impulse response in arbitrary locations with few-shot observations. To sufficiently exploit the provided few-shot data for accurate acoustic modeling, we present a…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Diwei Huang , Kunyang Lin , Peihao Chen , Qing Du , Mingkui Tan

In nature, active inference agents must learn how observations of the world represent the state of the agent. In engineering, the physics behind sensors is often known reasonably accurately and measurement functions can be incorporated into…

Systems and Control · Electrical Eng. & Systems 2024-09-20 Wouter M. Kouw

In the first part of the paper we study stochastic integrals of a nonrandom function with respect to a nonorthogonal Hilbert noise defined on a semiring of subsets of an arbitrary nonempty set. In the second part we apply this construction…

Probability · Mathematics 2007-06-13 Igor S. Borisov , Alexander A. Bystrov

This chapter will appear in the forthcoming Handbook of Approximate Bayesian Computation (2018). Indirect inference (II) is a classical likelihood-free approach that pre-dates the main developments of ABC and relies on simulation from a…

Computation · Statistics 2018-03-07 Christopher C Drovandi

We derive a method to reconstruct Gaussian signals from linear measurements with Gaussian noise. This new algorithm is intended for applications in astrophysics and other sciences. The starting point of our considerations is the principle…

Instrumentation and Methods for Astrophysics · Physics 2011-10-18 Niels Oppermann , Georg Robbers , Torsten A. Ensslin

Music semantics is embodied, in the sense that meaning is biologically mediated by and grounded in the human body and brain. This embodied cognition perspective also explains why music structures modulate kinetic and somatosensory…

Computer Vision and Pattern Recognition · Computer Science 2021-12-13 Francisco Afonso Raposo , David Martins de Matos , Ricardo Ribeiro

The Cadenza project aims to improve the audio quality of music for those who have a hearing loss. This is being done through a series of signal processing challenges, to foster better and more inclusive technologies. In the first round, two…

A tutorial review is given of some developments and applications of stochastic processes from the point of view of the practicioner physicist. The index is the following: 1.- Introduction 2.- Stochastic Processes 3.- Transient Stochastic…

Condensed Matter · Physics 2007-05-23 Maxi San Miguel , Raul Toral

In this paper we propose a very specific educational challenge that teachers can use to motivate ambitious and enthusiastic mathematics students who have mastered basic trigonometry and trig functions. The objective is to lead students to a…

History and Overview · Mathematics 2023-11-20 Jeffrey Uhlmann

The interplay between nonlinear dynamic systems and noise has proved to be of great relevance in several application areas. In this presentation, we focus on the areas of information transmission and storage. We review some recent results…

Other Condensed Matter · Physics 2017-11-22 P. I. Fierens , G. A. Patterson , A. A. García , D. F. Grosz

It is shown that a receiver equipped with two antennas may null an arbitrary large number of spatial directions to any desired accuracy, while maintaining the interference-free signal-to-noise ratio, by judiciously adjusting the distance…

Information Theory · Computer Science 2019-05-31 Amir Leshem , Uri Erez

Acoustic-to-articulatory inversion (AAI) is to obtain the movement of articulators from speech signals. Until now, achieving a speaker-independent AAI remains a challenge given the limited data. Besides, most current works only use audio…

Sound · Computer Science 2022-04-05 Jianrong Wang , Jinyu Liu , Longxuan Zhao , Shanyu Wang , Ruiguo Yu , Li Liu

Neural upmixing, the task of generating immersive music with an increased number of channels from fewer input channels, has been an active research area, with mono-to-stereo and stereo-to-surround upmixing treated as separate problems. In…

Sound · Computer Science 2024-05-24 Yongyi Zang , Yifan Wang , Minglun Lee

This paper gives an introduction to the theory of orthogonal projection of functions or signals. Several kinds of decomposition are explored: Fourier, Fourier-Legendre, Fourier-Bessel series for 1D signals, and Spherical Harmonic series for…

Instrumentation and Methods for Astrophysics · Physics 2018-11-20 Eric Aristidi

The purpose of these lecture notes is to provide readers, who have some mathematical background but little or no exposure to quantum mechanics and quantum computation, with enough material to begin reading the research literature in quantum…

Quantum Physics · Physics 2007-05-23 Samuel J. Lomonaco , jr
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