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Recent observations of time-reversal breaking superconductivity at twisted cuprate interfaces motivate the development of new approaches to better characterize this emergent phenomenon. Here we study the dynamical properties of the order…

Superconductivity · Physics 2026-01-22 Jefferson Tang , Pavel A. Volkov

The average thermodynamic power of a time-dependent external potential in the white-noise Langevin model is derived using a Green's function solution. The power appears as a driving term in the differential equation for the average energy…

Statistical Mechanics · Physics 2009-08-13 Mikhail P. Solon , Kristian Hauser Villegas , J. P. Esguerra

A statistical model of discrete finite length random processes with negative power law spectral densities is presented. The definition of terms is followed by a description of the spectral density trend. An algorithmic construction of…

Instrumentation and Methods for Astrophysics · Physics 2023-02-13 Robert Kimberk , Keara Carter , Todd Hunter

A crucial part of an accurate and reliable spoken language assessment system is the underlying ASR model. Recently, large-scale pre-trained ASR foundation models such as Whisper have been made available. As the output of these models is…

Computation and Language · Computer Science 2023-10-11 Rao Ma , Mengjie Qian , Mark J. F. Gales , Kate M. Knill

In this paper, we propose an adaptive matched detector of a signal corrupted by a non-Gaussian noise with an inverse gamma texture. The detector is formed using a set of secondary data measurements, and is analytically shown to have a…

Applications · Statistics 2017-05-15 Shiwen Lei , Andreas Jakobsson , Zhiqin Zhao

We study a likelihood ratio test for detecting multiple {\it weak} changes in the mean of a class of CHARN models. The locally asymptotically normal (LAN) structure of the family of likelihoods under study is established. It results that…

Statistics Theory · Mathematics 2021-07-20 Joseph Ngatchou-Wandji , Marwa Ltaifa

There exist very few results on mixing for non-stationary processes. However, mixing is often required in statistical inference for non-stationary processes such as time-varying ARCH (tvARCH) models. In this paper, bounds for the mixing…

Statistics Theory · Mathematics 2011-02-11 Piotr Fryzlewicz , Suhasini Subba Rao

Deep learning models have improved sign language-to-text translation and made it easier for non-signers to understand signed messages. When the goal is spoken communication, a naive approach is to convert signed messages into text and then…

Sound · Computer Science 2026-04-14 Toranosuke Manabe , Yuto Shibata , Shinnosuke Takamichi , Yoshimitsu Aoki

The paper introduces novel methodologies for the identification of coefficients of switched autoregressive and switched autoregressive exogenous linear models. We consider cases which system's outputs are contaminated by possibly large…

Systems and Control · Electrical Eng. & Systems 2019-09-02 Sarah Hojjatinia , Constantino M. Lagoa , Fabrizio Dabbene

We propose a new procedure for white noise testing of a functional time series. Our approach is based on an explicit representation of the $L^2$-distance between the spectral density operator and its best ($L^2$-)approximation by a spectral…

Statistics Theory · Mathematics 2017-09-06 Pramita Bagchi , Vaidotas Characiejus , Holger Dette

Statistical inference for stochastic processes with time-varying spectral characteristics has received considerable attention in recent decades. We develop a nonparametric test for stationarity against the alternative of a smoothly…

Statistics Theory · Mathematics 2010-01-14 Efstathios Paparoditis

Generating tests that can reveal performance issues in large and complex software systems within a reasonable amount of time is a challenging task. On one hand, there are numerous combinations of input data values to explore. On the other…

Software Engineering · Computer Science 2021-04-07 Ali Sedaghatbaf , Mahshid Helali Moghadam , Mehrdad Saadatmand

The variance, higher order moments, covariance, and joint moments or cumulants are shown to be special cases of a certain tensor in $V^{\otimes n}$ defined in terms of a collection $X_1,...,X_n$ of $V$-valued random variables, for an…

Statistics Theory · Mathematics 2018-11-19 James Mathews

New testing and development procedures and methods are needed to address topics like power system stability, operation and control in the context of grid integration of rapidly developing smart grid technologies. In this context, individual…

We establish the asymptotic behaviour of the sum of squared residuals autocovariances and autocorrelations for the class of multi-variate power transformed asymmetric models. We then derive a portmanteau test. We establish the asymptotic…

Statistics Theory · Mathematics 2024-04-22 Yacouba Boubacar Maïnassara , Othman Kadmiri , Bruno Saussereau

For a GJR-GARCH specification with a generic innovation distribution we derive analytic expressions for the first four conditional moments of the forward and aggregated returns and variances. Moment for the most commonly used GARCH models…

Statistical Finance · Quantitative Finance 2018-09-07 Carol Alexander , Emese Lazar , Silvia Stanescu

A test oracle serves as a criterion or mechanism to assess the correspondence between software output and the anticipated behavior for a given input set. In automated testing, black-box techniques, known for their non-intrusive nature in…

Software Engineering · Computer Science 2023-10-11 Boxi Yu , Qiuyang Mang , Qingshuo Guo , Pinjia He

The Abstraction and Reasoning Corpus (ARC) is designed to assess generalization beyond pattern matching, requiring models to infer symbolic rules from very few examples. In this work, we present a transformer-based system that advances ARC…

We study state space equations within the white noise space setting. A commutative ring of power series in a countable number of variables plays an important role. Transfer functions are rational functions with coefficients in this…

Probability · Mathematics 2009-11-16 D. Alpay , D. Levanony , A. Pinhas

To address the performance gap of English ASR models on L2 English speakers, we evaluate fine-tuning of pretrained wav2vec 2.0 models (Baevski et al., 2020; Xu et al., 2021) on L2-ARCTIC, a non-native English speech corpus (Zhao et al.,…

Audio and Speech Processing · Electrical Eng. & Systems 2021-10-18 Toshiko Shibano , Xinyi Zhang , Mia Taige Li , Haejin Cho , Peter Sullivan , Muhammad Abdul-Mageed