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This paper develops a method to construct robust positively invariant (RPI) tube sets from finite noisy input-state data of an unknown linear time-invariant (LTI) system, yielding tubes that can be directly embedded in tube-based robust…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Chi Wang , David Angeli

A fundamental step in many data-analysis techniques is the construction of an affinity matrix describing similarities between data points. When the data points reside in Euclidean space, a widespread approach is to from an affinity matrix…

Machine Learning · Statistics 2021-01-27 Boris Landa , Ronald R. Coifman , Yuval Kluger

The availability of large labeled datasets has allowed Convolutional Network models to achieve impressive recognition results. However, in many settings manual annotation of the data is impractical; instead our data has noisy labels, i.e.…

Computer Vision and Pattern Recognition · Computer Science 2015-04-13 Sainbayar Sukhbaatar , Joan Bruna , Manohar Paluri , Lubomir Bourdev , Rob Fergus

Training deep neural network (DNN) with noisy labels is practically challenging since inaccurate labels severely degrade the generalization ability of DNN. Previous efforts tend to handle part or full data in a unified denoising flow via…

Computer Vision and Pattern Recognition · Computer Science 2022-08-24 Boshen Zhang , Yuxi Li , Yuanpeng Tu , Jinlong Peng , Yabiao Wang , Cunlin Wu , Yang Xiao , Cairong Zhao

Suspended drums made of 2D materials hold potential for sensing applications. However, the industrialization of these applications is hindered by significant device-to-device variations presumably caused by non-uniform stress distributions…

SGD does not produce robust results on datasets with label noise. Because the gradients calculated according to the losses of the noisy samples cause the optimization process to go in the wrong direction. In this paper, as an alternative to…

Machine Learning · Computer Science 2022-03-29 Enes Dedeoglu , Himmet Toprak Kesgin , Mehmet Fatih Amasyali

To address noise inherent in electronic data acquisition systems and real world sources, Araki et al. [Physica D: Nonlinear Phenomena, 417 (2021) 132819] demonstrated a grid based nonlinear technique to remove noise from a chaotic signal,…

Traffic flows are studied in terms of their noise of sound, which is an easily accessible experimental quantity. The sound noise data is studied making use of scaling properties of wavelet transforms and Hurst exponents are extracted. The…

Data Analysis, Statistics and Probability · Physics 2009-11-11 B. -S. Skagerstam , A. Hansen

Consider a process satisfying a stochastic differential equation with unknown drift parameter, and suppose that discrete observations are given. It is known that a simple least squares estimator (LSE) can be consistent, but numerically…

Statistics Theory · Mathematics 2017-03-17 Yasutaka Shimizu

A variety of severe plastic deformation (SPD) techniques have been developed to process materials to high strains and impart microstructural refinement. High pressure torsion (HPT) is one technique that imparts inhomogeneous strain to…

Applied Physics · Physics 2021-09-22 Evander Ramos , Takahiro Masuda , Sina Shahrezaei , Zenji Horita , Suveen Mathaudhu

In this paper, we report stochastic resonance (SR) in a single electron turnstile. It has been known that SR emerges by the cooperation of a weak periodic signal and noise in a bistable system. A periodic signal produces switching between…

Quantum Physics · Physics 2007-10-16 Hisanao Akima , Shigeo Sato , Koji Nakajima

This paper proposes a method for machine learning from unlabeled data in the form of a time-series. The mapping that is learned is shown to extract slowly evolving information that would be useful for control applications, while efficiently…

Machine Learning · Computer Science 2019-05-09 Per Rutquist

Training deep neural networks (DNNs) with noisy labels is a challenging problem due to over-parameterization. DNNs tend to essentially fit on clean samples at a higher rate in the initial stages, and later fit on the noisy samples at a…

Machine Learning · Computer Science 2021-07-08 Sree Ram Kamabattula , Venkat Devarajan , Babak Namazi , Ganesh Sankaranarayanan

The stress evolution process is taken into account in the linear stability analysis of standard thin accretion discs. We find that the growth rate of thermally unstable modes can decrease significantly owing to the stress delay, which may…

High Energy Astrophysical Phenomena · Physics 2015-05-27 Da-Bin Lin , Wei-Min Gu , Ju-Fu Lu

A novel data-driven constitutive modeling approach is proposed, which combines the physics-informed nature of modeling based on continuum thermodynamics with the benefits of machine learning. This approach is demonstrated on…

Computational Engineering, Finance, and Science · Computer Science 2023-04-28 Kshitiz Upadhyay , Jan N. Fuhg , Nikolaos Bouklas , K. T. Ramesh

A scaling analysis is undertaken for the load balance in sliding friction in the hydrodynamic lubrication regime, with a particular emphasis on power-law shear-thinning typical of a structured liquid. It is argued that the shear-thinning…

Soft Condensed Matter · Physics 2023-07-11 Patrick B. Warren

The main purpose of this study is to determine, via a three dimensions Finite Element analysis (FE), the stress and strain fields at the inner surface of a tubular specimen submitted to thermo-mechanical fatigue. To investigate the surface…

Sparse regression has recently emerged as an attractive approach for discovering models of spatiotemporally complex dynamics directly from data. In many instances, such models are in the form of nonlinear partial differential equations…

Dynamical Systems · Mathematics 2020-01-29 Patrick A. K. Reinbold , Daniel R. Gurevich , Roman O. Grigoriev

The statistical-thermodynamic dislocation theory developed in previous papers is used here in an analysis of high-temperature deformation of aluminum and steel. Using physics-based parameters that we expect theoretically to be independent…

Materials Science · Physics 2017-07-19 K. C. Le , T. M. Tran , J. S. Langer

Compressing and pruning large machine learning models has become a critical step towards their deployment in real-world applications. Standard pruning and compression techniques are typically designed without taking the structure of the…