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We developed a Nonlinear Level-set Learning (NLL) method for dimensionality reduction in high-dimensional function approximation with small data. This work is motivated by a variety of design tasks in real-world engineering applications,…

Functional Analysis · Mathematics 2019-06-20 Guannan Zhang , Jiaxin Zhang , Jacob Hinkle

We study tracking control for uncertain nonlinear multi-input, multi-output systems modelled by $r$-th order functional differential equations (encompassing systems with arbitrary strict relative degree) in the presence of input…

Optimization and Control · Mathematics 2023-04-18 Thomas Berger

In this paper we study saturated fractions of a two-factor design under the simple effect model. In particular, we define a criterion to check whether a given fraction is saturated or not, and we compute the number of saturated fractions.…

Statistics Theory · Mathematics 2012-07-13 Roberto Fontana , Fabio Rapallo , Maria Piera Rogantin

Variational design is a well-recognized CAD technique due to the increased design efficiency. It often presents as a parametric family of CAD models. Although effective, this way of working cannot handle design requirements that go beyond…

Methodology · Statistics 2022-01-11 Qiang Zou , Qiqiang Zheng , Zhihong Tang , Shuming Gao

Many selection problems are multilayered: agents first decide whether to participate and then sort among ordered or unordered categories. This paper shows that the sorting layer changes the geometry of identification. Unlike binary…

Econometrics · Economics 2026-05-26 Dongwoo Kim

Rectangular designs are classified as regular, Latin regular, semiregular, Latin semiregular and singular designs. Some series of selfdual as well as alpharesolvable designs are obtained using matrix approaches which belong to the above…

Combinatorics · Mathematics 2022-06-02 Mithilesh Kumar Singh , Shyam Saurabh

In this study, we demonstrate a sequential experimental design for spectral measurements by active learning using parametric models as predictors. In spectral measurements, it is necessary to reduce the measurement time because of sample…

Machine Learning · Computer Science 2023-05-15 Tomohiro Nabika , Kenji Nagata , Shun Katakami , Masaichiro Mizumaki , Masato Okada

The geometric design of structures with optimized physical and chemical properties is one of the core topics in materials science. However, designing new functional materials is challenging due to the vast number of existing and the…

Optics · Physics 2025-07-17 Congcong Cui , Guangfeng Wei , Matthias Saba , Yuanyuan Cao , Lu Han

Classification is an important task in many fields including biomedical research and machine learning. Traditionally, a classification rule is constructed based a bunch of labeled data. Recently, due to technological innovation and…

Methodology · Statistics 2014-06-19 Jing Wang , Eunsik Park , Yuan-chin Ivan Chang

Unsupervised machine learning lacks ground truth by definition. This poses a major difficulty when designing metrics to evaluate the performance of such algorithms. In sharp contrast with supervised learning, for which plenty of quality…

Machine Learning · Computer Science 2023-03-20 Raúl Lara-Cabrera , Ángel González-Prieto , Diego Pérez-López , Diego Trujillo , Fernando Ortega

The concept of nonlinear modes is useful for the dynamical characterization of nonlinear mechanical systems. While efficient and broadly applicable methods are now available for the computation of nonlinear modes, nonlinear modal testing is…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Maren Scheel , Simon Peter , Remco I. Leine , Malte Krack

The science of fractography revolves around the correlation between topographic characteristics of the fracture surface and the mechanisms and external conditions leading to their creation. While being a topic of investigation for…

Image and Video Processing · Electrical Eng. & Systems 2020-05-11 Stylianos Tsopanidis , Raúl Herrero Moreno , Shmuel Osovski

The nonperturbative modification of the evolution equation for QCD generating functional is applied to the analysis of the factorial moments of the intrajet particle distributions in QCD. Nonperturbative preasymptotic correction to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Leonidov , D. M. Ostrovsky

Calibration of expensive simulation models involves an emulator based on simulation outputs generated across various parameter settings to replace the actual model. Noisy outputs of stochastic simulation models require many simulation…

Methodology · Statistics 2025-05-08 Özge Sürer

Computation models such as circuits describe sequences of computation steps that are carried out one after the other. In other words, algorithm design is traditionally subject to the restriction imposed by a fixed causal order. We address a…

Quantum Physics · Physics 2017-07-04 Ämin Baumeler , Stefan Wolf

This paper reports on application of bootstrap nonlinear regression method to a design of an experiment dataset with fewer experimental runs. Design with desired properties was augmented and verified using graphical techniques. The…

Dynamic regression trees are an attractive option for automatic regression and classification with complicated response surfaces in on-line application settings. We create a sequential tree model whose state changes in time with the…

Methodology · Statistics 2010-11-23 Matthew A. Taddy , Robert B. Gramacy , Nicholas G. Polson

Quantum pseudorandomness, also known as unitary designs, comprise a powerful resource for quantum computation and quantum engineering. While it is known in theory that pseudorandom unitary operators can be constructed efficiently, realizing…

Quantum Physics · Physics 2019-07-24 Jun Li , Zhihuang Luo , Tao Xin , Hengyan Wang , David Kribs , Dawei Lu , Bei Zeng , Raymond Laflamme

Background: trials to identify the minimal effective treatment duration are needed in different therapeutic areas, including bacterial infections, TB and Hepatitis--C. However, standard non-inferiority designs have several limitations,…

This article explores search strategies for the design of parameterized quantum circuits. We propose several optimization approaches including random search plus survival of the fittest, reinforcement learning both with classical and hybrid…

Quantum Physics · Physics 2021-01-05 Mohammad Pirhooshyaran , Tamas Terlaky