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We consider the maximization of a submodular objective function $f:2^U\to\mathbb{R}_{\geq 0}$, where the objective $f$ is not accessed as a value oracle but instead subject to noisy queries. We introduce a versatile adaptive sampling…

Data Structures and Algorithms · Computer Science 2024-04-11 Wenjing Chen , Shuo Xing , Victoria G. Crawford

This paper considers the classification of linear subspaces with mismatched classifiers. In particular, we assume a model where one observes signals in the presence of isotropic Gaussian noise and the distribution of the signals conditioned…

Information Theory · Computer Science 2016-05-04 Jure Sokolic , Francesco Renna , Robert Calderbank , Miguel R. D. Rodrigues

We study the question of how best to assign an encouragement in a randomized encouragement study. In our setting, units arrive with covariates, receive a nudge toward treatment or control, acquire one of those statuses in a way that need…

Methodology · Statistics 2025-05-12 Tim Morrison , Minh Nguyen , Jonathan Chen , Michael Baiocchi , Art B. Owen

Loewner rational interpolation provides a versatile tool to learn low-dimensional dynamical-system models from frequency-response measurements. This work investigates the robustness of the Loewner approach to noise. The key finding is that…

Numerical Analysis · Mathematics 2020-11-06 Zlatko Drmač , Benjamin Peherstorfer

Products of Gaussian noises often emerge as the result of non-linear detection techniques or as a parasitic effect, and their proper handling is important in many practical applications, including in fluctuation-enhanced sensing, indoor air…

Data Analysis, Statistics and Probability · Physics 2013-01-07 L. B. Kish , R. Mingesz , Z. Gingl , C. G. Granqvist

We demonstrate a lumped-element Josephson parametric amplifier, using a single-ended design that includes an on-chip, high-bandwidth flux bias line. The amplifier can be pumped into its region of parametric gain through either the input…

We describe a microwave amplifier based on the Superconducting Low-inductance Undulatory Galvanometer (SLUG). The SLUG is embedded in a microstrip resonator, and the signal current is injected directly into the device loop. Measurements at…

Superconductivity · Physics 2015-05-30 D. Hover , Y. -F. Chen , G. J. Ribeill , S. Zhu , S. Sendelbach , R. McDermott

Parametric amplifiers have allowed breakthroughs in ultrafast, strong-field, and high-energy density laser science and are an essential tool for extending the frequency range of powerful emerging diode-pumped solid-state laser technology.…

Gaussian random number generators attract a widespread interest due to their applications in several fields. Important requirements include easy implementation, tail accuracy, and, finally, a flat spectrum. In this work, we study the…

Information Theory · Computer Science 2024-04-04 Francisco-Javier Soto , Ana I. Gómez , Domingo Gómez-Pérez

We examine heralded nondeterministic noiseless amplification based on the quantum scissors device, which has been shown to increase the one-photon amplitude of a state at the expense of the vacuum-state amplitude. Here we propose using the…

Quantum Physics · Physics 2015-03-17 John Jeffers

In process operations, it is desirable to manage the sensitivity of the system output against external disturbance in the form of finite $\mathcal{L}_2$-gain stabilization. This matter is, however, nonsensical for stochastic systems because…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Yitao Yan , Shuangyu Han , Jie Bao , Biao Huang

Approximate circuit design has gained significance in recent years targeting error tolerant applications. In this paper, we first demonstrate that the commonly used assumption that the inputs to the adder are uniformly distributed results…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Celia Dharmaraj , Vinita Vasudevan , Nitin Chandrachoodan

This paper deals with linear equalization in massive multi-user multiple-input multiple-output (MU-MIMO) wireless systems. We first provide simple conditions on the antenna configuration for which the well-known linear minimum mean-square…

Information Theory · Computer Science 2018-11-12 Ramina Ghods , Charles Jeon , Gulnar Mirza , Arian Maleki , Christoph Studer

This paper is concerned with incremental stability properties of nonlinear systems. We propose conditions to compute an upper bound on the incremental L2-gain and to assess incremental asymptotic stability of piecewise-affine (PWA) systems.…

Systems and Control · Computer Science 2016-11-28 Sérgio Waitman , Paolo Massioni , Laurent Bako , Gérard Scorletti , Vincent Fromion

We develop a general theory for the goodness-of-fit test to non-linear models. In particular, we assume that the observations are noisy samples of a submanifold defined by a \yao{sufficiently smooth non-linear map}. The observation noise is…

Machine Learning · Statistics 2020-11-12 Alexander Shapiro , Yao Xie , Rui Zhang

The paper deals with the problem of output regulation of nonlinear systems by presenting a learning-based adaptive internal model-based design strategy. We borrow from the adaptive internal model design technique recently proposed in [1]…

Systems and Control · Electrical Eng. & Systems 2022-06-27 Lorenzo Gentilini , Michelangelo Bin , Lorenzo Marconi

We propose a method to detect model misspecifications in nonlinear causal additive and potentially heteroscedastic noise models. We aim to identify predictor variables for which we can infer the causal effect even in cases of such…

Methodology · Statistics 2024-03-28 Christoph Schultheiss , Peter Bühlmann

In any wireless communication environment in which a transmitter creates interference to the others, a system of non-linear equations arises. Its form (for 2 terminals) is p1=g1(p2;a1) and p2=g2(p1;a2), with p1, p2 power levels; a1, a2…

Information Theory · Computer Science 2009-01-07 Virgilio Rodriguez , Rudolf Mathar , Anke Schmeink

We characterize a novel Josephson parametric amplifier based on a flux-tunable quarter-wavelength resonator. The fundamental resonance frequency is ~1GHz, but we use higher modes of the resonator for our measurements. An on-chip tuning line…

Mesoscale and Nanoscale Physics · Physics 2015-11-12 M. Simoen , C. W. S. Chang , P. Krantz , Jonas Bylander , W. Wustmann , V. Shumeiko , P. Delsing , C. M. Wilson

We present a constructive approach to bounded $\ell_2$-gain adaptive control with noisy measurements for linear time-invariant scalar systems with uncertain parameters belonging to a finite set. The gain bound refers to the closed-loop…

Optimization and Control · Mathematics 2022-02-18 Olle Kjellqvist , Anders Rantzer