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The Parameterized Inapproximability Hypothesis (PIH), which is an analog of the PCP theorem in parameterized complexity, asserts that, there is a constant $\varepsilon> 0$ such that for any computable function $f:\mathbb{N}\to\mathbb{N}$,…

Computational Complexity · Computer Science 2024-06-13 Venkatesan Guruswami , Bingkai Lin , Xuandi Ren , Yican Sun , Kewen Wu

Covariate adjustment is a ubiquitous method used to estimate the average treatment effect (ATE) from observational data. Assuming a known graphical structure of the data generating model, recent results give graphical criteria for optimal…

Statistics Theory · Mathematics 2025-12-08 Alexander Mangulad Christgau , Anton Rask Lundborg , Niels Richard Hansen

This paper proposes an algorithm to estimate the parameters, including time delay, of continuous time systems based on instrumental variable identification methods. To overcome the multiple local minima of the cost function associated with…

Statistics Theory · Mathematics 2018-07-24 Huong Ha , James S. Welsh , Mazen Alamir

Practitioners conducting adaptive experiments often encounter two competing priorities: maximizing total welfare (or `reward') through effective treatment assignment and swiftly concluding experiments to implement population-wide…

Machine Learning · Computer Science 2024-07-31 Chao Qin , Daniel Russo

Hamilton-Jacobi partial differential equations (HJ PDEs) have deep connections with a wide range of fields, including optimal control, differential games, and imaging sciences. By considering the time variable to be a higher dimensional…

Machine Learning · Computer Science 2023-12-12 Paula Chen , Tingwei Meng , Zongren Zou , Jérôme Darbon , George Em Karniadakis

Appropriate time discretization is crucial for real-time applications of numerical optimal control, such as nonlinear model predictive control. However, if the discretization error strongly depends on the applied control input, meeting…

Optimization and Control · Mathematics 2024-09-17 Amon Lahr , Filip Tronarp , Nathanael Bosch , Jonathan Schmidt , Philipp Hennig , Melanie N. Zeilinger

This work focuses on understanding the minimum eradication time for the controlled Susceptible-Infectious-Recovered (SIR) model in the time-homogeneous setting, where the infection and recovery rates are constant. The eradication time is…

Optimization and Control · Mathematics 2026-01-27 Minseok Kim , Yeongjong Kim , Yeoneung Kim

Computer vision algorithms are known to be extremely sensitive to the environmental conditions in which the data is captured, e.g., lighting conditions and target density. Tuning of parameters or choosing a completely new algorithm is often…

Computer Vision and Pattern Recognition · Computer Science 2016-05-24 Shu Zhang , Qi Zhu , Amit Roy-Chowdhury

Human Mesh Recovery (HMR) is the task of estimating a parameterized 3D human mesh from an image. There is a kind of methods first training a regression model for this problem, then further optimizing the pretrained regression model for any…

Computer Vision and Pattern Recognition · Computer Science 2024-10-31 Yongwei Nie , Mingxian Fan , Chengjiang Long , Qing Zhang , Jian Zhu , Xuemiao Xu

Accurate particle identification (PID) is one of the most important aspects of the LHCb experiment. Modern machine learning techniques such as neural networks (NNs) are efficiently applied to this problem and are integrated into the LHCb…

Data Analysis, Statistics and Probability · Physics 2020-08-26 Artem Ryzhikov , Denis Derkach , Mikhail Hushchyn

To be fully useful for public health practice, models for epidemic response must be able to do more than predict -- it is also important to incorporate the mechanisms underlying transmission dynamics to enable policymakers and practitioners…

Quantitative Methods · Quantitative Biology 2025-05-26 Jiale Tan , Marisa C. Eisenberg

This paper considers unconstrained convex optimization problems with time-varying objective functions. We propose algorithms with a discrete time-sampling scheme to find and track the solution trajectory based on prediction and correction…

Information Theory · Computer Science 2017-09-18 Andrea Simonetto , Aryan Mokhtari , Alec Koppel , Geert Leus , Alejandro Ribeiro

This paper is about numerical control of HIV propagation. The contribution of the paper is threefold: first, a novel model of HIV propagation is proposed; second, the methods from numerical optimal control are successfully applied to the…

Systems and Control · Computer Science 2023-05-30 Dmitry Gromov , Ingo Bulla , Ethan O. Romero-Severson , Oana Silvia Serea

Mixed Integer Programming (MIP) is one of the most widely used modeling techniques for combinatorial optimization problems. In many applications, a similar MIP model is solved on a regular basis, maintaining remarkable similarities in model…

Artificial Intelligence · Computer Science 2019-09-10 Jian-Ya Ding , Chao Zhang , Lei Shen , Shengyin Li , Bing Wang , Yinghui Xu , Le Song

We consider stochastic optimization problems where data is drawn from a Markov chain. Existing methods for this setting crucially rely on knowing the mixing time of the chain, which in real-world applications is usually unknown. We propose…

Machine Learning · Computer Science 2023-07-14 Ron Dorfman , Kfir Y. Levy

We discuss methods for {\em a priori} selection of parameters to be estimated in inverse problem formulations (such as Maximum Likelihood, Ordinary and Generalized Least Squares) for dynamical systems with numerous state variables and an…

Quantitative Methods · Quantitative Biology 2020-04-20 H. T. Banks , Ariel Cintrón-Arias

This paper is devoted to the error analysis of a time-spectral algorithm for fractional diffusion problems of order $\alpha$ ($0 < \alpha < 1$). The solution regularity in the Sobolev space is revisited, and new regularity results in the…

Numerical Analysis · Mathematics 2021-06-08 Hao Luo , Xiaoping Xie

We consider a hybrid FEM-BEM method to compute approximations of full-space linear elliptic transmission problems. First, we derive a priori and a posteriori error estimates. Then, building on the latter, we present an adaptive algorithm…

Numerical Analysis · Mathematics 2025-04-30 Gregor Gantner , Michele Ruggeri

Online parameter identification is of importance, e.g., for model predictive control. Since the parameters have to be identified simultaneously to the process of the modeled system, dynamical update laws are used for state and parameter…

Numerical Analysis · Mathematics 2016-04-20 Romana Boiger , Barbara Kaltenbacher

Many practical applications require solving an optimization over large and high-dimensional data sets, which makes these problems hard to solve and prohibitively time consuming. In this paper, we propose a parallel distributed algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-12-03 Elad Gilboa , Phani Chavali , Peng Yang , Arye Nehorai
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