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Quantile regression (QR) is a powerful tool for estimating one or more conditional quantiles of a target variable $\mathrm{Y}$ given explanatory features $\boldsymbol{\mathrm{X}}$. A limitation of QR is that it is only defined for scalar…

Computation · Statistics 2023-06-05 Aviv A. Rosenberg , Sanketh Vedula , Yaniv Romano , Alex M. Bronstein

Compound AI Systems, integrating multiple interacting components like models, retrievers, and external tools, have emerged as essential for addressing complex AI tasks. However, current implementations suffer from inefficient resource…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-19 Gohar Irfan Chaudhry , Esha Choukse , Íñigo Goiri , Rodrigo Fonseca , Adam Belay , Ricardo Bianchini

In this paper, we investigate a special class of quadratic-constrained quadratic programming (QCQP) with semi-definite constraints. Traditionally, since such a problem is non-convex and N-hard, the neural network (NN) is regarded as a…

Machine Learning · Computer Science 2024-07-10 Xiucheng Wang , Qi Qiu , Nan Cheng

The Linear Quadratic Regulator (LQR) framework considers the problem of regulating a linear dynamical system perturbed by environmental noise. We compute the policy regret between three distinct control policies: i) the optimal online…

Optimization and Control · Mathematics 2020-02-10 Gautam Goel , Babak Hassibi

We study the problem of adaptive control of the linear quadratic regulator for systems in very high, or even infinite dimension. We demonstrate that while sublinear regret requires finite dimensional inputs, the ambient state dimension of…

Optimization and Control · Mathematics 2021-07-16 Juan C. Perdomo , Max Simchowitz , Alekh Agarwal , Peter Bartlett

We develop a hyperparameter optimisation algorithm, Automated Budget Constrained Training (AutoBCT), which balances the quality of a model with the computational cost required to tune it. The relationship between hyperparameters, model…

Machine Learning · Statistics 2024-02-06 Lukas Cironis , Jan Palczewski , Georgios Aivaliotis

Variational Quantum Algorithms (VQAs) are promising methods for solving combinatorial optimization problems on noisy intermediate-scale quantum (NISQ) devices. However, benchmarking VQAs is difficult due to their stochastic behavior and the…

We consider the problem of robust and adaptive model predictive control (MPC) of a linear system, with unknown parameters that are learned along the way (adaptive), in a critical setting where failures must be prevented (robust). This…

Machine Learning · Computer Science 2020-10-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

In this paper, we propose and analyze a new method for online linear quadratic regulator (LQR) control with a priori unknown time-varying cost matrices. The cost matrices are revealed sequentially with the potential for future values to be…

Optimization and Control · Mathematics 2023-02-22 Yitian Chen , Timothy L. Molloy , Tyler Summers , Iman Shames

Reliable controllers with high flexibility and performance are necessary for the control of intricate, advanced, and expensive systems such as aircraft, marine vessels, automotive vehicles, and satellites. Meanwhile, control allocation has…

Optimization and Control · Mathematics 2016-07-19 David Buzorgnia , Ali Khaki-Sedigh

Quantum Computing (QC) is undergoing a high rate of development, investment and research devoted to its improvement.However, there is little consensus in the industry and wider literature as to what improvement might consist of beyond…

Quantum Physics · Physics 2024-05-15 Jessica Park , Susan Stepney , Irene D'Amico

Quality control (QC) of MR images is essential to ensure that downstream analyses such as segmentation can be performed successfully. Currently, QC is predominantly performed visually and subjectively, at significant time and operator cost.…

Image and Video Processing · Electrical Eng. & Systems 2021-09-07 Richard Shaw , Carole H. Sudre , Sebastien Ourselin , M. Jorge Cardoso , Hugh G. Pemberton

Quantum phase estimation is a core task in quantum technologies ranging from metrology to quantum computing, where it appears as a key subroutine in various algorithms. Here, we quantitatively connect the performance of phase estimation…

Quantum Physics · Physics 2026-05-11 Felix Ahnefeld , Thomas Theurer , Martin B. Plenio

The control of neuronal networks, whether biological or neuromorphic, relies on tools for estimating parameters in the presence of model uncertainty. In this work, we explore the robustness of adaptive observers for neuronal estimation.…

Systems and Control · Electrical Eng. & Systems 2023-09-11 Raphael Schmetterling , Thiago B. Burghi , Rodolphe Sepulchre

Existing approaches to improve the performances of convolutional neural networks by optimizing the local architectures or deepening the networks tend to increase the size of models significantly. In order to deploy and apply the neural…

Computer Vision and Pattern Recognition · Computer Science 2020-01-22 Hui Zhu , Zhulin An , Kaiqiang Xu , Xiaolong Hu , Yongjun Xu

The performance of visual quality prediction models is commonly assumed to be closely tied to their ability to capture perceptually relevant image aspects. Models are thus either based on sophisticated feature extractors carefully designed…

Computer Vision and Pattern Recognition · Computer Science 2021-06-11 Sören Becker , Thomas Wiegand , Sebastian Bosse

This paper addresses computational challenges in estimating Quantile Regression with Selection (QRS). The estimation of the parameters that model self-selection requires the estimation of the entire quantile process several times. Moreover,…

Econometrics · Economics 2024-02-27 Santiago Pereda-Fernández

We give an efficient algorithm for learning a binary function in a given class C of bounded VC dimension, with training data distributed according to P and test data according to Q, where P and Q may be arbitrary distributions over X. This…

Machine Learning · Computer Science 2021-02-17 Adam Kalai , Varun Kanade

The expansion in automation of increasingly fast applications and low-power edge devices poses a particular challenge for optimization based control algorithms, like model predictive control. Our proposed machine-learning supported approach…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Hendrik Alsmeier , Anton Savchenko , Rolf Findeisen

All state-of-the-art coreference resolution (CR) models involve finetuning a pretrained language model. Whether the superior performance of one CR model over another is due to the choice of language model or other factors, such as the…

Computation and Language · Computer Science 2024-04-24 Ian Porada , Xiyuan Zou , Jackie Chi Kit Cheung
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