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In this work we address the subspace recovery problem. Given a set of data samples (vectors) approximately drawn from a union of multiple subspaces, our goal is to segment the samples into their respective subspaces and correct the possible…

信息论 · 计算机科学 2013-01-29 Guangcan Liu , Zhouchen Lin , Shuicheng Yan , Ju Sun , Yong Yu , Yi Ma

We provide a solution to the problem of receding horizon control for stochastic discrete-time systems with bounded control inputs and imperfect state measurements. For a suitable choice of control policies, we show that the finite-horizon…

最优化与控制 · 数学 2010-04-15 Peter Hokayem , Eugenio Cinquemani , Debasish Chatterjee , Federico Ramponi , John Lygeros

``Sim2real gap", in which the system learned in simulations is not the exact representation of the real system, can lead to loss of stability and performance when controllers learned using data from the simulated system are used on the real…

系统与控制 · 电气工程与系统科学 2025-05-15 Shivam Bajaj , Prateek Jaiswal , Vijay Gupta

We introduce a novel data-driven method to mitigate the risk of cascading failures in delayed discrete-time Linear Time-Invariant (LTI) systems. Our approach involves formulating a distributionally robust finite-horizon optimal control…

最优化与控制 · 数学 2023-10-19 Guangyi Liu , Arash Amini , Vivek Pandey , Nader Motee

Quantum control is concerned with the realisation of desired dynamics in quantum systems, serving as a linchpin for advancing quantum technologies and fundamental research. Analytic approaches and standard optimisation algorithms do not…

量子物理 · 物理学 2025-05-29 Jan Ole Ernst , Aniket Chatterjee , Tim Franzmeyer , Axel Kuhn

Data-driven control methods based on subspace representations are powerful but are often limited to linear time-invariant systems where the model order is known. A key challenge is developing online data-driven control algorithms for…

最优化与控制 · 数学 2026-04-13 Dian Jin , Jeremy Coulson

Fitting generative models to sequential data typically involves two recursive computations through time, one forward and one backward. The latter could be a computation of the loss gradient (as in backpropagation through time), or an…

机器学习 · 计算机科学 2023-10-23 Azwar Abdulsalam , Joseph G. Makin

The task of compression of data -- as stated by the source coding theorem -- is one of the cornerstones of information theory. Data compression usually exploits statistical redundancies in the data according to its prior distribution.…

量子物理 · 物理学 2021-01-08 Matheus Capela , Fabio Costa

We consider lossy compression of an information source when the decoder has lossless access to a correlated one. This setup, also known as the Wyner-Ziv problem, is a special case of distributed source coding. To this day, real-world…

信息论 · 计算机科学 2023-05-09 Ezgi Ozyilkan , Johannes Ballé , Elza Erkip

Large-scale simulations of time-dependent problems generate a massive amount of data and with the explosive increase in computational resources the size of the data generated by these simulations has increased significantly. This has…

计算工程、金融与科学 · 计算机科学 2022-01-19 Shaghayegh Zamani Ashtiani , Mujeeb R. Malik , Hessam Babaee

Machine learning at the edge offers great benefits such as increased privacy and security, low latency, and more autonomy. However, a major challenge is that many devices, in particular edge devices, have very limited memory, weak…

机器学习 · 计算机科学 2019-09-05 Yang Li , Thomas Strohmer

We consider the problem of controlling an unknown linear time-invariant dynamical system from a single chain of black-box interactions, with no access to resets or offline simulation. Under the assumption that the system is controllable, we…

机器学习 · 计算机科学 2021-02-19 Xinyi Chen , Elad Hazan

Recent advances in deep generative modeling have enabled efficient modeling of high dimensional data distributions and opened up a new horizon for solving data compression problems. Specifically, autoencoder based learned image or video…

机器学习 · 计算机科学 2020-04-10 Adam Golinski , Reza Pourreza , Yang Yang , Guillaume Sautiere , Taco S Cohen

This work addresses inverse linear optimization where the goal is to infer the unknown cost vector of a linear program. Specifically, we consider the data-driven setting in which the available data are noisy observations of optimal…

最优化与控制 · 数学 2021-12-07 Rishabh Gupta , Qi Zhang

Class incremental learning consists in training discriminative models to classify an increasing number of classes over time. However, doing so using only the newly added class data leads to the known problem of catastrophic forgetting of…

机器学习 · 计算机科学 2024-05-15 Quentin Ferdinand , Gilles Le Chenadec , Benoit Clement , Panagiotis Papadakis , Quentin Oliveau

A learning-based framework for representation of domain-specific images is proposed where joint compression and denoising can be done using a VQ-based multi-layer network. While it learns to compress the images from a training set, the…

计算机视觉与模式识别 · 计算机科学 2017-07-10 Sohrab Ferdowsi , Slava Voloshynovskiy , Dimche Kostadinov

Motivated by the emerging needs of personalized preventative intervention in many healthcare applications, we consider a multi-stage, dynamic decision-making problem in the online setting with unknown model parameters. To deal with the…

机器学习 · 计算机科学 2022-11-17 Xinyun Chen , Pengyi Shi , Shanwen Pu

We introduce a neural network architecture that logarithmically reduces the number of self-rehearsal steps in the generative rehearsal of continually learned models. In continual learning (CL), training samples come in subsequent tasks, and…

机器学习 · 计算机科学 2022-01-19 Wojciech Masarczyk , Paweł Wawrzyński , Daniel Marczak , Kamil Deja , Tomasz Trzciński

We propose a computationally efficient Learning Model Predictive Control (LMPC) scheme for constrained optimal control of a class of nonlinear systems where the state and input can be reconstructed using lifted outputs. For the considered…

最优化与控制 · 数学 2021-01-19 Siddharth H. Nair , Ugo Rosolia , Francesco Borrelli

The paper describes a receding horizon control design framework for continuous-time stochastic nonlinear systems subject to probabilistic state constraints. The intention is to derive solutions that are implementable in real-time on…

系统与控制 · 计算机科学 2012-11-20 Shridhar K. Shah , Herbert G. Tanner , Chetan D. Pahlajani