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The problem of interest is the minimization of a nonlinear function subject to nonlinear equality constraints using a sequential quadratic programming (SQP) method. The minimization must be performed while observing only noisy evaluations…

最优化与控制 · 数学 2021-10-12 Figen Oztoprak , Richard Byrd , Jorge Nocedal

The goal of robust motion planning consists of designing open-loop controls which optimally steer a system to a specific target region while mitigating uncertainties and disturbances which affect the dynamics. Recently, stochastic optimal…

最优化与控制 · 数学 2023-03-03 Clara Leparoux , Riccardo Bonalli , Bruno Hérissé , Frédéric Jean

Meaningful uncertainty quantification in computer vision requires reasoning about semantic information -- say, the hair color of the person in a photo or the location of a car on the street. To this end, recent breakthroughs in generative…

计算机视觉与模式识别 · 计算机科学 2022-12-02 Swami Sankaranarayanan , Anastasios N. Angelopoulos , Stephen Bates , Yaniv Romano , Phillip Isola

We present a method to solve planning problems involving sequential decision making in unpredictable environments while accomplishing a high level task specification expressed using the formalism of linear temporal logic. Our method…

机器人学 · 计算机科学 2015-06-16 Seyedshams Feyzabadi , Stefano Carpin

In this contribution we propose reduced order methods to fast and reliably solve parametrized optimal control problems governed by time dependent nonlinear partial differential equations. Our goal is to provide a tool to deal with the time…

数值分析 · 数学 2023-08-08 Francesco Ballarin , Gianluigi Rozza , Maria Strazzullo

Prompt tuning of large-scale vision-language models such as CLIP enables efficient task adaptation without updating model weights. However, it often leads to poor confidence calibration and unreliable predictive uncertainty. We address this…

In this paper we introduce a new procedure to solve nonlinear optimal control problems with delays which exploits indirect methods combined with numerical homotopy procedures. It is known that solving this kind of problems via indirect…

最优化与控制 · 数学 2017-09-14 Riccardo Bonalli , Bruno Hérissé , Emmanuel Trélat

Spatial mode demultiplexing was proved to be a successful tool for estimation of the separation between incoherent sources, allowing for sensitivity much below the Rayleigh limit. However, with the presence of measurement's noise,…

量子物理 · 物理学 2024-07-23 Fattah Sakuldee , Łukasz Rudnicki

Triangulation of a three-dimensional point from at least two noisy 2-D images can be formulated as a quadratically constrained quadratic program. We propose an algorithm to extract candidate solutions to this problem from its semidefinite…

最优化与控制 · 数学 2012-08-09 Chris Aholt , Sameer Agarwal , Rekha Thomas

We propose the use of controlled perturbations to address the challenging question of optimal active-set prediction for interior point methods. Namely, in the context of linear programming, we consider perturbing the inequality…

最优化与控制 · 数学 2016-02-18 Coralia Cartis , Yiming Yan

Bounds consistency is usually enforced on continuous constraints by first decomposing them into binary and ternary primitives. This decomposition has long been shown to drastically slow down the computation of solutions. To tackle this,…

人工智能 · 计算机科学 2007-05-23 Frederic Goualard , Laurent Granvilliers

The goal of this paper is to set a constraint programming framework to solve lot-sizing problems. More specifically, we consider a single-item lot-sizing problem with time-varying lower and upper bounds for production and inventory. The…

最优化与控制 · 数学 2019-07-05 Grigori German , Hadrien Cambazard , Jean-Philippe Gayon , Bernard Penz

Despite significant progress in text-to-image diffusion models, achieving precise spatial control over generated outputs remains challenging. ControlNet addresses this by introducing an auxiliary conditioning module, while ControlNet++…

计算机视觉与模式识别 · 计算机科学 2025-07-04 Nina Konovalova , Maxim Nikolaev , Andrey Kuznetsov , Aibek Alanov

We consider the problem of robotic planning under uncertainty in this paper. This problem may be posed as a stochastic optimal control problem, a solution to which is fundamentally intractable owing to the infamous "curse of…

系统与控制 · 电气工程与系统科学 2019-09-19 Mohamed Naveed Gul Mohamed , Suman Chakravorty , Dylan A. Shell

We present exact mixed-integer linear programming formulations for verifying the performance of first-order methods for parametric quadratic optimization. We formulate the verification problem as a mixed-integer linear program where the…

最优化与控制 · 数学 2026-05-29 Vinit Ranjan , Jisun Park , Stefano Gualandi , Andrea Lodi , Bartolomeo Stellato

This paper is concerned with the problem of Model Predictive Control and Rolling Horizon Control of discrete-time systems subject to possibly unbounded random noise inputs, while satisfying hard bounds on the control inputs. We use a…

最优化与控制 · 数学 2010-09-08 Peter Hokayem , Debasish Chatterjee , John Lygeros

Compared with constraint satisfaction problems, counting problems have received less attention. In this paper, we survey research works on the problems of counting the number of solutions to constraints. The constraints may take various…

人工智能 · 计算机科学 2020-12-29 Jian Zhang , Cunjing Ge , Feifei Ma

While several classes of integer linear optimization problems are known to be solvable in polynomial time, far fewer tractability results exist for integer nonlinear optimization. In this work, we narrow this gap by identifying a broad…

最优化与控制 · 数学 2026-02-09 Alberto Del Pia

In this work, we propose to efficiently solve time dependent parametrized optimal control problems governed by parabolic partial differential equations through the certified reduced basis method. In particular, we will exploit an error…

数值分析 · 数学 2021-03-10 Maria Strazzullo , Francesco Ballarin , Gianluigi Rozza

In this paper, we study a class of stochastic time-inconsistent linear-quadratic (LQ) control problems with control input constraints. These problems are investigated within the more general framework associated with random coefficients.…

最优化与控制 · 数学 2017-03-29 Ying Hu , Jianhui Huang , Xun Li