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We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differential equations. The adaptive method is a piecewise collocation method which utilizes Poly-Sinc interpolation to reach a preset level of…

数值分析 · 数学 2022-09-29 Omar Khalil , Hany El-Sharkawy , Maha Youssef , Gerd Baumann

In this paper we present an information theoretic approach to stochastic optimal control problems for systems with compound Poisson noise. We generalize previous work on information theoretic path integral control to discontinuous dynamics…

最优化与控制 · 数学 2019-07-03 Ziyi Wang , Grady Williams , Evangelos A. Theodorou

This paper introduces a drift optimization model of stochastic optimization problems driven by regulated stochastic processes. A broad range of problems across operations research, machine learning, and statistics can be viewed as…

最优化与控制 · 数学 2025-06-10 Zihe Zhou , Harsha Honnappa , Raghu Pasupathy

Influence Maximization (IM) is a crucial problem in data science. The goal is to find a fixed-size set of highly-influential seed vertices on a network to maximize the influence spread along the edges. While IM is NP-hard on commonly-used…

数据结构与算法 · 计算机科学 2024-02-06 Letong Wang , Xiangyun Ding , Yan Gu , Yihan Sun

We introduce a new method, stepwise method for solving optimal con- trol problems. Our first motivation for new approach emanate from limi- tations on continuous time control functions in PMP. Practically in most of the real world models,…

最优化与控制 · 数学 2015-06-26 Mehdi Afshar , Farshad Merrikhbayat , Mohammad Reza Razvan

This paper introduces a method for Model Predictive Path Integral (MPPI) control that optimizes sample generation towards an optimal trajectory through Stein Variational Gradient Descent (SVGD). MPPI relies upon predictive rollout of…

机器人学 · 计算机科学 2026-04-01 Jace Aldrich , Odest Chadwicke Jenkins

We consider the simulation of isentropic flow in pipelines and pipe networks. Standard operating conditions in pipe networks suggest an emphasis to simulate low Mach and high friction regimes -- however, the system is stiff in these regimes…

数值分析 · 数学 2025-07-22 Michael Redle , Michael Herty

Inverse Optimal Control (IOC) seeks to recover an unknown cost from expert demonstrations, and it provides a systematic way of modeling experts' decision mechanisms while considering the prior information of the cost functions.…

最优化与控制 · 数学 2025-12-01 Ziliang Wang , Han Zhang , Axel Ringh

Sparse polynomial chaos expansions (PCE) are an efficient and widely used surrogate modeling method in uncertainty quantification for engineering problems with computationally expensive models. To make use of the available information in…

统计计算 · 统计学 2021-07-26 Nora Lüthen , Stefano Marelli , Bruno Sudret

This paper proposes a novel optimization framework for discrete phase shifts of a reconfigurable intelligent surface (RIS) using a coherent Ising machine (CIM). Unlike conventional methods based on iterative convex approximation or…

Automated patent claim validation demands low error tolerance. However, existing approaches face a rigidity-resource dilemma: lightweight encoders cannot track long-range legal dependencies, while exhaustive LLM verification incurs 4-5X…

计算与语言 · 计算机科学 2026-05-28 Yongmin Yoo , Qiongkai Xu , Longbing Cao

Diffusion-based samplers -- Score Based Diffusions, Bridge Diffusions and Path Integral Diffusions -- match a target at terminal time, but the real leverage comes from choosing the schedule that governs the intermediate-time dynamics. We…

机器学习 · 计算机科学 2025-12-16 Michael Chertkov , Hamidreza Behjoo

Dynamic sparsity, where the sparsity patterns are unknown until runtime, poses a significant challenge to deep learning. The state-of-the-art sparsity-aware deep learning solutions are restricted to pre-defined, static sparsity patterns due…

Motion planning is a fundamental problem in autonomous robotics that requires finding a path to a specified goal that avoids obstacles and takes into account a robot's limitations and constraints. It is often desirable for this path to also…

机器人学 · 计算机科学 2021-01-14 Jonathan D. Gammell , Marlin P. Strub

Selection of perefect parameters for low-pass filters can sometimes be an expensive problem with no analytical solution or differentiability of cost function. In this paper, we introduce a new PSO-inspired algorithm, that incorporates the…

最优化与控制 · 数学 2024-02-20 Dmytro Shchyrba , Izabela Paniczek

Edge-preserving smoothing (EPS) can be formulated as minimizing an objective function that consists of data and prior terms. This global EPS approach shows better smoothing performance than a local one that typically has a form of weighted…

计算机视觉与模式识别 · 计算机科学 2016-04-27 Youngjung Kim , Dongbo Min , Bumsub Ham , Kwanghoon Sohn

Prompt-based models have demonstrated impressive prompt-following capability at image editing tasks. However, the models still struggle with following detailed editing prompts or performing local edits. Specifically, global image quality…

图形学 · 计算机科学 2025-10-20 Kenan Tang , Yanhong Li , Yao Qin

Uncertainty estimation is critical in high-stakes machine learning applications. One effective way to estimate uncertainty is conformal prediction, which can provide predictive inference with statistical coverage guarantees. We present a…

机器学习 · 计算机科学 2023-11-03 Nathaniel Diamant , Ehsan Hajiramezanali , Tommaso Biancalani , Gabriele Scalia

We propose a novel reformulation of the stochastic optimal control problem as an approximate inference problem, demonstrating, that such a interpretation leads to new practical methods for the original problem. In particular we characterise…

机器学习 · 计算机科学 2010-09-22 Konrad Rawlik , Marc Toussaint , Sethu Vijayakumar

In this paper, we present a new trajectory optimization algorithm for stochastic linear systems which combines Model Predictive Path Integral (MPPI) control with Constrained Covariance Steering (CSS) to achieve high performance with safety…

最优化与控制 · 数学 2022-04-21 Isin M. Balci , Efstathios Bakolas , Bogdan Vlahov , Evangelos Theodorou