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This work proposes a general learned proximal alternating minimization algorithm, LPAM, for solving learnable two-block nonsmooth and nonconvex optimization problems. We tackle the nonsmoothness by an appropriate smoothing technique with…

Optimization and Control · Mathematics 2026-03-10 Yunmei Chen , Lezhi Liu , Lei Zhang

The Discrete Element Method is widely employed for simulating granular flows, but conventional integration techniques may produce unphysical results for simulations with static friction when particle size ratios exceed $R \approx 3$. These…

Computational Physics · Physics 2025-09-16 Dhairya R. Vyas , Julio M. Ottino , Richard M. Lueptow , Paul B. Umbanhowar

This paper presents a Nonlinear Model Predictive Control (NMPC) scheme targeted at motion planning for mechatronic motion systems, such as drones and mobile platforms. NMPC-based motion planning typically requires low computation times to…

Robotics · Computer Science 2024-10-28 Dries Dirckx , Mathias Bos , Bastiaan Vandewal , Lander Vanroye , Wilm Decré , Jan Swevers

The physics of turbulence in magnetized plasmas remains an unresolved problem. The most poorly understood aspect is intermittency -- spatio-temporal fluctuations superimposed on the self-similar turbulent motions. We employ a novel…

High Energy Astrophysical Phenomena · Physics 2025-05-21 Trung Ha , Joonas Nättilä , Jordy Davelaar , Lorenzo Sironi

For a nonlinear system (e.g. a robot) with its continuous state space trajectories constrained by a linear temporal logic specification, the synthesis of a low-level controller for mission execution often results in a non-convex…

Robotics · Computer Science 2020-09-08 Binghan He , Jaemin Lee , Ufuk Topcu , Luis Sentis

In Part I of this paper, we proposed and analyzed a novel algorithmic framework for the minimization of a nonconvex (smooth) objective function, subject to nonconvex constraints, based on inner convex approximations. This Part II is devoted…

Information Theory · Computer Science 2017-04-05 Gesualdo Scutari , Francisco Facchinei , Lorenzo Lampariello , Peiran Song , Stefania Sardellitti

This paper presents a method for automated healing as part of off-line automated troubleshooting. The method combines statistical learning with constraint optimization. The automated healing aims at locally optimizing radio resource…

Machine Learning · Computer Science 2016-11-15 Moazzam Islam Tiwana , Berna Sayrac , Zwi Altman

As we push the boundaries of performance in various vision tasks, the models grow in size correspondingly. To keep up with this growth, we need very aggressive pruning techniques for efficient inference and deployment on edge devices.…

Computer Vision and Pattern Recognition · Computer Science 2024-06-19 Xinglong Sun , Barath Lakshmanan , Maying Shen , Shiyi Lan , Jingde Chen , Jose Alvarez

There is a warning light for the loss of plant habitats worldwide that entails concerted efforts to conserve plant biodiversity. Thus, plant species classification is of crucial importance to address this environmental challenge. In recent…

Computer Vision and Pattern Recognition · Computer Science 2021-09-03 Boi M. Quach , Dinh V. Cuong , Nhung Pham , Dang Huynh , Binh T. Nguyen

We study the routing problem for vehicles with limited energy through a network of inhomogeneous charging nodes. This is substantially more complicated than the homogeneous node case studied in [1]. We seek to minimize the total elapsed…

Optimization and Control · Mathematics 2014-04-25 Sepideh Pourazarm , Christos G. Cassandras

In this paper we consider resource allocation problem stated as a convex minimization problem with linear constraints. To solve this problem, we use gradient and accelerated gradient descent applied to the dual problem and prove the…

Optimization and Control · Mathematics 2019-10-01 Anastasiya Ivanova , Pavel Dvurechensky , Alexander Gasnikov , Dmitry Kamzolov

We propose a low-rank tensor approach to approximate linear transport and nonlinear Vlasov solutions and their associated flow maps. The approach takes advantage of the fact that the differential operators in the Vlasov equation is tensor…

Numerical Analysis · Mathematics 2022-03-23 Wei Guo , Jing-Mei Qiu

Microfluidics provides a powerful and versatile technology to accurately control spatial and temporal conditions for cell culturing and can therefore be used to study cellular responses to gradients. Here we use Lattice Boltzmann methods…

Fluid Dynamics · Physics 2013-08-12 Simon Tanaka , Dagmar Iber

In this fluid dynamics video, results from high fidelity numerical simulations are presented, which have been carried out to study the flow and droplet dynamics of liquid sheets formed by two impinging jets. A three-dimensional…

Fluid Dynamics · Physics 2011-10-18 Xiaodong Chen , Prashant Khare , Dongjun Ma , Vigor Yang

We consider the problem of minimizing the sum of a convex function and a convex function composed with an injective linear mapping. For such problems, subject to a coercivity condition at fixed points of the corresponding Picard iteration,…

Optimization and Control · Mathematics 2018-02-07 Timo Aspelmeier , C. Charitha , D. Russell Luke

We propose a conceptually new method for solving nonlinear inverse scattering problems (ISPs) such as are commonly encountered in tomographic ultrasound imaging, seismology and other applications. The method is inspired by the theory of…

Mathematical Physics · Physics 2016-11-02 Howard W. Levinson , Vadim A. Markel

We propose and numerically solve a new variational model for automatic saliency detection in digital images. Using a non-local framework we consider a family of edge preserving functions combined with a new quadratic saliency detection…

Computer Vision and Pattern Recognition · Computer Science 2018-05-25 Iván Ramírez , Gonzalo Galiano , Emanuele Schiavi

Vision-Language Latent Diffusion Models (LDMs) (Rombach et al., 2022) provide powerful generative priors for inverse problems. However, existing LDM-based inverse solvers typically require a large number of neural function evaluations…

Machine Learning · Statistics 2026-05-11 Alessio Spagnoletti , Tim Y. J. Wang , Marcelo Pereyra , O. Deniz Akyildiz

The concave utility in the Network Utility Maximization (NUM) problem is only suitable for elastic flows. However, the networks with the multiclass traffic, the utility of inelastic traffic is usually represented by the sigmoidal function…

Systems and Control · Computer Science 2012-04-17 Phuong L. Vo , Nguyen H. Tran , Choong Seon Hong

The classical alternating current optimal power flow problem is highly nonconvex and generally hard to solve. Convex relaxations, in particular semidefinite, second-order cone, convex quadratic, and linear relaxations, have recently…

Optimization and Control · Mathematics 2019-08-08 Christian Bingane , Miguel F. Anjos , Sébastien Le Digabel