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We consider the constrained Linear Inverse Problem (LIP), where a certain atomic norm (like the $\ell_1 $ norm) is minimized subject to a quadratic constraint. Typically, such cost functions are non-differentiable, which makes them not…

最优化与控制 · 数学 2025-07-08 Mohammed Rayyan Sheriff , Floor Fenne Redel , Peyman Mohajerin Esfahani

This paper is concerned with optimal power flow (OPF), which is the problem of optimizing the transmission of electricity in power systems. Our main contributions are as follows: (i) we propose a novel parabolic relaxation, which transforms…

最优化与控制 · 数学 2018-09-27 Fariba Zohrizadeh , Mohsen Kheirandishfard , Edward Quarm , Ramtin Madani

Densest Subgraph Problem (DSP) is an important primitive problem with a wide range of applications, including fraud detection, community detection and DNA motif discovery. Edge-based density is one of the most common metrics in DSP.…

数据库 · 计算机科学 2023-10-31 Yugao Zhu , Shenghua Liu , Wenjie Feng , Xueqi Cheng

In the post-Moore era, the need for efficient solutions to non-deterministic polynomial-time (NP) problems is becoming more pressing. In this context, the Ising model implemented by the probabilistic computing systems with probabilistic…

应用物理 · 物理学 2025-02-28 Chao Fang , Yihan He , Xiao Gong , Gengchiau Liang

Finding sparse solutions of underdetermined systems of linear equations is a fundamental problem in signal processing and statistics which has become a subject of interest in recent years. In general, these systems have infinitely many…

机器学习 · 统计学 2010-09-21 Arash Ali Amini , Massoud Babaie-Zadeh , Christian Jutten

We present a new mixed integer formulation for the discrete informative path planning problem in random fields. The objective is to compute a budget constrained path while collecting measurements whose linear estimate results in minimum…

系统与控制 · 电气工程与系统科学 2022-04-21 Shamak Dutta , Nils Wilde , Stephen L. Smith

Packing and vehicle routing problems play an important role in the area of supply chain management. In this paper, we introduce a non-linear knapsack problem that occurs when packing items along a fixed route and taking into account travel…

数据结构与算法 · 计算机科学 2015-04-16 Sergey Polyakovskiy , Frank Neumann

Effective resource utilization and decreased makespan in heterogeneous High Performance Computing (HPC) environments are key benefits of workload mapping and scheduling. Tools such as Snakemake, a workflow management solution, employ…

分布式、并行与集群计算 · 计算机科学 2025-06-03 Aasish Kumar Sharma , Julian Kunkel

Industrially relevant constrained optimization problems, such as portfolio optimization and portfolio rebalancing, are often intractable or difficult to solve exactly. In this work, we propose and benchmark a decomposition pipeline…

In this paper, we demonstrate that in many NP-complete variants of the stable matching problem, such as the Stable Hypergraph Matching problem, the Stable Multicommodity Flow problem, and the College Admission problem with common quotas, a…

计算机科学与博弈论 · 计算机科学 2025-02-11 Gergely Csáji

LLM API calls are becoming a ubiquitous program construct, yet they create a boundary that no existing program analysis can cross: runtime values enter a natural-language prompt, undergo opaque processing inside the LLM, and re-emerge as…

软件工程 · 计算机科学 2026-05-27 Zihao Xu , Xiao Cheng , Ruijie Meng , Yuekang Li

Structured output prediction problems (e.g., sequential tagging, hierarchical multi-class classification) often involve constraints over the output label space. These constraints interact with the learned models to filter infeasible…

机器学习 · 计算机科学 2021-06-14 Tao Meng , Kai-Wei Chang

We analyse three time integration schemes for unfitted methods in fluid structure interaction. In Alghorithm 1 we propose a fully discrete monolithic algorithm with P1 P1 stabilized finite elements for the fluid problem; for this alghorithm…

数值分析 · 数学 2021-05-27 Michele Annese

Binary decompilation plays a vital role in various cybersecurity and software engineering tasks. Recently, end-to-end decompilation methods powered by large language models (LLMs) have garnered significant attention due to their ability to…

软件工程 · 计算机科学 2025-05-27 Peipei Liu , Jian Sun , Rongkang Sun , Li Chen , Zhaoteng Yan , Peizheng Zhang , Dapeng Sun , Dawei Wang , Xiaoling Zhang , Dan Li

We study the following fundamental network optimization problem known as Maximum Robust Flow (MRF): A planner determines a flow on $s$-$t$-paths in a given capacitated network. Then, an adversary removes $k$ arcs from the network,…

离散数学 · 计算机科学 2025-11-11 Jannik Matuschke

We provide a framework for the design and analysis of dynamic programming algorithms for surface-embedded graphs on n vertices and branchwidth at most k. Our technique applies to general families of problems where standard dynamic…

数据结构与算法 · 计算机科学 2015-03-19 Juanjo Rué , Ignasi Sau , Dimitrios M. Thilikos

This paper addresses two critical challenges in analog In-Memory Computing (IMC) systems that limit their scalability and deployability: the computational unreliability caused by stuck-at faults (SAFs) and the high compilation overhead of…

硬件体系结构 · 计算机科学 2025-08-22 Kang Eun Jeon , Sangheum Yeon , Jinhee Kim , Hyeonsu Bang , Johnny Rhe , Jong Hwan Ko

Information flow is the branch of security that studies the leakage of information due to correlation between secrets and observables. Since in general such correlation cannot be avoided completely, it is important to quantify the leakage.…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Yusuke Kawamoto , Konstantinos Chatzikokolakis , Catuscia Palamidessi

We consider the problem of learning optimal binary classification trees. Literature on the topic has burgeoned in recent years, motivated both by the empirical suboptimality of heuristic approaches and the tremendous improvements in…

机器学习 · 统计学 2020-05-14 Sina Aghaei , Andres Gomez , Phebe Vayanos

In this paper we apply a reduced basis framework for the computation of flow bifurcation (and stability) problems in fluid dynamics. The proposed method aims at reducing the complexity and the computational time required for the…

数值分析 · 数学 2018-01-04 Giuseppe Pitton , Gianluigi Rozza
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