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In multi-objective optimization, several potentially conflicting objective functions need to be optimized. Instead of one optimal solution, we look for the set of so called non-dominated solutions. An important subset is the set of…

Discrete Mathematics · Computer Science 2023-04-24 Fritz Bökler , Levin Nemesch , Mirko H. Wagner

We present POLO --- a C++ library for large-scale parallel optimization research that emphasizes ease-of-use, flexibility and efficiency in algorithm design. It uses multiple inheritance and template programming to decompose algorithms into…

Optimization and Control · Mathematics 2018-10-09 Arda Aytekin , Martin Biel , Mikael Johansson

We present a structure-aware parallel presolve framework specialized to arrowhead linear programs (AHLPs) and designed for high-performance computing (HPC) environments, integrated into the parallel interior point solver PIPS-IPM++.…

Optimization and Control · Mathematics 2026-03-05 Nils-Christian Kempke , Stephen J Maher , Daniel Rehfeldt , Ambros Gleixner , Thorsten Koch , Svenja Uslu

Exactly solving multi-objective integer programming (MOIP) problems is often a very time consuming process, especially for large and complex problems. Parallel computing has the potential to significantly reduce the time taken to solve such…

Optimization and Control · Mathematics 2018-11-02 William Pettersson , Melih Ozlen

A major challenge in the deployment of scientific software solutions is the adaptation of research prototypes to production-grade code. While high-level languages like MATLAB are useful for rapid prototyping, they lack the resource…

Mathematical Software · Computer Science 2025-12-30 Conrad Sanderson , Ryan Curtin

Leveraging machine learning (ML) to predict an initial solution for mixed-integer linear programming (MILP) has gained considerable popularity in recent years. These methods predict a solution and fix a subset of variables to reduce the…

Machine Learning · Computer Science 2025-03-04 Haoyang Liu , Jie Wang , Zijie Geng , Xijun Li , Yuxuan Zong , Fangzhou Zhu , Jianye Hao , Feng Wu

Integer Linear Programming (ILP) serves as a versatile framework for modeling a wide range of combinatorial optimization problems, typically addressed by sophisticated exact solvers or heuristics. While learning-based approaches have…

Machine Learning · Computer Science 2026-05-29 Kyuil Sim , Sanghyeok Choi , Jinkyoo Park

Probing is an important presolving technique in mixed-integer programming solvers. It selects binary variables, tentatively fixes them to 0 and 1, and performs propagation to deduce additional variable fixings, bound tightenings,…

Optimization and Control · Mathematics 2026-01-05 Jacob von Holly-Ponientzietz , Alexander Hoen , Mark Turner , Ambros Gleixner

The high memory and computation demand of large language models (LLMs) makes them challenging to be deployed on consumer devices due to limited GPU memory. Offloading can mitigate the memory constraint but often suffers from low GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-16 Yangyijian Liu , Jun Li , Wu-Jun Li

Parallel programming remains a daunting challenge, from the struggle to express a parallel algorithm without cluttering the underlying synchronous logic, to describing which devices to employ in a calculation, to correctness. Over the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-10 Patrick Diehl , Steven R. Brandt , Hartmut Kaiser

We describe a new C++ library for multiprecision arithmetic for numbers in the order of 100--500 bits, i.e., representable with just a few limbs. The library is written in "optimizing-compiler-friendly" C++, with an emphasis on the use of…

Cryptography and Security · Computer Science 2018-04-20 Niek J. Bouman

Modern out-of-order processors have increased capacity to exploit instruction level parallelism (ILP) and memory level parallelism (MLP), e.g., by using wide superscalar pipelines and vector execution units, as well as deep buffers for…

Programming Languages · Computer Science 2018-07-05 Vladimir Kiriansky , Haoran Xu , Martin Rinard , Saman Amarasinghe

In this era of diverse and heterogeneous computer architectures, the programmability issues, such as productivity and portable efficiency, are crucial to software development and algorithm design. One way to approach the problem is to step…

Mathematical Software · Computer Science 2012-07-10 Mauro Bianco , Ugo Varetto

Pipeline is a fundamental parallel programming pattern. Mainstream pipeline programming frameworks count on data abstractions to perform pipeline scheduling. This design is convenient for data-centric pipeline applications but inefficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-03 Cheng-Hsiang Chiu , Tsung-Wei Huang , Zizheng Guo , Yibo Lin

This paper presents a hybrid CPU-GPU framework for solving combinatorial scheduling problems formulated as Integer Linear Programming (ILP). While scheduling underpins many optimization tasks in computing systems, solving these problems…

Machine Learning · Computer Science 2026-04-01 Mingju Liu , Jiaqi Yin , Alvaro Velasquez , Cunxi Yu

Machine learning components commonly appear in larger decision-making pipelines; however, the model training process typically focuses only on a loss that measures accuracy between predicted values and ground truth values. Decision-focused…

Machine Learning · Computer Science 2019-07-19 Aaron Ferber , Bryan Wilder , Bistra Dilkina , Milind Tambe

Large language models (LLMs) have shown promise in register-transfer level (RTL) design automation, but direct RTL generation remains difficult to validate, optimize, and integrate with compiler-based hardware design flows. Hardware…

Hardware Architecture · Computer Science 2026-05-19 Shuo Yin , Yihe Wang , Lancheng Zou , Xufeng Yao , Tinghuan Chen , Chen Bai , Zhengrong Wang , Tsung-Yi Ho , Bei Yu

Mixed-integer programming (MIP) extends linear programming by incorporating both continuous and integer decision variables, making it widely used in production planning, logistics scheduling, and resource allocation. However, MIP remains…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Jinyu Zhang , Di Huang , Yue Liu , Shuo Wang , Zhenyu Pu , Zhiyuan Liu

The advent of efficient interior point optimization methods has enabled the tractable solution of large-scale linear and nonlinear programming (NLP) problems. A prominent example of such a method is seen in Ipopt, a widely-used, open-source…

Optimization and Control · Mathematics 2019-09-19 Byron Tasseff , Carleton Coffrin , Andreas Wächter , Carl Laird

Energy increasingly constrains modern computer hardware, yet protecting computations and data against errors costs energy. This holds at all scales, but especially for the largest parallel computers being built and planned today. As…

Numerical Analysis · Mathematics 2012-06-08 Patrick G. Bridges , Kurt B. Ferreira , Michael A. Heroux , Mark Hoemmen
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