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We describe in this paper new design techniques used in the \cpp exact linear algebra library \linbox, intended to make the library safer and easier to use, while keeping it generic and efficient. First, we review the new simplified…

Mathematical Software · Computer Science 2014-07-14 Brice Boyer , Jean-Guillaume Dumas , Pascal Giorgi , Clément Pernet , B. David Saunders

In this paper, we consider the algorithms and convergence for a general optimization problem, which has a wide range of applications in image segmentation, topology optimization, flow network formulation, and surface reconstruction. In…

Optimization and Control · Mathematics 2024-03-15 Dong Wang , Shangzhi Zeng , Jin Zhang

An increasing number of researchers are finding use for nth-order gradient computations for a wide variety of applications, including graphics, meta-learning (MAML), scientific computing, and most recently, implicit neural representations…

Hardware Architecture · Computer Science 2025-10-27 Stefan Abi-Karam , Rishov Sarkar , Dejia Xu , Zhiwen Fan , Zhangyang Wang , Cong Hao

MOCVXPY is an open-source Python library for convex vector optimization. It is built on top of CVXPY, a domain-specific language for single-objective convex optimization. MOCVXPY enables practitioners to describe their convex vector…

Optimization and Control · Mathematics 2025-10-27 Ludovic Salomon , Daniel Dörfler , Andreas Löhne

SnapVX is a high-performance Python solver for convex optimization problems defined on networks. For these problems, it provides a fast and scalable solution with guaranteed global convergence. SnapVX combines the capabilities of two open…

Social and Information Networks · Computer Science 2017-02-22 David Hallac , Christopher Wong , Steven Diamond , Abhijit Sharang , Rok Sosic , Stephen Boyd , Jure Leskovec

While mixed-integer linear programming and convex programming solvers have advanced significantly over the past several decades, solution technologies for general mixed-integer nonlinear programs (MINLPs) have yet to reach the same level of…

Optimization and Control · Mathematics 2026-04-07 Danial Davarnia , Mohammadreza Kiaghadi , Junyuan Qiu

There is a growing need for distributed graph processing systems that are capable of gracefully scaling to very large graph datasets. Unfortunately, this challenge has not been easily met due to the intense memory pressure imposed by…

Databases · Computer Science 2014-07-03 Yingyi Bu , Vinayak Borkar , Jianfeng Jia , Michael J. Carey , Tyson Condie

Many high-dimensional optimisation problems exhibit rich geometric structures in their set of minimisers, often forming smooth manifolds due to over-parametrisation or symmetries. When this structure is known, at least locally, it can be…

Optimization and Control · Mathematics 2025-10-27 Evan Markou , Thalaiyasingam Ajanthan , Stephen Gould

The paper presents a software architecture to optimize the process of prototyping and deploying robot controllers that are synthesized using model-based design methodologies. The architecture is composed of a framework and a pipeline.…

Robotics · Computer Science 2020-02-04 Diego Ferigo , Silvio Traversaro , Francesco Romano , Daniele Pucci

This paper presents the input convex neural network architecture. These are scalar-valued (potentially deep) neural networks with constraints on the network parameters such that the output of the network is a convex function of (some of)…

Machine Learning · Computer Science 2017-06-15 Brandon Amos , Lei Xu , J. Zico Kolter

From FORTRAN to NumPy, tensors have revolutionized how we express computation. However, tensors in these, and almost all prominent systems, can only handle dense rectilinear integer grids. Real world tensors often contain underlying…

Mathematical Software · Computer Science 2025-01-30 Willow Ahrens , Teodoro Fields Collin , Radha Patel , Kyle Deeds , Changwan Hong , Saman Amarasinghe

The ubiquitous expansion and transformation of the energy supply system involves large-scale power infrastructure construction projects. In the view of investments of more than a million dollars per kilometre, planning authorities aim to…

Optimization and Control · Mathematics 2021-02-02 Nina Wiedemann , David Adjiashvili

Optimization underpins many of the challenges that science and technology face on a daily basis. Recent years have witnessed a major shift from traditional optimization paradigms grounded on batch algorithms for medium-scale problems to…

Optimization and Control · Mathematics 2021-11-29 Andrea Simonetto , Emiliano Dall'Anese , Santiago Paternain , Geert Leus , Georgios B. Giannakis

In this study, a novel topology optimization approach based on conditional Wasserstein generative adversarial networks (CWGAN) is developed to replicate the conventional topology optimization algorithms in an extremely computationally…

Machine Learning · Computer Science 2019-01-16 Sharad Rawat , M. -H. Herman Shen

In this work we demonstrate the usage of the VegasFlow library on multidevice situations: multi-GPU in one single node and multi-node in a cluster. VegasFlow is a new software for fast evaluation of highly parallelizable integrals based on…

Computational Physics · Physics 2021-02-23 Juan M. Cruz-Martinez , Stefano Carrazza

This paper introduces an adaptive convolutional neural network (CNN) architecture capable of automating various topology optimization (TO) problems with diverse underlying physics. The proposed architecture has an encoder-decoder-type…

Computational Engineering, Finance, and Science · Computer Science 2024-04-19 Khaish Singh Chadha , Prabhat Kumar

This paper addresses constrained smooth saddle-point problems in settings where projection onto the feasible sets is computationally expensive. We bridge the gap between projection-based and projection-free optimization by introducing a…

Optimization and Control · Mathematics 2026-04-02 Khanh-Hung Giang-Tran , Soroosh Shafiee , Nam Ho-Nguyen

For the right application, the use of programming paradigms such as functional or logic programming can enormously increase productivity in software development. But these powerful paradigms are tied to exotic programming languages, while…

Software Engineering · Computer Science 2007-05-23 M. H. van Emden , S. C. Somosan

Efficient high-performance libraries often expose multiple tunable parameters to provide highly optimized routines. These can range from simple loop unroll factors or vector sizes all the way to algorithmic changes, given that some…

Performance · Computer Science 2022-02-22 Marco Cianfriglia , Flavio Vella , Cedric Nugteren , Anton Lokhmotov , Grigori Fursin

Diffusion and flow-matching have emerged as powerful methodologies for generative modeling, with remarkable success in capturing complex data distributions and enabling flexible guidance at inference time. Many downstream applications,…

Machine Learning · Computer Science 2026-04-28 Zeyang Li , Kaveh Alim , Navid Azizan
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