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We investigate finite-dimensional constrained structured optimization problems, featuring composite objective functions and set-membership constraints. Offering an expressive yet simple language, this problem class provides a modeling…

最优化与控制 · 数学 2023-02-09 Alberto De Marchi , Xiaoxi Jia , Christian Kanzow , Patrick Mehlitz

Recent advances in computing hardware and modeling software have given rise to new applications for numerical optimization. These new applications occasionally uncover bottlenecks in existing optimization algorithms and necessitate further…

数学软件 · 计算机科学 2024-10-18 Anugrah Jo Joshy , John T. Hwang

Irregular embedding lookups are a critical bottleneck in recommender models, sparse large language models, and graph learning models. In this paper, we first demonstrate that, by offloading these lookups to specialized access units,…

This work formulates the machine learning mechanism as a bi-level optimization problem. The inner level optimization loop entails minimizing a properly chosen loss function evaluated on the training data. This is nothing but the…

机器学习 · 计算机科学 2023-01-27 Maziar Raissi

PyTorch \texttt{2.x} introduces a compiler designed to accelerate deep learning programs. However, for machine learning researchers, adapting to the PyTorch compiler to full potential can be challenging. The compiler operates at the Python…

机器学习 · 计算机科学 2024-03-22 Kaichao You , Runsheng Bai , Meng Cao , Jianmin Wang , Ion Stoica , Mingsheng Long

In this document, we introduce PyCSP$3$, a Python library that allows us to write models of combinatorial constrained problems in a declarative manner. Currently, with PyCSP$3$, you can write models of constraint satisfaction and…

人工智能 · 计算机科学 2024-08-30 Christophe Lecoutre , Nicolas Szczepanski

The area of constrained clustering has been extensively explored by researchers and used by practitioners. Constrained clustering formulations exist for popular algorithms such as k-means, mixture models, and spectral clustering but have…

机器学习 · 计算机科学 2019-12-20 Hongjing Zhang , Sugato Basu , Ian Davidson

Bilevel programs (BPs) find a wide range of applications in fields such as energy, transportation, and machine learning. As compared to BPs with continuous (linear/convex) optimization problems in both levels, the BPs with discrete decision…

最优化与控制 · 数学 2024-07-25 Bo Zhou , Ruiwei Jiang , Siqian Shen

Selecting the right compiler optimisations has a severe impact on programs' performance. Still, the available optimisations keep increasing, and their effect depends on the specific program, making the task human intractable. Researchers…

分布式、并行与集群计算 · 计算机科学 2020-05-12 Stefano Cereda , Gianluca Palermo , Paolo Cremonesi , Stefano Doni

We examine popular gradient-based algorithms for nonlinear control in the light of the modern complexity analysis of first-order optimization algorithms. The examination reveals that the complexity bounds can be clearly stated in terms of…

最优化与控制 · 数学 2019-08-22 Vincent Roulet , Siddhartha Srinivasa , Dmitriy Drusvyatskiy , Zaid Harchaoui

Motivated by the increasing availability of high-performance parallel computing, we design a distributed parallel algorithm for linearly-coupled block-structured nonconvex constrained optimization problems. Our algorithm performs…

最优化与控制 · 数学 2021-12-17 Anirudh Subramanyam , Youngdae Kim , Michel Schanen , François Pacaud , Mihai Anitescu

Geoff is a collection of Python packages that form a framework for automation of particle accelerator controls. With particle accelerator laboratories around the world researching machine learning techniques to improve accelerator…

加速器物理 · 物理学 2025-09-19 Penelope Madysa , Sabrina Appel , Verena Kain , Michael Schenk

In this paper, we present a distributed algorithm for solving convex, constraint-coupled, optimization problems over peer-to-peer networks. We consider a network of processors that aim to cooperatively minimize the sum of local cost…

最优化与控制 · 数学 2021-04-14 Andrea Camisa , Alessia Benevento , Giuseppe Notarstefano

We introduce custom code generation for parametrized convex optimization problems that supports evaluating the derivative of the solution with respect to the parameters, i.e., differentiating through the optimization problem. We extend the…

最优化与控制 · 数学 2025-04-22 Maximilian Schaller , Stephen Boyd

The goal of this tutorial is to introduce key models, algorithms, and open questions related to the use of optimization methods for solving problems arising in machine learning. It is written with an INFORMS audience in mind, specifically…

机器学习 · 统计学 2017-07-03 Frank E. Curtis , Katya Scheinberg

This open-source book represents our attempt to make deep learning approachable, teaching readers the concepts, the context, and the code. The entire book is drafted in Jupyter notebooks, seamlessly integrating exposition figures, math, and…

机器学习 · 计算机科学 2023-08-24 Aston Zhang , Zachary C. Lipton , Mu Li , Alexander J. Smola

Existing open-source modeling frameworks dedicated to energy systems optimization typically utilize (mixed-integer) linear programming ((MI)LP) formulations, which lack modeling freedom for technical system design and operation. We present…

Hyperparameter tuning is a fundamental aspect of machine learning research. Setting up the infrastructure for systematic optimization of hyperparameters can take a significant amount of time. Here, we present PyHopper, a black-box…

机器学习 · 计算机科学 2022-10-11 Mathias Lechner , Ramin Hasani , Philipp Neubauer , Sophie Neubauer , Daniela Rus

Solving massive-scale optimization problems requires scalable first-order methods with low per-iteration cost. This tutorial highlights a shift in optimization: using differentiable programming not only to execute algorithms but to learn…

数学软件 · 计算机科学 2026-03-02 Liping Tao , Xindi Tong , Chee Wei Tan

This work introduces a framework to address the computational complexity inherent in Mixed-Integer Programming (MIP) models by harnessing the potential of deep learning. By employing deep learning, we construct problem-specific heuristics…

最优化与控制 · 数学 2024-05-13 Niki Triantafyllou , Maria M. Papathanasiou