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We introduce an algorithm which can be directly used to feasible and optimum search in linear programming. Starting from an initial point the algorithm iteratively moves a point in a direction to resolve the violated constraints. At the…

最优化与控制 · 数学 2023-12-05 Denys Shcherbak , Natalya Pya Arnqvist

The saturation-based reasoning methods are among the most theoretically developed ones and are used by most of the state-of-the-art first-order logic reasoners. In the last decade there was a sharp increase in performance of such systems,…

人工智能 · 计算机科学 2008-02-18 Alexandre Riazanov

Profile Guided Optimization (PGO) uses runtime profiling to direct compiler optimization decisions, effectively combining static analysis with actual execution behavior to enhance performance. Runtime profiles, collected through…

性能 · 计算机科学 2025-07-23 Bingxin Liu , Yinghui Huang , Jianhua Gao , Jianjun Shi , Yongpeng Liu , Yipin Sun , Weixing Ji

There are existing standard solvers for tackling discrete optimization problems. However, in practice, it is uncommon to apply them directly to the large input space typical of this class of problems. Rather, the input is preprocessed to…

分布式、并行与集群计算 · 计算机科学 2022-12-02 Bolarinwa Olayemi Saheed

In this paper we first identify a basic limitation in gradient descent-based optimization methods when used in conjunctions with smooth kernels. An analysis based on the spectral properties of the kernel demonstrates that only a vanishingly…

机器学习 · 统计学 2017-06-20 Siyuan Ma , Mikhail Belkin

This report presents some early results on code generation targeting tensor cores on NVIDIA GPUs using the MLIR compiler infrastructure. The state-of-the-art in high-performance deep learning today is primarily driven by manually optimized…

分布式、并行与集群计算 · 计算机科学 2021-08-31 Navdeep Katel , Vivek Khandelwal , Uday Bondhugula

Mixed-integer linear programming (MILP) is widely employed for modeling combinatorial optimization problems. In practice, similar MILP instances with only coefficient variations are routinely solved, and machine learning (ML) algorithms are…

最优化与控制 · 数学 2023-03-07 Qingyu Han , Linxin Yang , Qian Chen , Xiang Zhou , Dong Zhang , Akang Wang , Ruoyu Sun , Xiaodong Luo

Among the components contributing to particle transport, geometry navigation is an important consumer of CPU cycles. The tasks performed to get answers to "basic" queries such as locating a point within a geometry hierarchy or computing…

计算物理 · 物理学 2013-12-04 John Apostolakis , René Brun , Federico Carminati , Andrei Gheata , Sandro Wenzel

Pretrained encoders for mathematical texts have achieved significant improvements on various tasks such as formula classification and information retrieval. Yet they remain limited in representing and capturing student strategies for entire…

计算机与社会 · 计算机科学 2026-04-13 Siddhartha Pradhan , Ethan Prihar , Erin Ottmar

Machine learning algorithms use error function minimization to fit a large set of parameters in a preexisting model. However, error minimization eventually leads to a memorization of the training dataset, losing the ability to generalize to…

机器学习 · 计算机科学 2018-03-16 Fernando Martin-Maroto , Gonzalo G. de Polavieja

GPU code optimization is a key performance bottleneck for HPC workloads as well as large-model training and inference. Although compiler optimizations and hand-written kernels can partially alleviate this issue, achieving…

计算与语言 · 计算机科学 2026-01-26 Qiuyi Qu , Yicheng Sui , Yufei Sun , Rui Chen , Xiaofei Zhang , Yuzhi Zhang , Haofeng Wang , Ge Lan

View materialization, index selection, and plan caching are well-known techniques for optimization of query processing in database systems. The essence of these tasks is to select and save a subset of the most useful candidates…

数据库 · 计算机科学 2025-01-28 Sergey Zinchenko , Denis Ponomaryov

Building on the previous work of Lee et al. and Ferdinand et al. on coded computation, we propose a sequential approximation framework for solving optimization problems in a distributed manner. In a distributed computation system, latency…

信息论 · 计算机科学 2017-10-26 Jingge Zhu , Ye Pu , Vipul Gupta , Claire Tomlin , Kannan Ramchandran

An enumeration kernel as defined by Creignou et al. [Theory Comput. Syst. 2017] for a parameterized enumeration problem consists of an algorithm that transforms each instance into one whose size is bounded by the parameter plus a…

数据结构与算法 · 计算机科学 2021-01-12 Petr A. Golovach , Christian Komusiewicz , Dieter Kratsch , Van Bang Le

When optimizing a nonlinear objective, one can employ a neural network as a surrogate for the nonlinear function. However, the resulting optimization model can be time-consuming to solve globally with exact methods. As a result, local…

最优化与控制 · 数学 2026-03-19 Jiatai Tong , Yilin Zhu , Thiago Serra , Samuel Burer

Graph Visualization, also known as Graph Drawing, aims to find geometric embeddings of graphs that optimize certain criteria. Stress is a widely used metric; stress is minimized when every pair of nodes is positioned at their shortest path…

计算几何 · 计算机科学 2024-02-13 Florian Grötschla , Joël Mathys , Robert Veres , Roger Wattenhofer

Register allocation (mapping variables to processor registers or memory) and instruction scheduling (reordering instructions to increase instruction-level parallelism) are essential tasks for generating efficient assembly code in a…

编程语言 · 计算机科学 2019-06-10 Roberto Castañeda Lozano , Christian Schulte

The challenge of the Compiler Optimization Case is to perform local optimizations and instruction selection on the graph-based intermediate representation of a compiler. The case is designed to compare participating tools regarding their…

编程语言 · 计算机科学 2011-11-22 Sebastian Buchwald , Edgar Jakumeit

Bloom filters are a fundamental data structure for approximate membership queries, with applications ranging from data analytics to databases and genomics. Several variants have been proposed to accommodate parallel architectures. GPUs,…

分布式、并行与集群计算 · 计算机科学 2025-12-18 Daniel Jünger , Kevin Kristensen , Yunsong Wang , Xiangyao Yu , Bertil Schmidt

In this paper, we identify partial correlation information structures that allow for simpler reformulations in evaluating the maximum expected value of mixed integer linear programs with random objective coefficients. To this end, assuming…

最优化与控制 · 数学 2018-10-25 Divya Padmanabhan , Karthik Natarajan , Karthyek R. A. Murthy