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As large language models (LLMs) have shown great success in many tasks, they are used in various applications. While a lot of works have focused on the efficiency of single-LLM application (e.g., offloading, request scheduling, parallelism…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-24 Jingzhi Fang , Yanyan Shen , Yue Wang , Lei Chen

Pipeline parallelism (PP) has become a standard technique for scaling large language model (LLM) training across multiple devices. However, despite recent progress in reducing memory consumption through activation offloading, existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-08 Hongpei Li , Han Zhang , Huikang Liu , Dongdong Ge , Yinyu Ye

Global SLS-resolution is a well-known procedural semantics for top-down computation of queries under the well-founded model. It inherits from SLDNF-resolution the {\em linearity} property of derivations, which makes it easy and efficient to…

Logic in Computer Science · Computer Science 2007-05-23 Yi-Dong Shen , Jia-Huai You , Li-Yan Yuan

Monotonicity is a simple yet significant qualitative characteristic. We consider the problem of segmenting a sequence in up to K segments. We want segments to be as monotonic as possible and to alternate signs. We propose a quality metric…

Databases · Computer Science 2009-09-01 Daniel Lemire , Martin Brooks , Yuhong Yan

As the artificial intelligence community advances into the era of large models with billions of parameters, distributed training and inference have become essential. While various parallelism strategies-data, model, sequence, and…

Machine Learning · Computer Science 2025-03-13 Ruifeng She , Bowen Pang , Kai Li , Zehua Liu , Tao Zhong

We introduce StoDCuP (Stochastic Dynamic Cutting Plane), an extension of the Stochastic Dual Dynamic Programming (SDDP) algorithm to solve multistage stochastic convex optimization problems. At each iteration, the algorithm builds lower…

Optimization and Control · Mathematics 2021-04-08 Vincent Guigues , Renato Monteiro

We consider the (exact, minimum) $k$-cut problem: given a graph and an integer $k$, delete a minimum-weight set of edges so that the remaining graph has at least $k$ connected components. This problem is a natural generalization of the…

Data Structures and Algorithms · Computer Science 2019-10-08 Jason Li

As two fundamental problems, graph cuts and graph matching have been investigated over decades, resulting in vast literature in these two topics respectively. However the way of jointly applying and solving graph cuts and matching receives…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 Tianshu Yu , Junchi Yan , Jieyi Zhao , Baoxin Li

In this paper we study formulations and algorithms for the cycle clustering problem, a partitioning problem over the vertex set of a directed graph with nonnegative arc weights that is used to identify cyclic behavior in simulation data…

Optimization and Control · Mathematics 2024-01-17 Leon Eifler , Jakob Witzig , Ambros Gleixner

In this work, we develop an adaptive, multivariate partitioning algorithm for solving mixed-integer nonlinear programs (MINLP) with multi-linear terms to global optimality. This iterative algorithm primarily exploits the advantages of…

Optimization and Control · Mathematics 2019-02-05 Harsha Nagarajan , Mowen Lu , Site Wang , Russell Bent , Kaarthik Sundar

Minimum cut/maximum flow (min-cut/max-flow) algorithms solve a variety of problems in computer vision and thus significant effort has been put into developing fast min-cut/max-flow algorithms. As a result, it is difficult to choose an ideal…

Computer Vision and Pattern Recognition · Computer Science 2022-04-21 Patrick M. Jensen , Niels Jeppesen , Anders B. Dahl , Vedrana A. Dahl

We consider the problem of coded distributed computing where a large linear computational job, such as a matrix multiplication, is divided into $k$ smaller tasks, encoded using an $(n,k)$ linear code, and performed over $n$ distributed…

Information Theory · Computer Science 2019-06-25 Mohammad Vahid Jamali , Mahdi Soleymani , Hessam Mahdavifar

We derive a stochastic gradient algorithm for semidefinite optimization using randomization techniques. The algorithm uses subsampling to reduce the computational cost of each iteration and the subsampling ratio explicitly controls…

Optimization and Control · Mathematics 2011-08-30 Alexandre d'Aspremont

We'll measure the differences of the dual variables and the gain of the objective function when creating new problems, which each has one inequality more than the starting LP-instance. These differences of the dual variables are naturally…

Discrete Mathematics · Computer Science 2008-11-21 H. Georg Buesching

Generalized Benders decomposition (GBD) is a globally optimal algorithm for mixed integer nonlinear programming (MINLP) problems, which are NP-hard and can be widely found in the area of wireless resource allocation. The main idea of GBD is…

Information Theory · Computer Science 2020-10-16 Mengyuan Lee , Ning Ma , Guanding Yu , Huaiyu Dai

Transmission network expansion planning is a mixed-integer optimization problem, whose solution is used to guide future investment in transmission equipment. An approach is presented to find the global solution of the transmission planning…

Optimization and Control · Mathematics 2017-11-10 Bissan Ghaddar , Rabih Jabr

This paper presents an approach to joint wireless and computing resource management in slice-enabled metaverse networks, addressing the challenges of inter-slice and intra-slice resource allocation in the presence of in-network computing.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-22 Sulaiman Muhammad Rashid , Ibrahim Aliyu , Abubakar Isah , Jihoon Lee , Sangwon Oh , Minsoo Hahn , Jinsul Kim

Multiple-input multiple-output (MIMO) systems are playing an increasing and interesting role in the recent wireless communication. The complexity and the performance of the systems are driving the different studies and researches. Lattices…

Information Theory · Computer Science 2016-07-14 Nizar Ouni , Ridha Bouallegue

In bi-objective integer optimization the optimal result corresponds to a set of non-dominated solutions. We propose a generic bi-objective branch-and-bound algorithm that uses a problem-independent branching rule exploiting available…

Data Structures and Algorithms · Computer Science 2018-09-19 Sophie N. Parragh , Fabien Tricoire

There is a long history of approximation schemes for the problem of scheduling jobs on identical machines to minimize the makespan. Such a scheme grants a $(1+\epsilon)$-approximation solution for every $\epsilon > 0$, but the running time…

Data Structures and Algorithms · Computer Science 2021-07-30 Sebastian Berndt , Max A. Deppert , Klaus Jansen , Lars Rohwedder
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