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Several recent empirical studies demonstrate that important machine learning tasks, e.g., training deep neural networks, exhibit low-rank structure, where the loss function varies significantly in only a few directions of the input space.…

机器学习 · 计算机科学 2022-06-17 Romain Cosson , Ali Jadbabaie , Anuran Makur , Amirhossein Reisizadeh , Devavrat Shah

Several computer vision and artificial intelligence projects are nowadays exploiting the manifold data distribution using, e.g., the diffusion process. This approach has produced dramatic improvements on the final performance thanks to the…

计算机视觉与模式识别 · 计算机科学 2019-08-20 Federico Magliani , Laura Sani , Stefano Cagnoni , Andrea Prati

To tackle the exponentiality associated with NP-hard problems, two paradigms have been proposed. First, Branch & Bound, like Dynamic Programming, achieve efficient exact inference but requires extensive information and analysis about the…

数据结构与算法 · 计算机科学 2016-09-13 Julien Weissenberg , Hayko Riemenschneider , Ralf Dragon , Luc Van Gool

We consider the strongly NP-hard single-machine coupled task scheduling problem with exact delays to minimize the makespan. In this problem, a set of jobs has to be scheduled, each composed of two tasks interspersed by an exact delay. Given…

最优化与控制 · 数学 2025-12-30 Vítor A. Barbosa , Rafael A. Melo

We propose an efficient framework that integrates distance-aware multi-hop message passing with dynamic topology refinement. Unlike standard GNNs that rely on shallow, fixed-hop aggregation, DRTR leverages both static preprocessing and…

机器学习 · 计算机科学 2025-12-01 Dong Liu , Yanxuan Yu

Approximate Nearest Neighbor Search (ANNS) underpins many large-scale data mining and machine learning applications, with efficient retrieval increasingly hinging on GPU acceleration as dataset sizes grow. Although graph-based approaches…

We present Digenes, a new discovery system that aims to help researchers in graph theory. While its main task is to find extremal graphs for a given (function of) invariants, it also provides some basic support in proof conception. This has…

离散数学 · 计算机科学 2013-05-01 Romain Absil , Hadrien Mélot

The approximate single-source shortest-path problem is as follows: given a graph with nonnegative edge weights and a designated source vertex $s$, return estimates of the distances from~$s$ to each other vertex such that the estimate falls…

数据结构与算法 · 计算机科学 2019-12-12 Nairen Cao , Jeremy T. Fineman , Katina Russell

Learning agents can make use of Reinforcement Learning (RL) to decide their actions by using a reward function. However, the learning process is greatly influenced by the elect of values of the hyperparameters used in the learning…

机器人学 · 计算机科学 2022-11-03 Adarsh Sehgal , Nicholas Ward , Hung La , Sushil Louis

Exact Bayesian structure discovery in Bayesian networks requires exponential time and space. Using dynamic programming (DP), the fastest known sequential algorithm computes the exact posterior probabilities of structural features in…

人工智能 · 计算机科学 2016-08-16 Yetian Chen , Jin Tian , Olga Nikolova , Srinivas Aluru

Given an integer dimension K and a simple, undirected graph G with positive edge weights, the Distance Geometry Problem (DGP) aims to find a realization function mapping each vertex to a coordinate in K-dimensional space such that the…

最优化与控制 · 数学 2020-10-13 Moira MacNeil , Merve Bodur

Vector similarity search is an essential primitive in modern AI and ML applications. Most vector databases adopt graph-based approximate nearest neighbor (ANN) search algorithms, such as DiskANN (Subramanya et al., 2019), which have…

数据结构与算法 · 计算机科学 2026-02-10 Tian Zhang , Ashwin Padaki , Jiaming Liang , Zack Ives , Erik Waingarten

A deep learning-based model reduction (DeePMR) method for simplifying chemical kinetics is proposed and validated using high-temperature auto-ignitions, perfectly stirred reactors (PSR), and one-dimensional freely propagating flames of…

机器学习 · 计算机科学 2022-09-09 Zhiwei Wang , Yaoyu Zhang , Enhan Zhao , Yiguang Ju , Weinan E , Zhi-Qin John Xu , Tianhan Zhang

The dynamic job-shop scheduling problem (DJSP) is a class of scheduling tasks that specifically consider the inherent uncertainties such as changing order requirements and possible machine breakdown in realistic smart manufacturing…

人工智能 · 计算机科学 2022-01-04 Yunhui Zeng , Zijun Liao , Yuanzhi Dai , Rong Wang , Xiu Li , Bo Yuan

In the most popular distributed stream processing frameworks (DSPFs), programs are modeled as a directed acyclic graph. This model allows a DSPF to benefit from the parallelism power of distributed clusters. However, choosing the proper…

分布式、并行与集群计算 · 计算机科学 2023-11-03 Hamid Nasiri , Saeed Nasehi , Arman Divband , Maziar Goudarzi

Deep neural networks (DNNs) have substantial computational and memory requirements, and the compilation of its computational graphs has a great impact on the performance of resource-constrained (e.g., computation, I/O, and memory-bound)…

硬件体系结构 · 计算机科学 2023-04-11 Jiaqi Yin , Yingjie Li , Daniel Robinson , Cunxi Yu

Mining maximal subgraphs with cohesive structures from a bipartite graph has been widely studied. One important cohesive structure on bipartite graphs is k-biplex, where each vertex on one side disconnects at most k vertices on the other…

数据库 · 计算机科学 2021-12-30 Kaiqiang Yu , Cheng Long , Shengxin Liu , Da Yan

The conjugate gradient method is a crucial first-order optimization method that generally converges faster than the steepest descent method, and its computational cost is much lower than that of second-order methods. However, while various…

最优化与控制 · 数学 2024-03-13 Jun Chen , Haishan Ye , Mengmeng Wang , Tianxin Huang , Guang Dai , Ivor W. Tsang , Yong Liu

Differentially private algorithms allow large-scale data analytics while preserving user privacy. Designing such algorithms for graph data is gaining importance with the growth of large networks that model various (sensitive) relationships…

数据结构与算法 · 计算机科学 2022-11-22 Laxman Dhulipala , Quanquan C. Liu , Sofya Raskhodnikova , Jessica Shi , Julian Shun , Shangdi Yu

Nearest neighbor search supports important applications in many domains, such as database, machine learning, computer vision. Since the computational cost for accurate search is too high, the community turned to the research of approximate…

信息检索 · 计算机科学 2022-01-11 Xiaobin Fan , Xiaoping Wang , Kai Lu , Lei Xue , Jinjing Zhao