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Coreset selection methods are effective in accelerating training and reducing memory requirements but remain largely unexplored in applied multimodal settings. We adapt a state-of-the-art (SoTA) coreset selection technique for multimodal…

机器学习 · 计算机科学 2025-02-25 Viktor Moskvoretskii , Narek Alvandian

The isometric embedding of surfaces in three-dimensional space is fundamental to various physical systems, from elastic sheets to programmable materials. While continuous surfaces typically admit unique solutions under suitable boundary…

无序系统与神经网络 · 物理学 2025-05-13 Kyungeun Kim , Christian D. Santangelo

Several observations indicate the existence of a latent hyperbolic space behind real networks that makes their structure very intuitive in the sense that the probability for a connection is decreasing with the hyperbolic distance between…

社会与信息网络 · 计算机科学 2021-05-21 Bianka Kovács , Gergely Palla

Machine Learning models should ideally be compact and robust. Compactness provides efficiency and comprehensibility whereas robustness provides resilience. Both topics have been studied in recent years but in isolation. Here we present a…

机器学习 · 计算机科学 2021-03-16 Omri Armstrong , Ran Gilad-Bachrach

This work presents neural network based minimal entropy closures for the moment system of the Boltzmann equation, that preserve the inherent structure of the system of partial differential equations, such as entropy dissipation and…

数值分析 · 数学 2022-01-26 Steffen Schotthöfer , Tianbai Xiao , Martin Frank , Cory D. Hauck

This paper studies the problem of enumerating all maximal collinear subsets of size at least three in a given set of $n$ points. An algorithm for this problem, besides solving degeneracy testing and the exact fitting problem, can also help…

计算几何 · 计算机科学 2017-06-20 Ali Gholami Rudi , Raimi Ayinde Rufai

Calculating the correlation in a sliding window is a common method of statistical evaluation of the interconnect between two sets of data. And although the calculation of a single correlation coefficient is not resource-intensive and…

数据结构与算法 · 计算机科学 2018-07-18 Alexey Poyda , Mikhail Zhizhin

3D perception in point clouds is transforming the perception ability of future intelligent machines. Point cloud algorithms, however, are plagued by irregular memory accesses, leading to massive inefficiencies in the memory sub-system,…

硬件体系结构 · 计算机科学 2022-04-25 Yu Feng , Gunnar Hammonds , Yiming Gan , Yuhao Zhu

Clustering is the task of partitioning a given set of geometric objects. This is thoroughly studied when the objects are points in the euclidean space. There are also several approaches for points in general metric spaces. In this thesis we…

计算几何 · 计算机科学 2019-11-07 Dennis Rohde

A moment body is a linear projection of the spectraplex, the convex set of trace-one positive semidefinite matrices. Determining whether a given point lies within a given moment body is a problem with numerous applications in quantum state…

最优化与控制 · 数学 2025-07-04 Didier Henrion

Mobile Edge Computing (MEC) pushes computing functionalities away from the centralized cloud to the network edge, thereby meeting the latency requirements of many emerging mobile applications and saving backhaul network bandwidth. Although…

分布式、并行与集群计算 · 计算机科学 2018-01-19 Jie Xu , Lixing Chen , Pan Zhou

The goal of continual learning (CL) is to efficiently update a machine learning model with new data without forgetting previously-learned knowledge. Most widely-used CL methods rely on a rehearsal memory of data points to be reused while…

机器学习 · 计算机科学 2022-03-29 Lukas Balles , Giovanni Zappella , Cédric Archambeau

Given a point set $P \subseteq X$ of size $n$ in a metric space $(X,dist)$ of doubling dimension $d$ and two parameters $k \in N$ and $z \in N$, the $k$-center problem with $z$ outliers asks to return a set $C^\ast \subseteq X$ of $k$…

数据结构与算法 · 计算机科学 2023-02-27 Mark de Berg , Leyla Biabani , Morteza Monemizadeh

While Deep Reinforcement Learning has been widely researched in medical imaging, the training and deployment of these models usually require powerful GPUs. Since imaging environments evolve rapidly and can be generated by edge devices, the…

机器学习 · 计算机科学 2023-06-09 Guangyao Zheng , Shuhao Lai , Vladimir Braverman , Michael A. Jacobs , Vishwa S. Parekh

Given a set of points in a metric space, the $(k,z)$-clustering problem consists of finding a set of $k$ points called centers, such that the sum of distances raised to the power of $z$ of every data point to its closest center is…

数据结构与算法 · 计算机科学 2022-02-28 Vincent Cohen-Addad , Kasper Green Larsen , David Saulpic , Chris Schwiegelshohn

We initiate the study of the Interval Selection problem in the (streaming) sliding window model of computation. In this problem, an algorithm receives a potentially infinite stream of intervals on the line, and the objective is to maintain…

数据结构与算法 · 计算机科学 2024-11-13 Cezar-Mihail Alexandru , Christian Konrad

In this paper we consider non-smooth convex optimization problems with (possibly) infinite intersection of constraints. In contrast to the classical approach, where the constraints are usually represented as intersection of simple sets,…

最优化与控制 · 数学 2024-01-11 Angelia Nedich , Ion Necoara

To fully exploit the performance potential of modern multi-core processors, machine learning and data mining algorithms for big data must be parallelized in multiple ways. Today's CPUs consist of multiple cores, each following an…

机器学习 · 计算机科学 2020-11-09 Christian Böhm , Claudia Plant

We provide the first coreset for clustering points in $\mathbb{R}^d$ that have multiple missing values (coordinates). Previous coreset constructions only allow one missing coordinate. The challenge in this setting is that objective…

数据结构与算法 · 计算机科学 2021-11-12 Vladimir Braverman , Shaofeng H. -C. Jiang , Robert Krauthgamer , Xuan Wu

Often, machine learning applications have to cope with dynamic environments where data are collected in the form of continuous data streams with potentially infinite length and transient behavior. Compared to traditional (batch) data…

机器学习 · 计算机科学 2021-12-21 Guilherme Cassales , Heitor Gomes , Albert Bifet , Bernhard Pfahringer , Hermes Senger