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Decision trees and logistic regression are one of the most popular and well-known machine learning algorithms, frequently used to solve a variety of real-world problems. Stability of learning algorithms is a powerful tool to analyze their…

Machine Learning · Computer Science 2019-03-05 Nino Arsov , Martin Pavlovski , Ljupco Kocarev

In phylogenetics, tree-based networks are used to model and visualize the evolutionary history of species where reticulate events such as horizontal gene transfer have occurred. Formally, a tree-based network $N$ consists of a phylogenetic…

Discrete Mathematics · Computer Science 2020-08-21 Jonathan Klawitter , Peter Stumpf

Cyber-physical systems come with increasingly complex architectures and failure modes, which complicates the task of obtaining accurate system reliability models. At the same time, with the emergence of the (industrial) Internet-of-Things,…

Formal Languages and Automata Theory · Computer Science 2019-09-16 Alexis Linard , Doina Bucur , Marielle Stoelinga

We present two algorithms for dynamically maintaining a spanning forest of a graph undergoing edge insertions and deletions. Our algorithms guarantee {\em worst-case update time} and work against an adaptive adversary, meaning that an edge…

Data Structures and Algorithms · Computer Science 2017-04-19 Danupon Nanongkai , Thatchaphol Saranurak

A witness drawing of a graph is a visualization that clearly shows a given property of a graph. We study and implement various drawing paradigms for witness drawings to clearly show that graphs have bounded pathwidth or treewidth. Our…

Computational Geometry · Computer Science 2025-08-28 Alvin Chiu , Thomas Depian , David Eppstein , Michael T. Goodrich , Martin Nöllenburg

We introduce top trees as a design of a new simpler interface for data structures maintaining information in a fully-dynamic forest. We demonstrate how easy and versatile they are to use on a host of different applications. For example, we…

Data Structures and Algorithms · Computer Science 2007-05-23 Stephen Alstrup , Jacob Holm , Kristian de Lichtenberg , Mikkel Thorup

Survival analysis concerns the task of predicting the time until an event occurs. Often used in the medical field, survival analysis deals with incomplete (i.e., censored) data, for instance, from patients who did not experience the event…

Machine Learning · Computer Science 2026-05-29 Thalea Schlender , Peter A. N. Bosman , Tanja Alderliesten

Dynamic graphs refer to graphs whose structure dynamically changes over time. Despite the benefits of learning vertex representations (i.e., embeddings) for dynamic graphs, existing works merely view a dynamic graph as a sequence of changes…

Machine Learning · Computer Science 2023-11-02 Yu Yang , Hongzhi Yin , Jiannong Cao , Tong Chen , Quoc Viet Hung Nguyen , Xiaofang Zhou , Lei Chen

Let G = (V, E) be a directed and weighted graph with vertex set V of size n and edge set E of size m, such that each edge (u, v) \in E has a real-valued weight w(u, c). An arborescence in G is a subgraph T = (V, E') such that for a vertex u…

Data Structures and Algorithms · Computer Science 2023-11-07 Joaquim Espada , Alexandre P. Francisco , Tatiana Rocher , Luís M. S. Russo , Cátia Vaz

Classically, planning tasks are studied as a two-step process: plan creation and plan execution. In situations where plan creation is slow (for example, due to expensive information access or complex constraints), a natural speed-up tactic…

Data Structures and Algorithms · Computer Science 2025-02-17 Katrin Casel , Stefan Neubert

Despite the prevalence of recent success in learning from static graphs, learning from time-evolving graphs remains an open challenge. In this work, we design new, more stringent evaluation procedures for link prediction specific to dynamic…

Machine Learning · Computer Science 2022-09-13 Farimah Poursafaei , Shenyang Huang , Kellin Pelrine , Reihaneh Rabbany

Interpretability is crucial for doctors, hospitals, pharmaceutical companies and biotechnology corporations to analyze and make decisions for high stakes problems that involve human health. Tree-based methods have been widely adopted for…

Machine Learning · Computer Science 2024-05-24 Rui Zhang , Rui Xin , Margo Seltzer , Cynthia Rudin

Visualization is a powerful paradigm for exploratory data analysis. Visualizing large graphs, however, often results in a meaningless hairball. In this paper, we propose a different approach that helps the user adaptively explore large…

Information Retrieval · Computer Science 2016-07-25 Robert Pienta , Zhiyuan Lin , Minsuk Kahng , Jilles Vreeken , Partha P. Talukdar , James Abello , Ganesh Parameswaran , Duen Horng Chau

Merge trees are fundamental structures in topological data analysis. Interleaving distance is a widely accepted metric for comparing merge trees, with applications in visualization and scientific computing. While a greedy algorithm exists…

Computational Geometry · Computer Science 2025-09-22 Elena Farahbakhsh Touli , Talha Bin Masood

The description of large temporal graphs requires effective methods giving an appropriate mesoscopic partition. Many approaches exist today to detect communities in static graphs. However, many networks are intrinsically dynamical, and need…

Social and Information Networks · Computer Science 2017-07-10 Matteo Morini , Patrick Flandrin , Eric Fleury , Tommaso Venturini , Pablo Jensen

Classification and Regression Trees (CARTs) are off-the-shelf techniques in modern Statistics and Machine Learning. CARTs are traditionally built by means of a greedy procedure, sequentially deciding the splitting predictor variable(s) and…

Machine Learning · Statistics 2021-10-25 Rafael Blanquero , Emilio Carrizosa , Cristina Molero-Río , Dolores Romero Morales

Graphs are typically visualized as node-link diagrams. Although there is a fair amount of research focusing on crossing minimization to improve readability, little attention has been paid on how to handle crossings when they are an…

Human-Computer Interaction · Computer Science 2008-10-27 Weidong Huang

Time-evolving or temporal graphs gain more and more popularity when studying the behavior of complex networks. In this context, the multistage view on computational problems is among the most natural frameworks. Roughly speaking, herein one…

Computational Complexity · Computer Science 2020-07-30 Klaus Heeger , Anne-Sophie Himmel , Frank Kammer , Rolf Niedermeier , Malte Renken , Andrej Sajenko

We present a holistic, topology-based visualization technique for spatial time series data based on an adaptation of Fuzzy Contour Trees. Common analysis approaches for time dependent scalar fields identify and track specific features. To…

Human-Computer Interaction · Computer Science 2021-07-28 Anna-Pia Lohfink , Frederike Gartzky , Florian Wetzels , Luisa Vollmer , Christoph Garth

We study dynamic graph algorithms in the Massively Parallel Computation model, which was inspired by practical data processing systems. Our goal is to provide algorithms that can efficiently handle large batches of edge insertions and…

Data Structures and Algorithms · Computer Science 2021-01-12 Krzysztof Nowicki , Krzysztof Onak