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Graph partitioning is the problem of dividing the nodes of a graph into balanced partitions while minimizing the edge cut across the partitions. Due to its combinatorial nature, many approximate solutions have been developed, including…

Machine Learning · Computer Science 2019-03-05 Azade Nazi , Will Hang , Anna Goldie , Sujith Ravi , Azalia Mirhoseini

An important mathematical tool in the analysis of dynamical systems is the approximation of the reach set, i.e., the set of states reachable after a given time from a given initial state. This set is difficult to compute for complex systems…

Machine Learning · Computer Science 2023-09-19 Abdelmouaiz Tebjou , Goran Frehse , Faïcel Chamroukhi

Determining I/O lower bounds is a crucial step in obtaining communication-efficient parallel algorithms, both across the memory hierarchy and between processors. Current approaches either study specific algorithms individually, disallow…

As applications grow in capability, they also grow in complexity. This complexity in turn gets pushed into modules and libraries. In addition, hardware configurations become increasingly elaborate, too. These two trends make understanding,…

Software Engineering · Computer Science 2018-03-21 Ronny Brendel , Bert Wesarg , Ronny Tschüter , Matthias Weber , Thomas Ilsche , Sebastian Oeste

The Generational Garbage collection involves organizing the heap into different divisions of memory space in-order to filter long-lived objects from short-lived objects through moving the surviving object of each generation Garbage…

Programming Languages · Computer Science 2015-01-07 Vasanthakumar Soundararajan

Motivated by the increasing prominence of loosely-coupled systems, such as mobile and sensor networks, which are characterised by intermittent connectivity and volatile data, we study the tagging of data with so-called expiration times.…

Databases · Computer Science 2007-05-23 Albrecht Schmidt , Christian S. Jensen

Network graphs have become a popular tool to represent complex systems composed of many interacting subunits; especially in neuroscience, network graphs are increasingly used to represent and analyze functional interactions between neural…

Information Theory · Computer Science 2015-11-24 Patricia Wollstadt , Ulrich Meyer , Michael Wibral

Graphs are widely used as a popular representation of the network structure of connected data. Graph data can be found in a broad spectrum of application domains such as social systems, ecosystems, biological networks, knowledge graphs, and…

Machine Learning · Computer Science 2021-05-04 Feng Xia , Ke Sun , Shuo Yu , Abdul Aziz , Liangtian Wan , Shirui Pan , Huan Liu

Production software oftentimes suffers from the issue of performance inefficiencies caused by inappropriate use of data structures, programming abstractions, and conservative compiler optimizations. It is desirable to avoid unnecessary…

Machine Learning · Computer Science 2020-11-20 Yixin Guo , Pengcheng Li , Yingwei Luo , Xiaolin Wang , Zhenlin Wang

Dynamic networks are a complex subject. Not only do they inherit the complexity of static networks (as a particular case); they are also sensitive to definitional subtleties that are a frequent source of confusion and incomparability of…

Discrete Mathematics · Computer Science 2024-09-02 Arnaud Casteigts , Timothée Corsini , Writika Sarkar

A shortcoming of existing reachability approaches for nonlinear systems is the poor scalability with the number of continuous state variables. To mitigate this problem we present a simulation-based approach where we first sample a number of…

Systems and Control · Computer Science 2017-09-21 Murat Arcak , John Maidens

Many physical systems can be best understood as sets of discrete data with associated relationships. Where previously these sets of data have been formulated as series or image data to match the available machine learning architectures,…

Reachability analysis is a powerful tool for computing the set of states or outputs reachable for a system. While previous work has focused on systems described by state-space models, we present the first methods to compute reachable sets…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Laura Lützow , Matthias Althoff

Adjoint algorithmic differentiation by operator and function overloading is based on the interpretation of directed acyclic graphs resulting from evaluations of numerical simulation programs. The size of the computer system memory required…

Mathematical Software · Computer Science 2022-07-15 Uwe Naumann

Markov Networks are widely used through out computer vision and machine learning. An important subclass are the Associative Markov Networks which are used in a wide variety of applications. For these networks a good approximate minimum cost…

Artificial Intelligence · Computer Science 2012-03-19 Chris Russell , L'ubor Ladicky , Pushmeet Kohli , Philip H. S. Torr

An accessibility graph of a network contains a link, wherever there is a path of arbitrary length between two nodes. We generalize the concept of accessibility to temporal networks. Building an accessibility graph by consecutively adding…

Physics and Society · Physics 2012-10-09 Hartmut H K Lentz , Thomas Selhorst , Igor M Sokolov

Recommender systems often rely on models which are trained to maximize accuracy in predicting user preferences. When the systems are deployed, these models determine the availability of content and information to different users. The gap…

Machine Learning · Computer Science 2021-02-02 Sarah Dean , Sarah Rich , Benjamin Recht

Modern memory hierarchies work well with applications that have good spatial locality. Evolving (dynamic) graphs are important applications widely used to model graphs and networks with edge and vertex changes. They exhibit irregular memory…

Hardware Architecture · Computer Science 2024-06-21 Abhishek Singh , Christian Schulte , Xiaochen Guo

We study a class of graph analytics SQL queries, which we call relationship queries. Relationship queries are a wide superset of fixed-length graph reachability queries and of tree pattern queries. Intuitively, it discovers target entities…

Databases · Computer Science 2016-04-12 Chunbin Lin , Benjamin Mandel , Yannis Papakonstantinou , Matthias Springer

We present a new connection between self-adjusting binary search trees (BSTs) and heaps, two fundamental, extensively studied, and practically relevant families of data structures. Roughly speaking, we map an arbitrary heap algorithm within…

Data Structures and Algorithms · Computer Science 2019-01-01 László Kozma , Thatchaphol Saranurak