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We study algorithmic questions for concurrent systems where the transitions are labeled from a complete, closed semiring, and path properties are algebraic with semiring operations. The algebraic path properties can model dataflow analysis…

Programming Languages · Computer Science 2015-11-27 Krishnendu Chatterjee , Amir Kafshdar Goharshady , Rasmus Ibsen-Jensen , Andreas Pavlogiannis

Pushdown systems (PDSs) and recursive state machines (RSMs), which are linearly equivalent, are standard models for interprocedural analysis. Yet RSMs are more convenient as they (a) explicitly model function calls and returns, and (b)…

Programming Languages · Computer Science 2020-01-13 Krishnendu Chatterjee , Bernhard Kragl , Samarth Mishra , Andreas Pavlogiannis

Data-flow analysis is a general technique used to compute information of interest at different points of a program and is considered to be a cornerstone of static analysis. In this thesis, we consider interprocedural data-flow analysis as…

Programming Languages · Computer Science 2023-09-21 Ahmed Khaled Zaher

Interprocedural data-flow analyses form an expressive and useful paradigm of numerous static analysis applications, such as live variables analysis, alias analysis and null pointers analysis. The most widely-used framework for…

Data Structures and Algorithms · Computer Science 2020-04-16 Krishnendu Chatterjee , Amir Kafshdar Goharshady , Rasmus Ibsen-Jensen , Andreas Pavlogiannis

Two-way regular path queries (2-RPQs) allow one to use regular languages over edges and inverted edges in edge-labelled graph to constrain paths of interest. 2-RPQs are (partially) adopted in different real-world graph analysis systems and…

Data Structures and Algorithms · Computer Science 2025-06-17 Georgiy Belyanin , Semyon Grigoriev , Rodion Suvorov

This paper investigates the operator mapping problem for in-network stream-processing applications. In-network stream-processing amounts to applying one or more trees of operators in steady-state, to multiple data objects that are…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-03-05 Anne Benoit , Henri Casanova , Veronika Rehn-Sonigo , Yves Robert

Tree-structured LSTM is promising way to consider long-distance interaction over hierarchies. However, there have been few research efforts on the hyperparameter tuning of the construction and traversal of tree-structured LSTM. To name a…

Machine Learning · Computer Science 2020-08-24 Ruo Ando , Yoshiyasu Takefuji

Linear programming (LP) is an extremely useful tool and has been successfully applied to solve various problems in a wide range of areas, including operations research, engineering, economics, or even more abstract mathematical areas such…

Data Structures and Algorithms · Computer Science 2020-03-19 Agniva Chowdhury , Palma London , Haim Avron , Petros Drineas

Parallel computing is omnipresent in today's scientific computer landscape, starting at multicore processors in desktop computers up to massively parallel clusters. While domain decomposition methods have a long tradition in computational…

Numerical Analysis · Mathematics 2025-03-20 H. M. Verhelst , J. H. Den Besten , M. Möller

Hyperparameter tuning is one of the the most time-consuming parts in machine learning. Despite the existence of modern optimization algorithms that minimize the number of evaluations needed, evaluations of a single setting may still be…

Machine Learning · Computer Science 2024-03-27 Philip Buczak , Andreas Groll , Markus Pauly , Jakob Rehof , Daniel Horn

We present algorithms that run in linear time on pointer machines for a collection of problems, each of which either directly or indirectly requires the evaluation of a function defined on paths in a tree. These problems previously had…

Data Structures and Algorithms · Computer Science 2007-05-23 Adam L. Buchsbaum , Loukas Georgiadis , Haim Kaplan , Anne Rogers , Robert E. Tarjan , Jeffery R. Westbrook

A matrix algorithm runs superfast (aka at sublinear cost) if it involves much fewer flops and memory cells than an input matrix has entries. Big Data are frequently represented by matrices of immense sizes that cannot be handled directly…

Numerical Analysis · Mathematics 2025-11-11 Qi Luan , Victor Y. Pan

We present alternative approaches to routing and scheduling in Answer Set Programming (ASP), and explore them in the context of Multi-agent Path Finding. The idea is to capture the flow of time in terms of partial orders rather than time…

Artificial Intelligence · Computer Science 2024-03-20 Roland Kaminski , Torsten Schaub , Tran Cao Son , Jiří Švancara , Philipp Wanko

Path-following algorithms are frequently used in composite optimization problems where a series of subproblems, with varying regularization hyperparameters, are solved sequentially. By reusing the previous solutions as initialization,…

Optimization and Control · Mathematics 2021-12-10 Eugene Ndiaye , Ichiro Takeuchi

Minimum Spanning Tree (MST) is an important graph algorithm that has wide ranging applications in the areas of computer networks, VLSI routing, wireless communications among others. Today virtually every computer is built out of multi-core…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-15 Suryanarayana Murthy Durbhakula

Semiring algebras have been shown to provide a suitable language to formalize many noteworthy combinatorial problems. For instance, the Shortest-Path problem can be seen as a special case of the Algebraic-Path problem when applied to the…

Computational Complexity · Computer Science 2025-12-04 Ambroise Baril , Miguel Couceiro , Victor Lagerkvist

The maximum common subtree isomorphism problem asks for the largest possible isomorphism between subtrees of two given input trees. This problem is a natural restriction of the maximum common subgraph problem, which is ${\sf NP}$-hard in…

Data Structures and Algorithms · Computer Science 2016-08-23 Andre Droschinsky , Nils M. Kriege , Petra Mutzel

The interface between stochastic analysis and machine learning is a rapidly evolving field, with path signatures - iterated integrals that provide faithful, hierarchical representations of paths - offering a principled and universal feature…

Machine Learning · Statistics 2025-06-26 Csaba Tóth

Reconfiguration paths express sequences of successive reconfiguration operations within a component-based approach allowing dynamic reconfigurations. We use constructs from regular expressions-pin particular, alternatives-to introduce…

Software Engineering · Computer Science 2017-03-22 Jean-Michel Hufflen

The article studies query evaluation in parallel constant time in the CRCW PRAM model. While it is well-known that all relational algebra queries can be evaluated in constant time on an appropriate CRCW PRAM model, this article is…

Databases · Computer Science 2026-05-14 Jens Keppeler , Thomas Schwentick , Christopher Spinrath
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