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Non-planarity of Markoff graphs mod p

Matthew De Courcy-Ireland

We prove the non-planarity of a family of 3-regular graphs constructed from the solutions to the Markoff equation x2 + y2 + z2 = xyz modulo prime numbers greater than 7. The proof uses Euler characteristic and an enumeration of the short cycles in these gr ...

Berlin2024

Querying the Digital Archive of Science: Distant Reading, Semantic Modelling and Representation of Knowledge

Alina Volynskaya

The archive of science is a place where scientific practices are sedimented in the form of drafts, protocols of rejected hypotheses and failed experiments, obsolete instruments, outdated visualizations and other residues. Today, just as science goes more a ...

EPFL2024

Graph machine learning offers a powerful framework with natural applications in scientific fields such as chemistry, biology and material sciences. By representing data as a graph, we encode the prior knowledge that the data is composed of a set of entitie ...

EPFL2023

Maximum Independent Set: Self-Training through Dynamic Programming

Volkan Cevher, Grigorios Chrysos, Efstratios Panteleimon Skoulakis

This work presents a graph neural network (GNN) framework for solving the maximum independent set (MIS) problem, inspired by dynamic programming (DP). Specifically, given a graph, we propose a DP-like recursive algorithm based on GNNs that firstly construc ...

2023

Algorithms push forward the application of MALDI-TOF mass fingerprinting in rapid precise diagnosis

Hubert Girault, Yingdi Zhu

Macromolecular mass fingerprinting using matrix-assisted laser desorption/ionization time-of-flight mass spectrometry is a quick tool for biochemical analysis. In combination with algorithms for automated data analysis and interpretation, it has wide appli ...

WILEY2023

From Archival Sources to Structured Historical Information: Annotating and Exploring the "Accordi dei Garzoni"

Frédéric Kaplan, Maud Ehrmann, Orlin Biserov Topalov

If automatic document processing techniques have achieved a certain maturity for present time documents, the transformation of hand-written documents into well-represented, structured and connected data which can satisfactorily be used for historical study ...

Routledge, Taylor & Francis Group2023

Graph Embedding for Retrieval

Chi Thang Duong

Information retrieval (IR) systems such as search engines are important for people to find what they need among the tremendous amount of data available in their organization or on the Internet. These IR systems enable users to search in a large data collec ...

EPFL2022

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Graph neural networks take node features and graph structure as input to build representations for nodes and graphs. While there are a lot of focus on GNN models, understanding the impact of node features and graph structure to GNN performance has received ...

ELSEVIER2022

Reproducibility dataset for CRYOWRF validation

Varun Sharma, Michael Lehning, Franziska Gerber

This dataset contains data and scripts for "CRYOWRF - a validation and the effect of blowing snow on the Antarctic SMB" (Gerber et al., 2022).* Simulation_setup: Namelists and input information to run the simulation. Some input files need to be downloaded ...

EPFL Infoscience2022

A Posthumous Rivalry: On Borelli and Viviani's Relationship between the Accademia del Cimento and en Eighteenth-Century Controversy

Simon François Dumas Primbault

Between around 1656 and the late 1660s, Giovanni Alfonso Borelli and Vincenzio Viviani, self-proclaimed last disciple of Galileo, collaborated on a host of math- ematical, physico-mathematical, and experimental problems, notably within the Acca- demia del ...

2022