Publications related to Maximum Independent Set: Self-Training through Dynamic Programming

Maintenance scheduling of manufacturing systems based on optimal price of the network

Goods can exhibit positive externalities impacting decisions of customers in social networks. Suppliers can integrate these externalities in their pricing strategies to increase their revenue. Besides optimizing the prize, suppliers also have to consider t ...

2022

Incompleteness of graph neural networks for points clouds in three dimensions

Michele Ceriotti, Sergey Pozdnyakov

Graph neural networks (GNN) are very popular methods in machine learning and have been applied very successfully to the prediction of the properties of molecules and materials. First-order GNNs are well known to be incomplete, i.e. there exist graphs that ...

IOP Publishing Ltd2022

The power of adaptivity in source identification with time queries on the path

Patrick Thiran, Gergely Odor, Victor Cyril L Lecomte

We study the problem of identifying the source of a stochastic diffusion process spreading on a graph based on the arrival times of the diffusion at a few queried nodes. In a graph

G=(V,E)

, an unknown source node

v^* \in V

is drawn uniformly at random, ...

2022

Annihilation Filter Approach For Estimating Graph Dynamics From Diffusion Processes

Pascal Frossard, Arun Venkitaraman

We propose an approach for estimating graph diffusion processes using annihilation filters from a finite set of observations of the diffusion process made at regular intervals. Our approach is based on the key observation that a graph diffusion process can ...

IEEE2022

Sequential metric dimension for random graphs

Patrick Thiran, Gergely Odor

In the localization game on a graph, the goal is to find a fixed but unknown target node v* with the least number of distance queries possible. In the j-th step of the game, the player queries a single node v_j and receives, as an answer to their query, th ...

2021

Adaptive majority problems for restricted query graphs and for weighted sets

Abhishek Methuku, Balázs Keszegh

Suppose that the vertices of a graph G are colored with two colors in an unknown way. The color that occurs on more than half of the vertices is called the majority color (if it exists), and any vertex of this color is called a majority vertex. We study th ...

ELSEVIER2021

Representing graphs through data with learning and optimal transport

Hermina Petric Maretic

Graphs offer a simple yet meaningful representation of relationships between data. Thisrepresentation is often used in machine learning algorithms in order to incorporate structuralor geometric information about data. However, it can also be used in an inv ...

EPFL2021

On the constancy theorem for anisotropic energies through differential inclusions

Riccardo Tione

In this paper we study stationary graphs for functionals of geometric nature defined on currents or varifolds. The point of view we adopt is the one of differential inclusions, introduced in this context in the recent papers (De Lellis et al. in Geometric ...

2021

Atomic subgraphs and the statistical mechanics of networks

Sofia Charlotta Olhede

We develop random graph models where graphs are generated by connecting not only pairs of vertices by edges, but also larger subsets of vertices by copies of small atomic subgraphs of arbitrary topology. This allows for the generation of graphs with extens ...

2021

Efficient Text-based Reinforcement Learning by Jointly Leveraging State and Commonsense Graph Representations

Mrinmaya Sachan, Mattia Atzeni

Text-based games (TBGs) have emerged as useful benchmarks for evaluating progress at the intersection of grounded language understanding and reinforcement learning (RL). Recent work has proposed the use of external knowledge to improve the efficiency of RL ...

ASSOC COMPUTATIONAL LINGUISTICS-ACL2021

Maximum Independent Set: Self-Training through Dynamic Programming

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Maintenance scheduling of manufacturing systems based on optimal price of the network

Incompleteness of graph neural networks for points clouds in three dimensions

The power of adaptivity in source identification with time queries on the path

Annihilation Filter Approach For Estimating Graph Dynamics From Diffusion Processes

Sequential metric dimension for random graphs

Adaptive majority problems for restricted query graphs and for weighted sets

Representing graphs through data with learning and optimal transport

On the constancy theorem for anisotropic energies through differential inclusions

Atomic subgraphs and the statistical mechanics of networks

Efficient Text-based Reinforcement Learning by Jointly Leveraging State and Commonsense Graph Representations

The power of adaptivity in source identification with time queries on the path

Incompleteness of graph neural networks for points clouds in three dimensions

Maintenance scheduling of manufacturing systems based on optimal price of the network

Annihilation Filter Approach For Estimating Graph Dynamics From Diffusion Processes

Sequential metric dimension for random graphs

Representing graphs through data with learning and optimal transport

Adaptive majority problems for restricted query graphs and for weighted sets

Efficient Text-based Reinforcement Learning by Jointly Leveraging State and Commonsense Graph Representations

On the constancy theorem for anisotropic energies through differential inclusions

Atomic subgraphs and the statistical mechanics of networks