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This work introduces the IB-score, a family of independence-based score functions for robust learning of Markov networks independence structures. Markov networks are a widely used graphical representation of probability distributions, with…

Artificial Intelligence · Computer Science 2015-03-17 Facundo Bromberg , Federico Schlüter

We study an NP-hard problem motivated by energy-efficiently maintaining the connectivity of a symmetric wireless communication network: Given an edge-weighted $n$-vertex graph, find a connected spanning subgraph of minimum cost, where the…

Data Structures and Algorithms · Computer Science 2022-03-23 Matthias Bentert , René van Bevern , André Nichterlein , Rolf Niedermeier , Pavel V. Smirnov

Graph neural networks (GNNs) have demonstrated success in learning representations of brain graphs derived from functional magnetic resonance imaging (fMRI) data. However, existing GNN methods assume brain graphs are static over time and…

Machine Learning · Computer Science 2023-07-11 Alexander Campbell , Antonio Giuliano Zippo , Luca Passamonti , Nicola Toschi , Pietro Lio

A key functionality of emerging connected autonomous systems such as smart cities, smart transportation systems, and the industrial Internet-of-Things, is the ability to process and learn from data collected at different physical locations.…

Machine Learning · Computer Science 2021-03-09 Konstantinos Gatsis

We develop and analyze methods for computing provably optimal {\em maximum a posteriori} (MAP) configurations for a subclass of Markov random fields defined on graphs with cycles. By decomposing the original distribution into a convex…

Information Theory · Computer Science 2007-07-13 Martin J. Wainwright , Tommi S. Jaakkola , Alan S. Willsky

Many optimization, inference and learning tasks can be accomplished efficiently by means of decentralized processing algorithms where the network topology (i.e., the graph) plays a critical role in enabling the interactions among…

Multiagent Systems · Computer Science 2020-08-06 Vincenzo Matta , Augusto Santos , Ali H. Sayed

Graphical models have gained a lot of attention recently as a tool for learning and representing dependencies among variables in multivariate data. Often, domain scientists are looking specifically for differences among the dependency…

Machine Learning · Statistics 2013-07-11 Diane Oyen , Alexandru Niculescu-Mizil , Rachel Ostroff , Alex Stewart , Vincent P. Clark

Communication efficiency arises as a necessity in federated learning due to limited communication bandwidth. To this end, the present paper develops an algorithmic framework where an ensemble of pre-trained models is learned. At each…

Machine Learning · Computer Science 2022-03-01 Pouya M Ghari , Yanning Shen

Finding optimal paths in connected graphs requires determining the smallest total cost for traveling along the graph's edges. This problem can be solved by several classical algorithms where, usually, costs are predefined for all edges.…

Machine Learning · Computer Science 2023-11-03 Tomas Kulvicius , Minija Tamosiunaite , Florentin Wörgötter

Graph matching can be formalized as a combinatorial optimization problem, where there are corresponding relationships between pairs of nodes that can be represented as edges. This problem becomes challenging when there are potential…

Computer Vision and Pattern Recognition · Computer Science 2023-01-06 Dongdong Chen , Yuxing Dai , Lichi Zhang , Zhihong Zhang

Structured prediction tasks in machine learning involve the simultaneous prediction of multiple labels. This is typically done by maximizing a score function on the space of labels, which decomposes as a sum of pairwise elements, each…

Machine Learning · Computer Science 2014-09-23 Amir Globerson , Tim Roughgarden , David Sontag , Cafer Yildirim

Modelling long-range dependencies is critical for scene understanding tasks in computer vision. Although CNNs have excelled in many vision tasks, they are still limited in capturing long-range structured relationships as they typically…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 Li Zhang , Dan Xu , Anurag Arnab , Philip H. S. Torr

Consider a network design application where we wish to lay down a minimum-cost spanning tree in a given graph; however, we only have stochastic information about the edge costs. To learn the precise cost of any edge, we have to conduct a…

Data Structures and Algorithms · Computer Science 2017-11-02 Sahil Singla

In this paper, we explore a novel image matting task aimed at achieving efficient inference under various computational cost constraints, specifically FLOP limitations, using a single matting network. Existing matting methods which have not…

Computer Vision and Pattern Recognition · Computer Science 2025-03-06 Qinglin Liu , Zonglin Li , Xiaoqian Lv , Xin Sun , Ru Li , Shengping Zhang

We present a distributed anytime algorithm for performing MAP inference in graphical models. The problem is formulated as a linear programming relaxation over the edges of a graph. The resulting program has a constraint structure that…

Artificial Intelligence · Computer Science 2012-02-20 Joop van de Ven , Fabio Ramos

We study the problem of causal structure learning from data using optimal transport (OT). Specifically, we first provide a constraint-based method which builds upon lower-triangular monotone parametric transport maps to design conditional…

Methodology · Statistics 2023-05-30 Sina Akbari , Luca Ganassali , Negar Kiyavash

Message passing neural networks have recently evolved into a state-of-the-art approach to representation learning on graphs. Existing methods perform synchronous message passing along all edges in multiple subsequent rounds and consequently…

Machine Learning · Computer Science 2020-12-21 Julian Busch , Jiaxing Pi , Thomas Seidl

This paper leverages the framework of algorithms-with-predictions to design data structures for two fundamental dynamic graph problems: incremental topological ordering and cycle detection. In these problems, the input is a directed graph…

Data Structures and Algorithms · Computer Science 2024-02-20 Samuel McCauley , Benjamin Moseley , Aidin Niaparast , Shikha Singh

This paper deals with an optimization problem over a network of agents, where the cost function is the sum of the individual objectives of the agents and the constraint set is the intersection of local constraints. Most existing methods…

Optimization and Control · Mathematics 2018-06-20 Van Sy Mai , Eyad H. Abed

In statistics and machine learning, detecting dependencies in datasets is a central challenge. We propose a novel neural network model for supervised graph structure learning, i.e., the process of learning a mapping between observational…

Machine Learning · Statistics 2024-02-14 Philipp Froehlich , Heinz Koeppl