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Socio-technical systems usually consists of many intertwined networks, each connecting different types of objects (or actors) through a variety of means. As these networks are co-dependent, one can take advantage of this entangled structure…

Social and Information Networks · Computer Science 2019-06-28 Hong-Lan Botterman , Robin Lamarche-Perrin

Efforts to improve the learning abilities of neural networks have focused mostly on the role of optimization methods rather than on weight initializations. Recent findings, however, suggest that neural networks rely on lucky random initial…

Machine Learning · Computer Science 2020-09-04 Jacob M. Springer , Garrett T. Kenyon

In order to conduct analyses of networked systems where connections between individuals take on a range of values - counts, continuous strengths or ordinal rankings - a common technique is to dichotomize the data according to their…

Applications · Statistics 2015-03-17 Andrew C. Thomas , Joseph K. Blitzstein

Recent works have shown that Dataset Distillation, the process for summarizing the training data, can be leveraged to accelerate the training of deep learning models. However, its impact on training dynamics, particularly in neural network…

Machine Learning · Computer Science 2025-04-15 Luke McDermott , Rahul Parhi

The world of empirical machine learning (ML) strongly relies on benchmarks in order to determine the relative effectiveness of different algorithms and methods. This paper proposes the notion of "a benchmark lottery" that describes the…

Machine Learning · Computer Science 2021-07-19 Mostafa Dehghani , Yi Tay , Alexey A. Gritsenko , Zhe Zhao , Neil Houlsby , Fernando Diaz , Donald Metzler , Oriol Vinyals

Weight thresholding is a simple technique that aims at reducing the number of edges in weighted networks that are otherwise too dense for the application of standard graph theoretical methods. We show that the group structure of real…

Physics and Society · Physics 2018-10-17 Xiaoran Yan , Lucas G. S. Jeub , Alessandro Flammini , Filippo Radicchi , Santo Fortunato

In this paper, we find that the complexity of interactions encoded by a deep neural network (DNN) can explain its generalization power. We also discover that the confusing samples of a DNN, which are represented by non-generalizable…

Machine Learning · Computer Science 2025-02-13 Junpeng Zhang , Lei Cheng , Qing Li , Liang Lin , Quanshi Zhang

The paper analyzes theoretically and empirically the performance of likelihood weighting (LW) on a subset of nodes in Bayesian networks. The proposed scheme requires fewer samples to converge due to reduction in sampling variance. The…

Artificial Intelligence · Computer Science 2012-07-02 Bozhena Bidyuk , Rina Dechter

The strong lottery ticket hypothesis holds the promise that pruning randomly initialized deep neural networks could offer a computationally efficient alternative to deep learning with stochastic gradient descent. Common parameter…

Machine Learning · Computer Science 2022-06-08 Jonas Fischer , Advait Gadhikar , Rebekka Burkholz

At a first glance lottery is a form of gambling, a game in which the chances of winning is extremely small. But upon a deeper look, considering that the Jackpot prize of lotteries is a result of the active participation of millions of…

Data Analysis, Statistics and Probability · Physics 2024-02-20 István Gere , Szabolcs Kelemen , Zoltán Néda , Tamás S. Biró

Latent variable models for network data extract a summary of the relational structure underlying an observed network. The simplest possible models subdivide nodes of the network into clusters; the probability of a link between any two nodes…

Machine Learning · Computer Science 2012-07-03 Konstantina Palla , David Knowles , Zoubin Ghahramani

This paper introduces a novel tree-based model, Learning Hyperplane Tree (LHT), which outperforms state-of-the-art (SOTA) tree models for classification tasks on several public datasets. The structure of LHT is simple and efficient: it…

Machine Learning · Computer Science 2025-01-16 Hongyi Li , Jun Xu , William Ward Armstrong

A large number of complex systems find a natural abstraction in the form of weighted networks whose nodes represent the elements of the system and the weighted edges identify the presence of an interaction and its relative strength. In…

Physics and Society · Physics 2009-04-23 M. Angeles Serrano , Marian Boguna , Alessandro Vespignani

We show that, in a resource allocation problem, the ex ante aggregate utility of players with cumulative-prospect-theoretic preferences can be increased over deterministic allocations by implementing lotteries. We formulate an optimization…

Theoretical Economics · Economics 2020-12-07 Soham R. Phade , Venkat Anantharam

In real networks complex topological features are often associated with a diversity of interactions as measured by the weights of the links. Moreover, spatial constraints may as well play an important role, resulting in a complex interplay…

Physics and Society · Physics 2014-11-18 Luca Dall'Asta , Alain Barrat , Marc Barthelemy , Alessandro Vespignani

We argue that many properties of fully-connected feedforward neural networks (FCNNs), also called multi-layer perceptrons (MLPs), are explainable from the analysis of a single pair of operations, namely a random projection into a…

Machine Learning · Computer Science 2022-11-29 Sayandev Mukherjee , Bernardo A. Huberman

Recent research shows that sublevel sets of the loss surfaces of overparameterized networks are connected, exactly or approximately. We describe and compare experimentally a panel of methods used to connect two low-loss points by a low-loss…

Machine Learning · Computer Science 2020-08-04 Ivan Anokhin , Dmitry Yarotsky

We study the problem of interpreting trained classification models in the setting of linguistic data sets. Leveraging a parse tree, we propose to assign least-squares based importance scores to each word of an instance by exploiting…

Machine Learning · Computer Science 2019-02-13 Jianbo Chen , Michael I. Jordan

Our theoretical understanding of neural networks is lagging behind their empirical success. One of the important unexplained phenomena is why and how, during the process of training with gradient descent, the theoretical capacity of neural…

Machine Learning · Computer Science 2026-05-08 Hannah Pinson

The performance of Large Language Models is influenced by their characteristics such as architecture, model sizes, decoding methods and so on. Due to differences in structure or function, the weights in different layers of large models have…

Machine Learning · Computer Science 2025-09-03 Chunming Ye , Songzhou Li , Xu Xu