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Recent advances in neural network pruning have shown how it is possible to reduce the computational costs and memory demands of deep learning models before training. We focus on this framework and propose a new pruning at initialization…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Leonardo Iurada , Marco Ciccone , Tatiana Tommasi

We consider an edge-weighted uniform random graph with a given degree sequence (Repeated Configuration Model) which is a useful approximation for many real-world networks. It has been observed that the vertices which are separated from the…

Probability · Mathematics 2012-09-14 Bartlomiej Blaszczyszyn , Kumar Gaurav

Using edge weights is essential for modeling real-world systems where links possess relevant information, and preserving this information in low-dimensional representations is relevant for classification and prediction tasks. This paper…

Social and Information Networks · Computer Science 2025-08-12 Adilson Vital , Filipi N. Silva , Diego R. Amancio

A key generative principle within social and other complex networks is transitivity, where friends of friends are more likely friends. We propose a new model for highly dense complex networks based on transitivity, called the Iterated Local…

Social and Information Networks · Computer Science 2023-01-24 Anthony Bonato , Ketan Chaudhary

Many high-stakes AI deployments proceed only if every stakeholder deems the system acceptable relative to their own minimum standard. With randomization over a finite menu of options, this becomes a feasibility question: does there exist a…

Computer Science and Game Theory · Computer Science 2026-04-21 Davin Choo , Paul W. Goldberg , Nicholas Teh

Empirical networks are often globally sparse, with a small average number of connections per node, when compared to the total size of the network. However, this sparsity tends not to be homogeneous, and networks can also be locally dense,…

Physics and Society · Physics 2020-07-20 Tiago P. Peixoto

Lotteries are a prevalent form of gambling between a seller and buyers. Designing a lottery requires a model of how buyers make decisions when confronted with uncertain outcomes. Cumulative prospect theory (CPT) is a descriptive model that…

Computer Science and Game Theory · Computer Science 2026-05-20 Shunta Akiyama , Mitsuaki Obara , Yasushi Kawase

We study worst-case VCG redistribution mechanism design for the public project problem. We use a multilayer perceptron (MLP) with ReLU activation to model the payment function and use mixed integer programming (MIP) to solve for the…

Computer Science and Game Theory · Computer Science 2023-12-19 Mingyu Guo

Neural networks have achieved tremendous success in a large variety of applications. However, their memory footprint and computational demand can render them impractical in application settings with limited hardware or energy resources. In…

Machine Learning · Computer Science 2022-10-19 Steffen Schotthöfer , Emanuele Zangrando , Jonas Kusch , Gianluca Ceruti , Francesco Tudisco

In order to understand if and how strategic resource allocation can constrain the structure of pair-wise competition outcomes in competitive human competitions we introduce a new multiplayer resource allocation game, the Population Lotto…

Computer Science and Game Theory · Computer Science 2022-09-02 Giovanni Artiglio , Aiden Youkhana , Joel Nishimura

In this paper, an Eliteness Hypothesis for information retrieval is proposed, where we define two generative processes to create information items and queries. By assuming the deterministic relationships between the eliteness of terms and…

Information Retrieval · Computer Science 2011-08-16 Jagadeesh Gorla , Stephen Robertson , Jun Wang

In information retrieval (IR) and related tasks, term weighting approaches typically consider the frequency of the term in the document and in the collection in order to compute a score reflecting the importance of the term for the…

Machine Learning · Computer Science 2021-09-22 Alejandro Moreo Fernández , Andrea Esuli , Fabrizio Sebastiani

We consider the statistical inference problem of recovering an unknown perfect matching, hidden in a weighted random graph, by exploiting the information arising from the use of two different distributions for the weights on the edges…

Disordered Systems and Neural Networks · Physics 2020-08-10 Guilhem Semerjian , Gabriele Sicuro , Lenka Zdeborová

Networks are useful representations for complex systems. Especially, heterogeneous and asymmetrical relations commonly found in complex systems can be converted to weighted directed edges between nodes. The disparity filter (Serrano et al.,…

Physics and Society · Physics 2025-11-21 Hyunuk Kim

Singular-value-decomposition-based coherent integrated photonic neural networks (SC-IPNNs) have a large footprint, suffer from high static power consumption for training and inference, and cannot be pruned using conventional DNN pruning…

Emerging Technologies · Computer Science 2021-12-15 Sanmitra Banerjee , Mahdi Nikdast , Sudeep Pasricha , Krishnendu Chakrabarty

We investigate the training of sparse layers that use different parameters for different inputs based on hashing in large Transformer models. Specifically, we modify the feedforward layer to hash to different sets of weights depending on…

Machine Learning · Computer Science 2021-07-21 Stephen Roller , Sainbayar Sukhbaatar , Arthur Szlam , Jason Weston

Complex machine learning algorithms are used more and more often in critical tasks involving text data, leading to the development of interpretability methods. Among local methods, two families have emerged: those computing importance…

Machine Learning · Computer Science 2025-10-22 Gianluigi Lopardo , Damien Garreau

The Johnson--Lindenstrauss (JL) lemma is a powerful tool for dimensionality reduction in modern algorithm design. The lemma states that any set of high-dimensional points in a Euclidean space can be flattened to lower dimensions while…

Probability · Mathematics 2024-11-08 Kwassi Joseph Dzahini , Stefan M. Wild

We study a setting where tickets for an experience are allocated by lottery. Each agent belongs to a group, and a group is successful if and only if its members receive enough tickets for everyone. A lottery is efficient if it maximizes the…

Computer Science and Game Theory · Computer Science 2022-05-24 Nick Arnosti , Carlos Bonet

We consider the problem of inferring an unknown ranking of $n$ items from a random tournament on $n$ vertices whose edge directions are correlated with the ranking. We establish, in terms of the strength of these correlations, the…

Statistics Theory · Mathematics 2024-07-24 Dmitriy Kunisky , Daniel A. Spielman , Xifan Yu