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Graphs have become pervasive tools to represent information and datasets with irregular support. However, in many cases, the underlying graph is either unavailable or naively obtained, calling for more advanced methods to its estimation.…

Signal Processing · Electrical Eng. & Systems 2023-03-14 Andrei Buciulea , Antonio G. Marques

This paper introduces a novel algorithm for cardinality, i.e., the number of nodes, estimation in large scale anonymous graphs using statistical inference methods. Applications of this work include estimating the number of sensor devices,…

Information Theory · Computer Science 2015-08-21 Ahmed Douik , Salah A. Aly , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

Despite their success and widespread adoption, the opaque nature of deep neural networks (DNNs) continues to hinder trust, especially in critical applications. Current interpretability solutions often yield inconsistent or oversimplified…

Machine Learning · Computer Science 2024-10-10 Alec F. Diallo , Vaishak Belle , Paul Patras

We present a technique of proving lower bounds for noisy computations. This is achieved by a theorem connecting computations on a kind of randomized decision trees and sampling based algorithms. This approach is surprisingly powerful, and…

Computational Complexity · Computer Science 2015-03-03 Chinmoy Dutta , Jaikumar Radhakrishnan

This paper investigates the cumulative Integer-Valued Autoregressive model of infinite order, denoted as INAR($\infty$), a class of processes crucial for modeling count time series and equivalent to discrete-time Hawkes processes. We…

Statistics Theory · Mathematics 2025-06-12 Yingli Wang , Xiaohong Duan , Ping He

This paper considers a linear regression model with an endogenous regressor which arises from a nonlinear transformation of a latent variable. It is shown that the corresponding coefficient can be consistently estimated without external…

Econometrics · Economics 2023-11-08 Jörg Breitung , Alexander Mayer , Dominik Wied

Bayesian inference in high-dimensional discrete-input additive noise models is a fundamental challenge in communication systems, as the support of the required joint a posteriori probability (APP) mass function grows exponentially with the…

Information Theory · Computer Science 2026-04-08 Luca Schmid , Dominik Sulz , Shrinivas Chimmalgi , Laurent Schmalen

Network-topology inference from (vertex) signal observations is a prominent problem across data-science and engineering disciplines. Most existing schemes assume that observations from all nodes are available, but in many practical…

Methodology · Statistics 2021-11-11 Andrei Buciulea , Samuel Rey , Antonio G. Marques

Causal reasoning is often challenging with spatial data, particularly when handling high-dimensional inputs. To address this, we propose a neural network (NN) based framework integrated with an approximate Gaussian process to manage spatial…

Machine Learning · Computer Science 2024-12-06 Ziyang Jiang , Zach Calhoun , Yiling Liu , Lei Duan , David Carlson

Causal inference with observational studies often relies on the assumptions of unconfoundedness and overlap of covariate distributions in different treatment groups. The overlap assumption is violated when some units have propensity scores…

Methodology · Statistics 2022-07-19 Shu Yang , Peng Ding

Classic Network Intrusion Detection Systems (NIDS) often rely on manual feature engineering to extract meaningful patterns from network traffic data. However, this approach requires domain expertise and runs counter to the widely adopted…

Machine Learning · Computer Science 2026-05-05 Muhammad Usman Butt , Andreas Hotho , Daniel Schlör

Inference for belief networks using Gibbs sampling produces a distribution for unobserved variables that differs from the correct distribution by a (usually) unknown error, since convergence to the right distribution occurs only…

Artificial Intelligence · Computer Science 2013-01-18 Michael Harvey , Radford M. Neal

Sampled network data are widely used in empirical research because collecting complete network information is costly. However, empirical analyses based on sampled networks may lead to biased estimators. We propose a nonparametric imputation…

Econometrics · Economics 2026-05-12 Ge Sun , Weisheng Zhang

Accurate estimation of output quantiles is crucial in many use cases, where it is desired to model the range of possibility. Modeling target distribution at arbitrary quantile levels and at arbitrary input attribute levels are important to…

Artificial Intelligence · Computer Science 2023-01-13 Ruoxi Sun , Chun-Liang Li , Sercan O. Arik , Michael W. Dusenberry , Chen-Yu Lee , Tomas Pfister

Network troubleshooting is still a heavily human-intensive process. To reduce the time spent by human operators in the diagnosis process, we present a system based on (i) unsupervised learning methods for detecting anomalies in the time…

Networking and Internet Architecture · Computer Science 2021-08-27 Jose M. Navarro , Alexis Huet , Dario Rossi

Many physical, biological, and social phenomena can be described by cascades taking place on a network. Often, the activity can be empirically observed, but not the underlying network of interactions. In this paper we offer three…

Social and Information Networks · Computer Science 2017-07-24 Sushrut Ghonge , Dervis Can Vural

This paper focuses on drawing statistical inference based on a novel variant of maxima or minima nomination sampling (NS) designs. These sampling designs are useful for obtaining more representative sample units from the tails of the…

Methodology · Statistics 2021-06-01 Zeinab Akbari Ghamsari , Ehsan Zamanzade , Majid Asadi

Identifying influential nodes in complex networks is a critical task with a wide range of applications across different domains. However, existing approaches often face trade-offs between accuracy and computational efficiency. To address…

Social and Information Networks · Computer Science 2025-07-29 Mohammed A. Ramadhan , Abdulhakeem O. Mohammed

Online topology estimation of graph-connected time series is challenging, especially since the causal dependencies in many real-world networks are nonlinear. In this paper, we propose a kernel-based algorithm for graph topology estimation.…

Machine Learning · Computer Science 2021-10-20 Rohan Money , Joshin Krishnan , Baltasar Beferull-Lozano

Network-linked data, where multivariate observations are interconnected by a network, are becoming increasingly prevalent in fields such as sociology and biology. These data often exhibit inherent noise and complex relational structures,…

Methodology · Statistics 2025-09-11 Jianxiang Wang , Can M. Le , Tianxi Li