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As traditional neural network consumes a significant amount of computing resources during back propagation, \citet{Sun2017mePropSB} propose a simple yet effective technique to alleviate this problem. In this technique, only a small subset…

Machine Learning · Computer Science 2017-09-27 Bingzhen Wei , Xu Sun , Xuancheng Ren , Jingjing Xu

Given an aftermath of a cascade in the network, i.e. a set $V_I$ of "infected" nodes after an epidemic outbreak or a propagation of rumors/worms/viruses, how can we infer the sources of the cascade? Answering this challenging question is…

Social and Information Networks · Computer Science 2016-08-24 Hung T. Nguyen , Preetam Ghosh , Michael L. Mayo , Thang N. Dinh

A matrix network is a family of matrices, with relatedness modeled by a weighted graph. We consider the task of completing a partially observed matrix network. We assume a novel sampling scheme where a fraction of matrices might be…

Machine Learning · Computer Science 2018-06-11 Qingyun Sun , Mengyuan Yan David Donoho , Stephen Boyd

Diffusion models (DMs) are advanced deep learning models that achieved state-of-the-art capability on a wide range of generative tasks. However, recent studies have shown their vulnerability regarding backdoor attacks, in which backdoored…

Artificial Intelligence · Computer Science 2024-09-24 Vu Tuan Truong , Long Bao Le

We marry ideas from deep neural networks and approximate Bayesian inference to derive a generalised class of deep, directed generative models, endowed with a new algorithm for scalable inference and learning. Our algorithm introduces a…

Machine Learning · Statistics 2014-06-02 Danilo Jimenez Rezende , Shakir Mohamed , Daan Wierstra

In the standard trace reconstruction problem, the goal is to \emph{exactly} reconstruct an unknown source string $\mathsf{x} \in \{0,1\}^n$ from independent "traces", which are copies of $\mathsf{x}$ that have been corrupted by a…

Data Structures and Algorithms · Computer Science 2021-08-26 Xi Chen , Anindya De , Chin Ho Lee , Rocco A. Servedio , Sandip Sinha

The ''trace reconstruction'' problem asks, given an unknown binary string $x$ and a channel that repeatedly returns ''traces'' of $x$ with each bit randomly deleted with some probability $p$, how many traces are needed to recover $x$? There…

Data Structures and Algorithms · Computer Science 2025-12-03 Arnav Burudgunte , Paul Valiant , Hongao Wang

The problem of reconstructing and identifying intracellular protein signaling and biochemical networks is of critical importance in biology today. We sought to develop a mathematical approach to this problem using, as a test case, one of…

Data Analysis, Statistics and Probability · Physics 2012-06-15 D. Napoletani , T. Sauer , D. C. Struppa , E. Petricoin , L. Liotta

The paper presents an approach to estimate Origin-Destination (OD) flows and their path splits, based on traffic counts on links in the network. The approach called Compressive Origin-Destination Estimation (CODE) is inspired by Compressive…

Systems and Control · Computer Science 2014-07-23 Borhan M. Sanandaji , Pravin P. Varaiya

The goal of trace reconstruction is to reconstruct an unknown $n$-bit string $x$ given only independent random traces of $x$, where a random trace of $x$ is obtained by passing $x$ through a deletion channel. A Statistical Query (SQ)…

Data Structures and Algorithms · Computer Science 2024-07-17 Xi Chen , Anindya De , Chin Ho Lee , Rocco A. Servedio

Tomography is the three-dimensional reconstruction of an object from images taken at different angles. The term classical tomography is used, when the imaging beam travels in straight lines through the object. This assumption is valid for…

Quantitative Methods · Quantitative Biology 2016-10-10 Paul Müller , Mirjam Schürmann , Jochen Guck

Backdoor (Trojan) attacks are an important type of adversarial exploit against deep neural networks (DNNs), wherein a test instance is (mis)classified to the attacker's target class whenever the attacker's backdoor trigger is present. In…

Machine Learning · Computer Science 2023-08-22 Xi Li , Zhen Xiang , David J. Miller , George Kesidis

Target Propagation (TP) algorithms compute targets instead of gradients along neural networks and propagate them backward in a way that is similar yet different than gradient back-propagation (BP). The idea was first presented as a…

Machine Learning · Computer Science 2021-12-03 Vincent Roulet , Zaid Harchaoui

In this paper we solve the problem: how to determine maximal allowable errors, possible for signals and parameters of each element of a network proceeding from the condition that the vector of output signals of the network should be…

Disordered Systems and Neural Networks · Physics 2022-05-18 M. Yu. Senashova , A. N. Gorban , D. C. Wunsch

Very deep Convolutional Neural Networks (CNNs) have greatly improved the performance on various image restoration tasks. However, this comes at a price of increasing computational burden, hence limiting their practical usages. We observe…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Ke Yu , Xintao Wang , Chao Dong , Xiaoou Tang , Chen Change Loy

Inferring the network topology from the dynamics is a fundamental problem with wide applications in geology, biology and even counter-terrorism. Based on the propagation process, we present a simple method to uncover the network topology.…

Physics and Society · Physics 2013-11-21 An Zeng

We develop and analyze algorithms for dispersing a swarm of primitive robots in an unknown environment, R. The primary objective is to minimize the makespan, that is, the time to fill the entire region. An environment is composed of pixels…

Technical signs of progress during the last decades has led to a situation in which the accumulation of genome sequence data is increasingly fast and cheap. The huge amount of molecular data available nowadays can help addressing new and…

Genomics · Quantitative Biology 2017-05-02 Christophe Guyeux , Bashar Al-Nuaimi , Bassam AlKindy , Jean-François Couchot , Michel Salomon

Recursive partitioning is the core of several statistical methods including CART, random forest, and boosted trees. Despite the popularity of tree based methods, to date, there did not exist methods for combining multiple trees into a…

Data Structures and Algorithms · Computer Science 2016-03-18 Sean Skwerer , Heping Zhang

Advanced persistent threats (APT) are stealthy cyber-attacks that are aimed at stealing valuable information from target organizations and tend to extend in time. Blocking all APTs is impossible, security experts caution, hence the…

Cryptography and Security · Computer Science 2021-05-24 Sidahmed Benabderrahmane , Ghita Berrada , James Cheney , Petko Valtchev