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Inference problems with conjectured statistical-computational gaps are ubiquitous throughout modern statistics, computer science and statistical physics. While there has been success evidencing these gaps from the failure of restricted…

Computational Complexity · Computer Science 2020-06-30 Matthew Brennan , Guy Bresler

We present a novel approach for the problem of frequency estimation in data streams that is based on optimization and machine learning. Contrary to state-of-the-art streaming frequency estimation algorithms, which heavily rely on random…

Data Structures and Algorithms · Computer Science 2022-07-19 Dimitris Bertsimas , Vassilis Digalakis

The Densest Subgraph Problem requires to find, in a given graph, a subset of vertices whose induced subgraph maximizes a measure of density. The problem has received a great deal of attention in the algorithmic literature since the early…

Data Structures and Algorithms · Computer Science 2024-04-19 Tommaso Lanciano , Atsushi Miyauchi , Adriano Fazzone , Francesco Bonchi

We present algorithms for topic modeling based on the geometry of cross-document word-frequency patterns. This perspective gains significance under the so called separability condition. This is a condition on existence of novel-words that…

Machine Learning · Statistics 2013-03-19 Weicong Ding , Mohammad H. Rohban , Prakash Ishwar , Venkatesh Saligrama

For any particular class of graphs, algorithms for computational problems restricted to the class often rely on structural properties that depend on the specific problem at hand. This begs the question if a large set of such results can be…

There have been many recent studies on sequential pattern mining. The sequential pattern mining on progressive databases is relatively very new, in which we progressively discover the sequential patterns in period of interest. Period of…

Databases · Computer Science 2010-07-15 B. N. Keshavamurthy , Mitesh Sharma , Durga Toshniwal

Modeling information that resides on vertices of large graphs is a key problem in several real-life applications, ranging from social networks to the Internet-of-things. Signal Processing on Graphs and, in particular, graph wavelets can…

Data Structures and Algorithms · Computer Science 2016-06-14 Arlei Silva , Xuan-Hong Dang , Prithwish Basu , Ambuj K Singh , Ananthram Swami

While many approaches to make neural networks more fathomable have been proposed, they are restricted to interrogating the network with input data. Measures for characterizing and monitoring structural properties, however, have not been…

Machine Learning · Computer Science 2019-09-30 Bastian Rieck , Matteo Togninalli , Christian Bock , Michael Moor , Max Horn , Thomas Gumbsch , Karsten Borgwardt

The network inference problem consists of reconstructing the edge set of a network given traces representing the chronology of infection times as epidemics spread through the network. This problem is a paradigmatic representative of…

Data Structures and Algorithms · Computer Science 2013-08-14 Bruno Abrahao , Flavio Chierichetti , Robert Kleinberg , Alessandro Panconesi

In the recent research of data mining, frequent structures in a sequence of graphs have been studied intensively, and one of the main concern is changing structures along a sequence of graphs that can capture dynamic properties of data. On…

Data Structures and Algorithms · Computer Science 2012-06-28 Takeaki Uno , Yushi Uno

Frequent itemset mining has emerged as a fundamental problem in data mining and plays an important role in many data mining tasks, such as association analysis, classification, etc. In the framework of frequent itemset mining, the results…

Databases · Computer Science 2015-12-25 Zhi-Hong Deng

Analyzing time series in the frequency domain enables the development of powerful tools for investigating the second-order characteristics of multivariate processes. Parameters like the spectral density matrix and its inverse, the coherence…

Methodology · Statistics 2024-01-19 Jonas Krampe , Efstathios Paparoditis

We study the problem of efficiently refuting the k-colorability of a graph, or equivalently certifying a lower bound on its chromatic number. We give formal evidence of average-case computational hardness for this problem in sparse random…

Computational Complexity · Computer Science 2020-08-28 Afonso S. Bandeira , Jess Banks , Dmitriy Kunisky , Cristopher Moore , Alexander S. Wein

With distributed computing and mobile applications becoming ever more prevalent, synchronizing diverging replicas of the same data is a common problem. Reconciliation -- bringing two replicas of the same data structure as close as possible…

Information Theory · Computer Science 2022-08-10 Elod P. Csirmaz , Laszlo Csirmaz

We study the classical scheduling problem on parallel machines %with precedence constraints where the precedence graph has the bounded depth $h$. Our goal is to minimize the maximum completion time. We focus on developing approximation…

Data Structures and Algorithms · Computer Science 2023-02-02 Bin Fu , Yumei Huo , Hairong Zhao

Computing the densest subgraph is a primitive graph operation with critical applications in detecting communities, events, and anomalies in biological, social, Web, and financial networks. In this paper, we study the novel problem of Most…

Social and Information Networks · Computer Science 2022-12-23 Arkaprava Saha , Xiangyu Ke , Arijit Khan , Cheng Long

We initiate a study of algorithms with a focus on the computational complexity of individual elements, and introduce the fragile complexity of comparison-based algorithms as the maximal number of comparisons any individual element takes…

Data Structures and Algorithms · Computer Science 2019-09-04 Peyman Afshani , Rolf Fagerberg , David Hammer , Riko Jacob , Irina Kostitsyna , Ulrich Meyer , Manuel Penschuck , Nodari Sitchinava

Motif counting plays a crucial role in understanding the structural properties of networks. By computing motif frequencies, researchers can draw key insights into the structural properties of the underlying network. As networks become…

Social and Information Networks · Computer Science 2025-03-26 Haozhe Yin , Kai Wang , Wenjie Zhang , Yizhang He , Ying Zhang , Xuemin Lin

We study the classic subgraph enumeration problem under distributed settings. Existing solutions either suffer from severe memory crisis or rely on large indexes, which makes them impractical for very large graphs. Most of them follow a…

Databases · Computer Science 2019-01-24 Xuguang Ren , Junhu Wang , Wook-Shin Han , Jeffrey Xu Yu

Learning properties of large graphs from samples has been an important problem in statistical network analysis since the early work of Goodman \cite{Goodman1949} and Frank \cite{Frank1978}. We revisit a problem formulated by Frank…

Statistics Theory · Mathematics 2019-06-18 Jason M. Klusowski , Yihong Wu