A5043520324- Stochastic processes and statistical mechanics
- Complex Network Analysis Techniques
- Theoretical and Computational Physics
- Markov Chains and Monte Carlo Methods
- Opinion Dynamics and Social Influence
- Bioinformatics and Genomic Networks
- Gene Regulatory Network Analysis
- COVID-19 epidemiological studies
- Gut microbiota and health
- Mental Health Research Topics
- Powdery Mildew Fungal Diseases
- Food Security and Health in Diverse Populations
- Homelessness and Social Issues
- Gene expression and cancer classification
- Crystallization and Solubility Studies
- Anomaly Detection Techniques and Applications
- Mathematical Dynamics and Fractals
- Data-Driven Disease Surveillance
- Bayesian Methods and Mixture Models
- X-ray Diffraction in Crystallography
- Bacteriophages and microbial interactions
- Statistical Methods and Inference
- Human Mobility and Location-Based Analysis
- Topological and Geometric Data Analysis
- SARS-CoV-2 detection and testing
City College
2013-2024
City University of New York
2013-2024
City College of New York
2013-2024
The Graduate Center, CUNY
2020-2023
New York University
2012-2022
National University of Singapore
2022
Weizmann Institute of Science
2018
University of California, Davis
2015
Courant Institute of Mathematical Sciences
2012
Duke University
2009-2011
If we consider the contact process with infection rate λ on a random graph n vertices power law degree distributions, mean field calculations suggest that critical value λc of is positive if α>3. Physicists seem to regard this as an established fact, since result has recently been generalized bipartite graphs by Gómez-Gardeñes et al. [Proc. Natl. Acad. Sci. USA 105 (2008) 1399–1404]. Here, show zero for any α>3, and starting from all infected, probability tending 1 n→∞, maintains density...
Article10 March 2020Open Access Source DataTransparent process Targeting the pregnane X receptor using microbial metabolite mimicry Zdeněk Dvořák Corresponding Author [email protected] orcid.org/0000-0002-3938-3585 Department of Cell Biology and Genetics, Palacký University, Olomouc, Czech Republic Search for more papers by this author Felix Kopp Biochemistry, Albert Einstein College Medicine, Bronx, NY, USA Cait M Costello The Biological Environmental Engineering, Cornell Ithaca, Jazmin S...
We give a new construction of the incipient infinite cluster (IIC) associated with high-dimensional percolation in broad setting and under minimal assumptions. Our arguments differ substantially from earlier constructions IIC; we do not directly use machinery lace expansion or similar diagrammatic expansions. show that IIC may be constructed by conditioning on vertex being supercritical regime $p > p_c$ then taking \searrow p_c$. Furthermore, at criticality, connection to an arbitrary...
Disease management may require multiple decisions by growers on whether to apply a pesticide, the frequency of applications, and also type pesticide use. We developed models for estimating probability switching behavior hop related use non-synthetic or synthetic fungicides, mixtures thereof, powdery mildew (Podosphaera macularis). Growers used fungicides alone in 61.5% their later two 21.5% 17.0% total respectively. Binary logistic regression predicted that likelihood fungicide was...
Plant disease monitoring metadata is a rich source of information for predicting pesticide use and costs on individual fields, farms, or regionally. Pesticide patterns management hop powdery mildew (Podosphaera macularis) in Oregon were summarized by frequency active ingredients Fungicide Resistance Action Committee (FRAC) code. There was extensive variation the specific FRAC codes among growers, ranging from mean 0 to 2.41 applications per yard. All growers used fungicides with 7/11 13; all...
We introduce a new kind of percolation on finite graphs called jigsaw percolation. This model attempts to capture networks people who innovate by merging ideas and solve problems piecing together solutions. Each person in social network has unique piece puzzle. Acquainted with compatible puzzle pieces merge their pieces. More generally, groups merged if the know one another have pair The solves it eventually merges all For an Erd\H{o}s-R\'{e}nyi $n$ vertices edge probability $p_n$, we define...
Abstract We consider a model of long‐range first‐passage percolation on the d ‐dimensional square lattice ℤ in which any two distinct vertices x,y ∊ are connected by an edge having exponentially distributed passage time with mean ‖ x – y α+ o (1) , where α > 0 is fixed parameter and ‖·‖ l 1 –norm . analyze asymptotic growth rate set ß t consists all such that between origin at most as → ∞. show depending values there four regimes: (i) instantaneous for < (ii) stretched exponential ,2...
Although much of the focus statistical works on networks has been static networks, multiple are currently becoming more common among network data sets. Usually, a number sets, which share some form connection between each other known as or multi-layer networks. We consider problem identifying community structures for extensions spectral clustering methods sparse and give theoretical guarantee that produce consistent detection in case both stochastic block model degree-corrected models. The...
Objective Surveillance is critical for the rapid implementation of control measures diseases caused by aerially dispersed plant pathogens, but such programs can be resource-intensive, especially epidemics long-distance pathogens. The current cucurbit downy mildew platform monitoring, predicting and communicating risk disease spread in United States expensive to maintain. In this study, we focused on identifying sites surveillance treatment an attempt reduce monitoring costs determine where...
Methods for causal inference from observational data are common in human disease epidemiology and social sciences but used relatively little plant pathology. We draw upon an extensive set of the incidence hop plants with powdery mildew (caused by Podosphaera macularis) collected yards Oregon 2014 to 2017 associated metadata on grower cultural practices, cultivar susceptibility mildew, pesticide application records understand variation causes growers’ fungicide use costs. An instrumental...
Multilayer and multiplex networks are becoming common network data sets in recent times. We consider the problem of identifying community structure for a special type multilayer called multi-relational networks. extensions spectral clustering methods give theoretical guarantees that recover consistently generated from versions both stochastic degree-corrected block models even with dependence between layers. The shown to work under optimal conditions on degree parameter detect assortative...
Aldous [(2007) Preprint] defined a gossip process in which space is discrete N × torus, and the state of at time t set individuals who know information. Information spreads from site to its nearest neighbors rate 1/4 each N−α chosen random torus. We will be interested case α < 3, where long range transmission significantly accelerates everyone knows prove three results that precisely describe spread information slightly simplified model on real The until asymptotically T = (2 − 2 α/3)Nα/3log...
Among the nonparametric methods of estimating number communities (K) in a community detection problem, based on spectrum Bethe Hessian matrices (Hζ with scalar parameter ζ) have garnered much popularity for their simplicity, computational efficiency, and robustness to sparsity data. For certain heuristic choices ζ, such been shown be consistent networks N nodes common expected degree ω( log N). In this article, we obtain several finite sample results show that if input network is generated...
Abstract Despite great progress in the study of critical percolation on ℤ d for large, properties clusters high‐dimensional fractional spaces and boxes remain poorly understood, unlike situation two dimensions. Closely related models such as branching random walk give natural conjectures value relevant exponents; see particular conjecture by Kozma‐Nachmias that probability 0 ( n , …) are connected within [− ] scales −2 − 2 . In this paper, we half‐spaces boxes. half‐spaces, show an open...
Abstract We consider a model for gene regulatory networks that is modification of Kauffmann's J Theor Biol 22 (1969), 437–467 random Boolean networks. There are three parameters: $n = {\rm the}$ number nodes, $r inputs to each node, and $p expected fraction 1'sin the functions at node. Following standard practice in thephysics literature, we use threshold contact process on graph n which node has degree r , approximate its dynamics. show if $r\ge 3$ \cdot 2p(1-p)>1$ then persists long...
Summary Bacterial swarming, a collective movement on surface, has rarely been associated with human pathophysiology. Here, we report for the first time that bacterial swarmers are protection against intestinal inflammation. We show highly predictive of stress in mice and humans. isolated novel Enterobacter swarming strain, SM3, from mouse feces. SM3 other known commensal contrast to their respective swarming-deficient, but swimming-competent isogenic strains abrogated inflammation mice....
We consider the offline change point detection and localization problem in context of piecewise stationary networks, where observable is a finite sequence networks. develop algorithms involving some suitably modified CUSUM statistics based on adaptively trimmed adjacency matrices observed networks for both single or multiple points present input data. provide rigorous theoretical analysis sample estimates evaluating performance proposed methods when (finite networks) generated from an...