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Recursive partitioning approaches producing tree-like models are a long standing staple of predictive modeling, in the last decade mostly as ``sub-learners'' within state of the art ensemble methods like Boosting and Random Forest. However,…

Machine Learning · Statistics 2015-12-14 Amichai Painsky , Saharon Rosset

May and Leonard (SIAM J. Appl. Math 1975) introduced a three-species Lotka-Volterra type population model that exhibits heteroclinic cycling. Rather than producing a periodic limit cycle, the trajectory takes longer and longer to complete…

Populations and Evolution · Quantitative Biology 2021-11-12 Nicholas W. Barendregt , Peter J. Thomas

In a recent paper of Yuan and Zhu (J. Differential Equations 321(2022) 99-129), the nature of dynamics of a generalist predator and prey with stage structure is modeled as a three-dimensional coupled nonlinear differential system. A…

Dynamical Systems · Mathematics 2024-08-01 Martha Alvarez Ramírez , Marco Polo García Rivera , Ahida Ortiz Santos

This paper introduces an innovative Bayesian machine learning algorithm to draw interpretable inference on heterogeneous causal effects in the presence of imperfect compliance (e.g., under an irregular assignment mechanism). We show,…

Methodology · Statistics 2021-12-02 Falco J. Bargagli-Stoffi , Kristof De-Witte , Giorgio Gnecco

We generalize the derivation of Leggett-Garg inequalities to systematically treat a larger class of experimental situations by allowing multi-particle correlations, invasive detection, and ambiguous detector results. Furthermore, we show…

Quantum Physics · Physics 2015-03-18 J. Dressel , C. J. Broadbent , J. C. Howell , A. N. Jordan

We advocates here the use of (mathematical) logic for systems biology, as a unified framework well suited for both modeling the dynamic behaviour of biological systems, expressing properties of them, and verifying these properties. The…

Logic in Computer Science · Computer Science 2017-01-19 Joëlle Despeyroux

We develop a connection between mixture and envelope representations of objective functions that arise frequently in statistics. We refer to this connection using the term "hierarchical duality." Our results suggest an interesting and…

Methodology · Statistics 2015-02-24 Nicholas G. Polson , James G. Scott

We prove several results about integral versions of Fourier duality for abelian schemes, making use of Pappas's work on integral Grothendieck-Riemann-Roch. If $S$ is smooth quasi-projective of dimension $d$ over a field and $\pi \colon X\to…

Algebraic Geometry · Mathematics 2024-07-09 Junaid Hasan , Hazem Hassan , Milton Lin , Marcella Manivel , Lily McBeath , Ben Moonen

Explaining biodiversity is a fundamental issue in ecology. A long-standing puzzle lies in the paradox of the plankton: many species of plankton feeding on a limited variety of resources coexist, apparently flouting the competitive exclusion…

Populations and Evolution · Quantitative Biology 2025-06-18 Ju Kang , Shijie Zhang , Yiyuan Niu , Fan Zhong , Xin Wang

In their recent comment, Cockell et al. argue that the habitability of an environment is fundamentally a binary property; that is to say, an environment can either support the metabolic processes of a given organism or not. The habitability…

Popular Physics · Physics 2020-04-15 René Heller

We consider finite range Gibbs fields and provide a purely combinatorial proof of the exponential tree decay of semi--invariants, supposing that the logarithm of the partition function can be expressed as a sum of suitable local functions…

Statistical Mechanics · Physics 2015-05-30 L. Bertini , Emilio N. M. Cirillo , E. Olivieri

In this paper, we show that the stability analysis in the paper A note on stability of fractional logistic maps, Appl. Math. Lett. 125 (2022) 107787 is incorrect and repeat a proof of a theorem on the convergence of a convolution of the…

Chaotic Dynamics · Physics 2021-12-22 Mark Edelman

Multivariate analyses are emerging as important tools to understand properties of hadronic jets which play a key role in the LHC experimental program. We take a first step towards precise and differential theory predictions by calculating…

High Energy Physics - Phenomenology · Physics 2019-08-27 Massimiliano Procura , Wouter J. Waalewijn , Lisa Zeune

Matchings and coverings are central topics in graph theory. The close relationship between these two has been key to many fundamental algorithmic and polyhedral results. For mixed graphs, the notion of matching forest was proposed as a…

Combinatorics · Mathematics 2019-10-18 Tamás Király , Yu Yokoi

The Horton-Strahler (HS) index $r=\max{(i,j)}+\delta_{i,j}$ has been shown to be relevant to a number of physical (such at diffusion limited aggregation) geological (river networks), biological (pulmonary arteries, blood vessels, various…

Statistical Mechanics · Physics 2009-11-07 Z. Toroczkai

Batch Bayesian optimisation and Bayesian quadrature have been shown to be sample-efficient methods of performing optimisation and quadrature where expensive-to-evaluate objective functions can be queried in parallel. However, current…

Machine Learning · Computer Science 2023-07-06 Masaki Adachi , Satoshi Hayakawa , Saad Hamid , Martin Jørgensen , Harald Oberhauser , Micheal A. Osborne

In this work we consider a new family of algorithms for sequential prediction, Hierarchical Partitioning Forecasters (HPFs). Our goal is to provide appealing theoretical - regret guarantees on a powerful model class - and practical -…

Machine Learning · Computer Science 2023-05-23 Christopher Mattern

We confront the indications of lepton flavor universality (LFU) violation observed in semi-tauonic $B$ meson decays with new physics (NP) searches using high $p_T$ tau leptons at the LHC. Using effective field theory arguments we correlate…

High Energy Physics - Phenomenology · Physics 2016-11-15 Darius A. Faroughy , Admir Greljo , Jernej F. Kamenik

The statistical estimation of phylogenies is always associated with uncertainty, and accommodating this uncertainty is an important component of modern phylogenetic comparative analysis. The birth-death polytomy resolver is a method of…

Quantitative Methods · Quantitative Biology 2015-03-18 Daniel L. Rabosky