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Latent variables may lead to spurious relationships that can be misinterpreted as causal relationships. In Bayesian Networks (BNs), this challenge is known as learning under causal insufficiency. Structure learning algorithms that assume…

Machine Learning · Computer Science 2020-08-19 Kiattikun Chobtham , Anthony C. Constantinou

We study complexity measures on subsets of the boolean hypercube and exhibit connections between algebra (the Hilbert function) and combinatorics (VC theory). These connections yield results in both directions. Our main complexity-theoretic…

Combinatorics · Mathematics 2020-05-25 Shay Moran , Cyrus Rashtchian

Evidence is presented for the necessity of including duality violations in a consistent description of spectral function moments employed in the precision determination of $\alpha_s$ from $\tau$ decay. A physically motivated ansatz for…

High Energy Physics - Phenomenology · Physics 2011-09-20 D. R. Boito , O. Cata , M. Golterman , M. Jamin , K. Maltman , J. Osborne , S. Peris

We summarize a comparison of the two strategies which are currently available in the literature for determining the value of $\alpha_s(m_\tau)$. We will refer to these as the truncated Operator Product Expansion model and the Duality…

High Energy Physics - Phenomenology · Physics 2016-12-07 Diogo Boito , Maarten Golterman , Kim Maltman , Santiago Peris

As there seems to be a large mass gap between the SM and new physics particles, the EFT framework emerges as the natural approach for the analysis and interpretation of collider data. However, this large gap and the fact that (so far) all…

High Energy Physics - Phenomenology · Physics 2017-10-23 J. J. Sanz-Cillero

Bilevel optimization has arisen as a powerful tool for solving a variety of machine learning problems. Two current popular bilevel optimizers AID-BiO and ITD-BiO naturally involve solving one or two sub-problems, and consequently, whether…

Machine Learning · Computer Science 2022-06-02 Kaiyi Ji , Mingrui Liu , Yingbin Liang , Lei Ying

Current continuous generative models (e.g., Diffusion Models, Flow Matching) implicitly assume that locally consistent causal mechanisms naturally yield globally coherent counterfactuals. In this paper, we prove that this assumption fails…

Machine Learning · Computer Science 2026-03-19 Rui Wu , Hong Xie , Yongjun Li

In ecology, species can mitigate their extinction risks in uncertain environments by diversifying individual phenotypes. This observation is quantified by the theory of bet-hedging, which provides a reason for the degree of phenotypic…

Populations and Evolution · Quantitative Biology 2019-06-19 Paula Villa Martín , Miguel A. Muñoz , Simone Pigolotti

We address phylogenetic reconstruction when the data is generated from a mixture distribution. Such topics have gained considerable attention in the biological community with the clear evidence of heterogeneity of mutation rates. In our…

Populations and Evolution · Quantitative Biology 2007-05-23 Daniel Stefankovic , Eric Vigoda

The ratio of Bayesian evidences is a popular tool in cosmology to compare different models. There are however several issues with this method: Bayes' ratio depends on the prior even in the limit of non-informative priors, and Jeffrey's…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-16 Luca Amendola , Vrund Patel , Ziad Sakr , Elena Sellentin , Kevin Wolz

Approaches based on viscous hydrodynamics for the hot and dense stage and hadronic transport for the final dilute rescattering stage are successfully applied to the dynamic description of heavy ion reactions at high beam energies. One…

High Energy Physics - Phenomenology · Physics 2017-12-06 C. Schwarz , D. Oliinychenko , L. -G. Pang , S. Ryu , H. Petersen

We conduct a thorough Bayesian analysis of the possibility that the black hole merger events seen in gravitational waves are primordial black hole (PBH) mergers. Using the latest merger rate models for PBH binaries drawn from a lognormal…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-04 Alex Hall , Andrew D. Gow , Christian T. Byrnes

Lotka-Volterra (LV) equations play a key role in the mathematical modeling of various ecological, biological and chemical systems. When the number of species (or, depending on the viewpoint, chemical components) becomes large, basic but…

Probability · Mathematics 2022-05-03 Maxime Clenet , François Massol , Jamal Najim

1. Theoretical models pertaining to feedbacks between ecological and evolutionary processes are prevalent in multiple biological fields. An integrative overview is currently lacking, due to little crosstalk between the fields and the use of…

Traditionally, the evolution of cooperation has been studied on single, isolated networks. Yet a player, especially in human societies, will typically be a member of many different networks, and those networks will play a different role in…

Physics and Society · Physics 2014-06-09 Zhen Wang , Lin Wang , Matjaz Perc

Larson and Saleh [Optica 5, 1382 (2018)] suggest that Rayeleigh's curse can recur and become unavoidable if the two sources are partially coherent. Here we show that their calculations and assertions have fundamental problems, and…

Quantum Physics · Physics 2019-03-22 Mankei Tsang , Ranjith Nair

We consider Bayesian estimation of a hierarchical linear model (HLM) from partially observed data, assumed to be missing at random, and small sample sizes. A vector of continuous covariates $C$ includes cluster-level partially observed…

Methodology · Statistics 2025-02-03 Dongho Shin , Yongyun Shin , Nao Hagiwara

We consider phylogeny estimation under a two-state model of sequence evolution by site substitution on a tree. In the asymptotic regime where the sequence lengths tend to infinity, we show that for any fixed $k$ no statistically consistent…

Probability · Mathematics 2022-03-03 Wai-Tong Louis Fan , Brandon Legried , Sebastien Roch

This paper presents an evaluation of several approaches of plants species distribution modeling based on spatial, environmental and co-occurrences data using machine learning methods. In particular, we re-evaluate the environmental…

Neural and Evolutionary Computing · Computer Science 2019-09-20 Benjamin Deneu , Maximilien Servajean , Christophe Botella , Alexis Joly

The paper CERN-PH-EP-2009-015 (arXiv:0903.4762) by A. Bagulya et al. violates standards of quality of work and scientific ethics on several counts. The paper contains assertions that contradict established detector physics. The paper falls…

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