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Can scientific discovery be made arbitrarily easy by choosing the right representation, collecting enough data, and deploying sufficiently powerful algorithms? This paper argues that the answer is fundamentally negative. We introduce the…

Artificial Intelligence · Computer Science 2026-04-23 Angshul Majumdar

Numerous traits under migration-selection balance are shown to exhibit complex patterns of genetic architecture with large variance in effect sizes. However, the conditions under which such genetic architectures are stable have yet to be…

Populations and Evolution · Quantitative Biology 2022-11-01 Léonard Dekens , Sarah P. Otto , Vincent Calvez

Classical approaches to analyzing dynamical systems, including bifurcation analysis, can provide invaluable insights into underlying structure of a mathematical model, and the spectrum of all possible dynamical behaviors. However, these…

Populations and Evolution · Quantitative Biology 2018-02-16 Irina Kareva

An important experimental effort has been accomplished in recent years in the measurement of rates, polarization and CP observables in $B$ decays into two light vector mesons. On the theoretical side, after a very consistent effort done…

High Energy Physics - Phenomenology · Physics 2024-03-29 Roy Aleksan , Luis Oliver

The statistics community, which has traditionally lacked a transparent and open peer-review system, faces a challenge of inconsistent paper quality, with some published work containing substantial errors. This problem resonates with…

Methodology · Statistics 2025-12-10 Zhen Li

The Letter from Rosenfeld (2014, Biological Conservation) in response to Jamieson and Allendorf (2012, Trends in Ecology and Evolution) and Frankham et al. (2014, Biological Conservation) and related papers is misleading in places and…

Populations and Evolution · Quantitative Biology 2014-07-02 Richard Frankham , Corey J. A. Bradshaw , Barry W. Brook

In [Decompositions and statistics for \beta(1,0)-trees and nonseparable permutations, Advances Appl. Math. 42 (2009) 313--328] we introduced an involution, h, on \beta(1,0)-trees. We neglected, however, to prove that h indeed is an…

Combinatorics · Mathematics 2012-10-08 Anders Claesson , Sergey Kitaev , Einar Steingrímsson

The study of ecological systems is gaining momentum in modern scientific research, driven by an abundance of empirical data and advancements in bioengineering techniques. However, a full understanding of their dynamical and thermodynamical…

Populations and Evolution · Quantitative Biology 2025-03-05 Ada Altieri

We demonstrate that a conjecture of Teh which relates the niveau filtration on Borel-Moore homology of real varieties and the images of generalized cycle maps from reduced Lawson homology is false. We show that the niveau filtration on…

Algebraic Geometry · Mathematics 2011-10-11 Jeremiah Heller , Mircea Voineagu

This review is an introduction to theoretical models and mathematical calculations for biological evolution, aimed at physicists. The methods in the field are naturally very similar to those used in statistical physics, although the…

Statistical Mechanics · Physics 2015-06-24 Barbara Drossel

The theoretical description and data for inclusive semileptonic $B$ decays have reached incredible precision. This motivated us to re-animate the discussion of possible Quark-Hadron Duality violations. There seems that there is currently no…

High Energy Physics - Phenomenology · Physics 2025-02-04 Thomas Mannel , Ilija S. Milutin , Rens Verkade , K. Keri Vos

Motivated by the Beauville decomposition of an abelian scheme and the "Perverse = Chern" phenomenon for a compactified Jacobian fibration, we study in this paper splittings of the perverse filtration for compactified Jacobian fibrations. On…

Algebraic Geometry · Mathematics 2026-01-21 Younghan Bae , Davesh Maulik , Junliang Shen , Qizheng Yin

We employ Mittag-Leffler type kernels to solve a system of fractional differential equations using fractal-fractional (FF) operators with two fractal and fractional orders. Using the notion of FF-derivatives with nonsingular and nonlocal…

Dynamical Systems · Mathematics 2024-06-21 Tanzeela Kanwal , Azhar Hussain , İbrahim Avcı , Sina Etemad , Shahram Rezapour , Delfim F. M. Torres

In Templeton (2010), the Approximate Bayesian Computation (ABC) algorithm (see, e.g., Pritchard et al., 1999, Beaumont et al., 2002, Marjoram et al., 2003, Ratmann et al., 2009) is criticised on mathematical and logical grounds: "the…

Methodology · Statistics 2010-06-22 Christian P. Robert

Context: Evolutionary algorithms typically require a large number of evaluations (of solutions) to converge - which can be very slow and expensive to evaluate.Objective: To solve search-based software engineering (SE) problems, using fewer…

Software Engineering · Computer Science 2017-09-19 Jianfeng Chen , Vivek Nair , Tim Menzies

Bilevel optimization poses a significant computational challenge due to its nested structure, where each upper-level candidate solution requires solving a corresponding lower-level problem. While evolutionary algorithms (EAs) are effective…

Neural and Evolutionary Computing · Computer Science 2025-06-10 Dejun Xu , Jijia Chen , Gary G. Yen , Min Jiang

Existing studies have shown that the conventional multi-objective evolutionary algorithms (MOEAs) based on decomposition may lose the population diversity when solving some many-objective optimization problems. In this paper, a simple…

Neural and Evolutionary Computing · Computer Science 2018-06-29 Yingyu Zhang , Bing Zeng

Background: Mendelian randomization (MR) is a useful approach to causal inference from observational studies when randomised controlled trials are not feasible. However, study heterogeneity of two association studies required in MR is often…

Methodology · Statistics 2021-12-16 Linyi Zou , Hui Guo , Carlo Berzuini

Over the last decade several attempts have been made to extend biodiversity studies in ways that would allow researchers to explore how biodiversity-ecosystem functioning relationships may change across different spatial and temporal…

Populations and Evolution · Quantitative Biology 2025-12-30 Pradeep Pillai

We apply the new formulation of heavy quark effective field theory (HQEFT) to the inclusive decays of bottom hadrons. The long-term ambiguity of using heavy quark mass or heavy hadron mass for inclusive decays is clarified within the…

High Energy Physics - Phenomenology · Physics 2016-12-28 Y. A. Yan , Y. L. Wu , W. Y. Wang