@article{9383,
  abstract     = {A primary roadblock to our understanding of speciation is that it usually occurs over a timeframe that is too long to study from start to finish. The idea of a speciation continuum provides something of a solution to this problem; rather than observing the entire process, we can simply reconstruct it from the multitude of speciation events that surround us. But what do we really mean when we talk about the speciation continuum, and can it really help us understand speciation? We explored these questions using a literature review and online survey of speciation researchers. Although most researchers were familiar with the concept and thought it was useful, our survey revealed extensive disagreement about what the speciation continuum actually tells us. This is due partly to the lack of a clear definition. Here, we provide an explicit definition that is compatible with the Biological Species Concept. That is, the speciation continuum is a continuum of reproductive isolation. After outlining the logic of the definition in light of alternatives, we explain why attempts to reconstruct the speciation process from present‐day populations will ultimately fail. We then outline how we think the speciation continuum concept can continue to act as a foundation for understanding the continuum of reproductive isolation that surrounds us.},
  author       = {Stankowski, Sean and Ravinet, Mark},
  issn         = {1558-5646},
  journal      = {Evolution},
  number       = {6},
  pages        = {1256--1273},
  publisher    = {Oxford University Press},
  title        = {{Defining the speciation continuum}},
  doi          = {10.1111/evo.14215},
  volume       = {75},
  year         = {2021},
}

@article{9387,
  abstract     = {We report the complete analysis of a deterministic model of deleterious mutations and negative selection against them at two haploid loci without recombination. As long as mutation is a weaker force than selection, mutant alleles remain rare at the only stable equilibrium, and otherwise, a variety of dynamics are possible. If the mutation-free genotype is absent, generally the only stable equilibrium is the one that corresponds to fixation of the mutant allele at the locus where it is less deleterious. This result suggests that fixation of a deleterious allele that follows a click of the Muller’s ratchet is governed by natural selection, instead of random drift.},
  author       = {Khudiakova, Kseniia and Neretina, Tatiana Yu. and Kondrashov, Alexey S.},
  issn         = {0022-5193},
  journal      = {Journal of Theoretical Biology},
  keywords     = {General Biochemistry, Genetics and Molecular Biology, Modelling and Simulation, Statistics and Probability, General Immunology and Microbiology, Applied Mathematics, General Agricultural and Biological Sciences, General Medicine},
  publisher    = {Elsevier },
  title        = {{Two linked loci under mutation-selection balance and Muller’s ratchet}},
  doi          = {10.1016/j.jtbi.2021.110729},
  volume       = {524},
  year         = {2021},
}

@misc{9389,
  abstract     = {This .zip File contains the transport data for  "Non-topological zero bias peaks in full-shell nanowires induced by flux tunable Andreev states" by M. Valentini, et. al.  
The measurements were done using Labber Software and the data is stored in the hdf5 file format.
Instructions of how to read the data are in "Notebook_Valentini.pdf".},
  author       = {Valentini, Marco},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Research data for "Non-topological zero bias peaks in full-shell nanowires induced by flux tunable Andreev states"}},
  doi          = {10.15479/AT:ISTA:9389},
  year         = {2021},
}

@article{9392,
  abstract     = {Humans conceptualize the diversity of life by classifying individuals into types we call ‘species’1. The species we recognize influence political and financial decisions and guide our understanding of how units of diversity evolve and interact. Although the idea of species may seem intuitive, a debate about the best way to define them has raged even before Darwin2. So much energy has been devoted to the so-called ‘species problem’ that no amount of discourse will ever likely solve it2,3. Dozens of species concepts are currently recognized3, but we lack a concrete understanding of how much researchers actually disagree and the factors that cause them to think differently1,2. To address this, we used a survey to quantify the species problem for the first time. The results indicate that the disagreement is extensive: two randomly chosen respondents will most likely disagree on the nature of species. The probability of disagreement is not predicted by researcher experience or broad study system, but tended to be lower among researchers with similar focus, training and who study the same organism. Should we see this diversity of perspectives as a problem? We argue that we should not.},
  author       = {Stankowski, Sean and Ravinet, Mark},
  issn         = {18790445},
  journal      = {Current Biology},
  number       = {9},
  pages        = {R428--R429},
  publisher    = {Cell Press},
  title        = {{Quantifying the use of species concepts}},
  doi          = {10.1016/j.cub.2021.03.060},
  volume       = {31},
  year         = {2021},
}

@article{9393,
  abstract     = {We consider the core algorithmic problems related to verification of systems with respect to three classical quantitative properties, namely, the mean-payoff, the ratio, and the minimum initial credit for energy property. The algorithmic problem given a graph and a quantitative property asks to compute the optimal value (the infimum value over all traces) from every node of the graph. We consider graphs with bounded treewidth—a class that contains the control flow graphs of most programs. Let n denote the number of nodes of a graph, m the number of edges (for bounded treewidth 𝑚=𝑂(𝑛)) and W the largest absolute value of the weights. Our main theoretical results are as follows. First, for the minimum initial credit problem we show that (1) for general graphs the problem can be solved in 𝑂(𝑛2⋅𝑚) time and the associated decision problem in 𝑂(𝑛⋅𝑚) time, improving the previous known 𝑂(𝑛3⋅𝑚⋅log(𝑛⋅𝑊)) and 𝑂(𝑛2⋅𝑚) bounds, respectively; and (2) for bounded treewidth graphs we present an algorithm that requires 𝑂(𝑛⋅log𝑛) time. Second, for bounded treewidth graphs we present an algorithm that approximates the mean-payoff value within a factor of 1+𝜖 in time 𝑂(𝑛⋅log(𝑛/𝜖)) as compared to the classical exact algorithms on general graphs that require quadratic time. Third, for the ratio property we present an algorithm that for bounded treewidth graphs works in time 𝑂(𝑛⋅log(|𝑎⋅𝑏|))=𝑂(𝑛⋅log(𝑛⋅𝑊)), when the output is 𝑎𝑏, as compared to the previously best known algorithm on general graphs with running time 𝑂(𝑛2⋅log(𝑛⋅𝑊)). We have implemented some of our algorithms and show that they present a significant speedup on standard benchmarks.},
  author       = {Chatterjee, Krishnendu and Ibsen-Jensen, Rasmus and Pavlogiannis, Andreas},
  issn         = {1572-8102},
  journal      = {Formal Methods in System Design},
  pages        = {401--428},
  publisher    = {Springer},
  title        = {{Faster algorithms for quantitative verification in bounded treewidth graphs}},
  doi          = {10.1007/s10703-021-00373-5},
  volume       = {57},
  year         = {2021},
}

@article{9394,
  abstract     = {Chromosomal inversions have long been recognized for their role in local adaptation. By suppressing recombination in heterozygous individuals, they can maintain coadapted gene complexes and protect them from homogenizing effects of gene flow. However, to fully understand their importance for local adaptation we need to know their influence on phenotypes under divergent selection. For this, the marine snail Littorina saxatilis provides an ideal study system. Divergent ecotypes adapted to wave action and crab predation occur in close proximity on intertidal shores with gene flow between them. Here, we used F2 individuals obtained from crosses between the ecotypes to test for associations between genomic regions and traits distinguishing the Crab‐/Wave‐adapted ecotypes including size, shape, shell thickness, and behavior. We show that most of these traits are influenced by two previously detected inversion regions that are divergent between ecotypes. We thus gain a better understanding of one important underlying mechanism responsible for the rapid and repeated formation of ecotypes: divergent selection acting on inversions. We also found that some inversions contributed to more than one trait suggesting that they may contain several loci involved in adaptation, consistent with the hypothesis that suppression of recombination within inversions facilitates differentiation in the presence of gene flow.},
  author       = {Koch, Eva L. and Morales, Hernán E. and Larsson, Jenny and Westram, Anja M and Faria, Rui and Lemmon, Alan R. and Lemmon, E. Moriarty and Johannesson, Kerstin and Butlin, Roger K.},
  issn         = {2056-3744},
  journal      = {Evolution Letters},
  number       = {3},
  pages        = {196--213},
  publisher    = {Wiley},
  title        = {{Genetic variation for adaptive traits is associated with polymorphic inversions in Littorina saxatilis}},
  doi          = {10.1002/evl3.227},
  volume       = {5},
  year         = {2021},
}

@phdthesis{9397,
  abstract     = {Accumulation of interstitial fluid (IF) between embryonic cells is a common phenomenon in vertebrate embryogenesis. Unlike other model systems, where these accumulations coalesce into a large central cavity – the blastocoel, in zebrafish, IF is more uniformly distributed between the deep cells (DC) before the onset of gastrulation. This is likely due to the presence of a large extraembryonic structure – the yolk cell (YC) at the position where the blastocoel typically forms in other model organisms. IF has long been speculated to play a role in tissue morphogenesis during embryogenesis, but direct evidence supporting such function is still sparse. Here we show that the relocalization of IF to the interface between the YC and DC/epiblast is critical for axial mesendoderm (ME) cell protrusion formation and migration along this interface, a key process in embryonic axis formation. We further demonstrate that axial ME cell migration and IF relocalization engage in a positive feedback loop, where axial ME migration triggers IF accumulation ahead of the advancing axial ME tissue by mechanically compressing the overlying epiblast cell layer. Upon compression, locally induced flow relocalizes the IF through the porous epiblast tissue resulting in an IF accumulation ahead of the leading axial ME. This IF accumulation, in turn, promotes cell protrusion formation and migration of the leading axial ME cells, thereby facilitating axial ME extension. Our findings reveal a central role of dynamic IF relocalization in orchestrating germ layer morphogenesis during gastrulation.},
  author       = {Huljev, Karla},
  issn         = {2663-337X},
  pages        = {101},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Coordinated spatiotemporal reorganization of interstitial fluid is required for axial mesendoderm migration in zebrafish gastrulation}},
  doi          = {10.15479/at:ista:9397},
  year         = {2021},
}

@article{9402,
  abstract     = {Direct and indirect reciprocity are key mechanisms for the evolution of cooperation. Direct reciprocity means that individuals use their own experience to decide whether to cooperate with another person. Indirect reciprocity means that they also consider the experiences of others. Although these two mechanisms are intertwined, they are typically studied in isolation. Here, we introduce a mathematical framework that allows us to explore both kinds of reciprocity simultaneously. We show that the well-known ‘generous tit-for-tat’ strategy of direct reciprocity has a natural analogue in indirect reciprocity, which we call ‘generous scoring’. Using an equilibrium analysis, we characterize under which conditions either of the two strategies can maintain cooperation. With simulations, we additionally explore which kind of reciprocity evolves when members of a population engage in social learning to adapt to their environment. Our results draw unexpected connections between direct and indirect reciprocity while highlighting important differences regarding their evolvability.},
  author       = {Schmid, Laura and Chatterjee, Krishnendu and Hilbe, Christian and Nowak, Martin A.},
  issn         = {2397-3374},
  journal      = {Nature Human Behaviour},
  number       = {10},
  pages        = {1292–1302},
  publisher    = {Springer Nature},
  title        = {{A unified framework of direct and indirect reciprocity}},
  doi          = {10.1038/s41562-021-01114-8},
  volume       = {5},
  year         = {2021},
}

@inbook{9403,
  abstract     = {Optimal decision making requires individuals to know their available options and to anticipate correctly what consequences these options have. In many social interactions, however, we refrain from gathering all relevant information, even if this information would help us make better decisions and is costless to obtain. This chapter examines several examples of “deliberate ignorance.” Two simple models are proposed to illustrate how ignorance can evolve among self-interested and payoff - maximizing individuals, and open problems are highlighted that lie ahead for future research to explore.},
  author       = {Schmid, Laura and Hilbe, Christian},
  booktitle    = {Deliberate Ignorance: Choosing Not To Know},
  editor       = {Hertwig, Ralph and Engel, Christoph},
  isbn         = {978-0-262-04559-9},
  pages        = {139--152},
  publisher    = {MIT Press},
  title        = {{The evolution of strategic ignorance in strategic interaction}},
  volume       = {29},
  year         = {2021},
}

@article{9407,
  abstract     = {High impact epidemics constitute one of the largest threats humanity is facing in the 21st century. In the absence of pharmaceutical interventions, physical distancing together with testing, contact tracing and quarantining are crucial in slowing down epidemic dynamics. Yet, here we show that if testing capacities are limited, containment may fail dramatically because such combined countermeasures drastically change the rules of the epidemic transition: Instead of continuous, the response to countermeasures becomes discontinuous. Rather than following the conventional exponential growth, the outbreak that is initially strongly suppressed eventually accelerates and scales faster than exponential during an explosive growth period. As a consequence, containment measures either suffice to stop the outbreak at low total case numbers or fail catastrophically if marginally too weak, thus implying large uncertainties in reliably estimating overall epidemic dynamics, both during initial phases and during second wave scenarios.},
  author       = {Scarselli, Davide and Budanur, Nazmi B and Timme, Marc and Hof, Björn},
  issn         = {20411723},
  journal      = {Nature Communications},
  number       = {1},
  publisher    = {Springer Nature},
  title        = {{Discontinuous epidemic transition due to limited testing}},
  doi          = {10.1038/s41467-021-22725-9},
  volume       = {12},
  year         = {2021},
}

@article{6965,
  abstract     = {The central object of investigation of this paper is the Hirzebruch class, a deformation of the Todd class, given by Hirzebruch (for smooth varieties). The generalization for singular varieties is due to Brasselet–Schürmann–Yokura. Following the work of Weber, we investigate its equivariant version for (possibly singular) toric varieties. The local decomposition of the Hirzebruch class to the fixed points of the torus action and a formula for the local class in terms of the defining fan are recalled. After this review part, we prove the positivity of local Hirzebruch classes for all toric varieties, thus proving false the alleged counterexample given by Weber.},
  author       = {Rychlewicz, Kamil P},
  issn         = {1469-2120},
  journal      = {Bulletin of the London Mathematical Society},
  number       = {2},
  pages        = {560--574},
  publisher    = {Wiley},
  title        = {{The positivity of local equivariant Hirzebruch class for toric varieties}},
  doi          = {10.1112/blms.12442},
  volume       = {53},
  year         = {2021},
}

@misc{6995,
  abstract     = {Human brain organoids represent a powerful tool for the study of human neurological diseases particularly those that impact brain growth and structure. However, many neurological diseases lack obvious anatomical abnormalities, yet significantly impact neural network functions, raising the question of whether organoids possess sufficient neural network architecture and complexity to model these conditions. Here, we explore the network level functions of brain organoids using calcium sensor imaging and extracellular recording approaches that together reveal the existence of complex oscillatory network behaviors reminiscent of intact brain preparations. We further demonstrate strikingly abnormal epileptiform network activity in organoids derived from a Rett Syndrome patient despite only modest anatomical differences from isogenically matched controls, and rescue with an unconventional neuromodulatory drug Pifithrin-α. Together, these findings provide an essential foundation for the utilization of human brain organoids to study intact and disordered human brain network formation and illustrate their utility in therapeutic discovery.},
  author       = {Samarasinghe, Ranmal A. and Miranda, Osvaldo and Buth, Jessie E. and Mitchell, Simon and Ferando, Isabella and Watanabe, Momoko and Kurdian, Arinnae and Golshani, Peyman and Plath, Kathrin and Lowry, William E. and Parent, Jack M. and Mody, Istvan and Novitch, Bennett G.},
  issn         = {1546-1726},
  pages        = {32},
  publisher    = {Springer Nature},
  title        = {{Identification of neural oscillations and epileptiform changes in human brain organoids}},
  doi          = {10.1038/s41593-021-00906-5},
  volume       = {24},
  year         = {2021},
}

@article{7463,
  abstract     = {Resting-state brain activity is characterized by the presence of neuronal avalanches showing absence of characteristic size. Such evidence has been interpreted in the context of criticality and associated with the normal functioning of the brain. A distinctive attribute of systems at criticality is the presence of long-range correlations. Thus, to verify the hypothesis that the brain operates close to a critical point and consequently assess deviations from criticality for diagnostic purposes, it is of primary importance to robustly and reliably characterize correlations in resting-state brain activity. Recent works focused on the analysis of narrow-band electroencephalography (EEG) and magnetoencephalography (MEG) signal amplitude envelope, showing evidence of long-range temporal correlations (LRTC) in neural oscillations. However, brain activity is a broadband phenomenon, and a significant piece of information useful to precisely discriminate between normal (critical) and pathological behavior (non-critical), may be encoded in the broadband spatio-temporal cortical dynamics. Here we propose to characterize the temporal correlations in the broadband brain activity through the lens of neuronal avalanches. To this end, we consider resting-state EEG and long-term MEG recordings, extract the corresponding neuronal avalanche sequences, and study their temporal correlations. We demonstrate that the broadband resting-state brain activity consistently exhibits long-range power-law correlations in both EEG and MEG recordings, with similar values of the scaling exponents. Importantly, although we observe that the avalanche size distribution depends on scale parameters, scaling exponents characterizing long-range correlations are quite robust. In particular, they are independent of the temporal binning (scale of analysis), indicating that our analysis captures intrinsic characteristics of the underlying dynamics. Because neuronal avalanches constitute a fundamental feature of neural systems with universal characteristics, the proposed approach may serve as a general, systems- and experiment-independent procedure to infer the existence of underlying long-range correlations in extended neural systems, and identify pathological behaviors in the complex spatio-temporal interplay of cortical rhythms.},
  author       = {Lombardi, Fabrizio and Shriki, Oren and Herrmann, Hans J and de Arcangelis, Lucilla},
  issn         = {1872-8286},
  journal      = {Neurocomputing},
  pages        = {657--666},
  publisher    = {Elsevier},
  title        = {{Long-range temporal correlations in the broadband resting state activity of the human brain revealed by neuronal avalanches}},
  doi          = {10.1016/j.neucom.2020.05.126},
  volume       = {461},
  year         = {2021},
}

@article{7551,
  abstract     = {Novelty facilitates formation of memories. The detection of novelty and storage of contextual memories are both mediated by the hippocampus, yet the mechanisms that link these two functions remain to be defined. Dentate granule cells (GCs) of the dorsal hippocampus fire upon novelty exposure forming engrams of contextual memory. However, their key excitatory inputs from the entorhinal cortex are not responsive to novelty and are insufficient to make dorsal GCs fire reliably. Here we uncover a powerful glutamatergic pathway to dorsal GCs from ventral hippocampal mossy cells (MCs) that relays novelty, and is necessary and sufficient for driving dorsal GCs activation. Furthermore, manipulation of ventral MCs activity bidirectionally regulates novelty-induced contextual memory acquisition. Our results show that ventral MCs activity controls memory formation through an intra-hippocampal interaction mechanism gated by novelty.},
  author       = {Fredes Tolorza, Felipe A and Silva Sifuentes, Maria A and Koppensteiner, Peter and Kobayashi, Kenta and Jösch, Maximilian A and Shigemoto, Ryuichi},
  journal      = {Current Biology},
  number       = {1},
  pages        = {P25--38.E5},
  publisher    = {Elsevier},
  title        = {{Ventro-dorsal hippocampal pathway gates novelty-induced contextual memory formation}},
  doi          = {10.1016/j.cub.2020.09.074},
  volume       = {31},
  year         = {2021},
}

@article{7553,
  abstract     = {Normative theories and statistical inference provide complementary approaches for the study of biological systems. A normative theory postulates that organisms have adapted to efficiently solve essential tasks, and proceeds to mathematically work out testable consequences of such optimality; parameters that maximize the hypothesized organismal function can be derived ab initio, without reference to experimental data. In contrast, statistical inference focuses on efficient utilization of data to learn model parameters, without reference to any a priori notion of biological function, utility, or fitness. Traditionally, these two approaches were developed independently and applied separately. Here we unify them in a coherent Bayesian framework that embeds a normative theory into a family of maximum-entropy “optimization priors.” This family defines a smooth interpolation between a data-rich inference regime (characteristic of “bottom-up” statistical models), and a data-limited ab inito prediction regime (characteristic of “top-down” normative theory). We demonstrate the applicability of our framework using data from the visual cortex, and argue that the flexibility it affords is essential to address a number of fundamental challenges relating to inference and prediction in complex, high-dimensional biological problems.},
  author       = {Mlynarski, Wiktor F and Hledik, Michal and Sokolowski, Thomas R and Tkačik, Gašper},
  journal      = {Neuron},
  number       = {7},
  pages        = {1227--1241.e5},
  publisher    = {Cell Press},
  title        = {{Statistical analysis and optimality of neural systems}},
  doi          = {10.1016/j.neuron.2021.01.020},
  volume       = {109},
  year         = {2021},
}

@article{7685,
  abstract     = {We consider a gas of interacting bosons trapped in a box of side length one in the Gross–Pitaevskii limit. We review the proof of the validity of Bogoliubov’s prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein.},
  author       = {Boccato, Chiara},
  issn         = {0129-055X},
  journal      = {Reviews in Mathematical Physics},
  number       = {1},
  publisher    = {World Scientific},
  title        = {{The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime}},
  doi          = {10.1142/S0129055X20600065},
  volume       = {33},
  year         = {2021},
}

@article{7883,
  abstract     = {All vertebrates have a spinal cord with dimensions and shape specific to their species. Yet how species‐specific organ size and shape are achieved is a fundamental unresolved question in biology. The formation and sculpting of organs begins during embryonic development. As it develops, the spinal cord extends in anterior–posterior direction in synchrony with the overall growth of the body. The dorsoventral (DV) and apicobasal lengths of the spinal cord neuroepithelium also change, while at the same time a characteristic pattern of neural progenitor subtypes along the DV axis is established and elaborated. At the basis of these changes in tissue size and shape are biophysical determinants, such as the change in cell number, cell size and shape, and anisotropic tissue growth. These processes are controlled by global tissue‐scale regulators, such as morphogen signaling gradients as well as mechanical forces. Current challenges in the field are to uncover how these tissue‐scale regulatory mechanisms are translated to the cellular and molecular level, and how regulation of distinct cellular processes gives rise to an overall defined size. Addressing these questions will help not only to achieve a better understanding of how size is controlled, but also of how tissue size is coordinated with the specification of pattern.},
  author       = {Kuzmicz-Kowalska, Katarzyna and Kicheva, Anna},
  issn         = {17597692},
  journal      = {Wiley Interdisciplinary Reviews: Developmental Biology},
  publisher    = {Wiley},
  title        = {{Regulation of size and scale in vertebrate spinal cord development}},
  doi          = {10.1002/wdev.383},
  year         = {2021},
}

@article{7900,
  abstract     = {Hartree–Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization of many-body correlations has been rigorously justified as an upper bound on the correlation energy at high density with weak interactions. We review the bosonic approximation, deriving an effective Hamiltonian. We then show that for systems with Coulomb interaction this effective theory predicts collective excitations (plasmons) in accordance with the random phase approximation of Bohm and Pines, and with experimental observation.},
  author       = {Benedikter, Niels P},
  issn         = {1793-6659},
  journal      = {Reviews in Mathematical Physics},
  number       = {1},
  publisher    = {World Scientific},
  title        = {{Bosonic collective excitations in Fermi gases}},
  doi          = {10.1142/s0129055x20600090},
  volume       = {33},
  year         = {2021},
}

@article{7901,
  abstract     = {We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree–Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy.},
  author       = {Benedikter, Niels P and Nam, Phan Thành and Porta, Marcello and Schlein, Benjamin and Seiringer, Robert},
  issn         = {1432-1297},
  journal      = {Inventiones Mathematicae},
  pages        = {885--979},
  publisher    = {Springer},
  title        = {{Correlation energy of a weakly interacting Fermi gas}},
  doi          = {10.1007/s00222-021-01041-5},
  volume       = {225},
  year         = {2021},
}

@article{7905,
  abstract     = {We investigate a sheaf-theoretic interpretation of stratification learning from geometric and topological perspectives. Our main result is the construction of stratification learning algorithms framed in terms of a sheaf on a partially ordered set with the Alexandroff topology. We prove that the resulting decomposition is the unique minimal stratification for which the strata are homogeneous and the given sheaf is constructible. In particular, when we choose to work with the local homology sheaf, our algorithm gives an alternative to the local homology transfer algorithm given in Bendich et al. (Proceedings of the 23rd Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 1355–1370, ACM, New York, 2012), and the cohomology stratification algorithm given in Nanda (Found. Comput. Math. 20(2), 195–222, 2020). Additionally, we give examples of stratifications based on the geometric techniques of Breiding et al. (Rev. Mat. Complut. 31(3), 545–593, 2018), illustrating how the sheaf-theoretic approach can be used to study stratifications from both topological and geometric perspectives. This approach also points toward future applications of sheaf theory in the study of topological data analysis by illustrating the utility of the language of sheaf theory in generalizing existing algorithms.},
  author       = {Brown, Adam and Wang, Bei},
  issn         = {1432-0444},
  journal      = {Discrete and Computational Geometry},
  pages        = {1166--1198},
  publisher    = {Springer Nature},
  title        = {{Sheaf-theoretic stratification learning from geometric and topological perspectives}},
  doi          = {10.1007/s00454-020-00206-y},
  volume       = {65},
  year         = {2021},
}

