Relevant bibliographies by topics / Double descent

Academic literature on the topic 'Double descent'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Double descent"

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Stevenson, Robert A., Dennis Evangelista, and Cindy V. Looy. "When conifers took flight: a biomechanical evaluation of an imperfect evolutionary takeoff." Paleobiology 41, no. 2 (March 2015): 205–25. http://dx.doi.org/10.1017/pab.2014.18.

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AbstractManifera talaris, a voltzian conifer from the late early to middle Permian (ca. 270 Ma) of Texas, is the earliest known conifer to produce winged seeds indicative of autorotating flight. In contrast to autorotating seeds and fruits of extant plants, the ones ofM. talarisare exceptional in that they have variable morphology. They bore two wings that produced a range of wing configurations, from seeds with two equal-sized wings to single-winged specimens, via various stages of underdevelopment of one of the wings. To examine the effects of various seed morphologies on aerodynamics and dispersal potential, we studied the flight performance of paper models of three morphotypes: symmetric double-winged, asymmetric double-winged, and single-winged. Using a high-speed camera we identified the mode of descent (plummeting, gliding, autorotation) and quantified descent speed, autorotation frequency, and other flight characteristics. To validate such modeling as an inferential tool, we compared descent of extant analogues (kauri;Agathis australis) with descent of similarly constructed seed models. All three seed morphotypes exhibited autorotating flight behavior. However, double-winged seeds, especially symmetric ones, failed to initiate slow autorotative descent more frequently than single-winged seeds. Even when autorotating, symmetric double-winged seeds descend faster than asymmetric double-winged ones, and descent is roughly twice as fast compared to single-winged seeds. Moreover, the relative advantage that (effectively) single-winged seeds have in slowing descent during autorotation becomes larger as seed weight increases. Hence, the range in seed wing configurations inM. talarisproduced a wide variation in potential dispersal capacity. Overall, our results indicate that the evolutionarily novel autorotating winged seeds must have improved conifer seed dispersal, in a time when animal vectors for dispersion were virtually absent. Because of the range in wing configuration, the early evolution of autorotative flight in conifers was a functionally imperfect one, which provides us insight into the evolutionary developmental biology of autorotative seeds in conifers.
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Loog, Marco, Tom Viering, Alexander Mey, Jesse H. Krijthe, and David M. J. Tax. "A brief prehistory of double descent." Proceedings of the National Academy of Sciences 117, no. 20 (May 5, 2020): 10625–26. http://dx.doi.org/10.1073/pnas.2001875117.

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Nakkiran, Preetum, Gal Kaplun, Yamini Bansal, Tristan Yang, Boaz Barak, and Ilya Sutskever. "Deep double descent: where bigger models and more data hurt*." Journal of Statistical Mechanics: Theory and Experiment 2021, no. 12 (December 1, 2021): 124003. http://dx.doi.org/10.1088/1742-5468/ac3a74.

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Abstract We show that a variety of modern deep learning tasks exhibit a ‘double-descent’ phenomenon where, as we increase model size, performance first gets worse and then gets better. Moreover, we show that double descent occurs not just as a function of model size, but also as a function of the number of training epochs. We unify the above phenomena by defining a new complexity measure we call the effective model complexity and conjecture a generalized double descent with respect to this measure. Furthermore, our notion of model complexity allows us to identify certain regimes where increasing (even quadrupling) the number of train samples actually hurts test performance.
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Kräuchi, Andreas, Rolf Philipona, Gonzague Romanens, Dale F. Hurst, Emrys G. Hall, and Allen F. Jordan. "Controlled weather balloon ascents and descents for atmospheric research and climate monitoring." Atmospheric Measurement Techniques 9, no. 3 (March 7, 2016): 929–38. http://dx.doi.org/10.5194/amt-9-929-2016.

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Abstract. In situ upper-air measurements are often made with instruments attached to weather balloons launched at the surface and lifted into the stratosphere. Present-day balloon-borne sensors allow near-continuous measurements from the Earth's surface to about 35 km (3–5 hPa), where the balloons burst and their instrument payloads descend with parachutes. It has been demonstrated that ascending weather balloons can perturb the air measured by very sensitive humidity and temperature sensors trailing behind them, particularly in the upper troposphere and lower stratosphere (UTLS). The use of controlled balloon descent for such measurements has therefore been investigated and is described here. We distinguish between the single balloon technique that uses a simple automatic valve system to release helium from the balloon at a preset ambient pressure, and the double balloon technique that uses a carrier balloon to lift the payload and a parachute balloon to control the descent of instruments after the carrier balloon is released at preset altitude. The automatic valve technique has been used for several decades for water vapor soundings with frost point hygrometers, whereas the double balloon technique has recently been re-established and deployed to measure radiation and temperature profiles through the atmosphere. Double balloon soundings also strongly reduce pendulum motion of the payload, stabilizing radiation instruments during ascent. We present the flight characteristics of these two ballooning techniques and compare the quality of temperature and humidity measurements made during ascent and descent.
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Kräuchi, A., R. Philipona, G. Romanens, D. F. Hurst, E. G. Hall, and A. F. Jordan. "Controlled weather balloon ascents and descents for atmospheric research and climate monitoring." Atmospheric Measurement Techniques Discussions 8, no. 12 (December 3, 2015): 12559–88. http://dx.doi.org/10.5194/amtd-8-12559-2015.

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Abstract. In situ upper-air measurements are often made with instruments attached to weather balloons launched at the surface and lifted into the stratosphere. Present day balloon-borne sensors allow near-continuous measurements from the Earth's surface to about 35 km (3–5 hPa), where the balloons burst and their instrument payloads descend with parachutes. It has been demonstrated that ascending weather balloons can perturb the air measured by very sensitive humidity and temperature sensors trailing behind them, particularly in the upper troposphere and lower stratosphere (UTLS). The use of controlled balloon descent for such measurements has therefore been investigated and is described here. We distinguish between the one balloon technique that uses a simple automatic valve system to release helium from the balloon at a pre-set ambient pressure, and the double balloon technique that uses a carrier balloon to lift the payload and a parachute balloon to control the descent of instruments after the carrier balloon is released at pre-set altitude. The automatic valve technique has been used for several decades for water vapor soundings with frost point hygrometers, whereas the double balloon technique has recently been re-established and deployed to measure radiation and temperature profiles through the atmosphere. Double balloon soundings also strongly reduce pendulum motion of the payload, stabilizing radiation instruments during ascent. We present the flight characteristics of these two ballooning techniques and compare the quality of temperature and humidity measurements made during ascent and descent.
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Belkin, Mikhail, Daniel Hsu, and Ji Xu. "Two Models of Double Descent for Weak Features." SIAM Journal on Mathematics of Data Science 2, no. 4 (January 2020): 1167–80. http://dx.doi.org/10.1137/20m1336072.

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Groechenig, Michael. "Adelic descent theory." Compositio Mathematica 153, no. 8 (May 31, 2017): 1706–46. http://dx.doi.org/10.1112/s0010437x17007217.

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A result of André Weil allows one to describe rank $n$ vector bundles on a smooth complete algebraic curve up to isomorphism via a double quotient of the set $\text{GL}_{n}(\mathbb{A})$ of regular matrices over the ring of adèles (over algebraically closed fields, this result is also known to extend to $G$-torsors for a reductive algebraic group $G$). In the present paper we develop analogous adelic descriptions for vector and principal bundles on arbitrary Noetherian schemes, by proving an adelic descent theorem for perfect complexes. We show that for Beilinson’s co-simplicial ring of adèles $\mathbb{A}_{X}^{\bullet }$, we have an equivalence $\mathsf{Perf}(X)\simeq |\mathsf{Perf}(\mathbb{A}_{X}^{\bullet })|$ between perfect complexes on $X$ and cartesian perfect complexes for $\mathbb{A}_{X}^{\bullet }$. Using the Tannakian formalism for symmetric monoidal $\infty$-categories, we conclude that a Noetherian scheme can be reconstructed from the co-simplicial ring of adèles. We view this statement as a scheme-theoretic analogue of Gelfand–Naimark’s reconstruction theorem for locally compact topological spaces from their ring of continuous functions. Several results for categories of perfect complexes over (a strong form of) flasque sheaves of algebras are established, which might be of independent interest.
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Stanimirović, Predrag S., Gradimir V. Milovanović, Milena J. Petrović, and Nataša Z. Kontrec. "A Transformation of Accelerated Double Step Size Method for Unconstrained Optimization." Mathematical Problems in Engineering 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/283679.

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A reduction of the originally double step size iteration into the single step length scheme is derived under the proposed condition that relates two step lengths in the accelerated double step size gradient descent scheme. The proposed transformation is numerically tested. Obtained results confirm the substantial progress in comparison with the single step size accelerated gradient descent method defined in a classical way regarding all analyzed characteristics: number of iterations, CPU time, and number of function evaluations. Linear convergence of derived method has been proved.
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Stanimirović, Predrag S., Bilall I. Shaini, Jamilu Sabi’u, Abdullah Shah, Milena J. Petrović, Branislav Ivanov, Xinwei Cao, Alena Stupina, and Shuai Li. "Improved Gradient Descent Iterations for Solving Systems of Nonlinear Equations." Algorithms 16, no. 2 (January 18, 2023): 64. http://dx.doi.org/10.3390/a16020064.

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This research proposes and investigates some improvements in gradient descent iterations that can be applied for solving system of nonlinear equations (SNE). In the available literature, such methods are termed improved gradient descent methods. We use verified advantages of various accelerated double direction and double step size gradient methods in solving single scalar equations. Our strategy is to control the speed of the convergence of gradient methods through the step size value defined using more parameters. As a result, efficient minimization schemes for solving SNE are introduced. Linear global convergence of the proposed iterative method is confirmed by theoretical analysis under standard assumptions. Numerical experiments confirm the significant computational efficiency of proposed methods compared to traditional gradient descent methods for solving SNE.
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Dieci, Luca, Manuela Manetta, and Haomin Zhou. "Double descent and intermittent color diffusion for landscape exploration." Numerical Algorithms 85, no. 1 (November 6, 2019): 145–69. http://dx.doi.org/10.1007/s11075-019-00807-6.

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Dissertations / Theses on the topic "Double descent"

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Christensen, James Boyd Highland Genevieve A. "Double descent among the Fanti /." Ann Arbor (Mich.) : UMI Books on demand, 1994. http://catalogue.bnf.fr/ark:/12148/cb37424568d.

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Boberg, Jonas. "Counting Double-Descents and Double-Inversions in Permutations." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-54431.

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In this paper, new variations of some well-known permutation statistics are introduced and studied. Firstly, a double-descent of a permutation π is defined as a position i where πi ≥ 2πi+1. By proofs by induction and direct proofs, recursive and explicit expressions for the number of n-permutations with k double-descents are presented. Also, an expression for the total number of double-descents in all n-permutations is presented. Secondly, a double-inversion of a permutation π is defined as a pair (πi,πj) where i<j but πi ≥ 2πj. The total number of double-inversions in all n-permutations is presented.
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Jumbo, McDonald Bright. "Comparison of conventional, modified single seed descent, and doubled haploid breeding methods for maize inbred line development using GEM breeding crosses." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 118 p, 2010. http://proquest.umi.com/pqdweb?did=1992441961&sid=6&Fmt=2&clientId=8331&RQT=309&VName=PQD.

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Le, Goïc Maëva. "Etude du contrôle postural chez l'homme : analyse des facteurs neurophysiologiques, biomécaniques et cognitifs, impliqués dans les 500 premières millisecondes d'une chute." Phd thesis, Université René Descartes - Paris V, 2013. http://tel.archives-ouvertes.fr/tel-01002633.

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La chute chez les seniors constitue un problème de santé publique. Citée comme la seconde cause de décès accidentel dans le monde, elle concerne un tiers des Français de plus de 65 ans. Les séquelles physiques et fonctionnelles qui en résultent, les conséquences psychosociales nuisibles pour la qualité de la vie, la perte d'autonomie et son coût de prise en charge justifient l'attention qui lui est actuellement portée. Du point de vue du chercheur, les interprétations sous-jacentes à la surexposition des personnes âgées au risque de chute restent controversées, notamment parce que la compréhension de la coordination dynamique corporelle et de l'implication corticale lors du contrôle de l'équilibre est encore limitée. L'étude de la chute et des mécanismes qui y conduisent présente donc un double intérêt, fondamental et sociétal. Une chute survient si deux conditions sont réunies. La première est la perte initiale de l'équilibre, un 'pré-requis' qui peut toucher la population entière dans son quotidien. La seconde est un échec des mécanismes de rééquilibration, c'est à dire de la stratégie de réponse mise en œuvre pour compenser la déstabilisation : comment s'opère la sélection d'une stratégie de rattrapage, à partir de quelle appréciation du contexte et des informations sensorielles disponibles est-elle choisie ? qu'est ce qui assure son opérationnalité et garantit le rattrapage ou signe au contraire son échec ?...Pour répondre à ces questions, nous nous sommes donc intéressés à ce moment critique où il est encore possible de modifier l'issue finale par des ajustements posturaux et des actions motrices rapides et adéquats chez une population de jeunes adultes. La première étude est une analyse globale de la phase précoce d'une chute -abrégée par un harnais- (soit quelques centaines de millisecondes après la perturbation), afin d'évaluer la capacité du sujet à réagir à une perturbation imprévue et de développer des stratégies garantissant une protection efficace. Cette première étape se propose d'identifier les indicateurs discriminants et prédictifs d'une chute et d'un rattrapage au niveau neurophysiologique et biomécanique. Cette étude a également permis de mettre en évidence la présence d'un délai temporel incompressible appelé " phase passive ", source de contraintes spatio-temporelles à l'expression complète d'une réponse posturale adaptée. Dans la seconde étude, de modélisation, nous avons élaboré un modèle mécanique personnalisé, construit à partir de radiographies tridimensionnelles non invasives du corps entier. Cette modélisation nous a permis d'analyser la contribution relative de propriétés biomécaniques passives et des synergies musculaires actives en jeu pendant les perturbations récupérables de l'équilibre ou non en comparant les résultats expérimentaux ('réels') obtenus à l'aide d'un dispositif asservi pour provoquer des chutes de plain-pied et la réponse théorique prédite ('simulée') à l'aide du modèle. Les résultats obtenus permettent de confirmer que le comportement du corps est en phase précoce-dicté par ses propriétés mécaniques, et peut être assimilé à un modèle simplifié. Après avoir mis en évidence l'existence d'une phase inertielle d'une durée équivalente à la moitié du temps disponible avant l'impact, notre questionnement s'est orienté vers le traitement de l'information en-cours lors de cette phase afin d'évaluer la contribution corticale alors que la réponse posturale évolue. La troisième étude consiste principalement à appréhender la charge cognitive impliquée dans le contrôle sensori-moteur, en particulier lors d'une chute, à l'aide du paradigme de double-tâche. En conclusion, à travers une approche pluridisciplinaire, les résultats obtenus dans cette thèse permettent d'émettre des recommandations intéressantes pour une prévention et une rééducation adaptée dans le but de contribuer à l'amélioration de la qualité de vie des personnes âgées.
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Books on the topic "Double descent"

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Ames, Richard. The double descent: A poem. London: Printed for John Dunton ..., 1986.

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Ottenberg, Simon. Double Descent in an African Society: The Afikpo Village-Group (American Ethnological Society Monographs, No 47). AMS Press, 1988.

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Double Descent and Gender Issues in the Cross River Region of Southeastern Nigeria. Dorrance Publishing Company, Incorporated, 2022.

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McDonald, Marianne. Croaks into Song. Edited by Robert Gordon. Oxford University Press, 2014. http://dx.doi.org/10.1093/oxfordhb/9780195391374.013.0020.

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“Croaks into Song” puts Sondheim’sFrogsinto the context of his other work. His music adds informed commentary. Sondheim is the most modern and insightful of present-day composers of musicals, skillfully reflecting not only the blackness of the times, but adding doubts about the future. Sondheim often turns to the classics, so Aristophanes’sThe Frogs, with its descent into Hades, was a natural choice. His work concludes with a hymn to death and praise for the way of life in Hades. There is political criticism, like the Aristophanic original: disparaging the insanity of war and know-nothing politicians, along with their followers who, like frogs, sing repetitious choruses. Rather than Aeschylus competing against Euripides, as in Aristophane’ play, here Shakespeare debates Shaw, yet some of the same artistic issues are raised.
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Darwin, Charles. On the Origin of Species. Edited by Gillian Beer. Oxford University Press, 2008. http://dx.doi.org/10.1093/owc/9780199219223.001.0001.

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‘Can we doubt … that individuals having any advantage, however slight, over others, would have the best chance of surviving and of procreating their kind?’ In the Origin of Species (1859) Darwin challenged many of the most deeply held beliefs of the Western world. His insistence on the immense length of the past and on the abundance of life-forms, present and extinct, dislodged man from his central position in creation and called into question the role of the Creator. He showed that new species are achieved by natural selection, and that absence of plan is an inherent part of the evolutionary process. Darwin's prodigious reading, experimentation, and observations on his travels fed into his great work, which draws on material from the Galapagos Islands to rural Staffordshire, from English back gardens to colonial encounters. The present edition provides a detailed and accessible discussion of his theories and adds an account of the immediate responses to the book on publication. The resistances as well as the enthusiasms of the first readers cast light on recent controversies, particularly concerning questions of design and descent.
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Book chapters on the topic "Double descent"

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Chairez, Isaac, Alexander Poznyak, Alexander Nazin, and Tatyana Poznyak. "Projectional Learning Laws for Differential Neural Networks Based on Double-Averaged Sub-Gradient Descent Technique." In Advances in Neural Networks – ISNN 2019, 28–38. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-22796-8_4.

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Stone, Linda. "Double, Bilateral, and Cognatic Descent." In Kinship and Gender, 145–73. Routledge, 2018. http://dx.doi.org/10.4324/9780429495083-5.

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Stone, Linda, and Diane E. King. "Double, Bilateral, and Cognatic Descent." In Kinship and Gender, 143–68. Routledge, 2018. http://dx.doi.org/10.4324/9780429463112-5.

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Forde, Daryll. "Double Descent and the Matrilineal System 1." In Yakö Studies, 85–134. Routledge, 2018. http://dx.doi.org/10.4324/9780429504679-4.

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"Some double coset decompositions." In The Descent Map from Automorphic Representations of GL(n) to Classical Groups, 65–80. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814304993_0004.

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"The Double in Poe and Dostoevsky: The Descent into the Subconscious." In Global Perspectives on Villains and Villainy Today, 47–54. BRILL, 2011. http://dx.doi.org/10.1163/9781848880528_007.

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Milam, Erika Lorraine. "The Edge of Respectability." In Creatures of Cain, 153–68. Princeton University Press, 2018. http://dx.doi.org/10.23943/princeton/9780691181882.003.0010.

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This chapter concerns the insights of Elaine Morgan, particularly in her 1972 book, The Descent of Woman. In this book, she argues that all theories of human evolution to date were based on a male-centered notion of human evolution. The Descent of Woman was one of the earliest public rejoinders to masculinist narratives of human ancestry. An Oxford-educated Welsh writer for BBC Radio, Morgan chose as her target several of the most prominent books on human evolution circulating through the United Kingdom. By the early 1970s, in other words, evolutionary approaches to human nature were sufficiently current for other writers (and publishers) to deem them worthy of ridicule. Yet humor was a double-edged sword. Sarcasm might garner readers but for authors with no formal training in anthropology or zoology, like Morgan, maintaining a respectable public persona as a popularizer of science proved difficult.
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Sobngwi, Eugène. "Diabetes in sub-Saharan Africa and in Africans." In Oxford Textbook of Endocrinology and Diabetes, 1805–11. Oxford University Press, 2011. http://dx.doi.org/10.1093/med/9780199235292.003.1408.

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The prevalence of diabetes is drastically increasing in every part of the African continent where repeated surveys have been conducted. According to the International Diabetes Federation (IDF), the number of affected people in Africa will double within 20 years, from 12 million in 2010 to 24 million in 2030. Similarly, an increase is being observed in African diasporas of Western countries. In addition, there are some clinical presentations of diabetes that are predominantly observed in populations of African descent and that are difficult to classify. The most characteristic is ketosis-prone atypical diabetes, previously identified under ‘idiopathic type 1 diabetes’, which may represent up to 15% of all newly diagnosed diabetes in African-origin populations. This chapter, therefore, focuses on epidemiological specificities of diabetes in Africa, on the clinical specificities, and on atypical clinical presentations.
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Ramsay-Jordan, Natasha N. "What Sports Do You Play? Actually, My Major Is Mathematics." In Women's Influence on Inclusion, Equity, and Diversity in STEM Fields, 66–75. IGI Global, 2019. http://dx.doi.org/10.4018/978-1-5225-8870-2.ch003.

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Although many different cultures contribute richly to the development of mathematics, many research scholars promote Western and Eurocentric perspectives of mathematics as dominant forces in mathematics history, texts, curriculum, and instruction. This absence of diverse mathematicians has worked to shape current negative narratives surrounding people of color in science, technology, engineering, and mathematics (STEM). Particularly, women of African descent remain underrepresented in STEM, comprising only 1.6% of STEM professionals with bachelor's degrees, and only 1.4% of those with doctoral degrees. Marked by the intersection of systemic and institutionalized racism and gender oppression, these women, experience “double bind” challenges. Using the author's personal story, she explores these challenges to highlight how institutionalized racism and sexism permeated her mathematics-STEM experience. Lastly, approaches of how to navigate, discretely and indiscreetly, the underrepresentation of young girls and women of color in STEM are offered.
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Baptiste, Bala J. "Race and Supremacy Contaminated Media." In Race and Radio, 21–36. University Press of Mississippi, 2019. http://dx.doi.org/10.14325/mississippi/9781496822062.003.0002.

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Racism was the dominant concept encapsulating black experiences with white supremacy in the United States. Whites considered people of European descent as being superior. Caucasians in media produced content presenting white cultural products as the norm. The bombardment of the constructed images convinced the public, including blacks, that Eurocentricity represented the standard of cultural productions. Similarly, ideological hegemony explained why blacks in media were initially presented as negative stereotypes. The theory suggested that whites intended to maintain the status quo. Non-whites needed to not be taken seriously. Whites in decision-making positions in mass media also marginalized or silenced voices of opposition. They regulated people of color to reside outside of mainstream thought. Marginalization suggested that only the ideals of the elite were worthy. W. E. B. Du Bois found the existence of a double consciousness in which African Americans navigated between a black world and a white world. Blacks mostly saw themselves through Caucasian lens and therefore accepted and internalized westernized culture.
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Conference papers on the topic "Double descent"

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Chen, John, Qihan Wang, and Anastasios Kyrillidis. "Mitigating Deep Double Descent by Concatenating Inputs." In CIKM '21: The 30th ACM International Conference on Information and Knowledge Management. New York, NY, USA: ACM, 2021. http://dx.doi.org/10.1145/3459637.3482142.

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Sivashankar, Varun, and Nikil Selvam. "Local Linearity and Double Descent in Catastrophic Overfitting." In CODS-COMAD 2022: 5th Joint International Conference on Data Science & Management of Data (9th ACM IKDD CODS and 27th COMAD). New York, NY, USA: ACM, 2022. http://dx.doi.org/10.1145/3493700.3493742.

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Deng, Zeyu, Abla Kammoun, and Christos Thrampoulidis. "A Model of Double Descent for High-Dimensional Logistic Regression." In ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2020. http://dx.doi.org/10.1109/icassp40776.2020.9053524.

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Kawaguchi, Aoshi, Hiroshi Kera, and Toshihiko Yamasaki. "Epoch-Wise Double Descent Triggered by Learning a Single Sample." In 2022 Asia Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC). IEEE, 2022. http://dx.doi.org/10.23919/apsipaasc55919.2022.9980025.

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Kini, Ganesh Ramachandra, and Christos Thrampoulidis. "Analytic Study of Double Descent in Binary Classification: The Impact of Loss." In 2020 IEEE International Symposium on Information Theory (ISIT). IEEE, 2020. http://dx.doi.org/10.1109/isit44484.2020.9174344.

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Yilmaz, Fatih Furkan, and Reinhard Heckel. "Regularization-wise double descent: Why it occurs and how to eliminate it." In 2022 IEEE International Symposium on Information Theory (ISIT). IEEE, 2022. http://dx.doi.org/10.1109/isit50566.2022.9834569.

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Oneto, Luca, Sandro Ridella, and Davide Anguita. "Do We Really Need a New Theory to Understand the Double-Descent?" In ESANN 2022 - European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning. Louvain-la-Neuve (Belgium): Ciaco - i6doc.com, 2022. http://dx.doi.org/10.14428/esann/2022.es2022-13.

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Li, Jian, Yong Liu, and Yingying Zhang. "Ridgeless Regression with Random Features." In Thirty-First International Joint Conference on Artificial Intelligence {IJCAI-22}. California: International Joint Conferences on Artificial Intelligence Organization, 2022. http://dx.doi.org/10.24963/ijcai.2022/445.

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Recent theoretical studies illustrated that kernel ridgeless regression can guarantee good generalization ability without an explicit regularization. In this paper, we investigate the statistical properties of ridgeless regression with random features and stochastic gradient descent. We explore the effect of factors in the stochastic gradient and random features, respectively. Specifically, random features error exhibits the double-descent curve. Motivated by the theoretical findings, we propose a tunable kernel algorithm that optimizes the spectral density of kernel during training. Our work bridges the interpolation theory and practical algorithm.
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9

Zhang, Xiao, Haoyi Xiong, and Dongrui Wu. "Rethink the Connections among Generalization, Memorization, and the Spectral Bias of DNNs." In Thirtieth International Joint Conference on Artificial Intelligence {IJCAI-21}. California: International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/ijcai.2021/467.

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Over-parameterized deep neural networks (DNNs) with sufficient capacity to memorize random noise can achieve excellent generalization performance, challenging the bias-variance trade-off in classical learning theory. Recent studies claimed that DNNs first learn simple patterns and then memorize noise; some other works showed a phenomenon that DNNs have a spectral bias to learn target functions from low to high frequencies during training. However, we show that the monotonicity of the learning bias does not always hold: under the experimental setup of deep double descent, the high-frequency components of DNNs diminish in the late stage of training, leading to the second descent of the test error. Besides, we find that the spectrum of DNNs can be applied to indicating the second descent of the test error, even though it is calculated from the training set only.
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10

Rath-Manakidis, Pavlos, Hlynur Hlynsson, and Laurenz Wiskott. "Reduction of Variance-related Error through Ensembling: Deep Double Descent and Out-of-Distribution Generalization." In 11th International Conference on Pattern Recognition Applications and Methods. SCITEPRESS - Science and Technology Publications, 2022. http://dx.doi.org/10.5220/0010821300003122.

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