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Challenges of sampling and how phylogenetic comparative methods help: With a case study of the Pama-Nyungan laminal contrast
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In: ISSN: 1430-0532 ; EISSN: 1613-415X ; Linguistic Typology ; https://hal.archives-ouvertes.fr/hal-03643365 ; Linguistic Typology, De Gruyter, In press, ⟨10.1515/lingty-2021-0025⟩ (2022)
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Modified One-Sided EWMA Charts without- and with Variable Sampling Intervals for Monitoring a Normal Process
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In: Symmetry; Volume 14; Issue 1; Pages: 159 (2022)
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Analysis of a Repetitive Language Coding System: Comparisons between Fragile X Syndrome, Autism, and Down Syndrome
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In: Brain Sciences; Volume 12; Issue 5; Pages: 575 (2022)
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Reasons behind Low Cervical Screening Uptake among South Asian Immigrant Women: A Qualitative Exploration
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In: International Journal of Environmental Research and Public Health; Volume 19; Issue 3; Pages: 1527 (2022)
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Reduced Theta Sampling in Infants at Risk for Dyslexia across the Sensitive Period of Native Phoneme Learning
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In: International Journal of Environmental Research and Public Health; Volume 19; Issue 3; Pages: 1180 (2022)
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A precise bare simulation approach to the minimization of some distances. Foundations
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In: https://hal.archives-ouvertes.fr/hal-03278232 ; 2021 (2021)
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Abstract:
In information theory-as well as in the adjacent fields of statistics, machine learning, artificial intelligence, signal processing and pattern recognition-many flexibilizations of the omnipresent Kullback-Leibler information distance (relative entropy) and of the closely related Shannon entropy have become frequently used tools. To tackle corresponding constrained minimization (respectively maximization) problems by a newly developed dimension-free bare (pure) simulation method, is the main goal of this paper. Almost no assumptions (like convexity) on the set of constraints are needed, within our discrete setup of arbitrary dimension, and our method is precise (i.e., converges in the limit). As a side effect, we also derive an innovative way of constructing new useful distances/divergences. To illustrate the core of our approach, we present numerous examples. The potential for widespread applicability is indicated, too; in particular, we deliver many recent references for uses of the involved distances/divergences and entropies in various different research fields (which may also serve as an interdisciplinary interface).
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Keyword:
[MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]; Ali-Silvey-Morimoto type; alpha-divergences; Bhattacharyya coefficient; Bhattacharyya distance; Cressie-Read measures; Euclidean norms; fuzzy divergences; generalized maximum entropy method; Hellinger distance; importance sampling; Jensen-Shannon divergence/distance; Kullback-Leibler information distance; power divergences; relative entropy; Renyi divergences; Renyi entropies; Shannon entropy; Tsallis (cross) entropies
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URL: https://hal.archives-ouvertes.fr/hal-03278232/document https://hal.archives-ouvertes.fr/hal-03278232 https://hal.archives-ouvertes.fr/hal-03278232/file/001_Broniatowski_Stummer_2021-07-04_HAL-Version-1.pdf
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Explorations of language and communication in autism spectrum disorder: studies of under-researched and under-served populations
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Content Analysis and the Social Sciences: Nature, features and uses
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In: ALTRALANG Journal; Vol 3 No 03 (2021): ALTRALANG Journal Volume: 03 Issue: 03 / December 2021; 169-178 ; 2710-8619 ; 2710-7922 (2021)
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A Highly Scalable Method for Extractive Text Summarization Using Convex Optimization
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In: Symmetry ; Volume 13 ; Issue 10 (2021)
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Decoding Methods in Neural Language Generation: A Survey
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In: Information ; Volume 12 ; Issue 9 (2021)
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Bidirectional String Anchors: A New String Sampling Mechanism ...
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Issues of corpus comparability and register variation in the International Corpus of English: Theories and computer applications
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Vetter, Fabian. - : Otto-Friedrich-Universität, 2021. : Bamberg, 2021. : "SPLIT", 2021
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Tongue Swab User Acceptance for Tuberculosis Diagnosis: Characterizing the Facilitators and Barriers of Tongue Swab Use During the Era of COVID-19
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The Relationship between Expressive Language Sampling and Clinical Measures in Fragile X Syndrome and Typical Development.
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In: Brain sciences, vol 10, iss 2 (2020)
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Establishing a Survey of Refugees in Germany: Challenges in Sampling, Field Work and Measurement ...
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The Relationship between Expressive Language Sampling and Clinical Measures in Fragile X Syndrome and Typical Development
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In: Brain Sciences ; Volume 10 ; Issue 2 (2020)
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How the Probabilistic Structure of Grammatical Context Shapes Speech
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In: Entropy ; Volume 22 ; Issue 1 (2020)
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Learning Translation-Based Knowledge Graph Embeddings by N-Pair Translation Loss
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In: Applied Sciences ; Volume 10 ; Issue 11 (2020)
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Detrending the Waveforms of Steady-State Vowels
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In: Entropy ; Volume 22 ; Issue 3 (2020)
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