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    A Tensor Space for Multi-View and Multitask Learning Based on Einstein and Hadamard Products: A Case Study on Vehicle Traffic Surveillance Systems by Fernando Hermosillo-Reynoso, Deni Torres-Roman

    Published 2024-11-01
    “…It fuses M feature spaces <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="script">X</mi><mn>1</mn></msub><mo>,</mo><mo>⋯</mo><mo>,</mo><msub><mi mathvariant="script">X</mi><mi>M</mi></msub></mrow></semantics></math></inline-formula>, referred to as views, in a new latent tensor space, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">S</mi></semantics></math></inline-formula>, of order <i>P</i> and dimension <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>J</mi><mn>1</mn></msub><mo>×</mo><mo>⋯</mo><mo>×</mo><msub><mi>J</mi><mi>P</mi></msub></mrow></semantics></math></inline-formula>, defined in the space of affine mappings composed of a multilinear map <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">T</mi><mo>:</mo><msub><mi mathvariant="script">X</mi><mn>1</mn></msub><mo>×</mo><mo>⋯</mo><mo>×</mo><msub><mi mathvariant="script">X</mi><mi>M</mi></msub><mo>→</mo><mi mathvariant="script">S</mi></mrow></semantics></math></inline-formula>—represented as the Einstein product between a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>P</mi><mo>+</mo><mi>M</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-order tensor <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold-script">A</mi></semantics></math></inline-formula> anda rank-one tensor, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="bold-script">X</mi><mo>=</mo><msup><mi mathvariant="bold">x</mi><mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></msup><mo>⊗</mo><mo>⋯</mo><mo>⊗</mo><msup><mi mathvariant="bold">x</mi><mrow><mo stretchy="false">(</mo><mi>M</mi><mo stretchy="false">)</mo></mrow></msup></mrow></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="bold">x</mi><mrow><mo stretchy="false">(</mo><mi>m</mi><mo stretchy="false">)</mo></mrow></msup><mo>∈</mo><msub><mi mathvariant="script">X</mi><mi>m</mi></msub></mrow></semantics></math></inline-formula> is the <i>m</i>-th view—and a translation. …”
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    Narrativas abiertas en el cine de ficción ecuatoriano. DOI: 10.37785/nw.v2n2.a4 by Rosa Carpio Miranda

    Published 2018-07-01
    “…Keywords: Ecuadorian films; open end; narrativity; script; character psychology …”
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    The Content-Validated Geometry Lessons in Islam Observed Brain-based Learning by Sherma O. Sappari, Florante P. Ibarra, Amirul Mukminin, Kasinyo Harto, Lenny Marzulina, Herri Mulyono, Asmendri Asmendri

    Published 2023-11-01
    “…Designed in a qualitative grounded theory approach, an interview script was used for individual and focus group interviews.  …”
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    Linguistic and Cultural Analysis of Translation Techniqies in the Process of Adaptation of an English Series by N. V. Stepanova, Ye. Yu. Sinitskaya

    Published 2023-04-01
    “…The analysis was conducted on the basis of the officially published script translated by Y. Poleshchuk.Results and discussion. …”
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    The Sino-Vietnamese Negative Prefixes <i>bất</i>, <i>vô</i>, <i>phi</i> and Their Coexistence with Sentential Negators: A Synchronic and Diachronic Analysis by Giorgio Francesco Arcodia, Trang Phan

    Published 2025-06-01
    “…The research draws on a corpus of three bilingual Classical Chinese–Vietnamese translations of Confucius’s <i>Analects</i> from the 17th, 19th, and 21st centuries, two written in traditional <i>Nôm</i> script and one in the modern <i>Quốc ngữ</i> alphabet. …”
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