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Математические Приключения

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  • Mecánica y 2° Teorema Fundamental del Cálculo
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    Mecánica y 2° Teorema Fundamental del Cálculo #Matemáticas #Física #Ciencias #UniversoMecánico #Mecánica #Geometría #AreaBajoLaCurva #Derivada #Integral #TeoremaDeStokes #FormasDiferenciales #Integral #Región #DerivadaExterior #1Forma #IgualA #Integral #FronteraRegión #0Forma #CienciasTV #TeoremaFundamentalDelCálculo #SegundoTeoremaFundamentalDelCálculo #Distancia #IntegralDeLaVelocidad #Velocidad #DerivadaDelaDiestancia #IntegralDelaAceleración #Aceleración #DerivadaDelaVelocidad #IntegralDeLaTerceraDerivada ¿Quieres ver más videos? Visita: http://cienciastv.org.mx/ Descripición
  • The Fair Way to Attribute Feature Importance: Shapley Values | Machine Learning Interpretability
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    #MachineLearning #Interpretability #ShapleyValues #FeatureImportance #RandomForest #Fairness #DataScience #ArtificialIntelligence #MLAlgorithms #ModelExplanation #Fairness #montecarlo How are Shapley values used in Machine Learning for interpretability by finding the marginal contribution of a feature picked up by a predictive model? The Shapley value is the only attribution method that satisfies the properties Efficiency, Symmetry, Dummy and Additivity, which together can be considered a definition of a fair payout in a cooperative game. To find the contribution of the j-th feature, all possible coalitions of feature values have to be evaluated with and without the j-th feature to calculate the exact Shapley value. The exact solution to this problem becomes problematic as the number of possible coalitions exponentially increases so approximation with Monte Carlo sampling is utilised. To find the marginal contribution of feature ‘j’ in the data point ‘x’, the idea is to keep all other feature values the same and just change the feature j’s value by randomly sampling a value from the observed distribution of j-th feature. The process is repeated multiple times and the delta change in prediction value is averaged out to get the approximate Shapley value, which is the marginal contribution of feature ‘j’ in the prediction for data point ‘x’. One more trick is utilised to respect the joint-observed distribution of features is that over multiple iterations another sample data point ‘z’ from the dataset is drawn and a randomly-selected subset of features(including & excluding feature-j) are replaced in data-point ‘x’ by feature values of ‘z’. This gives us a modified sample ‘y0’ (feature ‘j’ not modified because of exclusion) and ‘y1’ (feature ‘j’ modified due to inclusion). Then the same process of calculating the delta between the predictions of ‘y0’ and ‘y1’ is calculated and later averaged out across multiple iterations to calculate the Shapley values. #datascience #machinelearning #statistics #deeplearning #programming #python #datatrek #youtube #interview #interviewpreparation #interviewquestions #datascientist #dataanalytics #machinelearningengineer #datasciencejobs #datasciencetraining #datasciencecourse #datascienceenthusiast #career #careeropportunities #careergrowth #careerdevelopment #datascienceenthusiast #interviewing #ml #ai About DataTrek Series https://youtu.be/YvUMvFVwC_E Business Enquiries: [email protected] Find me on Instagram: https://www.instagram.com/simplyspartanx/ Music: https://www.bensound.com/royalty-free-music
  • Exploring Symmetry Principles: Unveiling the Essence of Fundamental Physical Laws
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    Welcome to our captivating journey into the heart of symmetry principles that underpin the very fabric of our universe! In this video, we delve deep into the fascinating realm of group theory, unraveling how it intricately describes transformations within mathematical structures. As we uncover the profound connections between symmetry and fundamental physical laws, prepare to be amazed by the elegant simplicity that governs the complexities of our reality. #SymmetryPrinciples #GroupTheory #Physics #QuantumMechanics #Relativity #NoethersTheorem #StandardModel #ParticlePhysics #Crystallography #ScienceEducation #YouTubeTutorial Join us as we navigate through the rich tapestry of symmetry in physics, from the symmetries of space and time to the symmetries embedded within the fundamental forces of nature. Discover how group theory serves as a powerful tool for understanding the symmetries inherent in quantum mechanics, relativity, and beyond, shedding light on the deep-seated principles that guide the behavior of particles and fields. Throughout this enlightening exploration, we'll encounter a myriad of intriguing concepts, from the conservation laws arising from Noether's theorem to the symmetries underlying the Standard Model of particle physics. Witness the beauty of symmetry in action as we showcase real-world examples and applications, from crystallography to particle interactions in particle accelerators. Prepare to expand your understanding of the universe as we unveil the profound significance of symmetry principles in shaping the very foundations of modern physics. Whether you're a seasoned physicist or an enthusiastic learner, this video promises to spark curiosity and ignite a deeper appreciation for the elegance of nature's symmetries.
  • Никто не говорит ЭТО о дыхании!
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    Ежедневная дыхательная практика на внутреннее состояние и личностный рост. На то, как взять себя в руки и как найти вдохновение. Или как вдохновить себя на творчество и новое дело. В результате вы получите, просветление своих мыслей и поймете, как стать уверенным в себе! _______ 🥰 Бесплатные телесные практикумы и самое интересное в моём телеграмм-канале https://t.me/katerinabriz Ссылка на мои продукты https://katerinagrosheva.ru/?utm_source=youtube #катеринабриз #пробуждение #духовныепрактики #осознанность #духовноеразвитие #дыхательныепрактики #женскаяэнергия