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Dimensionality Reduction


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  1. Stoichiometry of chemical reactions, quantum mechanical description of atoms, the elements and periodic table, chemical bonding, real and ideal gases, thermochemistry, introduction to thermodynamics and equilibrium, acid-base and solubility equilibria, introduction to oxidation-reduction reactions.

  2. Note: This course is offered by Stanford as an online course for credit. It can be taken individually, or as part of a master’s degree or graduate certificate earned online through the Stanford Center for Professional Development. This course provides a broad introduction to machine learning and statistical pattern recognition. Topics include: supervised learning (generative/discriminative learning, parametric/non-parametric...more

  3. Review. Professor Sylvia Ceyer reviews the main topics covered throughout the second half of the course including kinetics, transition metals, VSEPR theory, acid-base equilibrium, chemical equilibrium, and oxidation/reduction. Professor Ceyer uses the case study of methionine synthase to supplement the discussion.

  4. Oxidation and reduction. Oxidation states.

  5. Oxidation reduction (or redox) reactions.

  6. Generalization to Continuous States, Discretization & Curse of Dimensionality, Models/Simulators, Fitted Value Iteration, Finding Optimal Policy

  7. Professor Sylvia Ceyer concludes her discussion of acid/base titrations and moves onto the guidelines for assigning oxidation number. After defining the terms oxidation, reduction, oxidizing agent, and reducing agent, Professor Ceyer explains how to balance a redox reaction.

  8. After a discussion of electrochemical cells, Professor Sylvia Ceyer defines the points of oxidation and reduction in a battery as the anode and cathode, respectively. She discusses the application of Faraday's Law and its relationship to electrochemical cells. Finally, the relationship between cell potential and Gibbs free energy is highlighted.

  9. Taking a looking at oxidation and reduction in a biological context.

  10. Professor Sylvia Ceyer begins by adding and subtracting half-cell reactions (a continuation of her prior lecture on oxidation/reduction). The Nernst Equation is introduced, which can be used to determine the equilibrium reduction potential of a half cell in an electrochemical cell.

  11. Oxidation and reduction in cellular respiration. Reconciling the biology and chemistry definitions of oxidation and reduction.

  12. The Factor Analysis Model,0 EM for Factor Analysis, Principal Component Analysis (PCA), PCA as a Dimensionality Reduction Algorithm, Applications of PCA, Face Recognition by Using PCA