Selected advanced topics in smart electric energy. Content varies from year to year.
Selected advanced topics in smart electric energy. Content varies from year to year.
Selected advanced topics in smart electric energy. Content varies from year to year.
Prerequisites: ECON G6211, ECON G6212. Market Design is an emerging field in economics that attempts to devise a practical scheme for allocating scarce resources to individuals who value them. Its applications involve many important real life problems ranging from allocation of government resources such as public land, fishing/mineral rights, radio spectrum licenses, allocation of school choice and transplantable human organs, assignment of workers to jobs, to placement of advertising in Internet search engines. Mechanism design underpins the field as a general methodological framework, which is in turn operationalized by two branches of theories: 1) Auction Theory and 2) Matching Theory. The course will provide a guide through these theories and discusses a few applications along the way.
Prerequisites: permission of the departmental adviser to Graduate Studies.
This course will try to study the development of various aspects of theorization of the secular and the transformations of religion under modernity. It will be mainly based on close textual reading of important theoretical arguments representing important stages in the development of these arguments from the time of the Enlightenment to present day academic debates.
The first section will focus on the emergence of theories of a secular state in European philosophy starting with texts from Spinoza, Hobbes, and Hume. We shall also range over some ancillary texts that illustrate the nature of secularist arguments against religious beliefs and practices. The second section will concentrate on the development of the sociological tradition with focus on the works of Fustel de Coulanges, Max Weber and Ernst Troletsch. A short third section will focus on the establishment of religious studies as an academic discipline by looking at the works of a pioneer of this discipline: Wilfred Cantwell Smith. The fourth section will take up for reading and critical examination four different academic discussions in recent years: stemming from the work of Indian debates on secularism, from academic debates about the anthropology of religion, and especially studies of Islam started by the work of Talal Asad and responses it attracted. Finally, we shall take up critical works which revisit arguments from Weber by Charles Taylor and Hans Joas. The final weeks of the course will be devoted to conclusions drawn from these intersecting readings across historical time and space.
Nonlinear dynamics: Euler-Lagrange equations, Hamilton’s principle, variational calculus; nonlinear systems: fundamentals, examples, stability Notions, linear systems and linearization, frequency domain analysis, discrete time systems, absolute stability, input-to-state stabililty, control design: control Lyapunov functions, sliding mode control, control barrier functions; adaptive control: self-tuning regular, model reference adaptive control, feedback linearization, extremum seeking control, model predictive control, observer design: extended, unscented, and mixture model Kalman filters, moving horizon estimation, high-gain observers; repetitive processes: iterative learning control, learning-adaptive control, repetitive control; optimal control: continuous setting, discrete time setting, constrained optimal control, linear matrix inequality (LMI) constraints, dynamic programming and backward recursion.
This class explores advanced topics relating to the production of music by computer. Although programming experience is not a prerequisite, various programming techniques are enlisted to investigate interface design, algorithmic composition, computer analysis and processing of digital audio, and the use of computer music in contexts such as VR/AR applications. Check with the instructor for the particular focus of the class in an upcoming semester. Some familiarity with computer music hardware/software is expected. Permission of instructor is required to enroll.
Position, people, procedures, and productivity: this class will introduce first year students to the concept of the stage manager as the CE/OO (Chief Executive/Operating Officer) for a production. The primary focus will be on human resources management; organizational charts for both the commercial and not- for-profit arenas will be introduced and “best leadership practices” will be discussed. Texts and reading materials from non-theatrical sources will provide the basis for discussion. An individualized reading- writing project and presentation will spotlight the role of the stage manager within the larger context of theatrical production.
Theory and geometry of linear programming. The simplex method. Duality theory, sensitivity analysis, column generation and decomposition. Interior point methods. Introduction to nonlinear optimization: convexity, optimality conditions, steepest descent, and Newton’s method, active set, and barrier methods.
Discusses recent advances in fields of machine learning: kernel methods, neural networks (various generative adversarial net architectures), and reinforcement learning (with applications in robotics). Quasi Monte Carlo methods in the context of approximating RBF kernels via orthogonal transforms (instances of the structured technique). Will discuss techniques such as TD(0), TD(λ), LSTDQ, LSPI, DQN.
The course aims to offer students a realistic view and understanding of what is involved in maintaining a long-running commercial musical production. Through discussion with professionals and practical presentation we will explore the many and varied aspects of this collaborative industry.
The class will explore all aspects of modern technical theatre as currently practiced on Broadway. The intent will be to develop the vernacular and concepts necessary for the modern Stage Manager to communicate effectively with their technical departments and to have a more than passing understanding of what problems those departments are forced to cope with in the production scheme.
The ultimate goal being an appreciation and deeper understanding of the work performed by the technical departments, leading to enhanced co-operation on the part of all concerned.
May be repeated for credit. A special investigation of a problem in nuclear engineering, medical physics, applied mathematics, applied physics, and/or plasma physics consisting of independent work on the part of the student and embodied in a formal report.
This course surveys the politics and history of the five countries of contemporary Central Asia (Kazakhstan, Kyrgyzstan, Tajikistan, Turkmenistan, and Uzbekistan). In addition to imparting a substantive understanding of these countries, the course explores several conceptual lenses through which the region can be analyzed both over time and in comparison with other parts of the world. The first half of the course examines the political history of the region, with particular reference to how policies and practices of the Soviet state shaped the former republics of Soviet Central Asia. The second half turns to special topics at the center of the region’s political and social life today. Coverage of these topics—which include democratization, Islam and the politics of counter-insurgency, women and definitions of the public sphere, the politics of nation-building, and international security—will involve light reading from other regions to provide comparative perspective.
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Selected advanced topics in data-driven analysis and computation. Content varies from year to year, and different topics rotate through the course numbers 6690 to 6699.
Selected advanced topics in data-driven analysis and computation. Content varies from year to year, and different topics rotate through the course numbers 6690 to 6699.
Prerequisite: Course Application.
In an era increasingly defined by geopolitical competition, it is more important than ever for future policymakers to understand why and how foreign policy decisions are made. Inside the Situation Room, co-taught by Secretary Hillary Rodham Clinton and Dean Keren Yarhi-Milo, employs insights from diverse academic fields—including political psychology, domestic politics, and international relations—and the direct experience of high-level principals in the room to understand the key factors which underpin a nation’s most crucial decisions. This course allows students to engage with a range of case studies and examine decision-making in a variety of historical and contemporary contexts, from the search for Osama bin Laden, to the “red line” in Syria, to negotiating with Iran.
Students will be taught how to analyze and understand the complex interplay between individual psychology, domestic politics, public opinion, bureaucracy, the international environment, and other factors which feed into decisions about foreign policy—from crisis diplomacy to the use of force, signaling and perception, intelligence and its analysis, the deployment of other instruments of statecraft, and more. Through this course, students will think carefully and analytically about how leaders and other actors view the world, how they arrive at their decisions, and how various social, political, and psychological factors shape the policies they devise to promote their interests abroad. For more information, visit: https://www.sipa.columbia.edu/situationroom
Required Discussion Section For Inside the Situation Room.
Required Discussion Section For Inside the Situation Room.
Required Discussion Section For Inside the Situation Room.
Probabilistic Models and Machine Learning is a PhD-level course about how to design and use probability models. We study their mathematical properties, algorithms for computing with them, and applications to real problems. We study both the foundations and modern methods in this field. Our goals are to understand probabilistic modeling, to begin research that makes contributions to this field, and to develop good practices for building and applying probabilistic models.
Applications of spoken language processing, including text-to-speech and dialogue systems. Analysis of speech and text, including entrainment, empathy, personality, emotion, humor, sarcasm, deception, trust, radicalization, and charisma.
Advanced treatment of stochastic modeling in the context of queueing, reliability, manufacturing, insurance risk, financial engineering and other engineering applications. Review of elements of probability theory; exponential distribution; renewal theory; Wald’s equation; Poisson processes. Introduction to both discrete and continuous-time Markov chains; introduction to Brownian motion.
Analytical approach to the design of (data) communication networks. Necessary tools for performance analysis and design of network protocols and algorithms. Practical engineering applications in layered Internet protocols in Data link layer, Network layer, and Transport layer. Review of relevant aspects of stochastic processes, control, and optimization.
Mathematical models, analyses of economics and networking interdependencies in the internet. Topics include microeconomics of pricing and regulations in communications industry, game theory in revenue allocations, ISP settlements, network externalities, two-sided markets. Economic principles in networking and network design, decentralized vs. centralized resource allocation, “price of anarchy,” congestion control. Case studies of topical internet issues. Societal and industry implications of internet evolution.
Further study of areas such as communication protocols and architectures, flow and congestion control in data networks, performance evaluation in integrated networks. Content varies from year to year, and different topics rotate through the course numbers 6770 to 6779.
Health Communication has emerged as an important field of theory, research, and practice in the 21st century. As recognized by several public health and global health agendas, well-designed and implemented health communication interventions can have a positive impact on public health and health care outcomes, as well as contribute to advancing health equity. This course will introduce students to the field of Health Communication theory and practice, and its key action areas. It will prepare them to design, implement and evaluate health communication interventions within a systematic, participatory, engaging, process-oriented, and multidisciplinary framework that aims at behavioral, social, and organizational results and ultimately, improved public health outcomes. As health communication is grounded in many theories and principles (e.g., behavioral and social change, marketing, intergroup, sociology, anthropology, cultural-centered and positive deviance theory, mass media and new media theory, medical models, community organizing, social networks, etc.) that are also shared by other disciplines in the public health, health care, and community development fields, these theories will be briefly reviewed as part of session two in relation to their specific application to health communication theory and practice. The planning frameworks and practical exercises discussed and implemented in this course are specific to the field of health communication and provide students with core competencies and practical skills for future work in health communication within the nonprofit, corporate, academic, and government sectors both in the United States and globally.
Health Communication has emerged as an important field of theory, research, and practice in the 21st century. As recognized by several public health and global health agendas, well-designed and implemented health communication interventions can have a positive impact on public health and health care outcomes, as well as health equity. This course will introduce students to the field of Health Communication theory and practice, and its key action areas. It will prepare them to design, implement and evaluate health communication interventions within a systematic, participatory, engaging, process-oriented, and multidisciplinary framework that aims at behavioral, social, and organizational results and ultimately, improved public health outcomes.
As health communication is grounded in many theories and principles (e.g., behavioral and social change, marketing, intergroup, sociology, anthropology, cultural-centered and positive deviance theory, mass media and new media theory, medical models, community organizing, social networks, etc.) that are also shared by other disciplines in the public health, health care, and community development fields, these theories will be briefly reviewed as part of session two in relation to their specific application to health communication theory and practice. The planning frameworks and practical exercises included in this course are specific to the field of health communication and provide students with core competencies and skills for future work in health communication within the nonprofit, corporate, academic, and government sectors both in the United States and globally.
Further study of areas such as communication protocols and architectures, flow and congestion control in data networks, performance evaluation in integrated networks. Content varies from year to year, and different topics rotate through the course numbers 6770 to 6779.
During this course, students will be introduced to the methods and techniques of creating infographics and data visualizations. They will learn about storytelling and how to create various charts using Tableau Desktop software. Students will also learn the practical aspects of managing a public health data visualization project. Tableau is becoming widely used and is now also connectable to the “big 4” SPSS/SAS/STAT/R, as such it is an essential data analytics tool for understanding and manipulating data for public health. Students will learn methodologies on how to approach public health data to create data visualizations that display statistics in a compelling form in Tableau. This hands-on introductory course will teach students to develop meaningful public health data stories that reveal insights. Students will utilize health data to tell visual stories and develop an aesthetic for presenting their findings to a lay audience.
This course introduces the fundamental concepts and problems of international human rights law. What are the origins of modern human rights law? What is the substance of this law, who is obligated by it, and how is it enforced? The course will cover the major international human rights treaties and mechanisms and consider some of todays most significant human rights issues and controversies. While the topics are necessarily law-related, the course will assume no prior exposure to legal studies.
Prerequisites: the instructors permission prior to registration. Issues and problems in theory of international politics; systems theories and the current international system; the domestic sources of foreign policy and theories of decision making; transnational forces, the balance of power, and alliances.
Musicals, especially those that have traditionally originated on Broadway, are complex pieces of machinery that are designed to produce a variety of energies in the theater. When taken collectively, those energies constitute the aesthetic of the experience. As with plays, stage managers are charged with coordinating all of a musical’s production elements. However, stage managers should also be able to view a musical from every angle; that is, read it intelligently and analyze it dramatically so they can accurately gauge their contribution to the overall aesthetic. This course seeks to provide stage managers with a customized template to do that: in other words, how to connect what’s on the page and the stage to their own standard methodologies, cue calling, and the CEO/COO perspective. In the contemporary professional landscape, these are important tools that will help them optimize their work on musicals.
The term “digital humanities” (DH) has long been used to describe scholarship at the intersection of digital technologies and humanities disciplines. Although initially characterized by quantitative analysis and number-crunching, DH today enjoys a far broader mandate encompassing new fields like software studies, data visualization, critical code studies, and more. This course proposes to ride the wave of these developments.
Specifically, it explores how coding can be harnessed to the disciplines of film and media studies. Over the past few years, developments in generative AI have placed basic coding expertise within the reach of all. But what possibilities open up from these changes? Over the course of over a dozen weeks, students in this class will learn ways in which coding can help refine and reimagine traditional scholarly agendas (e.g., film analysis, media industry studies, archival restoration, etc.). But the class also shows how coding opens up entirely new ways of working with media as objects of study.
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Prerequisites: the instructor's permission. This course will help guide E3B Ph.D. students towards candidacy by teaching them the skills necessary to be effective and independent scientists. Students will conduct an extensive literature review, write a preliminary dissertation proposal, and present their research ideas to the group on multiple occasions. Students will learn how to give and receive constructive written and oral feedback on their work.
This required Visual Arts core MFA curriculum course, comprising two parts, allows MFA students to deeply engage with and learn directly from a wide variety of working artists who visit the program each year.
Lecture Series
The lecture component, taught by an adjunct faculty member with a background in art history and/or curatorial studies, consists of lectures and individual studio visits by visiting artists and critics over the course of the academic year. The series is programmed by a panel of graduate Visual Arts students under the professor's close guidance. Invitations are extended to artists whose practice reflects the interests, mediums, and working methods of MFA students and the program. Weekly readings assigned by the professor provide context for upcoming visitors. Other course assignments include researching and preparing introductions and discussion questions for each of the visitors. Undergraduate students enrolled in Visual Arts courses are encouraged to attend and graduate students in Columbia's Department of Art History are also invited. Following each class-period the conversation continues informally at a reception for the visitor. Studio visits with Visual Arts MFA students take place on or around the week of the artist or critic's lecture and are coordinated and assigned by lottery by the professor.
Artist Mentorship
The Artist-Mentor component allows a close and focused relationship to form between a core group of ten to fifteen students and their mentor. Students are assigned two mentors who they meet with each semester in two separate one-week workshops. The content of each workshop varies according to the Mentors’ areas of expertise and the needs of the students. Mentor weeks can include individual critiques, group critiques, studio visits, visits to galleries, other artist's studios, museums, special site visits, readings, and writing workshops. Here are a few descriptions from recent mentors:
• During Mentor Week we will individually and collectively examine our assumptions and notions about art. What shapes our needs and expectations as artists and the impact of what we do?
• Our week will include visits to exhibition spaces to observe how the public engages the art. Throughout, we will consider art's ability to have real life consequences and the public's desire to personally engage with and experience art without mediation.
• The week will be conducted in two parts, f
Introduction to the theory and practice of formal methods for the design and analysis of correct (i.e. bug-free) concurrent and embedded hardware/software systems. Topics include temporal logics; model checking; deadlock and liveness issues; fairness; satisfiability (SAT) checkers; binary decision diagrams (BDDs); abstraction techniques; introduction to commercial formal verification tools. Industrial state-of-art, case studies and experiences: software analysis (C/C++/Java), hardware verification (RTL).
Advanced topics in signal processing, such as multidimensional signal processing, image feature extraction, image/video editing and indexing, advanced digital filter design, multirate signal processing, adaptive signal processing, and wave-form coding of signals. Content varies from year to year, and different topics rotate through the course numbers 6880 to 6889.
Advanced topics spanning electrical engineering and computer science such as speech processing and recognition, image and multimedia content analysis, and other areas drawing on signal processing, information theory, machine learning, pattern recognition, and related topics. Content varies from year to year, and different topics rotate through the course numbers 6890 to 6899. Topic: Big Data Analytics.
Advanced topics spanning electrical engineering and computer science such as speech processing and recognition, image and multimedia content analysis, and other areas drawing on signal processing, information theory, machine learning, pattern recognition, and related topics. Content varies from year to year, and different topics rotate through the course numbers 6890 to 6899.
Advanced topics spanning electrical engineering and computer science such as speech processing and recognition, image and multimedia content analysis, and other areas drawing on signal processing, information theory, machine learning, pattern recognition, and related topics. Content varies from year to year, and different topics rotate through the course numbers 6890 to 6899. Topic: Quantum Computing and Communication.