Prerequisites: equivalent, or instructor's permission.
Representation of bandlimited signals and systems. Coherent and incoherent communications over Gaussian channels. Basic digital modulation schemes. Intersymbol inference channels. Fading multipath channels. Carrier and clock synchronization.
Prerequisites: equivalent.
Continuation of IEOR E6711, covering further topics in stochastic modeling in the context of queueing, reliability, manufacturing, insurance risk, financial engineering and other engineering applications. Topics from among generalized semi-Markov processes; processes with a non-discrete state space; point processes; stochastic comparisons; martingales; introduction to stochastic calculus.
Prerequisites: equivalent, or instructor's permission.
Advanced topics in communications, such as turbo codes, LDPC codes, multiuser communications, network coding, cross-layer optimization, cognitive radio. Content may vary from year to year to reflect the latest development in the field.
Prerequisites: or a course in stochastic processes.
Corequisites: ELEN E4815
Mutual information and entropy. The source coding theorem. The capacity of discrete memoryless channels and the noisy channel coding theorem. The rate distortion function. Discrete memoryless sources and single-letter distortion measures. Bhattacharya bounds, convolutional codes, and the Viterbi algorithm.
In recent years, the growing inequality within countries that have achieved enormous economic and democratic advancements has sparked fascinating debates on its causes, consequences, and ramifications. This course investigates the nexus between economic growth and social investment policies (e.g., education, housing, social assistance, labor market policies, and healthcare) and how a variety of factors, including political actors, processes, and institutions, influence the nature of the relationship. It equips students with the theoretical tools, empirical data, and historical materials necessary to better understand regional trends as well as distinctive domestic outcomes. The East Asian experience is set as the starting point, followed by a close examination of reform efforts in Latin America and Africa. Case studies are utilized to delve deeper into specific issues, such as racial divisions, adverse systemic shocks, and gender inequality.
(Seminar). This seminar will re-examine the methods and aims of early modern theater and performance historiography in light of recent, cross-disciplinary theorizations of the archive. We will consider how the disciplinary parameters of theater historians shaped the early modern stage as an object of knowledge, and what new forms of knowledge might emerge if we look beyond the traditional contours of the field. Through a critical and creative investigation of both traditional and heterodox archives, we will attend in particular to the trans-medial dimensions of plays and other performance events, and their ephemeral material remains. In addition to engaging critically with archival theories and methods, students will work with primary evidence in a range of media, conducting their own revisionist, archival projects, while thinking creatively about how we use archives in our research, writing, pedagogy, and public presentations.
This is a Public Health Course. Public Health classes are offered on the Health Services Campus at 168th Street. For more detailed course information, please go to Mailman School of Public Health Courses website at http://www.mailman.hs.columbia.edu/academics/courses
Survey of American architecture from the 17th century to the centennial, with scrutiny of the relationship between social and cultural ideals and architectural style and form. Consideration of the influence of European high style on American building and the connection between high style and vernacular forms. Domestic, religious, civic, commerical, and industrial architecture.
Prerequisites: A Course in at least One of the following: AI, Robotics, Computer Graphics, or Computer Vision
Seminar on Humanoid Robots. Analysis of existing hardware and software platforms. Programming of multi-degree-of-freedom robots. Understanding sensor feedback in perceive-act-sense control paradigms. Task-level planning and reasoning. Final project includes implementing a humanoid robot task on either a simulated or physical robot.
Prerequisites:
COMS W4731
or the instructor's permission.
Computational imaging uses a combination of novel imaging optics and a computational module to produce new forms of visual information. Survey of the state of art in computational imaging. Review of recent papers on: omni directional and panoramic imaging, catadioptric imaging, high dynamic range imaging, mosaicing and superresolution. Classes are seminars with the instructor, guest speakers, and students presenting papers and discussing them.
Four figures of 20th-century European drama: Brecht, Beckett, Mueller, and Jelinek. The politics of dramatic form explored in terms of a text/performance dialectic as well as in close consideration of historical context. Other plays, 20th century European.
This course introduces students to international human rights law (IHRL). In what sense are internationally-defined human rights "rights" and in what sense can the instruments which define them be considered "law"? How do we know that a claim is actually a "human right"? What are the relations among international, regional and national institutions in establishing and enforcing (or not) IHRL? Does IHRL represent an encroachment on national sovereignty? Is the future of IHRL regional? What enforcement mechanisms can we use, and who can decide upon their use? Finally, what redress is there for human rights violations, and how effective is it?
Attendance is required in the first class.
In the section on ‘liberty,’ we discuss such debates as negative v. positive liberty, natural v. civil liberty, and republicanism v. non-republican notions of liberty. The ‘equality’ readings focus mainly on arguments from Rawls, Dworkin, G. Cohen-- and their critics. The section on ‘democracy ‘ mainly considers the value of democracy, some merits of deliberative democracy, and constitutionalism (for and against) .
Prerequisites: related; or instructor's permission; knowledge of programming.
Internet of Things from the point of view of data. Methods for data analytics to understand tradeoffs and partitioning between cloud-based data-analytics and physical-device data-analytics. Two-way interaction between data and physical devices to support a truly ubiquitous, networked and autonomous cyber-physical ecosystem. System-focused design of architectures, algorithms, networks, protocols, communications, power, security and standards. Focus on a significant design project.
Prerequisites: Recommended preparation: CSEE W4119 or E6761, ability to comprehend and track development of sophisticated models.
Mathematical models, analyses of economic 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.
This course examines persistence and change in the global distribution of income, both within and across countries. We will consider philosophical arguments about inequality and whether or not it is a problem. Then we will review and discuss the measurement and positive economics of inequality. Finally, we will discuss political consequences of and policy responses to increases in inequality.
This course will be devoted to an analytic study of the transformation. The bulk of the course will be devoted to understanding the reforms that are under way or must be undertaken to accelerate growth and poverty reduction. On the macroeconomic front, we will discuss the issues related to fiscal deficit, public debt and the likelihood of a macroeconomic crisis. Special attention will be paid to the external sector reforms including trade liberalization, foreign investment liberalization, capital account convertibility, preferential trade arrangements and multilateral trade negotiations. Among domestic reforms, we will discuss the reform of the tax system, subsidies, agriculture, product and factor markets, infrastructure and social sectors. Cautionary Note: This is a new course whose content will evolve as the semester progresses. Therefore, the description should be viewed as tentative.
The purpose of this course is to provide students with a grounding in the practical side of implementation of economic sanctions as a tool of foreign policy. At the conclusion of the course, students will: 1) Understand the concepts associated with the implementation of economic sanctions; 2) Be conversant in the bureaucractic structures associated with sanctions implementation; and, 3) Understand the complicated and difficult choices required in the imposition of economic sanctions, including the risks of unintended consequences.
This course focuses on the use of special operations as an instrument of national strategy. While militaries have traditionally given precedence to conventional forces, since the end of the Second World War special operations forces have assumed an increasingly prominent role in statecraft. Civilian policymakers have been drawn to special operations, like air power, because it promises a less costly alternative to the use of conventional, ground forces. In practice, the effectiveness of special operations has varied with the problem at hand, the organizations involved, and the integration among civilian policy makers, special forces, and conventional military commands. The course opens with a review of the portfolio of roles and missions assigned to special operations forces. We will then narrow our focus to the use of special operations in the context of insurgency, counterinsurgency, and counterterrorism. In the second half of the course, we will examine a number of historical and contemporary cases to gauge the potential and the limits of special operations in various contexts.
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 today's most significant human rights issues and controversies. While the topics are necessarily law-related, the course will assume no prior exposure to legal studies.
There are two purposes to this course: 1. to develop your ability to negotiate in a purposeful, principled and effective way; and 2. to teach you how to build consensus and broker wise agreements with others. Negotiation is a social skill, and like all social skills you have to practice it if you want to get better at it. To give you the chance to practice, we'll do a number of simulated negotiations in and out of class. We'll also use lectures, case studies, exercises, games, videos, and demonstrations to help you develop your understanding. As we advance in the course, our focus will shift from simple one-on-one negotiations to more complex ones involving many parties, agents, coalitions, and organizations.