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.
Basic statistics and machine learning strongly recommended. Bayesian approaches to machine learning. Topics include mixed-membership models, latent factor models, Bayesian nonparametric methods, probit classification, hidden Markov models, Gaussian mixture models, model learning with mean-field variational inference, scalable inference for Big Data. Applications include image processing, topic modeling, collaborative filtering and recommendation systems.
This course will situate modern dramatic writing at the intersection of several kinds of inquiry focusing the distinctive material conditions of modern dramatic production and theatrical/theoretical critique. One line of thinking will take up the question of booking the play, rendering the play as a printed object to be read, a network of practices we will trace from Bernard Shaw’s desire for a blackened box of dialogue on the page through the idea of a “poetic” drama, to Stein, Beckett, Pinter, Smith, Wellman, and Parks. In tandem, though, we will also be tracing that other materiality outside the text, constituting the text, or a text, as an instrument for use in the richly ideological field of stage production: the problem play in the naturalistic box; episodic revision in the alienating apparatus of epic theatre, the refusal of the “masterpiece” in the dis/embodiment of cruelty, and the script as code in the era of digital reproducibility. Here, we will also bring some of the classic texts of modern dramatic, literary, performance, and technological theory to bear on the drama’s potential intermediation of the literary and the theatrical.
This course, then, will provide both an introduction to an important dimension of performance theory, and an overview of modern drama; it would be a suggestive complement for students working in early modern drama (source of many of the textual issues that continue to animate dramatic writing), as well as for students interested in an introduction to performance theory, and modernism/modern drama.
Seminar meets weekly; there is a brief (one-paragraph) weekly post, and one longer essay. Students are encouraged to use the writing for this course to develop longer range issues (i.e., I’ve had philosophy students who are more interested in the philosophical texts on performance than the dramatic texts, that’s fine; early modern drama students who want to bring some of the thinking about modern problems (text, performance, theory) back to earlier concerns, fine; and so on.
Understanding why people behave the way they do, what makes them change their behavior, and how these factors relate to health status and quality of life is critically important for public health professionals. The evidence for the role of individual behavior in all the major health problems throughout the world is indisputable. Equally indisputable is the complex array of factors that combine to produce behavior and deter behavior change. The purpose of this course is to build upon the material presented in the Core in order for students to be able to use individual, interpersonal, organizational and community level public health theories to explain and change health behavior.
How do stage and screen use movement to further the meaning of texts? What relationships emerge between motion and emotion, between kinesis and empathy, and how do those relationships vary across different body types and identities, and even across the movement repertories of animals and objects? How does the moving body evade theoretical frameworks that seek to arrest it? To answer such questions in two historically specific ways, this seminar zigzags between early modernity and the last century to survey major performance genres in each that make pronounced use of movement. In addition to plays, we will study dumb shows and silent film, masques and ballets, “dramatick operas” and
tanztheater
, fairs and freak shows, civic pageants and protest theater, animal baiting and circuses, “motion men” and motion capture. We will draw in particular upon the insights of phenomenology, performance theory, and critical dance studies, as well as affect, animal, critical race, and disability studies. We will examine motion at the scale of individual and collective embodiments, and in actions that range from gestures to dance steps. Major figures studied include Amiri Baraka, Pina Bausch, Charlie Chaplin, Merce Cunningham, Asadata Dafora, William Davenant, Thomas Dekker, John Dryden, Eiko & Koma, Mat Fraser, Thomas Heywood, Bill T. Jones, Ben Jonson, Young Jean Lee, Suzan-Lori Parks, Marius Petipa, William Shakespeare, and Luis Valdez.
Obesity is a serious condition that increases risk for type 2 diabetes, heart disease, stroke, certain types of cancer, and several other deleterious health outcomes. The US and NYCare facing an Obesity epidemic that threatens not only to cause increasingly severe health consequences but also billions of dollars in annual medical costs. Moreover, for the first time in decades, it threatens to reduce the life expectancies of today's youth by overwhelming public health improvements brought about in the 20th century. Numerous secular trends have precipitated the dramatic increases in obesity that have occurred over the past several decades. This course will provide a broad overview of the socio-cultural factors associated with the obesity epidemic; identify promising strategies for intervention; and enable students to craft and assess multi-pronged solutions to this multi-factorial problem.
The need for more effective and equitable engagement with communities has become increasingly evident to public health professionals in recent years. Now, more than ever, the importance of developing deeper and more engaged academic/institutional-community partnerships is necessary to address systems of structural inequity. However, developing these relationships requires not only knowledge of equity-based partnering formats, but the cultivation of complex skill sets that allow public health practitioners to most fully develop relationships across all phases of community collaboration. Two valuable forms of community engagement that public health practitioners and students can make use of are community-based participatory research and service learning, which are the focus of this course. Additionally, this course acknowledges that community engagement is a diverse space where people from a variety of professional and personal backgrounds come together. For many years, people working in the technology space have recognized the benefits of “matrixed teams,” similarly over the past few years the notion of interprofessionalism has become an important and required aspect of allied health and public health professional training. Research has shown that bringing together students from two or more professions to learn about, from, and with each other is extremely effective in all forms of collaboration (within research and intervention teams and with communities) and ultimately lead to improved health outcomes. According to the World Health Organization, “Once students understand how to work interprofessionally, they are ready to enter the workplace as a member of the collaborative practice team. This is a key step in moving health systems from fragmentation to a position of strength.” Pinsert course number – insert studio name 2 of 24 The overall goal of this course is for students to learn about and begin to practice the tenets of three frameworks: Interprofessional Education (IPE), Service-Learning (SL), and Community?Based Participatory Research (CBPR). With regard to interprofessional engagement, the course will provide students with a solid understanding of four key IPE competencies: roles/responsibilities, teams/teamwork, ethics/values, and communication. Complementing this, the course will introduce and integrate SL pedagogy to prepare students to engage in community service projects. The SL model prioritizes three aspects of project implementation: student learning, direct attenti
This six-week interactive online workshop will teach students the fundamental concepts and skills of digital storytelling. Digital stories are multimedia movies that combine photographs, video, animation, sound, music, and text with a narrative voice. Digital storytelling can be a powerful, multi-dimensional tool for community-based public health program enhancement, strategic communication, and advocacy (Hinyard & Kreuter, 2007). Students will share first-person narratives about public health passions and/or experiences and turn them into videos that can be used for training, community mobilization, advocacy, and more. SOSCP6776 – Digital Storytelling 2 of 10 The workshop will be led by facilitators from, and with a curriculum designed by, StoryCenter. StoryCenter is an international non-profit organization that assists people with the use of digital media tools to craft and share stories that lead to learning, action, and positive change. For the past 20 years, StoryCenter has been supporting researchers, educators, social justice organizers, and advocates in understanding how first-person narrative and participatory digital media production can advance a broad range of social justice and public health goals.
A graduate level deep learning course focusing on attention and transformer architectures. Introduces selection of transformer-based models applied to language, vision and audio problems, generative, diffusion, state-space, and mixture of expert models. Analysis of zero-shot learning, hallucinations, graph neural networks, multimodal architectures, and agents. Multiple object detection methods are compared. Course is executed in hybrid presentation/flipped-classroom styles, with practical exercises and student presentations on design and operation of DL models.
Advanced-level lab-based course. Build and experiment with deep-learning models implemented on low-power GPU edge computing device. Topics: architectures of low-power GPU devices, algorithms and DL models suitable for edge implementation, CUDA language, pre-processing of data, labeling for ground-truth annotation, profiling techniques, connectivity between edge devices and cloud computing servers, real-life data for experimentation, comparison of performance for a variety of methods, comparison of performance of edge-computing and cloud computing approaches.
The “liberal international order,” which until recently appeared inevitable to many observers, faces numerous challenges that have erupted in the past few years—including war, heightened superpower rivalry, the imposition of sanctions and tariffs, and economic stagnation. To this list, we must add a series of preexisting conditions, such as ballooning inequality and persistent North-South divides, the climate crisis, rising nationalist and xenophobic sentiment, and increasing support—on both the left and right—for protectionism and skepticism of “free trade” and (global) capitalism itself. In turn, the very utility (and desirability) of global-governance mechanisms and institutions is increasingly being called into question.
This course centers around analyzing the political economy and structure of the contemporary world order, its underlying logics, origins and inherently political nature, how it is (and is not) governed, and how power is exercised therein by actors including states, corporations, international institutions, and even individuals. As we will highlight throughout the semester, issues related to global political economy and governance shape the lives of people all over the world, including our own.
Specifically, we will discuss the origins and consolidation of today’s “liberal international order,” especially vis-à-vis its economic dimensions and the rise of global neoliberalisms, along with its trials, tribulations, and challengers, its “governance” and spatial logics, and the various forms of backlash against it that are currently proliferating. We will also carefully analyze the role of race, class, and gender in global economics and politics, as well as the persistence of colonial legacies, and the ongoing relevance of North-South and other inequalities. Additionally, we will discuss how issues such as the climate crisis, U.S.-China relations, and technological change are shaping the future trajectory of the global political-economic order (or orders).
To shed light on these and related matters, we will critically engage with the contributions of a diverse and interdisciplinary array of classic and contemporary thinkers who have sought to
theorize
the global economy, global governance, and world order, as well as the dynamic interplay between global politics and economics, in different ways.
This is a required core course for the MA in Global Thought
MIA & MPA Ethics Core.
This course investigates how ethical considerations shape, complicate, and often introduce dilemmas into the work of policymaking. It asks what justice, democracy, and responsibility demand in concrete policy contexts—should political leaders prioritize stability or accountability in post-conflict settings? Should elected officials follow their moral convictions even when doing so goes against the preferences of their constituents? Should public servants uphold the law when it conflicts with their moral principles? When is it right to work within flawed systems to achieve change, and when is it better to act from the outside? Through a mix of theoretical readings and case studies, students will learn to balance political, institutional, and ethical considerations, develop arguments for their moral choices, and advocate effectively for their policy decisions. The course is designed to cultivate reflective practitioners who can identify moral dilemmas in public policy, weigh competing values, and articulate their ethical positions in ways that are both critical and constructive.
MIA & MPA Ethics Core.
This course investigates how ethical considerations shape, complicate, and often introduce dilemmas into the work of policymaking. It asks what justice, democracy, and responsibility demand in concrete policy contexts—should political leaders prioritize stability or accountability in post-conflict settings? Should elected officials follow their moral convictions even when doing so goes against the preferences of their constituents? Should public servants uphold the law when it conflicts with their moral principles? When is it right to work within flawed systems to achieve change, and when is it better to act from the outside? Through a mix of theoretical readings and case studies, students will learn to balance political, institutional, and ethical considerations, develop arguments for their moral choices, and advocate effectively for their policy decisions. The course is designed to cultivate reflective practitioners who can identify moral dilemmas in public policy, weigh competing values, and articulate their ethical positions in ways that are both critical and constructive.
MIA & MPA Ethics Core.
This course investigates how ethical considerations shape, complicate, and often introduce dilemmas into the work of policymaking. It asks what justice, democracy, and responsibility demand in concrete policy contexts—should political leaders prioritize stability or accountability in post-conflict settings? Should elected officials follow their moral convictions even when doing so goes against the preferences of their constituents? Should public servants uphold the law when it conflicts with their moral principles? When is it right to work within flawed systems to achieve change, and when is it better to act from the outside? Through a mix of theoretical readings and case studies, students will learn to balance political, institutional, and ethical considerations, develop arguments for their moral choices, and advocate effectively for their policy decisions. The course is designed to cultivate reflective practitioners who can identify moral dilemmas in public policy, weigh competing values, and articulate their ethical positions in ways that are both critical and constructive.
The theme for this seminar is public art--old and new. Readings from antiquity through Habermas, Arendt, Adorno, Kracauer, Benjamin, to Rancierre, etc.
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.
This is an advanced graduate-level course in international macro-finance. The course focuses on empirical research and applied theory. This course is targeted to second year PhD students in business economics, economics, finance and related disciplines, including Columbia Business School MSFE students that have completed their first-year courses.
The course assumes familiarity with basic theoretical modeling techniques such as dynamic optimization and general equilibrium modeling. Similarly, the course assumes familiarity with basic empirical methods and with econometric software of your choice (Stata, Python, Matlab, etc.). Students without all the necessary prerequisites and familiarity with these techniques are welcome to take the course but should expect to have to fill the gaps on their own.
There is no required textbook for the course since we will mainly read and discuss papers on the reading list. The following resources will be used extensively:
-Handbook of International Economics, Volume 5, forthcoming.
Link
-Stanford Big-Data Initiative in International Macro-Finance Videos:
Link
The component includes scheduled studio critiques with some of New York’s most distinguished art practitioners, and is meant to offer multiple perspectives relevant to the training of contemporary artists. The Visual Arts program invites 20-25 artists and critics a semester, and each student sees at least two Visiting Critics per semester.
Visiting artists and critics are invited over the course of the academic year to give a one-hour lecture followed by discussion, and conduct three 40-minute studio visits. These lecturers will join the previously listed Visiting Critics and will be available as one of your allotted studio visits each semester.
Fundamentals of digital speech processing and audio signals. Acoustic and perceptual basics of audio. Short-time Fourier analysis. Analysis and filterbank models. Speech and audio coding, compression, and reconstruction. Acoustic feature extraction and classification. Recognition techniques for speech and other sounds, including hidden Markov models.
Generative AI and social media are accelerating the circulation of rumors. Yet our current surge of disinformation has striking historical precedents. Gutenberg’s printing press not only facilitated the scientific revolution but also led to a proliferation of pamphlets about various monsters. In the 1840s, the rotary printing press brought about a wave of fabricated news stories. Nearly a century later, the live transmission of radio made listeners of Orson Welles’
War of the Worlds
believe Martians were really invading. But radio was also the medium in which FDR’s fireside chats successfully countered banking rumors.
This seminar examines how successive media revolutions have shaped the propagation of rumors and falsehoods, from printed broadsides to QAnon, anti-vax campaigns, deepfakes, and generative AI. We will also analyze the limits of fact-checking and how counternarratives that gain wide circulation can displace disinformation.
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The Artist-Mentor program allows a close and focused relationship to form between a core group of students and their two mentors. Two full weeks each semester is dedicated to intensive engagement with an invited Mentor Artist. This unique time allows for a robust and focused relationship to form between the MFA Candidates and the Mentor, and typically includes a variety of off-campus real-world artistic activities. The content of the week will vary according to the mentors’ expertise and the needs of the cohort, and may include studio visits, gallery and museum visits, meetings with art world professionals, assigned readings, workshops, individual and group critiques, and more. The content of the workshop will vary according to the Mentors’ area of interest, expertise, and the needs of the students.
What does it mean to be an artist and what are the possible meaningful and impactful forms of sound art practice in the 21st century? What are the overlaps with other disciplines, and how do we negotiate these borders that might be more important in some contexts than others? During Mentor Week we will individually and collectively examine our assumptions and notions of sound art. Our week will include studio visits, hands-on observation of sound art projects, trips to museums to observe the public engage art within them. We will have more relaxed time to contemplate ideas, consider new concepts, and engage in nuanced discussions on shows, films, readings, and conversations with guests. Without classes to attend, the sense of time is slowed down and new ways of thinking, feeling and being in the world can be born.
Mentor Week is a special moment in your MFA experience. We meet in a highly compressed time frame, yet the lens of our group will be focused on the question of how individual experiences take shape and form. Soundworks have many ways of impacting and influencing us. Studio visits, group critiques, and field trips may be accompanied by relevant readings reflecting on the conditions for art making in the past and at present.
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
Inter-disciplinary graduate-level seminar on design and programming of embedded scalable platforms. Content varies between offerings to cover timely relevant issues and latest advances in system-on-chip design, embedded software programming, and electronic design automation. Requires substantial reading of research papers, class participation, and semester-long project.
Introduction to the fundamental principles of statistical signal processing related to detection and estimation. Hypothesis testing, signal detection, parameter estimation, signal estimation, and selected advanced topics. Suitable for students doing research in communications, control, signal processing, and related areas.
This course surveys key features of the Japanese political system, with a focus on political institutions and agents. The major actors create the structure for the course: the prime minister, the Diet, political parties, the bureaucracy, non-government actors such as big business and the media, and so on (see the class schedule below). Cutting across this course structure, we will examine key issues such as social and demographic change, political reform, administrative reform, foreign policy, national security, fiscal policy, energy, and others of particular interest to students. Tying these together, we will examine the positions that different actors take with respect to policies, as well as the sources of these policy preferences.
Overview of theory, computation and applications for sparse and low-dimensional data modeling. Recoverability of sparse and low-rank models. Optimization methods for low-dim data modeling. Applications to imaging, neuroscience, communications, web data.
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.
This course covers the fundamentals of quantum engineering, including core quantum information concepts, noise and decoherence in quantum hardware, as well as basic quantum control and error correction strategies.
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.
Prerequisites: ECON G6211 and ECON G6212 or the instructors permission. This course covers topics at the frontier of international trade research, placing an emphasis on theory. Previous topics include: trade patterns, offshoring, inequality, unemployment, trade and matching, firm organization, and trade policy.
Prerequisites: biology, ecology, genetics, and evolution. Introduction to the applied science of maintaining the earths biological diversity, its landscapes, and wilderness. Focus on the biological principles relevant to the conservation of biodiversity at the genetic, population, and community and landscape levels.
Selected topics in electrical and computer engineering. Content varies from year to year, and different topics rotate through the course numbers 6900 to 6909.
This proposed course allows for a variety of potential advanced courses to be taught as part of the proposed concentration on control.
Prerequisites: EESC GU4008, and advanced calculus, or the instructors permission. The current climate and its variations over Earth history are interpreted as consequences of fundamental physical processes, including radiative transfer, the atmosphere and ocean circulation, and the carbon cycle. Perturbations to climate, resulting from changing atmospheric composition or insolation, are examined using a combination of simple interpretative models and full Earth System Models.
Prerequisites: ECON G6412, ECON G6411, ECON G6215, ECON G6211. Corequisites: ECON G6212, ECON G6216, ECON G6412. This course will critically examine mainstream approaches to economic theory and practice, particularly in the areas of macroeconomic stabilization policy, poverty reduction, economic development, environmental sustainability, and racial and gender inequality. Topics will vary from year to year, but may include responses to the credit crisis and Great Recession, global warming and international negotiations, globalization, the measurement of poverty and inequality, different approaches to poverty reduction, AIDS and malaria, mass imprisonment, childrens wellbeing, the IMF and the World Bank, intellectual property in an international context, racial disparities in life expectancy, public pension systems in developed countries, health care, and homelessness. The course will also examine biases in economic discourse, both among policy makers and scholars.
Seismic waves in layered media, matrix methods, free vibrations of the Earth, dislocation theory, source mechanics.
Selected topics in Natural Language Processing (advanced level). Content and prerequisites vary between sections and semesters. May be repeated for credit. Check the "topics courses" webpage on the department website for more information on each section.
Provides students the opportunity to present work in progress or final drafts to other students and relevant faculty to receive guidance and feedback.
MRST Directed Readings, Independent study. Students should meet with the Program Director and Program Manager before registering for this course.