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.
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.
Introduction to quantum detection and estimation theory and its applications to quantum communications, quantum radar, quantum metrology, and quantum tomography. Background on quantum mechanics, quantum detection, composite quantum systems, Gaussian states, and quantum estimation.
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-the-art in computational imaging. Review of recent papers on omnidirectional 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.
 
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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
                                
                                The first essential step in the process of designing successful public health programs is to understand the needs that motivate these programs and the assets that can be brought to bear on developing them. The purpose of this course is to enable students to perform specific steps in a needs and assets assessment and to plan how to facilitate participation by those who will be affected by a resulting program. The assessment process encompasses two main components: an epidemiologic, behavioral, and social analysis of a community and population at risk for a health-related problem; and an effort to understand the character of the community, its members, and its strengths.
  
 
  
At the start of the course, we will discuss pre-assessment work which includes planning to put together a work group for planning the needs and assets assessment. We will touch on essential elements of encouraging participation, work-group management, and culturally sensitive practice. Simultaneously, we will create a logic model of a selected health problem using Step 1 of Intervention Mapping which employs an adapted version of the PRECEDE part of the PRECEDE-PROCEED model. Using this model, students will fully define their population and context for their assessments, posing questions, and choosing methods and data sources for completing each part of the logic model of the problem selected (heretofore referred to as the Logic of Risk). At the same time, we will cover various approaches and data sources for assessing a community’s strengths/assets. Finally, we will discuss post-assessment tasks including setting priorities and setting program goals for health and quality of life outcomes.
                                
                            
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.
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.
                                
                                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
                                
                            
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.
                                
                                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.
                                
                            
                                
                                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.
                                
                            
Many of the leading causes of mortality and morbidity disproportionately affect the populations of low-income countries. This course uses a multidisciplinary approach to analyse the emergence, justificiation and success of current global health priorities including reproductive health, child health water, infectious diseases, noncommunicable disease, mental health, and public health in complex emergencies (man made and Environmental). Students will learn to examine the social, economic, and political factors contributing to the rise of these global health priorities, learn about the different suggested approaches and tools for managing them as well be involved in the development of strategies for their solution. This course builds on Introduction to Global Health" (P6811) by demonstrating the application of major concepts and principles that govern the practice of global health in resource-poor countries."
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                                The Graduate Seminar in Sound Art and Related Media is designed to create a space that is inclusive yet focused on sound as an art form and a medium. Class time is structured to support, reflect, and challenge students as individual artists and as a community. The course examines the medium and subject of sound in an expanded field, investigating its constitutive materials, exhibition and installation practices, and its ethics in the 21st century. The seminar will focus on the specific relations between tools, ideas, and meanings and the specific histories and theories that have arisen when artists engage with sound as a medium and subject in art. The seminar combines discussions of readings and artworks with presentations of students' work and research, as well as site visits and guest lectures.
  
 
  
While the Columbia Visual Arts Program is dedicated to maintaining an interdisciplinary learning environment where students are free to use and explore different mediums while also learning to look at, and critically discuss, artwork in any medium, we are equally committed to providing in-depth knowledge concerning the theories, histories, practices, tools and materials underlying these different disciplines. We offer Graduate Seminars in different disciplines, or combinations of disciplines, including moving image, new genres, painting, photography, printmaking, sculpture, as well as in Sound Art in collaboration with the Columbia Music Department through their Computer Music Center. These Discipline Seminars are taught by full-time and adjunct faculty, eminent critics, historians, curators, theorists, writers, and artists.
                                
                            
                                
                                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.
This seminar explores China’s rise and its implications for global governance. The course introduces core international relations concepts and theoretical debates, then examines China’s behavior in areas such as trade, development finance, human protection, maritime disputes, nuclear policy, and technology. The final weeks focus on national strategy debates in the United States and China. Students will engage in critical reading, policy writing, and seminar discussion.
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.
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.
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. Topic: Large Data Stream Processing.
The class will give you a richer understanding of networking, focusing on principles and systems that have shaped the Internet. Via classic and contemporary literature, topics covered include routing, content delivery, congestion control, data centers, SDN, and the cloud.
This course presents a systematic overview of the most common cancer diagnoses across the lifespan and associated prevention, screening, and early detection. The course presents genetic predispositions and mutations as well as familial syndromes that increase risk for a diagnosis of cancer. The course examines cancer diagnoses that appear in all age groups as well as cancers mostly specific to set age groups. It incorporates the pathophysiology of pediatric, adolescent, young adult, and adult cancers, current evidence-based treatment modalities and regimens for each cancer, and data from ongoing clinical trials about cutting-edge therapies being developed. The course provides a framework for the oncology nurse practitioner (NP) for synthesis, integration, and application of this knowledge for diagnosing, assessing, and managing patients with a cancer diagnosis in clinical practice.
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: Advanced Big Data Analytics.
A reading course in an advanced topic for a small number of students, under faculty supervision.
Software or hardware projects in computer science. Before registering, the student must submit a written proposal to the instructor for review. The proposal should give a brief outline of the project, estimated schedule of completion, and computer resources needed. Oral and written reports are required. May be taken over more than one semester, in which case the grade will be deferred until all 12 points have been completed. No more than 12 points of COMS E6901 may be taken. Consult the department for section assignment.
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