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This program is deliberately structured to be flexible and capable of responding both to innovations in research, and to individual student needs. It therefore lays down few formal requirements and emphasizes faculty-student interaction throughout the training process. In keeping with Brown's curricular tradition, programs of study are individually designed by graduate students in consultation with CMM supervisory committees.


A computer tracks a walking person and creates a 3D model of his movement in yellow.

Since the program is interdisciplinary, students may be unfamiliar with one or more of the core disciplines. One of our primary concerns is responding to the educational needs of students whose primary undergraduate training was in very different areas. We address this problem on two fronts: core courses and interdisciplinary courses. See a sampling of our courses.

In addition to coursework, graduate students must satisfy three research milestones and teacher training. Instruction is also enriched by retreats and seminars .

The following table provides an overview of the graduate student requirements with a timeline. The requirements noted here are additions to, or modifications of, the requirements of the each of the home departments.

Table 1
Timetable of IGERT Training Program

 Year  Course -work Interdisciplinary Research  Teacher Training Special IGERT Activities (Retreats, Seminars, etc.)
  

1

Core courses 
  AM 268 
  Cog Sci 220 
  CS 240

 1st/2nd year research project

Teacher training workshops 

Teaching assistantships

Mentor undergraduate research under faculty supervision

 
 
 

Attend

2
3

Specialized inter-disciplinary seminars

Preliminary paper or thesis proposal Teaching assistantships 

Mentor undergraduate research in partnership with faculty

Attend & present
4-5 Dissertation

Take a look at sample programs of study for three hypothetical students.

Courses

We offer a set of core courses at the graduate level which provide an introduction to the respective fields without presupposing an extensive background. Graduate students are required to take the core courses in each of the two non-home departments and are encouraged to do so in their first year.

Secondly, Brown offers specialized complementary or joint courses that span disciplinary and departmental boundaries. Students are required to take at least three of these courses during their graduate careers. At least one such seminar would be collaboratively taught each year by the CMM postdoctoral fellows.

Also, each department typically offers several new seminars a year, an important component of advanced graduate student training. Brown actively encourages exploration and innovation in teaching, and our teaching loads permit us to develop new courses on important topics. New courses are generally first given a "trial run" as special seminars and the most successful among them are incorporated into the regular teaching schedule.

Course sampling

CG220 Core Topics in Cognitive Science &core course covering essential background and current issues in cognitive science, including experimental, computational, and neurophysiological perspectives. Three topics (cognition, perception, and language) rotate yearly.

AM193 Computational Probability and Statistics – This looks at the role of computing in modeling and analyzing complex stochastic systems. Topics motivated by applications in the Computer, Cognitive, and Neural Sciences. In each topic area students will perform computer experiments (in Matlab) that highlight and confirm the analytic foundations developed in class. Prerequisites: basic knowledge of probability, statistics, and linear algebra.

AM195 Computational Probability and Statistics II – This will be a continuation of AM193, intended to introduce mathematical foundations and techniques of current interest in the neural, cognitive, and computer sciences. Possible topics include: Monte Carlo computational methods; the EM algorithm; probabilistic grammars; mean field theory; information theory (entropy, Kullback-Leibler "distance," probabilities and codes); Poisson processes; ordinary and partial differential equations in neural modeling.

CS141 Introduction to Artificial Intelligence – This covers theoretical and practical issues in getting systems to perform tasks that require intelligence. Example tasks range from scheduling airlines and controlling factories to cleaning floors and delivering mail. Topics include methods for representing complex real-world knowledge, learning from examples or reinforcement, planning and diagnostic reasoning, understanding natural-language text, robotics, and machine vision.

CS148 Building Intelligent Robots – This addresses the problem of controlling physical systems that operate in dynamic, unpredictable environments. Students, in pairs, build their own mobile robot and program it to perform a variety of simple tasks. Also examines the major paradigms of robot programming and studies architectures for building perception and control systems for intelligent robots.

CS195 Probabilistic Methods in Computer Science – This looks at advanced algorithms, focusing on the use of probabilistic techniques in the design and analysis of algorithms. The basic tools from probability theory and probabilistic analysis that are recurrent in algorithmic applications, together with a variety of algorithmic applications of these techniques.

CS241 Statistical Models in Natural Language Understanding – This covers various topics in computer understanding of natural language, primarily from a statistical point of view. Topics include: entropy, hidden Markov models, word-tagging models, probabilistic context-free grammar induction, syntactic disambiguation, semantic word clustering, and word-sense disambiguation.

Research

There are three research milestones for CMM graduate students:

• A first- or second-year research project.

Graduate students are expected to organize an interdisciplinary committee and to find a topic for this project by the end of their first year. The project should be of the magnitude of a strong masters thesis and should culminate in a publishable (or near-publishable) research paper and presentation. Successful completion of this project, in addition to the course requirements of the individual department, will result in the student's admission to candidacy for the Ph.D. degree.

• Identifying and developing a topic for a dissertation.

This milestone takes place in the third year, when graduate students perform basic background research in their areas. The research culminates in a preliminary paper for students whose home department is Cognitive and Linguistic Sciences, in a thesis proposal for students in Computer Science, and a thesis proposal presentation for students in Applied Mathematics.

These papers and proposals are presented at a retreat for general comment and committee approval. We consider it especially important that students present their research in an interdisciplinary setting. We want our students to be capable of communicating their research to scientists who are not specialists in their particular field, and the retreats play a crucial role in developing that ability. The retreats are also used to present seminars on the appropriate conduct of professional activities such as grant preparation and the ethical aspects of scientific research. In addition, all students engaging in behavioral research must complete a laboratory course in Cognitive Science, in which effective research design and the ethics of research with human subjects are discussed.

• A dissertation.

The dissertation is typically related to the topic the student researched and proposed in the third year, and supervised by the same interdisciplinary committee. Standard time to completion of the degree is four to five years.

Teacher training

Postdoctoral fellows and graduate students receive preparation for university teaching in several ways:

• They participate in a series of workshops, offered by the Brown University Harriet Sheridan Center for the Advancement of College Teaching, and aimed at introducing classroom teaching methods and addressing concerns faced by new teachers.

• They give presentations in graduate seminars, research talks in the CMM retreats and colloquia, and a formal presentation of the 1st/2nd year research project and the preliminary project.

• They receive experience in one-on-one research mentoring by serving as research advisors for undergraduate researchers. Graduate students mentor undergraduates with the supervision of faculty.

• Additionally, graduate students serve as teaching assistants for two-to-four semesters (as required by the home department), working closely with faculty members to prepare large-enrollment or laboratory courses, lead laboratory or discussion sections, and deliver at least one class lecture each term that is critiqued by a faculty member.

Examples of programs of study

Individual graduate trajectories are designed to interweave research, coursework, and teacher training into effective and innovative instructional programs. Each individual program will have a clear interdisciplinary topical focus. Below are potential programs of study for three hypothetical graduate students – one each in Applied Mathematics, Computer Science, and Cognitive and Linguistic Sciences.

Example 1: A student interested in vision. Home department: Applied Mathematics.

First year
CMM Core Courses
AM 211, 212: Real analysis and Hilbert space
AM 263, 264: Graduate level probability
AM 270: Pattern Theory
Engineering 256: Computer vision

Second year
CS 243: Machine Learning
AM 226 : Stochastic control
CMM research seminar: Vision – computational and psychophysical perspectives.
Three additional AM breadth courses.
Prepare for orals, major in probability and statistics, minor in analysis and control. Implement some vision algorithm to get experience with real data.

Third Year
CMM research seminar: Vision in human and machine (collaborative interdisciplinary postdoctoral fellow course).
Increasing acquaintance with all aspects of vision, computational and psychophysical through seminars and reading.
Thesis
Craft a stochastic model to learn a class of patterns present in the visual world, analyze the model from a theoretical perspective, implement it and apply it to real images and critically evaluate its performance.

Example 2: A student interested in human and robotic navigation. Home department: Computer Science.

First year
CMM Core Courses
CS243: Machine Learning
CS244: Planning and Control
CS148: Building Intelligent Robots
Additional CS breadth course

Second year
CMM research seminar: Vision and control
CG153: Laboratory in Cognitive Processes
Three additional CS breadth courses
Second year research project: Implement a standard navigational algorithm on a robot and measure its performance experimentally. Compare results to those described in the literature for humans and/or animals.

Third year
CMM research seminar: Vision in human and machine (collaborative interdisciplinary postdoctoral fellow course). Research the human/animal literature in more depth and propose a formal model for some natural navigational process.
Thesis
Implement the model on a robot, measure its performance against that of humans and/or animals on the same tasks refine the model to improve its performance and better account for the behavioral data.

Example 3: A student interested in computational models of language learning. Home department: Cognitive & Linguistic Sciences.

First year
CMM Core Courses (AM 268, CS240)
CG143: Language Acquisition
CG244: Seminar in Language Acquisition
CG200: Seminar in Cognitive Science
CG123: Production, Perception, and Analysis of Speech
CG170: Introduction to Computational Linguistics
First year research project: Modeling development of basic speech perception skills in infants with varying degrees of hearing impairment.

Second year
CMM research seminar: Computational Approaches to Language Learning
CMM research seminar: Statistical Properties of Language Behavior
CS241: Statistical Models of Natural Language Understanding
CS243: Machine Learning
Additional Cognitive Science breadth courses
Research: Empirical studies of early speech perception in hearing-impaired infants.

Third year
CMM research seminar: Speech Recognition by Ear and Machine (collaborative interdisciplinary postdoctoral fellow course).
Preliminary paper: Structured stochastic models of developing spoken word recognition in hearing-impaired and – nonimpaired infants.
Thesis – Integrate structured stochastic modeling of development of spoken word recognition in hearing-impaired and non-impaired infants with empirical studies of spoken word recognition in these populations; formulate policy recommendations for timing and quality of amplification for hearing-impaired infants.