Assistant Professor

Department of Statistical Sciences

Department of Computer Science (cross-appointment)

University of Toronto

Department of Computer and Mathematical Sciences

University of Toronto Scarborough

Jump to: Teaching | Research Articles | News | Probabilistic Programming | Curriculum Vitæ | Contact

JUN 2016

I'll be speaking in the Nonparametric Bayes session at ISBA on The General Class of Random Graphs arising from Exchangeable Random Measures. The following group members will also be presenting research:

*Meta-Bayesian Analysis*.

Contributed talk by Jun Yang.*Sparse Network Analysis*.

Poster by Victor Veitch.*Nonstandard Complete Class Theorems*.

Poster by Haosui Duanmu.

MAY 2016

I'll be talking at the Statistical Society of Canada (SSC) meeting May 30 on "Mondrian processes and their statistical applications".

MAY 2016

I'm organizing a session on probabilistic programming at MFPS at CMU, May 23–26.

MAY 2016

I'm speaking in the Networks, Random Graphs and Statistics workshop at Columbia, May 3–6,
organized by Feng, Mukherjee, and Orbanz.

MAY 2016

Congratulations to **Jun Yang** on receiving an Alexander Graham Bell Canada Graduate Scholarship (CGS-D) from NSERC.

FEB 2016

I'll be speaking at HKUST February 19 on Sparse Exchangeable Graphs.

JAN 2016

I'll be speaking at MIT January 28 on Meta-Bayesian Analysis. Some feedback...

JAN 2016

I'll be speaking at the POPL Workshop on Probabilistic Programming Semantics on Exchangeable Random Primitives.

DEC 2015

New preprint on Gibbs-type Indian buffet processes.

DEC 2015

Pablo Garcia Moreno will be joining my group in the new year as an Amazon Research Post-Doctoral Fellow.

DEC 2015

The following work by group members will be presented at the 2015 NIPS Workshops in Montreal:

*Bayesian Nonparametrics: The Next Generation*. Talk by Victor Veitch.*Bounded Optimality and Rational Metareasoning*. Talk by Jun Yang.*Networks in the Social and Information Sciences*. Posters with Victor Veitch and Gintare Karolina Dziugaite.

NOV 2015

New preprint on neural network matrix factorization.

OCT 2015

- Oxford (Machine learning) Oct 7–9
- Warwick (Statistics) Oct 12–13
- Cambridge (Statistics, Engineering) Oct 14–16

SEP 2015

New preprint on the computability of disintegration.

JUN 2015

Congratulations to Haosui (Kevin) Duanmu on receiving the **best poster award** at the Statistical Society of Canada meeting for our work on Nonstandard Complete Class Theorems.

JUN 2015

Congratulations to Victor Veitch on receiving the **best theory poster award** at the 10th Conference on Bayesian Nonparametrics for our work on Exchangeable Graph Measures.

APR 2015

I am happy to report that I have received a 2015 Connaught New Researcher award.

APR 2015

I have been awarded an NSERC Discovery Grant to fund basic research in probabilistic programming.

- Siddharth Ancha, PhD candidate
- Haosui (Kevin) Duanmu, PhD candidate
- Pablo García Moreno, Postdoctoral fellow
- Victor Veitch, PhD candidate
- Jun Yang, PhD candidate

I am seeking students at all levels with strong quantitative backgrounds interested in foundational problems at the intersection of statistics and computer science. I am also seeking qualified postdoctoral researchers for two- and three- year positions. Please send me your c.v. and best research/project as PDFs.

My research blends computer science, statistics and probability theory; I study "probabilistic programming" and develop computational perspectives on fundamental ideas in probability theory and statistics. I am particularly interested in: representation theorems that connect computability, complexity, and probabilistic structures; stochastic processes, the use of recursion to define stochastic processes, and applications to nonparametric Bayesian statistics; and the complexity of probabilistic and statistical inference, especially in the context of probabilistic programming. Ultimately, I am motivated by the long term goal of making lasting contributions to our understanding of complex adaptive systems and especially Artificial Intelligence.

**STA4516** (Fall 2015)

**Topics in Probabilistic Programming**

**STAC63** (Fall 2015)

**Probability Models**

**STAD68** (Winter 2015)

**Advanced Machine Learning and Data Mining**

**STA4513** (Fall 2014)

**Statistical models of networks, graphs, and other relational structures**

Programs can be used to give compact representations of distributions: in order to represent a distribution, one simply gives a program that would generate an exact sample were the random number generator to produce realizations of independent and identically distributed random variables. This approach to representing distributions by *probabilistic programs* works not only for simple distributions on numbers like Poissons, Gaussians, etc., and combinations thereof, but also for more exotic distributions on, e.g., phrases in natural language, rendered 2D images of 3D scenes, and climate sensor measurements.

*Probabilistic programming systems* support statistical inference on models defined by probabilistic programs.
By constraining some variables of a program (e.g., simulated sensor readings in some climate model) and studying the *conditional* distribution of other variables (e.g., the parameters of the climate model), we can identify plausible variable settings that agree with the constraints. Conditional inferences like this would allow us to, e.g., build predictive text systems for mobile phones, guess the 3D shape of an object from only a photograph, or study the underlying mechanisms driving observed climate measurements.

Probabilistic programming systems for machine learning and statistics are still in their infancy, and there are many interesting theoretical and applied problems yet to be tackled. My own work focuses on theoretical questions around representing stochastic processes and the computational complexity of sampling-based approaches to inference. I was involved in the definition of the probabilistic programming language Church, and its first implementation, MIT-Church, a Markov Chain Monte Carlo algorithm operating on the space of execution histories of an interpreter. Some of my key theoretical work includes a study of the computability of conditional probability and de Finetti measures, both central notions in Bayesian statistics. Readers looking for an overview of these results are directed to the introduction of my doctoral dissertation. A less technical description of a probabilistic programming approach to artificial intelligence can be found in a recent book chapter on legacies of Alan Turing, co-authored with Freer and Tenenbaum.

More information on probabilistic programming can be found on probabilistic-programming.org, a wiki that I maintain. In particular, look at the list of research articles and papers on probabilistic programming and the tutorials.

I co-organized the first workshop on probabilistic programming for statistics and machine learning at NIPS*2008 (with Vikash Mansinghka, John Winn, David McAllester and Josh Tenenbaum). Four years later, I co-organized the second workshop on probabilistic programming at NIPS*2012 (with Vikash Mansinghka and Noah Goodman).

Hello, my name is Daniel M. Roy (or simply, Dan) and I am an Assistant Professor of Statistics at the University of Toronto, with a courtesy appointment also in Computer Science.

I received all three of my degrees in (Electrical Engineering and) Computer Science from MIT. As a doctoral student, I was member of the Computer Science and Artificial Intelligence Laboratory (CSAIL), where I was advised by Leslie Kaelbling. I also collaborated with members of Josh Tenenbaum's Computational Cognitive Science group.

After my doctorate, I was a Newton International Fellow of the Royal Society and then Research Fellow of of Emmanuel College at the University of Cambridge. At Cambridge, I was a member of the Machine Learning Group, headed by Zoubin Ghahramani and part of the Computational and Biological Learning Lab in the Department of Engineering.

You may find my abbreviated curriculum vitæ online.

Nate Ackerman, Matej Balog, William Beebee, Keith Bonawitz, Cristian Cadar, Hal Daumé III, Brian Demsky, Daniel Dumitran, Gintare Karolina Dziugaite, Cameron Freer, Zoubin Ghahramani, Noah Goodman, Creighton Heaukulani, Jonathan Huggins, Eric Jonas, Leslie Kaelbling, Charles Kemp, Balaji Lakshminarayanan, Tudor Leu, James Lloyd, Vikash Mansinghka, Peter Orbanz, Ryan Rifkin, Martin Rinard, Virginia Savova, Lauren Schmidt, David Sontag, Yee Whye Teh, Josh Tenenbaum, Victor Veitch, David Wingate

Several template .TEX files for producing slides for mathematical talks that more closely mimic the chalk talk aesthetic.

Valid XHTML 1.1 re-validate

Valid CSS
/styles/screen

The Mondrian Kernel

Matej Balog, Balaji Lakshminarayan, Zoubin Ghahramani, Daniel M. Roy, Yee Whye Teh

To appear in *Proc. Uncertainty in Artificial Intelligence (UAI)*, 2016.

Preprint available upon request.

The Class of Random Graphs Arising from Exchangeable Random Measures

Victor Veitch and Daniel M. Roy

| arXiv:1512.03099

Gibbs-type Indian Buffet Processes

(with Creighton Heaukulani)

| arXiv:1512.02543

Neural Network Matrix Factorization

Gintare Karolina Dziugaite and Daniel M. Roy

| arXiv:1511.06443

On computability and disintegration

(with Nate Ackerman and Cameron Freer)

To appear in *Mathematical Structures in Computer Science*.

| arXiv:1509.02992

Mondrian Forests for Large-Scale Regression when Uncertainty Matters

Balaji Lakshminarayanan,
Daniel M. Roy,
Yee Whye Teh.

To appear in *AISTATS*.

| arXiv:1506.03805

Convergence of Sequential Monte Carlo-based Sampling Methods

(with Jonathan Huggins)

| arXiv:1503.00966

The continuum-of-urns scheme,

generalized beta and Indian buffet processes,

and hierarchies thereof

| arXiv:1501.00208

On the computability of conditional probability

(with Nate Ackerman and Cameron Freer)

| arXiv:1005.3014

**Note:** *Articles distinguished by "(with ...)" have alphabetical author lists, as is the convention in mathematics and theoretical computer science.*

Computability, inference and modeling in probabilistic programming

Daniel M. Roy

*Ph.D. thesis, Massachusetts Institute of Technology*,
2011.

MIT/EECS George M. Sprowls Doctoral Dissertation Award

Training generative neural networks via Maximum Mean Discrepancy optimization

Gintare Karolina Dziugaite, Daniel M. Roy, and Zoubin Ghahramani

*Uncertainty in Artificial Intelligence (UAI) 2015*.

| arXiv:1505.03906

The combinatorial structure of negative binomial processes

(with Creighton Heaukulani)

To appear in *Bernoulli*.

Particle Gibbs for Bayesian Additive Regression Trees

Balaji Lakshminarayanan,
Daniel M. Roy,
Yee Whye Teh

*Proc. Artificial Intelligence and Statistics* (AISTATS), 2015.

| arXiv:1502.04622

Mondrian Forests: Efficient Online Random Forests

Balaji Lakshminarayanan,
Daniel M. Roy,
Yee Whye Teh

*Adv. Neural Information Processing Systems 27* (NIPS), 2014.

| code

Bayesian Models of Graphs, Arrays and Other Exchangeable Random Structures

(with Peter Orbanz)

*IEEE Trans. Pattern Anal. Mach. Intelligence* (PAMI), 2014.

| doi:10.1109/TPAMI.2014.2334607

| arXiv:1312:7857

| slides for talk at CIMAT

Top-down particle filtering for Bayesian decision trees

Balaji Lakshminarayanan,
Daniel M. Roy,
Yee Whye Teh

*Proc. Int. Conf. on Machine Learning* (ICML), 2013.

| code

Towards common-sense reasoning via conditional simulation:

Legacies of Turing in Artificial Intelligence

(with Cameron Freer and Josh Tenenbaum)

*Turing's Legacy (ASL Lecture Notes in Logic)*, 2012.

Exchangeable databases and their functional representation

James Lloyd, Peter Orbanz, Zoubin Ghahramani, Daniel M. Roy

*NIPS Workshop on Frontiers of Network Analysis: Methods, Models, and Applications*, 2013.

Random function priors for exchangeable arrays with applications to graphs and relational data

James Lloyd, Peter Orbanz, Zoubin Ghahramani, Daniel M. Roy

*Adv. Neural Information Processing Systems 25* (NIPS), 2012.

Computable de Finetti measures

(with
Cameron Freer)

*Annals of Pure and Applied Logic*, 2012.

Complexity of Inference in Latent Dirichlet Allocation

David Sontag and
Daniel Roy

*Adv. Neural Information Processing Systems 24* (NIPS), 2011.

On the computability and complexity of Bayesian reasoning

*NIPS Philosophy and Machine Learning Workshop*, 2011.

Noncomputable conditional distributions

(with Nate Ackerman and
Cameron Freer)

*Proc. Logic in Computer Science* (LICS), 2011.

Probabilistically Accurate Program Transformations

Sasa Misailovic,
Daniel M. Roy,
and
Martin C. Rinard

*Proc. Int. Static Analysis Symp.*
(SAS), 2011.

Bayesian Policy Search with Policy Priors

David Wingate,
Noah D. Goodman,
Daniel M. Roy,
Leslie P. Kaelbling,
and
Joshua B. Tenenbaum

*Proc. Int. Joint Conf. on Artificial Intelligence*
(IJCAI), 2011.

When are probabilistic programs probably computationally tractable?

(with Cameron Freer and Vikash Mansinghka)

*NIPS Workshop on Monte Carlo Methods for Modern Applications*, 2010.

Posterior distributions are computable from predictive distributions

(with Cameron Freer)

*Proc. Artificial Intelligence and Statistics* (AISTATS), 2010.

Complexity of Inference in Topic Models

David Sontag and
Daniel Roy

*NIPS Workshop on Applications for Topic Models: Text and Beyond*, 2009.

The Infinite Latent Events Model

David Wingate,
Noah D. Goodman,
Daniel M. Roy,
and
Joshua B. Tenenbaum

*Proc. Uncertainty in Artificial Intelligence* (UAI), 2009.

Computable exchangeable sequences have computable de Finetti measures

(with Cameron Freer)

*Proc. Computability in Europe* (CiE), 2009.

Exact and Approximate Sampling by Systematic Stochastic Search

Vikash Mansinghka,
Daniel M. Roy,
Eric Jonas,
and
Joshua Tenenbaum

*Proc. Artificial Intelligence and Statistics* (AISTATS), 2009.

The Mondrian Process

(with
Yee Whye Teh)

*Adv. Neural Information Processing Systems 21* (NIPS), 2009.

Video animation of the Mondrian process as one zooms into the origin (under a beta Levy rate measure at time t=1.0). See also the time evolution of a Mondrian process on the plane as we zoom in with rate proportional to time. In both cases, the colors are chosen at random from a palette. These animations were produced by Yee Whye in Matlab. For now, we reserve copyright, but please email me and we'll be more than likely happy to let you use them.

Chapter 5. Distributions on data structures: a case study

(Mondrian process theory)

Those seeking a more formal presentation of the Mondrian process than the NIPS paper should see Chapter 5 of my dissertation.

A stochastic programming perspective on nonparametric Bayes

Daniel M. Roy,
Vikash Mansinghka,
Noah Goodman,
and
Joshua Tenenbaum

*ICML Workshop on Nonparametric Bayesian*, 2008.

Church: a language for generative models

Noah Goodman,
Vikash Mansinghka,
Daniel M. Roy,
Keith Bonawitz,
and
Joshua Tenenbaum

*Proc. Uncertainty in Artificial Intelligence* (UAI), 2008.

Bayesian Agglomerative Clustering with Coalescents

Yee Whye Teh,
Hal Daumé III,
and
Daniel M. Roy

*Adv. Neural Information Processing Systems 20* (NIPS), 2008.

Discovering Syntactic Hierarchies

Virginia Savova,
Daniel M. Roy,
Lauren Schmidt, and
Joshua B. Tenenbaum

*Proc. Cognitive Science* (COGSCI), 2007.

AClass: An online algorithm for generative classification

Vikash K. Mansinghka,
Daniel M. Roy,
Ryan Rifkin, and
Joshua B. Tenenbaum

*Proc. Artificial Intelligence and Statistics* (AISTATS), 2007.

Efficient Bayesian Task-level Transfer Learning

Daniel M. Roy and
Leslie P. Kaelbling

*Proc. Int. Joint Conf. on Artificial Intelligience*
(IJCAI), 2007.

Learning Annotated Hierarchies from Relational Data

Daniel M. Roy,
Charles Kemp,
Vikash Mansinghka,
and
Joshua B. Tenenbaum

*Adv. Neural Information Processing Systems 19* (NIPS), 2007.

Clustered Naive Bayes

*MEng thesis*,
Massachusetts Institute of Technology, 2006.

Enhancing Server Availability and Security Through Failure-Oblivious Computing

Martin Rinard, Cristian
Cadar, Daniel Dumitran,
Daniel M. Roy,
Tudor Leu,
and William S. Beebee, Jr.

*Proc. Operating Systems Design and
Implementation* (OSDI), 2004.

A Dynamic Technique for Eliminating Buffer Overflow Vulnerabilities (and Other Memory Errors)

Martin Rinard, Cristian Cadar, Daniel Dumitran,
Daniel M. Roy,
and Tudor Leu

*Proc. Annual Computer Security Applications Conference* (ACSAC), 2004.

Efficient Specification-Assisted Error Localization

Brian Demsky, Cristian Cadar,
Daniel M. Roy,
and Martin C. Rinard

*Proc. Workshop on Dynamic Analysis* (WODA), 2004.

Efficient Specification-Assisted Error Localization and Correction

Brian Demsky, Cristian Cadar,
Daniel M. Roy,
and Martin C. Rinard

*MIT CSAIL Technical Report 927.*
November, 2003.

Implementation of Constraint Systems for Useless Variable Elimination

(advised by
Mitchell Wand)

*Research Science Institute.*
August, 1998.

I believe that errata, clarifications, missed citations, links to follow-on work, retractions, and other "marginalia" are important, but underappreciated, contributions to the scientific literature. Ultimately, the nature of a scientific document needs to be rethought, but until then I am slowly collecting marginalia in a simple wiki. I encourage everyone to host similar wikis, or contribute to this one.

Marginalia wiki.

*recruiters: no, thank you.*

**(research-only email)**

droy, utstat toronto edu

**(teaching-only email)**

UTSC:
daniel.roy, utsc utoronto ca

StG:
daniel.roy, utoronto ca

**(UTSC office)**

Dept. of Computer and

Mathematical Sciences

Univ. of Toronto Scarborough

IC Building, Room 462

1265 Military Trail

Toronto, ON

M1C 1A4

Canada

t: +1 (416) 287 5653

**(StG office)**

Dept. of Statistical Sciences

Univ. of Toronto

Sidney Smith Hall, 6027F

100 St. George St.

Toronto, ON

M5S 3G3

Canada

t: +1 (416) 978 4220

f: +1 (416) 978 5133

**(mobile phone)**

CA: +1 (647) 993 6380

UK: +44 (0) 7552 784 664

US: +1 (310) 913 6380