## Programs & Events

##### Summer@ICERM 2019: Computational Arithmetic Dynamics

Jun 10 - Aug 2, 2019

Imagine spending eight-weeks on the beautiful Brown University campus in historic Providence, RI, working in a small team setting to solve mathematical research problems developed by faculty experts in their fields.

Imagine creating career-building connections between peers, near peers (graduate students and postdocs), and academic professionals.

Imagine spending your summer in a fun, memorable, and intellectually stimulating environment.

Now, imagine having this experience with support for travel within the U.S., room and board paid, plus a $3,570 stipend*.

The 2019 Summer@ICERM program at Brown University is an eight-week residential program designed for a select group of 18-22 undergraduate scholars.

The faculty advisers will present a variety of interdisciplinary research... (more)

##### Organizing Committee

- John Doyle
- Benjamin Hutz
- Bianca Thompson
- Adam Towsley

##### Arithmetic of Low-Dimensional Abelian Varieties

Jun 3 - 7, 2019

In this workshop, we will explore a number of themes in the arithmetic of abelian varieties of low dimension (typically dimension 2â€“4), with a focus on computational aspects. Topics will include the study of torsion points, Galois representations, endomorphism rings, Sato-Tate distributions, Mumford-Tate groups, complex and p-adic analytic aspects, L-functions, rational points, and so on. We also seek to classify and tabulate these objects, in particular to understand explicitly the underlying moduli spaces (with specified polarization, endomorphism, and torsion structure), and to find examples of abelian varieties exhibiting special behavior. Finally, we will pursue connections with related areas, including the theory of modular forms, related algebraic varieties (e.g., K3 surfaces), and special values of L-functions.

Our goal is for the workshop to bring together researchers working on abelian varieties in a number of facets to establish collaborations, develop algorithms, and... (more)

##### Organizing Committee

- Jennifer Balakrishnan
- Noam Elkies
- Brendan Hassett
- Bjorn Poonen
- Andrew Sutherland
- John Voight

##### Data Science in Low-dimensional Spaces

May 13 - 17, 2019

Data science in low-dimensional spaces is motivated by applications in mapping, navigation, geographic resource allocation, modeling of body shapes and chemical structures, and more. In addition to datasets that naturally reside in low-dimension spaces, dimension-reduction methods can often transform high dimensional data to lower-dimensional data while preserving properties of interest. Since many computational problems are intractable for high-dimensional data but potentially tractable for low-dimensional data, it is useful to establish the algorithmic foundations of data science on low-dimensional data, to understand the special properties of such data, and to identify computational methods that are highly effective when applied to such data.

This workshop will bring together researchers in academia and industry to explore algorithmic and data analysis technique specialized for low-dimensional data, and application areas in which such problems arise. The focus of this workshop is... (more)

##### Organizing Committee

- Vincent Cohen-Addad
- Philip Klein
- Eli Upfal

##### Introduction to the ANTs Ecosystem

May 10, 2019

Advanced Normalization Tools (ANTs, originating at sourceforge.net on 2008-06-26 and now residing at https://github.com/ANTsX/ANTs) is a computational framework for quantitative biological image analysis. ANTs was first created by Brian Avants, Nicholas Tustison, and Gang Song (now at Google) as a way to rapidly disseminate the latest methodological research to the community of scientists who depend on imaging analytics and the flexibility to study different organ systems, species or modalities all within the same computational framework. While originally focused on diffeomorphic image registration, ANTs grew to incorporate methods for segmentation, feature extraction and, more recently, evolved into a multi-package ecosystem featuring full statistical pipelines via ANTsR (https://github.com/ANTsX/ANTsR ), such as multiple modality inference of structural/functional relationships with... (more)

##### Organizing Committee

- Brian Avants
- Nick Tustison

##### An ICERM Public Lecture: What’s the big deal about calculus?

May 8, 2019

**THIS EVENT IS SOLD OUT**. However, you can watch the lecture real-time via live-stream on ICERM's website on the day of the event. Just go to our home page and click on the "Live Streaming" button at the top of the page. https//icerm.brown.edu

Everyone has heard of calculus, but why is it so important? Millions of high school and college students feel compelled to take calculus, but many would be hard-pressed to explain what the subject is about or why it matters. Some of their teachers might feel the same way.

In this talk, Iâ€™ll try to clarify the fantastic idea at the heart of calculus. With the help of pictures and stories, Iâ€™ll trace where calculus came from and then show how it â€“ in partnership with medicine, philosophy, science, and technology â€“ reshaped the course of civilization and helped make the world modern. This talk is intended for everyone, whether you've taken calculus or not, and whether you like math or not. By the... (more)

##### Optimization Methods in Computer Vision and Image Processing

Apr 29 - May 3, 2019

Optimization appears in many computer vision and image processing problems such as image restoration (denoising, inpainting, compressed sensing), multi-view reconstruction, shape from X, object detection, image segmentation, optical flow, matching, and network training. While there are formulations allowing for global optimal optimization, e.g. using convex objectives or exact combinatorial algorithms, many problems in computer vision and image processing require efficient approximation methods.

Optimization methods that are widely used range from graph-based techniques and convex relaxations to greedy approaches (e.g. gradient descent). Each method has different efficiency and optimality guarantees. The goal of this workshop is a broad discussion of mathematical models (objectives and constraints) and robust efficient optimization methods (exact or approximate, discrete or continuous) addressing existing issues and advancing the state of the art.

##### Organizing Committee

- Yuri Boykov
- Pedro Felzenszwalb
- Benar Fux Svaiter
- Olga Veksler

##### An ICERM Public Lecture - Bias in bios: fairness in a high-stakes machine-learning setting

Mar 21, 2019

Machine learning algorithms form biases, like humans, based on the data they observe. However, unlike humans, the algorithms can readily admit their biases when probed appropriately. Using publicly available lists of names, we enumerate biases in an unsupervised fashion from word embeddings trained on public data. Gender, racial, and religious biases emerge, among others. We then analyze the effects of these biases on a problem motivated by recommending jobs to candidates. To collect data for this task, we extract hundreds of thousands of third-person bios from the web. The straightforward application of machine learning is found to amplify some biases. However, unlike humans, it is easy to put in place algorithmic corrections to mitigate this bias amplification.

Joint work with: Maria De Arteaga (CMU); Alexey Romanov (UMass Lowell); Nat Swinger (Lexington HS); Tom Heffernan (Shrewsbury HS); Christian Borgs, Jennifer Chayes, and Hanna Wallach (MSR); Alex Chouldechova (CMU; Mark... (more)

##### Computational Imaging

Mar 18 - 22, 2019

Computational imaging involves the use of mathematical models and computational methods as part of imaging systems. Algorithms for image reconstruction have important applications, including in medical image analysis and imaging for the physical sciences. Classical approaches often involve solving large inverse problems using a variety of regularization methods and numerical algorithms.

Current research includes the development of new cameras and imaging methods, where the hardware system and the computational techniques used for image reconstruction are co-designed. New developments have been influenced by the introduction of novel techniques for compressed sensing and sparse reconstruction. The use of machine learning methods for designing a new generation of imaging systems has also been increasingly important.

Specific topics that will be discussed include: image reconstruction, computational photography, compressed sensing, machine learning methods, numerical optimization,... (more)

##### Organizing Committee

- Pedro Felzenszwalb
- Basilis Gidas

##### Modularity and 3-manifolds

Mar 8 - 10, 2019

A long-standing problem in quantum topology is to find a function, more precisely a q-series with integer coefficients, such that its limiting values at primitive roots of unity yield invariants of Witten and Reshetikhin-Turaev. In other words, such a function would be to 3-manifolds what the Jones polynomial is to knots. Somewhat surprisingly, recent physics developments suggest that, in order to solve this problem, one must associate to a 3-manifold not a single function (q-series), but rather a collection of functions. Very recently, based on both physical intuition and explicit computations, it was suggested that these 3-manifold invariants display (modified) modularity properties of various types and are related to number theoretic objects including mock and false theta functions and quantum modular forms. This workshop will bring experts from the fields of topology, physics and number theory together, with the goal of combining knowledge and computational skills and furthering... (more)

##### Organizing Committee

- Miranda Cheng
- Sergei Gukov

##### Image Description for Consumer and Overhead Imagery

Feb 25 - 26, 2019

Building systems that can understand visual concepts and describe them coherently in natural language is fundamental to artificial intelligence. Advances in machine learning have had profound impact on computer vision and natural language processing. There has been interesting progress in recent years at the intersection of these two fields, producing systems that describe (eg., caption) images and videos captured by personal cameras in ordinary scenes and street views. Much work remains in this and a host of related problems, including that of building natural language descriptions of commercial overhead imagery and videos, where automation is greatly needed: "If we were to attempt to manually exploit the commercial satellite imagery we expect to have over the next 20 years, we would need eight million imagery analysts" [Robert Cardillo, NGA Director, GEOINT Symposium 2017]. This workshop brings together researchers in machine learning, computer vision, natural language processing... (more)

##### Organizing Committee

- Trevor Darrell
- David Jacobs
- Triet Le
- Guillermo Sapiro
- Eric Xing

##### An ICERM Public Lecture: Discovering Black Holes and Gravitational Waves: Algorithms and Simulation

Feb 20, 2019

The equations of general relativity, Einstein's field equations, are among the most complicated partial differential equations in mathematical physics. These equations predict the existence of gravitational waves, which are propagating disturbances in spacetime itself. In 2016, the first direct observation of these waves from colliding black holes was reported on, a historic discovery that led to last years Nobel Prize. This discovery would not have been possible without intense interaction between physicists, mathematicians, and high-performance computing tools. Indeed, numerically solving Einstein's equations for the expected wave signal and the processing of gravitational-wave datasets was enabled by advances in algorithms, numerical methods, and access to large computing resources. In this talk, I will focus on the critical role all three played in making this historic discovery as well as summarizing current directions in computational relativity and gravitational-wave data... (more)

##### Theory and Practice in Machine Learning and Computer Vision

Feb 18 - 22, 2019

Recent advances in machine learning have had a profound impact on computer vision. Simultaneously, success in computer vision applications has rapidly increased our understanding of some machine learning techniques, especially their applicability. This workshop will bring together researchers who are building a stronger theoretical understanding of the foundations of machine learning with computer vision researchers who are advancing our understanding of machine learning in practice.

Much of the recent growth in the use of machine learning in computer vision has been spurred by advances in deep neural networks. At the same time, new advances in other areas of machine learning, including reinforcement learning, generative models, and optimization methods, hold great promise for future impact. These raise important fundamental questions, such as understanding what influences the ability of learning algorithms to generalize, understanding what causes optimization in learning to converge... (more)

##### Organizing Committee

- Ronen Basri
- Alex Berg
- David Jacobs