On April 10, 2019, a never-before-seen phenomenon was revealed thanks in part to the National Science Foundation (NSF), Event Horizon Telescope (EHT) researchers, and IPAM’s Director of Special Projects, Stan Osher. The first ever image of a black hole was an extraordinary feat accomplished by a team of over 200 researchers funded by NSF. Osher’s algorithm on Total Variation Denoising, created in 1992 with Leonid Rudin and Emad Fatemi, was a key factor in the success. Total Variation Restoration enables the clean reconstruction of noisy, blurry images – especially their piecewise constant regions. With the help of the total variation regularization algorithm, the EHT was able to “robustly and reasonably achieve super-resolution sufficient to clearly resolve the black hole shadow.” The EHT is a planet-scale array of eight ground-based radio telescopes forged through international collaboration and designed to capture images of a black hole. In addition to capturing the first image of a black hole, the Rudin-Osher-Fatemi model is used to identify waveforms from binary black hole events.

Researchers and past IPAM participants Antonio Marquina, Alejandro Torres-Forné, and Jose Antonio Font have expanded the use of the model for gravitational waves denoising and waveform reconstruction, which was highlighted during IPAM’s winter 2019 workshop on Computational Challenges in Gravitational Wave Astronomy. IPAM is delighted in Osher’s contribution and is looking forward to what’s next in this exciting field!

]]>Congratulations to the Society for Industrial and Applied Mathematics’ (SIAM) newest fellows! Twenty-eight distinguished members were chosen for advancing the fields of applied mathematics and computer science through their exemplary research and service to the community. IPAM would like to especially acknowledge the following IPAM affiliates:

- José Antonio Carrillo de la Plata (Imperial College London), organizer, speaker, and core participant of multiple long and short programs, including IPAM’s spring 2008 long program on Optimal Transport
- Jesus Antonio De Loera (University of California, Davis), core participant in IPAM’s 2010 long program, organizer for multiple workshops, and a plenary speaker at Latinx in the Mathematical Sciences Conference 2018
- Ron Kimmel (Technion – Israel Institute of Technology), organizer and speaker for multiple workshops, including IPAM’s spring 2019 long program on Geometry and Learning from Data in 3D and Beyond
- Gitta Kutyniok (Technische Universität Berlin), speaker for IPAM’s 2015 workshop on Machine Learning for Many-Particle Systems and organizer and speaker for IPAM’s upcoming 2020 workshop on Deep Learning and Medical Applications
- Juan C. Meza (University of California, Merced), member of IPAM’s Board of Trustees from 2009-2013 and speaker for IPAM’s 2010 workshop on Applications of Optimization in Science and Engineering
- Sebastian Reich (Universität Potsdam), core participant, workshop organizer and speaker for IPAM’s spring 2010 long program on Model and Data Hierarchies for Simulating and Understanding Climate, and speaker for IPAM’s 2017 workshop on Uncertainty Quantifications for Stochastic Systems and Applications
- Joel A. Tropp (California Institute of Technology), speaker and core participant for numerous long programs and workshops, most recently IPAM’s spring 2019 long program on Geometry and Learning from Data in 3D and Beyond
- Zuowei Shen (National University of Singapore), core participant for IPAM’s 2010 long fall program on Modern trends in Optimization and Its Application and speaker for multiple workshops, including IPAM’s upcoming 2019 workshop on Geometry of Big Data

LeCun is Silver Professor of Computer Science at NYU’s Courant Institute of Mathematical Sciences, founding director of NYU’s Center for Data Science, and vice president and chief AI scientist at Facebook. LeCun has been serving on IPAM’s Science Advisory Board since 2008. He has also been an organizer, speaker, and participant for numerous long and short programs at IPAM, including IPAM’s current long program, Geometry and Learning from Data in 3D and Beyond and the upcoming fall 2019 long program, Machine Learning for Physics and the Physics of Learning. LeCun has also been a speaker for IPAM’s Green Family Lecture Series.

Often referred to as the “Nobel Prize of Computing,” the A.M. Turing award has “honored the computer scientists and engineers who created the systems and underlying theoretical foundations that have propelled the information technology industry” since 1966. LeCun, Bengio, and Hinton will formally receive the 2018 ACM A.M. Turing Award at ACM’s annual awards banquet on Saturday, June 15, in San Francisco. Congratulations to Yann LeCun for this well-deserved honor and achievement!

]]>The Association for Women in Mathematics (AWM) has honored 23 members as AWM Fellows, Class of 2019. This is the second class of Fellows for AWM aiming to “recognize individuals who have demonstrated a sustained commitment to the support and advancement of women in the mathematical sciences.” AWM Fellows are by nomination only and are acknowledged at the annual Joint Mathematics Meetings. IPAM is proud to congratulate the following IPAM affiliates:

- Sun-Yung Alice Chang (Princeton), member of IPAM’s Science Advisory Board from 1999-2002
- Ingrid Daubechies (Duke), organizer and speaker for numerous IPAM workshops, most recently a speaker at the 2016 Green Family Lecture Series
- Edray Herber Goins (Pomona), panel speaker for 2018 Latinx in the Mathematical Sciences Conference
- Maria M. Klawe (Harvey Mudd), organizer for Institute for Women and Technology Leadership Workshop
- Alice Silverberg (UC Irvine), organizer for long program on Securing Cyberspace: Applications and Foundations of Cryptography and Computer Security
- Audrey Terras (UC San Diego), organizer and speaker for Automorphic Forms, Group Theory and Graph Expansion and Expanders in Pure and Applied Mathematics workshops
- Judy Leavitt Walker (University of Nebraska-Lincoln), organizer and speaker for 2016 Algebraic Geometry for Coding Theory and Cryptography workshop
- Ulrica Wilson (Morehouse College, ICERM), organizer for 2016 NSF Mathematics Institutes’ Modern Math Workshop

A complete list of 2019 Fellows can be found here.

]]>Congratulations to the 65 newest American Mathematical Society (AMS) Fellows! AMS Fellows are selected for their “outstanding contributions to the creation, exposition, advancement, communication, and utilization of mathematics” (AMS Journal). Fellows are nominated and chosen by AMS peers, and IPAM is proud to have the following IPAM affiliates in the Class of 2019:

- Christopher Bishop (Stony Brook University) was a speaker for IPAM’s workshop, Analysis and Geometry of Random Shapes.
- Stephan Ramon Garcia (Pomona College) was a core participant in IPAM’s 2018 spring long program, Quantitative Linear Algebra.
- Skip Garibaldi (Center for Communications Research, La Jolla) was an Associate Director at IPAM from 2013-2015.
- Andrew Neitzke (University of Texas at Austin) was an organizer and speaker for IPAM’s workshop, Gauge Theory and Categorification.
- Burt Totaro (University of California, Los Angeles) was a speaker for IPAM’s workshop, Braids, Resolvent Degree and Hilbert’s 13
^{th}Problem. - Zhenghan Wang (University of California, Santa Barbara) was an organizer for IPAM’s workshop, Quantum Computing Materials Challenges and a speaker for Symmetry and Topology in Quantum Matter.

The following Fellows were speakers, organizers, and core participants during IPAM’s 2014 long spring program, Algebraic Techniques for Combinatorial and Computational Geometry:

- Saugata Basu (Purdue University) was a core participant.
- Larry Guth (Massachusetts Institute of Technology) was a speaker for Workshop I and an organizer and speaker for Workshop III
- Harald Andrés Helfgott (Mathematics Institute, Georg-August University Göttingen, CNRS) was a speaker for Workshop IV.
- Alex Poltoratski (Texas A&M University) was a speaker for Workshop III.

Eskin was an organizer and core participant of IPAM’s 2011 fall long program, Mathematical and Computational Approaches in High-Throughput Genomics and a speaker in the 2018 workshop Algorithmic Challenges in Protecting Privacy for Biomedical Data. He is the PI and lead organizer of the Computational Genomics Summer Institute, which was an outcome of the IPAM long program, and chair of the new Computational Medicine department at UCLA.

]]>Congratulations to the 2019 Sloan Research Fellows! Among this year’s emerging leaders are Philip Isett, assistant professor at California Institute of Technology and speaker in IPAM’s 2017 workshop Turbulent Dissipation, Mixing and Predictability; Kathryn Mann, Manning Assistant Professor of Mathematics at Brown University and speaker in IPAM’s 2018 workshop, New Methods for Zimmer’s Conjecture; and Konstantin Tikhomirov, assistant professor at Georgia Institute of Technology and participant in IPAM’s 2018 long program Quantitative Linear Algebra. Announced by the Alfred P. Sloan Foundation, Sloan Research Fellows are selected, “on the basis of their independent research accomplishments, creativity, and potential to become leaders in the scientific community through their contributions to their field” (Sloan Website). Winners receive $70,000 to be spent within two years in support of their research. This year’s 126 winners came from a total of 8 scientific and technical fields. An entire list of 2019 fellows can be found here.

]]>On February 7, 2019, the National Academy of Engineering (NAE) announced 104 newly elected members. This is among the highest professional honors for engineers. Members are elected for their “contributions to ‘engineering research, practice, or education, including, where appropriate, significant contributions to the engineering literature’ and to ‘the pioneering of new and developing fields of technology, making major advancements in traditional fields of engineering, or developing/implementing innovative approaches to engineering education” (NAE Website). Those selected for the prestigious recognition will be inducted on October 6, 2019, at NAE’s annual meeting in Washington D.C. Among them is IPAM affiliate Claire Tomlin, Charles A. Desoer Chair and professor at the University of California, Berkeley. She was elected for her “contributions to design tools for safety-focused control of cyberphysical systems” (NAE Website). Claire has been a speaker in several IPAM workshops, a member of our Science Advisory Board from 2009 to 2015, and is an organizer of the upcoming spring 2020 long program, High Dimensional Hamilton-Jacobi PDEs. She also gave one of IPAM’s 10th Anniversary Lectures.

]]>Four undergraduate participants of IPAM’s Research in Industrial Projects for Students (RIPS) Program presented their research at the 21^{st} Annual Nebraska Conference for Undergraduate Women in Mathematics (NCUWM), held January 25 – 27, 2019, in Lincoln, Nebraska. The conference is a program for undergraduate women to connect with other women of all professional levels in the mathematical sciences, and “to arm participants with knowledge, self-confidence and a network of peers to help them become successful mathematicians” (NCUWM Website). The 2018 RIPS women who presented at the conference included Amanda McAdams representing the Lawrence Livermore National Laboratory team, Giulia Pintea representing the UNC Lineberger Comprehensive Cancer Center team, Fatima Zaidouni representing the Google LA team, and Julie Zhang representing the Aerospace Corporation team. IPAM would like to give a big thanks to Claudia Falcon, RIPS academic mentor and UCLA postdoc, who represented IPAM at the conference and supported the 2018 RIPS women in attendance.

IPAM’s 2018 RIPS and GRIPS alumni were well represented at the 2019 Joint Mathematics Meetings. A total of seventeen student researchers from the Los Angeles, Hong Kong, and Sendai programs attended the conference in Baltimore, Maryland on January 16-18, 2019; they presented 7 posters and gave 7 talks. Many of the poster presentations were honored with the “Outstanding Poster Award” at the MAA Undergraduate Student Poster Session. Those teams recognized were AECOM represented by Owen Levin, The Aerospace Corporation represented by Julie Zhang and Marvin Pena, Air Force Research Lab represented by Colleen Chan, Gal Dimand, and Aaron George, Google represented by Edgar Robles and Fatima Zaidouni, Lawrence Livermore National Laboratory represented by Bernardo Hernandez and Amanda McAdams, and RealAI represented by Katherine Thai. Nearly 400 posters were presented during the session. Congratulations to the 2018 RIPS participants on your exceptional hard work!

]]>Computing has revolutionized science: simulation, or model-based computing, has allowed us to investigate phenomena much more complex than theoretical analysis alone can access, and now data-based computing is allowing us to more effectively explore, understand, and use data resulting from experiments, observation, and simulation. The simulation community has for long driven High Performance Computing (HPC), and the data science community has driven the Big Data (BD) revolution. These two computing approaches have usually been addressed independently, but the need for HPC in data-based computing and the overwhelming availability of data in model-based computing indicates that the *integration of HPC and BD* can form even stronger links between theory and experiment or observation, a bridge enabling the fusion of the two communities’ methodologies. By hosting this Long Program, IPAM took a lead in fostering fruitful conversations across a range of scientific disciplines, allowing the mathematical and neighboring sciences communities to consider this topic of groundbreaking potential both in a deeper and a broader manner.

This convergence comes at a critical time. We are entering a period where we have the capability to transition from interpretive qualitative models to truly predictive quantitative models of complex systems through computing. However, to realize this goal, we must deal with increasing complexity in models, algorithms, software, and hardware. The exponential growth in computing capability driven by Moore’s law is stalling, and HPC hardware architectures are necessarily becoming more complex. Accordingly, to implement the more complex models as well as to make good use of these new architectures, algorithms are becoming more complex, too. The fusion of theory- and data-based computing concepts will help tame this complexity and access more of the available computing power.

The new computational science, which will advance by leveraging the best of simulation and data science, is not, however, a foregone conclusion. Much work remains to be done. To further advance scientific understanding through data analysis techniques such as Machine Learning (ML), methods must be devised to exploit domain knowledge and to enable the interpretation of ML-derived models. Information integration is a paramount step towards a predictive science, but existing approaches have limitations that become evident in large-scale applications. The logistics of data management are not to be overlooked as an area in need of advances; data must be findable, accessible, interoperable, and re-usable to enable this theory- and data-driven future. Data and information are not the same thing, and we must make judicious use of all forms of data reduction techniques to preserve the information content efficiently. Finally, both the changing hardware landscape and the increased availability and use of data will require the development of new algorithms. In this report, we summarize the ideas that came up during at the many discussions during the IPAM Long Program, describing in more detail these topics and the outlook for a new computational science paradigm.

Read the full report.

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