The visual cortex has a distinctive deep hierarchical organization as a result of ontogenetic and phylogenetic optimization. It is unclear what the factors are that shape this particular hierarchical organization. One factor is the compositional and hierarchical nature of our world’s appearance, which may be optimally processed by a hierarchical visual system. Another factor is the need for space and energy efficiency, which constrains the number of neurons and connections. The project will employ computational modeling to understand the contribution of these constraints to shaping the combination of breadth, depth, and skipping connections employed by primate visual cortex.

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Effective representations and analyses of symbolic data, such as lexical data (words) and networks (graphs), have become of great interest in recent years, due both to advancements in data collection in Natural Language Processing (NLP), and the ubiquity of social networks. Such data often has no natural numerical representation, and is typically described in terms relational expressions or as pairwise similarities. It turns out that finding numerical representations of such data in “Hyperbolic” spaces—rather than into the more familiar Euclidean spaces—is a more effective way to preserve valuable relational information.

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Finding the exact counterpart galaxies to merging black hole binaries detected in gravitational waves is one of the most pressing problems in cosmology. The redshift of the host galaxy (which has to be measured from its electromagnetic emission) combined with the luminosity distance to the gravitational wave source allows for a direct measurement of the expansion history of the Universe, an approach commonly referred to as the ‘Standard Siren’ method. To date, there are no proven techniques for accomplishing this goal.

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Injury, such as falls, motor vehicle crashes, and drug overdose, is a major source of morbidity and mortality. The interaction between injury and disease is complex and mutually causative. For instance, patients with Alzheimer’s Disease or Parkinson’s Disease are known to be at heightened risk of hip fracture from falls and in turn injurious falls among these patients can drastically alter the trajectory of the disease. So far, research on injury-disease interaction has been scant and fragmented. The proposed project is aimed at uncovering the gestalt of the relations between different injuries and different diseases through a data science approach.

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The objective is to use new large cloud-resolving simulations to try and better represent cloud processes in coarse-resolution climate models (~100km in horizontal resolution). Those simulations are global (spanning the entire globe) at 2km resolution and 30-minute output. The data will be hosted on google cloud platform (Pangeo) (the data size is about 50TB). We will in particular evaluate the impact of using Constitutional Neural Network (in time and space) and the capacity for out of sample prediction.

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Columbia Data Science Institute (DSI) Scholars Program

The DSI Scholars Program is to engage and support undergraduate and master students in participating data science related research with Columbia faculty. The program’s unique enrichment activities will foster a learning and collaborative community in data science at Columbia.

Columbia University DSI

New York, NY