Search Results for author: Sanjukta Krishnagopal

Found 8 papers, 4 papers with code

Graph Neural Tangent Kernel: Convergence on Large Graphs

no code implementations25 Jan 2023 Sanjukta Krishnagopal, Luana Ruiz

We use graphons to define limit objects -- graphon NNs for GNNs, and graphon NTKs for GNTKs -- , and prove that, on a sequence of graphs, the GNTKs converge to the graphon NTK.

Node Classification regression

Encoding priors in the brain: a reinforcement learning model for mouse decision making

no code implementations10 Dec 2021 Sanjukta Krishnagopal, Peter Latham

The grating is often low in contrast which makes the task relatively difficult, and the prior probability that the grating appears on the right is either 80% or 20%, in (unsignaled) blocks of about 50 trials.

Decision Making reinforcement-learning +1

Stroke recovery phenotyping through network trajectory approaches and graph neural networks

no code implementations29 Sep 2021 Sanjukta Krishnagopal, Keith Lohse, Robynne Braun

To demonstrate the utility of this approach, we analyzed data from the NINDS tPA trial using the Trajectory Profile Clustering (TPC) method to identify distinct stroke recovery patterns for 11 different neurological domains at 5 discrete time points.

Clustering

Encoded Prior Sliced Wasserstein AutoEncoder for learning latent manifold representations

1 code implementation2 Oct 2020 Sanjukta Krishnagopal, Jacob Bedrossian

While variational autoencoders have been successful in several tasks, the use of conventional priors are limited in their ability to encode the underlying structure of input data.

Total Energy

Multi-layer Trajectory Clustering: A Network Algorithm for Disease Subtyping

1 code implementation29 May 2020 Sanjukta Krishnagopal

Many diseases display heterogeneity in clinical features and their progression, indicative of the existence of disease subtypes.

Clustering Trajectory Clustering +1

Separation of Chaotic Signals by Reservoir Computing

1 code implementation18 Oct 2019 Sanjukta Krishnagopal, Michelle Girvan, Edward Ott, Brian Hunt

Indeed, our method works well when the component frequency spectra are indistinguishable - a case where a Wiener filter performs essentially no separation.

Identifying and Predicting Parkinson's Disease Subtypes through Trajectory Clustering via Bipartite Networks

1 code implementation12 Jun 2019 Sanjukta Krishnagopal, Rainer Von Coelln, Lisa M. Shulman, Michelle Girvan

In summary, using PD as a model for chronic progressive diseases, we show that TPC leverages high-dimensional longitudinal datasets for subtype identification and early prediction of individual disease subtype.

Applications Dynamical Systems Biological Physics Data Analysis, Statistics and Probability

Generalization of Learning using Reservoir Computing

no code implementations ICLR 2018 Sanjukta Krishnagopal, Yiannis Aloimonos, Michelle Girvan

Thus, as opposed to training the entire high dimensional reservoir state, the reservoir only needs to train on these unique relationships, allowing the reservoir to perform well with very few training examples.

Clustering

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