Search Results for author: Dmitriy Morozov

Found 9 papers, 2 papers with code

Data-Efficient Operator Learning via Unsupervised Pretraining and In-Context Learning

no code implementations24 Feb 2024 Wuyang Chen, Jialin Song, Pu Ren, Shashank Subramanian, Dmitriy Morozov, Michael W. Mahoney

To reduce the need for training data with simulated solutions, we pretrain neural operators on unlabeled PDE data using reconstruction-based proxy tasks.

In-Context Learning Operator learning

Robustifying State-space Models for Long Sequences via Approximate Diagonalization

no code implementations2 Oct 2023 Annan Yu, Arnur Nigmetov, Dmitriy Morozov, Michael W. Mahoney, N. Benjamin Erichson

An example is the structured state-space sequence (S4) layer, which uses the diagonal-plus-low-rank structure of the HiPPO initialization framework.

Computational Efficiency

Topological Regularization via Persistence-Sensitive Optimization

no code implementations10 Nov 2020 Arnur Nigmetov, Aditi S. Krishnapriyan, Nicole Sanderson, Dmitriy Morozov

Optimization, a key tool in machine learning and statistics, relies on regularization to reduce overfitting.

PersGNN: Applying Topological Data Analysis and Geometric Deep Learning to Structure-Based Protein Function Prediction

no code implementations30 Oct 2020 Nicolas Swenson, Aditi S. Krishnapriyan, Aydin Buluc, Dmitriy Morozov, Katherine Yelick

Understanding protein structure-function relationships is a key challenge in computational biology, with applications across the biotechnology and pharmaceutical industries.

Graph Representation Learning Protein Function Prediction +1

Topological Descriptors Help Predict Guest Adsorption in Nanoporous Materials

no code implementations16 Jan 2020 Aditi S. Krishnapriyan, Maciej Haranczyk, Dmitriy Morozov

Our results not only show a considerable improvement compared to the baseline, but they also highlight that topological features capture information complementary to the structural features: this is especially important for the adsorption at low pressure, a task particularly difficult for the traditional features.

Feature Importance Topological Data Analysis

Cosmic Inference: Constraining Parameters With Observations and Highly Limited Number of Simulations

no code implementations17 May 2019 Timur Takhtaganov, Zarija Lukic, Juliane Mueller, Dmitriy Morozov

Cosmological probes pose an inverse problem where the measurement result is obtained through observations, and the objective is to infer values of model parameters which characterize the underlying physical system -- our Universe.

Instrumentation and Methods for Astrophysics Cosmology and Nongalactic Astrophysics

Communication-Avoiding Optimization Methods for Distributed Massive-Scale Sparse Inverse Covariance Estimation

1 code implementation30 Oct 2017 Penporn Koanantakool, Alnur Ali, Ariful Azad, Aydin Buluc, Dmitriy Morozov, Leonid Oliker, Katherine Yelick, Sang-Yun Oh

Across a variety of scientific disciplines, sparse inverse covariance estimation is a popular tool for capturing the underlying dependency relationships in multivariate data.

Clustering

Dualities in persistent (co)homology

1 code implementation28 Jul 2011 Vin de Silva, Dmitriy Morozov, Mikael Vejdemo-Johansson

We consider sequences of absolute and relative homology and cohomology groups that arise naturally for a filtered cell complex.

Algebraic Topology Computational Geometry

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