Search Results for author: Eric Mjolsness

Found 10 papers, 5 papers with code

Feynman on Artificial Intelligence and Machine Learning, with Updates

no code implementations31 Aug 2022 Eric Mjolsness

I present my recollections of Richard Feynman's mid-1980s interest in artificial intelligence and neural networks, set in the technical context of the physics-related approaches to neural networks of that time.

Physics-based machine learning for modeling stochastic IP3-dependent calcium dynamics

1 code implementation10 Sep 2021 Oliver K. Ernst, Tom Bartol, Terrence Sejnowski, Eric Mjolsness

We present a machine learning method for model reduction which incorporates domain-specific physics through candidate functions.

BIG-bench Machine Learning

Diff2Dist: Learning Spectrally Distinct Edge Functions, with Applications to Cell Morphology Analysis

no code implementations29 Jun 2021 Cory Braker Scott, Eric Mjolsness, Diane Oyen, Chie Kodera, David Bouchez, Magalie Uyttewaal

Because all steps involved in calculating this modified GDD are differentiable, we demonstrate that it is possible for a small neural network model to learn edge weights which minimize loss.

Descriptive

A dynamical system model for predicting gene expression from the epigenome

1 code implementation3 Aug 2020 James Brunner, Jacob Kim, Timothy Downing, Eric Mjolsness, Kord M. Kober

Despite active research, studies to date have focused on using statistical models to predict gene expression from methylation data.

Graph Prolongation Convolutional Networks: Explicitly Multiscale Machine Learning on Graphs with Applications to Modeling of Cytoskeleton

no code implementations14 Feb 2020 C. B. Scott, Eric Mjolsness

Using optimized linear projection operators to map between spatial scales of graph, this ensemble model learns to aggregate information from each scale for its final prediction.

BIG-bench Machine Learning

Novel diffusion-derived distance measures for graphs

no code implementations10 Sep 2019 C. B. Scott, Eric Mjolsness

Variants of the distance metric are introduced to consider such optimized maps under sparsity constraints as well as fixed time-scaling between the two Laplacians.

Deep Learning Moment Closure Approximations using Dynamic Boltzmann Distributions

1 code implementation28 May 2019 Oliver K. Ernst, Tom Bartol, Terrence Sejnowski, Eric Mjolsness

Moment closure methods are used to approximate a subset of low order moments by terminating the hierarchy at some order and replacing higher order terms with functions of lower order ones.

Multilevel Artificial Neural Network Training for Spatially Correlated Learning

1 code implementation14 Jun 2018 C. B. Scott, Eric Mjolsness

Multigrid modeling algorithms are a technique used to accelerate relaxation models running on a hierarchy of similar graphlike structures.

Prospects for Declarative Mathematical Modeling of Complex Biological Systems

no code implementations30 Apr 2018 Eric Mjolsness

Based on previous work, here we define declarative modeling of complex biological systems by defining the operator algebra semantics of an increasingly powerful series of declarative modeling languages including reaction-like dynamics of parameterized and extended objects; we define semantics-preserving implementation and semantics-approximating model reduction transformations; and we outline a "meta-hierarchy" for organizing declarative models and the mathematical methods that can fruitfully manipulate them.

Learning Dynamic Boltzmann Distributions as Reduced Models of Spatial Chemical Kinetics

1 code implementation2 Mar 2018 Oliver K. Ernst, Thomas Bartol, Terrence Sejnowski, Eric Mjolsness

Finding reduced models of spatially-distributed chemical reaction networks requires an estimation of which effective dynamics are relevant.

Biological Physics Statistical Mechanics

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