Search Results - "Glasgow, Margalit"
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1
Determination of RNA structural diversity and its role in HIV-1 RNA splicing
Published in Nature (London) (18-06-2020)“…Human immunodeficiency virus 1 (HIV-1) is a retrovirus with a ten-kilobase single-stranded RNA genome. HIV-1 must express all of its gene products from a…”
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Journal Article -
2
Approximate Gradient Coding With Optimal Decoding
Published in IEEE journal on selected areas in information theory (01-09-2021)“…Gradient codes use data replication to mitigate the effect of straggling machines in distributed machine learning. Approximate gradient codes consider codes…”
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Journal Article -
3
On the rank, Kernel, and core of sparse random graphs
Published in Random structures & algorithms (01-12-2024)“…We study the rank of the adjacency matrix A$$ A $$ of a random Erdős‐Rényi graph G∼𝔾(n,p). It is well known that when p=(log(n)−ω(1))/n$$ p=\left(\log…”
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Journal Article -
4
Feature Learning in Neural Networks and Other Stochastic Explorations
Published 01-01-2024“…Recent years have empirically demonstrated the unprecedented success of deep learning. Yet our theoretical understanding of why gradient descent succeeds in…”
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Dissertation -
5
SGD Finds then Tunes Features in Two-Layer Neural Networks with near-Optimal Sample Complexity: A Case Study in the XOR problem
Published 26-09-2023“…In this work, we consider the optimization process of minibatch stochastic gradient descent (SGD) on a 2-layer neural network with data separated by a…”
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Journal Article -
6
Author Correction: Determination of RNA structural diversity and its role in HIV-1 RNA splicing
Published in Nature (London) (10-12-2020)“…An amendment to this paper has been published and can be accessed via a link at the top of the paper…”
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Journal Article -
7
Convergence of Distributed Adaptive Optimization with Local Updates
Published 19-09-2024“…We study distributed adaptive algorithms with local updates (intermittent communication). Despite the great empirical success of adaptive methods in…”
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Journal Article -
8
Invertibility of the 3-core of Erdos Renyi Graphs with Growing Degree
Published 02-06-2021“…Let $A \in \mathbb{R}^{n \times n}$ be the adjacency matrix of an Erd\H{o}s R\'enyi graph $G(n, d/n)$ for $d = \omega(1)$ and $d \leq 3\log(n)$. We show that…”
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Journal Article -
9
Tight Bounds for $\gamma$-Regret via the Decision-Estimation Coefficient
Published 06-03-2023“…In this work, we give a statistical characterization of the $\gamma$-regret for arbitrary structured bandit problems, the regret which arises when comparing…”
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Journal Article -
10
Approximate Gradient Coding with Optimal Decoding
Published in 2021 IEEE International Symposium on Information Theory (ISIT) (12-07-2021)“…In distributed optimization problems, a technique called gradient coding, which involves replicating data points, has been used to mitigate the effect of…”
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Conference Proceeding -
11
Approximate Gradient Coding with Optimal Decoding
Published 06-08-2021“…In distributed optimization problems, a technique called gradient coding, which involves replicating data points, has been used to mitigate the effect of…”
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Journal Article -
12
Asynchronous Distributed Optimization with Stochastic Delays
Published 22-09-2020“…We study asynchronous finite sum minimization in a distributed-data setting with a central parameter server. While asynchrony is well understood in parallel…”
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Journal Article -
13
A central limit theorem for the matching number of a sparse random graph
Published 08-02-2024“…In 1981, Karp and Sipser proved a law of large numbers for the matching number of a sparse Erd\H{o}s-R\'enyi random graph, in an influential paper pioneering…”
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Journal Article -
14
Sharp Bounds for Federated Averaging (Local SGD) and Continuous Perspective
Published 05-11-2021“…Federated Averaging (FedAvg), also known as Local SGD, is one of the most popular algorithms in Federated Learning (FL). Despite its simplicity and popularity,…”
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Journal Article -
15
The Exact Rank of Sparse Random Graphs
Published 09-03-2023“…Two landmark results in combinatorial random matrix theory, due to Koml\'os and Costello-Tao-Vu, show that discrete random matrices and symmetric discrete…”
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Journal Article -
16
On the Rank, Kernel, and Core of Sparse Random Graphs
Published 25-05-2021“…We study the rank of the adjacency matrix $A$ of a random Erdos Renyi graph $G\sim \mathbb{G}(n,p)$. It is well known that when $p = (\log(n) - \omega(1))/n$,…”
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Journal Article -
17
Feature Dropout: Revisiting the Role of Augmentations in Contrastive Learning
Published 16-12-2022“…What role do augmentations play in contrastive learning? Recent work suggests that good augmentations are label-preserving with respect to a specific…”
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Journal Article -
18
Max-Margin Works while Large Margin Fails: Generalization without Uniform Convergence
Published 15-06-2022“…A major challenge in modern machine learning is theoretically understanding the generalization properties of overparameterized models. Many existing tools rely…”
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Journal Article -
19
The Limits and Potentials of Local SGD for Distributed Heterogeneous Learning with Intermittent Communication
Published 19-05-2024“…Local SGD is a popular optimization method in distributed learning, often outperforming other algorithms in practice, including mini-batch SGD. Despite this…”
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Journal Article -
20
Beyond NTK with Vanilla Gradient Descent: A Mean-Field Analysis of Neural Networks with Polynomial Width, Samples, and Time
Published 28-06-2023“…Despite recent theoretical progress on the non-convex optimization of two-layer neural networks, it is still an open question whether gradient descent on…”
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Journal Article