The specious art of single-cell genomics

T Chari, L Pachter - PLOS Computational Biology, 2023 - journals.plos.org
Dimensionality reduction is standard practice for filtering noise and identifying relevant
features in large-scale data analyses. In biology, single-cell genomics studies typically begin …

Deep simplex classifier for maximizing the margin in both euclidean and angular spaces

H Cevikalp, H Saribas - Scandinavian Conference on Image Analysis, 2023 - Springer
The classification loss functions used in deep neural network classifiers can be grouped into
two categories based on maximizing the margin in either Euclidean or angular spaces …

Reaching nirvana: Maximizing the margin in both Euclidean and angular spaces for deep neural network classification

H Cevikalp, H Saribas, B Uzun - IEEE Transactions on Neural …, 2024 - ieeexplore.ieee.org
The classification loss functions used in deep neural network classifiers can be split into two
categories based on maximizing the margin in either Euclidean or angular spaces …

Bounding the size of an almost-equidistant set in Euclidean space

A Kupavskii, NH Mustafa… - … Probability and Computing, 2019 - cambridge.org
Bounding the Size of an Almost-Equidistant Set in Euclidean Space Page 1 Combinatorics,
Probability and Computing (2019) 28, 280–286. c Cambridge University Press 2018 doi:10.1017/S0963548318000287 …

[PDF][PDF] Perturbing the Genome: From Bench to Biophysics

T Chari - 2024 - thesis.library.caltech.edu
In single-cell genomics, we can simultaneously assay hundreds of thousands of cells, their
molecular contents, and how they respond to perturbation, from genetic knockouts to …

[HTML][HTML] On almost-equidistant sets

A Polyanskii - Linear Algebra and its Applications, 2019 - Elsevier
On almost-equidistant sets - ScienceDirect Skip to main contentSkip to article Elsevier logo
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Amiable and almost amiable fixed sets. Extension of the brouwer fixed point theorem

JF Peters - Glasnik matematički, 2021 - hrcak.srce.hr
Sažetak This paper introduces shape boundary regions in descriptive proximity forms of CW
(Closure-finite Weak) spaces as a source of amiable fixed subsets as well as almost amiable …

On almost-equidistant sets-II

A Polyanskii - arXiv preprint arXiv:1708.02039, 2017 - arxiv.org
A set in $\mathbb R^ d $ is called almost-equidistant if for any three distinct points in the set,
some two are at unit distance apart. First, we give a short proof of the result of Bezdek and …

[PDF][PDF] The Specious Art of Single-Cell Genomics Supplementary Material

LD Distortion, D Tables - 2021 - authors.library.caltech.edu
Supplementary Figure 1: Principal Components of Equidistant Points. a) First and second
principal components shown for varying numbers of equidistant points, ie the In identity …

[PDF][PDF] Equidistant sets

D Velichová - ročník 17, číslo 34, 2020 ISSN 1336-524X, 2020 - ssgg.sk
Basic concept of an equidistant set to a manifold reveals a bundle of problems connected to
intrinsic geometric properties of the resulting geometric figure. Interesting problems of …