Publications

Brofos, James A; Lederman, Roy R

Magnetic Manifold Hamiltonian Monte Carlo Technical Report

2020, (arXiv: 2010.07753).

Abstract | Links | BibTeX | Tags: Algorithms, Computer Science - Machine Learning, HMC, Manifolds, MCMC, Statistics - Machine Learning

Katz, Ori; Lederman, Roy R; Talmon, Ronen

Spectral Flow on the Manifold of SPD Matrices for Multimodal Data Processing Technical Report

2020, (arXiv: 2009.08062).

Abstract | Links | BibTeX | Tags: Common variable, Computer Science - Machine Learning, Manifold Learning, Multi-view, multimodal, SPD Matrices, Statistics - Machine Learning

Bandeira, Afonso S; Chen, Yutong; Lederman, Roy R; Singer, Amit

Non-unique games over compact groups and orientation estimation in cryo-EM Journal Article

Inverse Problems, 36 (6), pp. 064002, 2020, ISSN: 0266-5611, 1361-6420.

Links | BibTeX | Tags: Algorithms, cryo-EM, Non-unique games, Representation Theory

Lederman, Roy R; Andén, Joakim; Singer, Amit

Hyper-molecules: on the representation and recovery of dynamical structures for applications in flexible macro-molecules in cryo-EM Journal Article

Inverse Problems, 36 (4), pp. 044005, 2020, ISSN: 0266-5611, 1361-6420.

Links | BibTeX | Tags: cryo-EM, HyperMolecules

Brofos, James A; Lederman, Roy R

Non-Canonical Hamiltonian Monte Carlo Technical Report

2020, (arXiv: 2008.08191).

Abstract | Links | BibTeX | Tags: Algorithms, Computer Science - Machine Learning, HMC, MCMC, Statistics - Machine Learning

Lederman, Roy R; Steinerberger, S

Extreme Values of the Fiedler Vector on Trees Technical Report

2019, (arXiv: 1912.08327).

Abstract | Links | BibTeX | Tags: Computer Science - Discrete Mathematics, Graph Theory, Mathematics - Combinatorics, Mathematics - Spectral Theory

Brofos, James A; Shu, Rui; Lederman, Roy R

A Bias-Variance Decomposition for Bayesian Deep Learning Inproceedings

pp. 14, 2019.

Abstract | BibTeX | Tags: Bayesian Deep Learning, Bayesian Inference, Deep Learning

Lederman, Roy R; Singer, Amit

A representation theory perspective on simultaneous alignment and classification Journal Article

Applied and Computational Harmonic Analysis, pp. S1063520319301034, 2019, ISSN: 10635203.

Links | BibTeX | Tags: Algorithms, cryo-EM, Non-unique games, Representation Theory

Shnitzer, Tal; Lederman, Roy R; Liu, Gi-Ren; Talmon, Ronen; Wu, Hau-Tieng

Diffusion operators for multimodal data analysis Incollection

Handbook of Numerical Analysis, 20 , pp. 1–39, Elsevier, 2019, ISBN: 978-0-444-64140-3.

Links | BibTeX | Tags: Alternating Diffusion, BookChapter, Common variable, diffusion maps, Manifold Learning, Multi-view, multimodal, Multimodal data, Sensor fusion, Shape differences

Lederman, Roy R; Talmon, Ronen

Learning the geometry of common latent variables using alternating-diffusion Journal Article

Applied and Computational Harmonic Analysis, 44 (3), pp. 509–536, 2018, ISSN: 1063-5203.

Abstract | Links | BibTeX | Tags: Algorithms, Alternating Diffusion, Alternating-diffusion, Common variable, diffusion maps, Diffusion-maps, Multi-view, multimodal, Multimodal analysis, test

Shaham, Uri; Lederman, Roy R

Learning by coincidence: Siamese networks and common variable learning Journal Article

Pattern Recognition, 74 , pp. 52–63, 2018, ISSN: 00313203.

Links | BibTeX | Tags: Common variable, Deep Learning, Multi-view, multimodal, Siamese networks

Aldroubi, Akram; Huang, Longxiu; Krishtal, Ilya; Ledeczi, Akos; Lederman, Roy R; Volgyesi, Peter

Dynamical sampling with additive random noise Journal Article

arXiv:1807.10866 [math], 2018, (arXiv: 1807.10866).

Abstract | Links | BibTeX | Tags: Mathematics - Numerical Analysis

Lederman, Roy R

Numerical Algorithms for the Computation of Generalized Prolate Spheroidal Functions Technical Report

2017.

Abstract | Links | BibTeX | Tags: Algorithms, cryo-EM, Fourier Transform, Numerical Analysis, Prolate, Slepian, Software

Lederman, Roy R; Singer, Amit

Continuously heterogeneous hyper-objects in cryo-EM and 3-Đ movies of many temporal dimensions Journal Article

arXiv:1704.02899 [cs], 2017, (arXiv: 1704.02899).

Abstract | Links | BibTeX | Tags: Computer Science - Computer Vision and Pattern Recognition, cryo-EM, heterogeneity, HyperMolecules

Lederman, Roy R; Steinerberger, Stefan

Lower Bounds for Truncated Fourier and Laplace Transforms Journal Article

Integral Equations and Operator Theory, 87 (4), pp. 529–543, 2017, ISSN: 0378-620X, 1420-8989.

Links | BibTeX | Tags: Fourier Transform, Laplace Transform

Stanton, Kelly P; Jin, Jiaqi; Lederman, Roy R; Weissman, Sherman M; Kluger, Yuval

Ritornello: high fidelity control-free chromatin immunoprecipitation peak calling Journal Article

Nucleic Acids Research, 45 (21), pp. e173–e173, 2017, ISSN: 0305-1048, (Publisher: Oxford Academic).

Abstract | Links | BibTeX | Tags: DNA sequencing, Sequencing, Software

Aldroubi, Akram; Huang, Longxiu; Krishtal, Ilya; Lederman, Roy R

Dynamical sampling with random noise Inproceedings

2017 International Conference on Sampling Theory and Applications (SampTA), pp. 409–412, IEEE, Tallin, Estonia, 2017, ISBN: 978-1-5386-1565-2.

Links | BibTeX | Tags: Dynamical Sampling

Lederman, Roy R; Steinerberger, Stefan

Stability Estimates for Truncated Fourier and Laplace Transforms Journal Article

2016.

Abstract | Links | BibTeX | Tags: Laplace Transform

Lederman, Roy R; Rokhlin, V

On the Analytical and Numerical Properties of the Truncated Laplace Transform. Part II Journal Article

SIAM Journal on Numerical Analysis, 54 (2), pp. 665–687, 2016, ISSN: 0036-1429, 1095-7170.

Links | BibTeX | Tags: Algorithms, Laplace Transform, Numerical Analysis

Shaham, Uri; Lederman, Roy R

Common Variable Learning and Invariant Representation Learning using Siamese Neural Networks Technical Report

2015.

Abstract | Links | BibTeX | Tags: Common variable, Deep Learning, Multi-view

Lederman, Roy R; Talmon, Ronen; Wu, Hau-tieng; Lo, Yu-Lun; Coifman, Ronald R

Alternating diffusion for common manifold learning with application to sleep stage assessment Inproceedings

2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 5758–5762, 2015, (ISSN: 2379-190X).

Abstract | Links | BibTeX | Tags: Alternating Diffusion, Common variable, diffusion maps, Kernel, learning (artificial intelligence), Manifolds, multimodal, multimodal respiratory signals, multimodal signal processing, Physiology, Sensitivity, Sensor phenomena and characterization, signal processing, sleep, sleep stage assessment, standard manifold learning method, time series

Lederman, Roy R; Rokhlin, V

On the Analytical and Numerical Properties of the Truncated Laplace Transform I. Journal Article

SIAM Journal on Numerical Analysis, 53 (3), pp. 1214–1235, 2015, ISSN: 0036-1429, 1095-7170.

Links | BibTeX | Tags: Algorithms, Laplace Transform, Numerical Analysis

Lederman, Roy R; Talmon, Ronen

Common Manifold Learning Using Alternating-Diffusion Technical Report

Yale CS (YALEU/DCS/TR-1497), 2014.

Links | BibTeX | Tags: AD, Algorithms, Alternating Diffusion, Manifold Learning

Lederman, Roy R

On the Analytical and Numerical Properties of the Truncated Laplace Transform Technical Report

Yale CS (YALEU/DCS/TR-1490), 2014.

BibTeX | Tags: Algorithms, Laplace Transform, Numerical Analysis

Lederman, Roy R

A permutations-based algorithm for fast alignment of long paired-end reads Technical Report

Yale CS (YALEU/DCS/TR-1474), 2013.

BibTeX | Tags: Algorithms, DNA sequencing, Fast algorithms, Randomized algorithms, Sequencing

Lederman, Roy R

A Note about the Resolution-Length Characteristics of DNA Technical Report

Yale CS (YALEU/DCS/TR-1473), 2013.

BibTeX | Tags: Sequence Alignment, Sequencing

Lederman, Roy R

Building approximate overlap graphs for DNA assembly using random-permutations-based search Technical Report

Yale CS (YALEU/DCS/TR-1470), 2012.

BibTeX | Tags: DNA sequencing, Sequencing

Lederman, Roy R

Homopolymer Length Filters Technical Report

Yale CS (YALEU/DCS/TR-1465), 2012.

BibTeX | Tags: Algorithms, DNA sequencing, Sequence Alignment, Sequencing