Browsing by Title
Now showing items 106348-106367 of 142676
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Random matrix theory for complexity growth and black hole interiors
(Springer Berlin Heidelberg, 2022-01-05)Abstract We study a precise and computationally tractable notion of operator complexity in holographic quantum theories, including the ensemble dual of Jackiw-Teitelboim gravity and ... -
Random matrix theory, numerical computation and applications
(2013-01)This paper serves to prove the thesis that a computational trick can open entirely new approaches to theory. We illustrate this by describ- ing such random matrix techniques as the stochastic operator approach, the method ... -
Random maximal isotropic subspaces and Selmer groups
(American Mathematical Society, 2012-07)Under suitable hypotheses, we construct a probability measure on the set of closed maximal isotropic subspaces of a locally compact quadratic space over F[subscript p]. A random subspace chosen with respect to this measure ... -
Random obtuse triangles and convex quadrilaterals
(Massachusetts Institute of Technology, 2009)We intend to discuss in detail two well known geometrical probability problems. The first one deals with finding the probability that a random triangle is obtuse in nature. We initially discuss the various ways of choosing ... -
Random partitions and the quantum Benjamin-Ono hierarchy
(Massachusetts Institute of Technology, 2016)Stanley's Cauchy identity for Jack symmetric functions defines a Jack measure, a model random partitions for every analytic real function v(w) on the unit circle and parameters E2 < 0 < E1. Jacks are eigenfunctions of the ... -
Random phase codes for Doppler weather radars
(Massachusetts Institute of Technology, 1983) -
Random planar matching and bin packing
(Massachusetts Institute of Technology, 1985) -
Random pulse modulation with applications to power electronic converters
(Massachusetts Institute of Technology, 1993) -
Random sequences rapidly evolve into de novo promoters
(Nature Publishing Group, 2018-04)How new functions arise de novo is a fundamental question in evolution. We studied de novo evolution of promoters in Escherichia coli by replacing the lac promoter with various random sequences of the same size (∼100 bp) ... -
Random Sequential Encoders for Private Data Release in NLP
(Massachusetts Institute of Technology, 2022-05)There are many scenarios that motivate data owners to outsource the training of machine learning models on their data to external model developers. While doing so, it is of data owners’ best interests to keep their data ... -
A Random Server Model for Private Information Retrieval (or Information Theoretic PIR Avoiding Database Replication
(1997-04)Private information retrieval (PIR) schemes provide a user with information from a database while keeping his query secret from the database manager. We propose a new model for PIR, utilizing auxiliary random servers ... -
Random shuffling beats SGD after finite epochs
(2019-06)A long-standing problem in optimization is proving that RANDOMSHUFFLE, the without-replacement version of SGD, converges faster than (the usual) with-replacement SGD. Building upon (Giirbiizbalaban et al., 2015b), we present ... -
Random sketching, clustering, and short-term memory in spiking neural networks
(2020)© Yael Hitron, Nancy Lynch, Cameron Musco, and Merav Parter. We study input compression in a biologically inspired model of neural computation. We demonstrate that a network consisting of a random projection step (implemented ... -
Random sorting networks: local statistics via random matrix laws
(Springer Berlin Heidelberg, 2019-10)This paper finds the bulk local limit of the swap process of uniformly random sorting networks. The limit object is defined through a deterministic procedure, a local version of the Edelman–Greene algorithm, applied to a ... -
Random surface interpretations of two-dimensional Liouville quantum gravity and Yang-Mills theory
(Massachusetts Institute of Technology, 2022-05)The theory of random surfaces (or "sums over surfaces") has its historical roots in quantum gravity, string theory, statistical physics, and combinatorics. This thesis explores random surfaces in two settings: one related ... -
Random theory of turbulence
(Massachusetts Institute of Technology, 1962) -
Random tilings : gap probabilities, local and global asymptotics
(Massachusetts Institute of Technology, 2017)In the thesis we explore and develop two different approaches to the study of random tiling models. First, we consider tilings of a hexagon by rombi, viewed as 3D random stepped surfaces with a measure proportional to ... -
Random Tree Optimization for the Construction of the Most Parsimonious Phylogenetic Trees
(Institute of Electrical and Electronics Engineers, 2009-06)With the availability of ever-increasing gene sequence data across a large number of species, reconstruction of phylogenetic trees to reveal the evolution relationship among those species becomes more and more important. ... -
Random Triangle Theory with Geometry and Applications
(Springer US, 2015-03)What is the probability that a random triangle is acute? We explore this old question from a modern viewpoint, taking into account linear algebra, shape theory, numerical analysis, random matrix theory, the Hopf fibration, ... -
Random Walk Analysis of the Effect of Mechanical Degradation on All-Solid-State Battery Power
(The Electrochemical Society, 2017-09)Mechanical and electrochemical phenomena are coupled in defining the battery reliability, particularly for solid-state batteries. Micro-cracks act as barriers to Li-ion diffusion in the electrolyte, increasing the average ...
