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Finite mixtures are a flexible modeling tool for irregularly shaped densities and samples from heterogeneous populations. When modeling with mixtures using an exchangeable prior on the component features, the component labels are arbitrary…

Methodology · Statistics 2020-07-10 Deborah Kunkel , Mario Peruggia

Matrices are built and designed by applying procedures from lower order matrices. Matrix tensor products, direct sums or multiplication of matrices are such procedures and a matrix built from these is said to be a {\em separable} matrix. A…

Rings and Algebras · Mathematics 2024-03-07 Ted Hurley , Barry Hurley

Mode tapering, or the gradual manipulation of the size of some mode, is a requirement for any system that aims to efficiently interface two or more subsystems of different mode sizes. While high efficiency tapers have been demonstrated,…

In this work, we present a wireless localization method that operates on self-supervised and unlabeled channel estimates. Our self-supervising method learns general-purpose channel features robust to fading and system impairments. Learned…

Signal Processing · Electrical Eng. & Systems 2023-02-15 Artan Salihu , Stefan Schwarz , Markus Rupp

Zero-shot text classifiers based on label descriptions embed an input text and a set of labels into the same space: measures such as cosine similarity can then be used to select the most similar label description to the input text as the…

Computation and Language · Computer Science 2022-05-25 Angelo Basile , Marc Franco-Salvador , Paolo Rosso

Collaborative beamforming enables nodes in a wireless network to transmit a common message over long distances in an energy efficient fashion. However, the process of making available the same message to all collaborating nodes introduces…

Information Theory · Computer Science 2008-01-22 Lun Dong , Athina P. Petropulu , H. Vincent Poor

We introduce subshifts of quasi-finite type as a generalization of the well-known subshifts of finite type. This generalization is much less rigid and therefore contains the symbolic dynamics of many non-uniform systems, e.g., piecewise…

Dynamical Systems · Mathematics 2009-11-10 Jerome Buzzi

In recent years, network deployment based on High Altitude Platforms (HAPs) has gained momentum through several initiatives where air vehicles and telecommunications payloads have been adapted and refined, resulting in more efficient and…

Networking and Internet Architecture · Computer Science 2012-08-07 Laurent Reynaud , Salim Zaïmi , Yvon Gourhant

To address semi-supervised learning from both labeled and unlabeled data, we present a novel meta-learning scheme. We particularly consider that labeled and unlabeled data share disjoint ground truth label sets, which can be seen tasks like…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Yun-Chun Chen , Chao-Te Chou , Yu-Chiang Frank Wang

Sudden transitions in the state of a system are often undesirable in natural and human-made systems. Such transitions under fast variation of system parameters are called rate-induced tipping. We experimentally demonstrate rate-induced…

Applied Physics · Physics 2022-09-15 Induja Pavithran , P. R. Midhun , R. I. Sujith

We survey techniques for constructing spaces with non-trivial self covers. These processes include methods for building low and high dimension continua which non-trivially self. We also discuss several related group theoretic and…

Geometric Topology · Mathematics 2026-04-14 Mathew Timm

In this survey we describe a recently-developed technique for bounding the number (and controlling the typical structure) of finite objects with forbidden substructures. This technique exploits a subtle clustering phenomenon exhibited by…

Combinatorics · Mathematics 2018-01-16 József Balogh , Robert Morris , Wojciech Samotij

This paper proposes a novel method of learning by predicting view assignments with support samples (PAWS). The method trains a model to minimize a consistency loss, which ensures that different views of the same unlabeled instance are…

Computer Vision and Pattern Recognition · Computer Science 2021-08-03 Mahmoud Assran , Mathilde Caron , Ishan Misra , Piotr Bojanowski , Armand Joulin , Nicolas Ballas , Michael Rabbat

Position representation is crucial for building position-aware representations in Transformers. Existing position representations suffer from a lack of generalization to test data with unseen lengths or high computational cost. We…

Computation and Language · Computer Science 2021-09-14 Shun Kiyono , Sosuke Kobayashi , Jun Suzuki , Kentaro Inui

We describe a new method for the random sampling of connected networks with a specified degree sequence. We consider both the case of simple graphs and that of loopless multigraphs. The constraints of fixed degrees and of connectedness are…

Physics and Society · Physics 2020-12-03 Szabolcs Horvát , Carl D. Modes

Several recent papers construct auxiliary polynomials to bound the Weil height of certain classes of algebraic numbers from below. Following these techniques, the author gave a general method for introducing auxiliary polynomials to…

Number Theory · Mathematics 2015-06-22 Charles L. Samuels

The performance of a machine learning system is usually evaluated by using i.i.d.\ observations with true labels. However, acquiring ground truth labels is expensive, while obtaining unlabeled samples may be cheaper. Stratified sampling can…

Machine Learning · Computer Science 2019-07-29 Tiancheng Yu , Xiyu Zhai , Suvrit Sra

The chaotic properties of some subshift maps are investigated. These subshifts are the orbit closures of certain non-periodic recurrent points of a shift map. We first provide a review of basic concepts for dynamics of continuous maps in…

chao-dyn · Physics 2015-06-24 Xin-Chu Fu , Yibin Fu , Jinqiao Duan , Robert S. MacKay

Sparse coding approximates the data sample as a sparse linear combination of some basic codewords and uses the sparse codes as new presentations. In this paper, we investigate learning discriminative sparse codes by sparse coding in a…

Machine Learning · Statistics 2015-01-19 Jim Jing-Yan Wang , Xin Gao

Spatial gaps correspond to the projection in position space of the gaps of a periodic structure whose envelope varies spatially. They can be easily generated in cold atomic physics using finite-size optical lattice, and provide a new kind…

Quantum Gases · Physics 2016-07-07 F. Damon , G. Condon , P. Cheiney , A. Fortun , B. Georgeot , J. Billy , D. Guery-Odelin