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This paper proposes an unsupervised method for learning a unified representation that serves both discriminative and generative purposes. While most existing unsupervised learning approaches focus on a representation for only one of these…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 Shengbang Tong , Xili Dai , Yubei Chen , Mingyang Li , Zengyi Li , Brent Yi , Yann LeCun , Yi Ma

The propagation of light through samples with random inhomogeneities can be described by way of transmission eigenchannels, which connect incoming and outgoing external propagating modes. Although the detailed structure of a disordered…

Disordered Systems and Neural Networks · Physics 2014-04-18 A. Peña , A. Girschik , F. Libisch , S. Rotter , A. A. Chabanov

We establish a novel approach to probing spatially resolved multi-time correlation functions of interacting many-body systems, with scalable experimental overhead. Specifically, designing nonlinear measurement protocols for multidimensional…

Quantum Physics · Physics 2014-10-07 M. Gessner , F. Schlawin , H. Haeffner , S. Mukamel , A. Buchleitner

Data-efficiency and generalization are key challenges in deep learning and deep reinforcement learning as many models are trained on large-scale, domain-specific, and expensive-to-label datasets. Self-supervised models trained on…

Machine Learning · Computer Science 2021-06-10 Mina Khan , P Srivatsa , Advait Rane , Shriram Chenniappa , Rishabh Anand , Sherjil Ozair , Pattie Maes

Legged robots are popular candidates for missions in challenging terrains due to the wide variety of locomotion strategies they can employ. Terrain classification is a key enabling technology for autonomous legged robots, as it allows the…

Robotics · Computer Science 2020-11-25 Ahmadreza Ahmadi , Tønnes Nygaard , Navinda Kottege , David Howard , Nicolas Hudson

We introduce a unified framework, formulated as general latent space models, to study complex higher-order network interactions among multiple entities. Our framework covers several popular models in recent network analysis literature,…

Machine Learning · Computer Science 2021-07-01 Zhongyuan Lyu , Dong Xia , Yuan Zhang

In this paper, we propose and evaluate the performance of a unified computational framework for preconditioning systems of linear equations resulting from the solution of coupled problems with monolithic schemes. The framework is composed…

Numerical Analysis · Mathematics 2016-08-24 Francesc Verdugo , Wolfgang A. Wall

We find an explicit combinatorial gradient vector field on the well known complex S (Salvetti complex) which models the complement to an arrangement of complexified hyperplanes. The argument uses a total ordering on the facets of the…

Algebraic Topology · Mathematics 2014-11-11 Mario Salvetti , Simona Settepanella

We study, through a new perspective, a globally coupled map system that essentially interpolates between simple discrete-time nonlinear dynamics and certain long-range many-body Hamiltonian models. In particular, we exhibit relevant…

Statistical Mechanics · Physics 2017-08-23 Luis G. Moyano , Ana P. Majtey , Constantino Tsallis

Interpolation for scattered data is a classical problem in numerical analysis, with a long history of theoretical and practical contributions. Recent advances have utilized deep neural networks to construct interpolators, exhibiting…

Machine Learning · Computer Science 2023-03-15 Shizhe Ding , Boyang Xia , Milong Ren , Dongbo Bu

A field-theoretical representation is suggested for the electron global density of states distribution function P(\nu) in extended disordered conductors. This opens a way to study the complete statistics of fluctuations. The approach is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. I. Yudson

We investigate entanglement properties of a recently introduced class of macroscopic quantum superpositions in two-mode mixed states. One of the tools we use in order to infer the entanglement in this non-Gaussian class of states is the…

Quantum Physics · Physics 2009-11-11 M. Paternostro , H. Jeong , M. S. Kim

This paper presents a new Bayesian collaborative sparse regression method for linear unmixing of hyperspectral images. Our contribution is twofold; first, we propose a new Bayesian model for structured sparse regression in which the…

Computation · Statistics 2023-07-19 Yoann Altmann , Marcelo Pereyra , Jose Bioucas-Dias

To gain insight into the mechanisms behind machine learning methods, it is crucial to establish connections among the features describing data points. However, these correlations often exhibit a high-dimensional and strongly nonlinear…

Machine Learning · Computer Science 2025-03-04 Lorenzo Basile , Santiago Acevedo , Luca Bortolussi , Fabio Anselmi , Alex Rodriguez

The reflection superposition phenomenon is complex and widely distributed in the real world, which derives various simplified linear and nonlinear formulations of the problem. In this paper, based on the investigation of the weaknesses of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Qiming Hu , Xiaojie Guo

Introspection of deep supervised predictive models trained on functional and structural brain imaging may uncover novel markers of Alzheimer's disease (AD). However, supervised training is prone to learning from spurious features (shortcut…

Machine Learning · Computer Science 2022-05-24 Alex Fedorov , Lei Wu , Tristan Sylvain , Margaux Luck , Thomas P. DeRamus , Dmitry Bleklov , Sergey M. Plis , Vince D. Calhoun

The supersymmetric method is a powerful method for the evaluation of quenched averages in disordered systems. Among others, this method has been applied to the theory of S-matrix fluctuations, the theory of universal conductance…

High Energy Physics - Theory · Physics 2009-11-10 J. J. M. Verbaarschot

We simulate a hybrid superconductor-graphene device in the quantum Hall regime to identify the origin of downstream resistance oscillations in a recent experiment [Zhao et. al. Nature Physics 16, (2020)]. In addition to the previously…

Mesoscale and Nanoscale Physics · Physics 2022-12-16 Antonio L. R. Manesco , Ian Matthias Flór , Chun-Xiao Liu , Anton R. Akhmerov

Recently it has been shown that the non-local correlations needed for measurement based quantum computation (MBQC) can be revealed in the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model involving nearest neighbor spin-3/2…

Quantum Physics · Physics 2012-01-17 Andrew S. Darmawan , Gavin K. Brennen , Stephen D. Bartlett

Analytic solutions for steady-state expectation values of atomic quantities and second order correlations are obtained for a fully quantum treatment of two stationary dipole-coupled atoms driven in a standard geometric configuration by a…

Quantum Gases · Physics 2020-02-05 Petra Fersterer , R. J. Ballagh
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