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Statistical physics of inference: Thresholds and algorithms
Many questions of fundamental interest in today's science can be formulated as inference
problems: some partial, or noisy, observations are performed over a set of variables and the …
problems: some partial, or noisy, observations are performed over a set of variables and the …
Scaling limits of wide neural networks with weight sharing: Gaussian process behavior, gradient independence, and neural tangent kernel derivation
G Yang - arxiv preprint arxiv:1902.04760, 2019 - arxiv.org
Several recent trends in machine learning theory and practice, from the design of state-of-
the-art Gaussian Process to the convergence analysis of deep neural nets (DNNs) under …
the-art Gaussian Process to the convergence analysis of deep neural nets (DNNs) under …
From denoising to compressed sensing
A denoising algorithm seeks to remove noise, errors, or perturbations from a signal.
Extensive research has been devoted to this arena over the last several decades, and as a …
Extensive research has been devoted to this arena over the last several decades, and as a …
Channel estimation in broadband millimeter wave MIMO systems with few-bit ADCs
We develop a broadband channel estimation algorithm for millimeter wave (mmWave)
multiple input multiple output (MIMO) systems with few-bit analog-to-digital converters …
multiple input multiple output (MIMO) systems with few-bit analog-to-digital converters …
Generalized approximate message passing for estimation with random linear mixing
S Rangan - 2011 IEEE International Symposium on Information …, 2011 - ieeexplore.ieee.org
We consider the estimation of a random vector observed through a linear transform followed
by a componentwise probabilistic measurement channel. Although such linear mixing …
by a componentwise probabilistic measurement channel. Although such linear mixing …
Expectation-maximization Gaussian-mixture approximate message passing
When recovering a sparse signal from noisy compressive linear measurements, the
distribution of the signal's non-zero coefficients can have a profound effect on recovery …
distribution of the signal's non-zero coefficients can have a profound effect on recovery …
A statistical model for tensor PCA
Abstract We consider the Principal Component Analysis problem for large tensors of
arbitrary order k under a single-spike (or rank-one plus noise) model. On the one hand, we …
arbitrary order k under a single-spike (or rank-one plus noise) model. On the one hand, we …
State evolution for approximate message passing with non-separable functions
Given a high-dimensional data matrix, approximate message passing (AMP) algorithms
construct sequences of vectors,, indexed by by iteratively applying or and suitable nonlinear …
construct sequences of vectors,, indexed by by iteratively applying or and suitable nonlinear …
Asymptotic analysis of complex LASSO via complex approximate message passing (CAMP)
Recovering a sparse signal from an undersampled set of random linear measurements is
the main problem of interest in compressed sensing. In this paper, we consider the case …
the main problem of interest in compressed sensing. In this paper, we consider the case …
Cooperative localization in wireless sensor networks with AOA measurements
This paper researches the cooperative localization in wireless sensor networks (WSNs) with-
periodic angle-of-arrival (AOA) measurements. Two types of localizers are developed from …
periodic angle-of-arrival (AOA) measurements. Two types of localizers are developed from …