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This paper deals with two related problems, namely distance-preserving binary embeddings and quantization for compressed sensing .
Extensions of Lipschitz mappings into a Hilbert space
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An optimal family of exponentially accurate one-bit sigma-delta quantization schemes
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New constructions of RIP matrices with fast multiplication and fewer rows
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Quantization and compressive sensing
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Noise-shaping quantization methods for frame-based and compressive sampling systems
E. Chou, C. S. Güntürk, F. Krahmer, R. Saab, and O. Yılmaz · 2015
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Binary embedding: Fundamental limits and fast algorithm
X. Yi, C. Caramanis, and E. Price · 2015
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On binary embedding using circulant matrices
F. X. Yu, A. Bhaskara, S. Kumar, Y. Gong, and S.-F. Chang · 2015
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Restricted isometries for partial random circulant matrices
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Binary embeddings with structured hashed projections
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Distributed noise-shaping quantization: I. Beta duals of finite frames and near-optimal quantization of random measurements
E. Chou and C. S. Güntürk · 2016
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Fast binary embeddings with gaussian circulant matrices: improved bounds
S. Dirksen and A. Stollenwerk · 2016
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Accurate Quantization in Redundant Systems: From Frames to Compressive Sampling and Phase Retrieval
T. Huynh · 2016
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Improved bounds for sparse recovery from subsampled random convolutions
S. Mendelson, H. Rauhut, and R. Ward · 2016
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Exponential decay of reconstruction error from binary measurements of sparse signals
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Exponential decay of reconstruction error from binary measurements of sparse signals
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Distributed Noise-Shaping Quantization: II. Classical Frames
E. Chou and C. S. Güntürk · 2017
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One-bit compressed sensing with partial gaussian circulant matrices
S. Dirksen, H. C. Jung, and H. Rauhut · 2017
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Quantized compressed sensing for partial random circulant matrices
J.-M. Feng, F. Krahmer, and R. Saab · 2017
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The restricted isometry property of subsampled fourier matrices
I. Haviv and O. Regev · 2017
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Small width, low distortions: quantized random embeddings of low-complexity sets
L. Jacques · 2017
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Time for dithering: fast and quantized random embeddings via the restricted isometry property
L. Jacques and V. Cambareri · 2017
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Near-optimal sample complexity bounds for circulant binary embedding
S. Oymak, C. Thrampoulidis, and B. Hassibi · 2017
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From compressed sensing to compressed bit-streams: practical encoders, tractable decoders
R. Saab, R. Wang, and Ö. Yılmaz · 2017
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Sigma delta quantization with harmonic frames and partial fourier ensembles
R. Wang · 2017
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Isometric sketching of any set via the restricted isometry property
S. Oymak, B. Recht, and M. Soltanolkotabi · 2018
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R. Saab, R. Wang, and O. Yılmaz · 2018
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