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Found 11 papers, 0 papers with code
Distributed Representations Enable Robust Multi-Timescale Computation in Neuromorphic Hardware
Programming recurrent spiking neural networks (RSNNs) to robustly perform multi-timescale computation remains a difficult challenge.
Solving Quadratic Systems with Full-Rank Matrices Using Sparse or Generative Priors
The problem of recovering a signal $\boldsymbol{x} \in \mathbb{R}^n$ from a quadratic system $\{y_i=\boldsymbol{x}^\top\boldsymbol{A}_i\boldsymbol{x},\ i=1,\ldots, m\}$ with full-rank matrices $\boldsymbol{A}_i$ frequently arises in applications such as unassigned distance geometry and sub-wavelength imaging.
A Parameter-Free Two-Bit Covariance Estimator with Improved Operator Norm Error Rate
By employing dithering scales varying across entries, our estimator enjoys an improved operator norm error rate that depends on the effective rank of the underlying covariance matrix rather than the ambient dimension, thus closing the theoretical gap.
Scaling Limits of Memristor-Based Routers for Asynchronous Neuromorphic Systems
Multi-core neuromorphic systems typically use on-chip routers to transmit spikes among cores.
Quantized Low-Rank Multivariate Regression with Random Dithering
Moreover, we extend our results to a low-rank regression model with matrix responses.
Quantizing Heavy-tailed Data in Statistical Estimation: (Near) Minimax Rates, Covariate Quantization, and Uniform Recovery
Our major standpoint is that (near) minimax rates of estimation error are achievable merely from the quantized data produced by the proposed scheme.
Phase Retrieval of Quaternion Signal via Wirtinger Flow
Moreover, we develop a variant of QWF that can effectively utilize a pure quaternion priori (e. g., for color images) by incorporating a quaternion phase factor estimate into QWF iterations.
Error Bound of Empirical $\ell_2$ Risk Minimization for Noisy Standard and Generalized Phase Retrieval Problems
In NGPR, we show $O\big(\|\eta\|\frac{\sqrt{d}}{n}\big)$ for arbitrary $\eta$.
High Dimensional Statistical Estimation under Uniformly Dithered One-bit Quantization
In heavy-tailed regime, while the rates of our estimators become essentially slower, these results are either the first ones in an 1-bit quantized and heavy-tailed setting, or already improve on existing comparable results from some respect.
Color Image Inpainting via Robust Pure Quaternion Matrix Completion: Error Bound and Weighted Loss
To fill the theoretical vacancy, we obtain the error bound in both clean and corrupted regimes, which relies on some new results of quaternion matrices.
Signal Reconstruction from Phase-only Measurements: Uniqueness Condition, Minimal Measurement Number and Beyond
This paper studies the phase-only reconstruction problem of recovering a complex-valued signal $\textbf{x}$ in $\mathbb{C}^d$ from the phase of $\textbf{Ax}$ where $\textbf{A}$ is a given measurement matrix in $\mathbb{C}^{m\times d}$.
