Sparse modeling

Sparsity and information processing

Recently, many information processing methods utilizing the sparsity of the information source is studies. We have reported some results on this line of research. Here we pick up two results from our own works. One is an image reconstruction method …

Variable selection for modeling the absolute magnitude at maximum of Type Ia supernovae

We discuss what is an appropriate set of explanatory variables in order to predict the absolute magnitude at the maximum of Type Ia supernovae. In order to have a good prediction, the error for future data, which is called the "generalization error," …

Bin mode estimation methods for Compton camera imaging

We study the image reconstruction problem of a Compton camera which consists of semiconductor detectors. The image reconstruction is formulated as a statistical estimation problem. We employ a bin-mode estimation (BME) and extend an existing …

Super-resolution imaging with radio interferometry using sparse modeling

We propose a new technique to obtain super-resolution images with radio interferometry using sparse modeling. In standard radio interferometry, sampling of $(u, v)$ is quite often incomplete and thus obtaining an image from observed visibilities …

Compton camera imaging

The goal of the Compton camera imaging is to visualize the gamma-ray intensity map. Here, we focus on the case where the gamma-ray sources are sufficiently far from the camera and propose a new reconstruction method for the Compton camera imaging. …

Phase retrieval from single biomolecule diffraction pattern

In this paper, we propose the SPR (sparse phase retrieval) method, which is a new phase retrieval method for coherent x-ray diffraction imaging (CXDI). Conventional phase retrieval methods effectively solve the problem for high signal-to-noise ratio …

Sparse Phase Retrieval

Motor planning as an optimization of command representation

A fundamental problem in the field of motor neuroscience is to understand how our brain generates appropriate motor commands for precise movements effortlessly. The problem seems difficult since there are infinitely many possible trajectories and our …

Motor planning as an optimization of command representation

The fundamental problem of the motor neuroscience is to understand how humans make precise movements effortlessly. The problem seems difficult since there are infinite possible trajectories and the muscles are generally redundant. We discuss the …

Motor Planning and Sparse Motor Command Representation

The present article proposes a novel computational approach to the motor planning. In this approach, each motor command is represented as a linear combination of prefixed basis patterns, and the command for a given task is designed by minimizing a …