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 …

Spin glasses are magnetic materials. Statistical mechanics, a subfield of physics, has been a
powerful tool to theoretically analyze various unique properties of spin glasses. This book is …

Learning is one of the things that humans do naturally, and it has always been a challenge
for us to understand the process. Nowadays this challenge has another dimension as we try …

We present a theory, based on statistical mechanics, to evaluate analytically the
performance of uncoded, fully synchronous, randomly spread code-division multiple-access …

We review recent theoretical progress on the statistical mechanics of error correcting codes,
focusing on low-density parity-check (LDPC) codes in general, and on Gallager and MacKay …

The basic frameworks and techniques of the Bayesian approach to image restoration are
reviewed from the statistical-mechanical point of view. First, a few basic notions in digital …

Deconvolution algorithms have proven very effective in conventional (wide-field)
fluorescence microscopy. Their application to confocal microscopy is hampered, in …

Recent studies have revealed intriguing similarities between the contribution of wormholes
to the gravitational path integral and the phenomenon of replica symmetry breaking …

An approach to analyze the performance of the code division multiple access (CDMA)
scheme, which is a core technology used in modern wireless communication systems, is …

Many problems of interest in physics, chemistry and computer science are equivalent to
problems defined on systems of interacting spins. However, most such problems require …