Reliable digital communication is a primary workhorse of the modern information age. The
disciplines of communication, coding, and information theories drive the innovation by …

Abstract Branch and Bound (B&B) is the exact tree search method typically used to solve
Mixed-Integer Linear Programming problems (MILPs). Learning branching policies for MILP …

The multi-head attention layer is one of the key components of the transformer architecture
that sets it apart from traditional feed-forward models. Given a sequence length $ k …

We provide a theoretical treatment of over-specified Gaussian mixtures of experts with
covariate-free gating networks. We establish the convergence rates of the maximum …

Proteins, as the primary executors of physiological activity, serve as a key factor in disease
diagnosis and treatment. Research into their structures, functions, and interactions is …

We study the problem of regression in a generalized linear model (GLM) with multiple
signals and latent variables. This model, which we call a matrix GLM, covers many widely …

Background Unrevealing the interplay between diet, the microbiome, and the health state
could enable the design of personalized intervention strategies and improve the health and …

The human ability to learn and reuse skills in a systematic manner is critical to our daily
routines. For example, having the skills for executing the basic arithmetic operations …

Despite the plethora of deep learning frameworks for flow field prediction, most of them deal
with flow fields on regular domains, and although the best ones can cope with irregular …

We consider the parameter estimation problem in the deviated Gaussian mixture of experts
in which the data are generated from $(1-\lambda^{\ast}) g_0 (Y| X)+\lambda^{\ast}\sum_ {i …