We initiate the study of a duality theory which applies to norm inequalities for pointwise weighted geometric means of positive operators. The theory finds its expression in terms of certain pointwise factorisation properties of function spaces whic…

We initiate the study of a duality theory which applies to norm inequalities for pointwise weighted geometric means of positive operators. The theory…

The purpose of this section is to prove Theorem 2. Throughout we suppose that M′ has non-positive sectional curvature. We start with introducing some notation.

We extend harmonic map techniques to the setting of more general differential equations in conformal geometry. We obtain an extension of Siu's rigidi…

In this section we restate and prove Theorem 1.2. First we calculate the cocycle α of (1.4) in the case of a Heisenberg group. Then we will apply Theorem 1.4.

We sharpen the orbit method for finite groups of small nilpotence class by associating representations to functionals on the corresponding Lie rings.…

In few-shot learning, a machine learning system learns from a small set of labelled examples relating to a specific task, such that it can generalize…

Traditional approaches to extractive summarization rely heavily on human-engineered features. In this work we propose a data-driven approach based on…

Objective: Due to the non-linearity of numerous biomedical signals, non-linear analysis of multi-channel time series, notably multivariate multiscale…

In this paper, we treat the problem of evaluating the asymptotic error in a numerical integration scheme as one with inherent uncertainty. Adding to …

In generic particle physics models, the inflaton field is coupled to other bosonic and fermionic fields that acquire large masses during inflation an…

We present new integer linear programming (ILP) models for NP-hard optimisation problems in instances of the Stable Marriage problem with Ties and In…

The phase diagram of five-dimensional SU(2) gauge theories with one compactified dimension on anisotropic lattices has a rich structure. In this cont…

Extremal dependence between international stock markets is of particular interest in today's global financial landscape. However, previous studies ha…

Biomimetic nanoengineered metamaterials called chiral sculptured thin films (CSTFs) are attractive platforms for optical sensing because their porosi…

Via exploitation of surface plasmon polaritons (SPPs), columnar thin films (CTFs) are attractive potential platforms for optical sensing as their rel…

The soft anomalous dimension governs the infrared singularities of scattering amplitudes to all orders in perturbative quantum field theory, and is a…

In this paper we present new algorithms and analysis for the linear inverse sensor placement and scheduling problems over multiple time instances wit…

We consider the problem of Bayesian density estimation on the positive semiline for possibly unbounded densities. We propose a hierarchical Bayesian …

The application of biomechanic and motor control models in the control of bidedal robots (humanoids, and exoskeletons) has revealed limitations of ou…

We construct a diagrammatic coaction acting on one-loop Feynman graphs and their cuts. The graphs are naturally identified with the corresponding (cu…

LDPC convolutional codes have been shown to be capable of achieving the same capacity-approaching performance as LDPC block codes with iterative mess…

Understanding the nature of representations learned by supervised machine learning models is a significant goal in the machine learning community. We…

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