Study new warped product metric in contact geometry.
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This paper proposes a percolation-based model of new-product diffusion in the spirit of Solomon et al. (2000) and Goldenberg et al. (2000). A consumer buys the new product if she has formed her individual valuation of the product (reservation price) and if this valuation is greater or equal than the price of the produc…
Motivated by the phenomenon that companies introduce new products to keep abreast with customers' rapidly changing tastes, we consider a novel online learning setting where a profit-maximizing seller needs to learn customers' preferences through offering recommendations, which may contain existing products and new prod…
Improved sales forecasting for new products using transfer learning.
Few attempts have been proposed in order to describe the statistical features and historical evolution of the export bipartite matrix countries/products. An important standpoint is the introduction of a products network, namely a hierarchical forest of products that models the formation and the evolution of commodities…
New rigidity results for warped product domains.
Heterogeneity of economic agents is emphasized in a new trend of macroeconomics. Accordingly the new emerging discipline requires one to replace the production function, one of key ideas in the conventional economics, by an alternative which can take an explicit account of distribution of firms' production activities. …
The paper modifies a warped product space to find conditions for constant height functions.
The paper studies a new type of submanifolds in product spaces.
In this article we obtain classification results on the quasi-product production functions in terms of the geometry of their associated graph hypersurfaces, generalizing in a new setting some recent results concerning basic production models. In particular, we obtain several results on the geometry of Spillman-Mitscher…
New examples of solitons found as warped products.
Study new warped metrics with vanishing Douglas curvature.
Paper defines new submanifolds in Kaehler manifolds.
New method compares geometric and standard cup products.
Derives equations for capital deepening in a competitive economy without assuming a production function.
Characterizes and examines gradient solitons on doubly warped product manifolds.
New method calibrates Gaussian product experts for better predictions.
New conditions for circular orderability of direct products, linking to left-orderability of groups.
Labor productivity in Turkey, Spain, Belgium, Austria, Switzerland, and New Zealand has been analyzed and modeled. These counties extend the previously analyzed set of the US, UK, Japan, France, Italy, and Canada. Modelling is based on the link between the rate of labor participation and real GDP per capita. New result…
We study stable commutator length (scl) in free products via surface maps into a wedge of spaces. We prove that scl is piecewise rational linear if it vanishes on each factor of the free product, generalizing the main result in Danny Calegari's paper "Scl, sails and surgery". We further prove that the property of isome…
Labour productivity distribution (dispersion) is studied both theoretically and empirically. Superstatistics is presented as a natural theoretical framework for productivity. The demand index is proposed within this framework as a new business index. Japanese productivity data covering small-to-medium to large firm…
New method uses product embeddings to predict bundle success.
This paper compiles formulas involving differential operators and interior products.
New method detects non-product domains using squeezing function.
New method combines FMEA and Bayesian Network for root cause analysis in lithium-ion battery production.
Vector-valued neural learning has emerged as a promising direction in deep learning recently. Traditionally, training data for neural networks (NNs) are formulated as a vector of scalars; however, its performance may not be optimal since associations among adjacent scalars are not modeled. In this paper, we propose a n…
Concurrent engineering taking into account product life-cycle factors seems to be one of the industrial challenges of the next years. Cost estimation and management are two main strategic tasks that imply the possibility of managing costs at the earliest stages of product development. This is why it is indispensable to…
The linear stability of warped product Einstein metrics as fixed points of the Ricci flow is investigated. We generalise the results of Gibbons, Hartnoll and Pope and show that in sufficiently low dimensions, all warped product Einstein metrics are unstable. By exploiting the relationship between warped product Einstei…
Let M be a closed Riemannian manifold. We extend the product of Goresky-Hingston, on the cohomology of the free loop space of M relative to the constant loops, to a nonrelative product. It is graded associative and commutative, and compatible with the length filtration on the loop space, like the original product. We p…
Economies grow by upgrading the type of products they produce and export. The technology, capital, institutions and skills needed to make such new products are more easily adapted from some products than others. We study the network of relatedness between products, or product space, finding that most upscale products a…
We define a new class of irreducible groups, called groups not infinite-index presentable by products or not IIPP. We prove that certain aspherical manifolds with fundamental groups not IIPP do not admit maps of non-zero degree from direct products. This extends previous results of Kotschick and Loeh, providing new cla…
Discrete exterior calculus shows natural properties of wedge product and averaging.
New insights into identifying mixtures of product distributions using Hadamard extensions.
We construct cup and cap products in intersection (co)homology with field coefficients. The existence of the cap product allows us to give a new proof of Poincare duality in intersection (co)homology which is similar in spirit to the usual proof for ordinary (co)homology of manifolds.
New findings extend rigidity results to broader classes of manifolds.
In this paper, we study a new generalized class of -warped product submanifolds under the name -pseudo-slant warped product submanifolds in para-Kähler manifolds . The results of existence and non-existence for -pseudo-slant warped product…
Study chaotic behavior in homeomorphism groups of countable products of spaces.
New result on Einstein manifolds using conformal product structures.
New algorithm reduces cold-start costs in multi-armed bandits for many products.
New linking numbers link complex cycles to Calabi-Yau 3-folds.
Quasi-isometries in horospherical products are close to product maps.
New manifold type PNDP-manifold defined with Einstein warped product structure.
New rigidity found for 3D warped product domains.
SPPL simplifies probabilistic programming for exact inference.
New method proves mateability of triangle groups with Blaschke products.
The paradox of the energy transition is that the low marginal costs of new renewable energy sources (RES) drag electricity prices down and discourage investments in flexible productions that are needed to compensate for the lack of dispatchability of the new RES. The energy transition thus discourages the investments t…
Improved 3D LiDAR data classification using product coefficients.
In this paper, we study warped product submanifolds of nearly trans-Sasakian manifolds. The non-existence of the warped product semi-slant submanifolds of the type is shown, whereas some characterization and new geometric obstructions are obtained for the warped products of the type $N_T\times{_{f}…