A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Estimates localized complexity of white-matter wiring using GANs.
Unbraided wiring diagrams for Stein fillings of lens spaces are described.
(NOTE: per referee comments, this article has been split; it is now superseded by "Existence of thread-wire minimizers" and "Near-wire thread-wire minimizers"; please see http://www.bkstephens.net.) Alt's thread problem asks for least-area surfaces bounding a fixed "wire" curve and a movable "thread" curve of length L.…
Wire billiard is defined by a smooth embedded closed curve of non-vanishing curvature in (a wire). For a class of curves, that we call nice wires, the wire billiard map is area preserving twist map of the cylinder. In this paper we are investigating whether the basic features of conventional planar b…
Decussation improves robustness of 3D neural networks.
There are several types of equation of motion of elastic wires. In this paper, we treat an equation taking account of the thickness of wire. The equation was introduced by Caflisch and Maddocks on plane curves, and they proved the existence of solutions. Koiso and Sugimoto generalized the result to any dimensional Eucl…
Theoretical comparison of three invariance approaches in deep linear networks.
Researchers use Gaussian Process Regression to improve accuracy of a low-cost hot-wire anemometer.
Differentiable NAS frameworks grow networks wider and deeper, revealing biases in wiring evolution.
Enneper's wire, the image of the circle of radius under Enneper's surface, bounds exactly three minimal surfaces for between 1 and , and these three surfaces depend continuously on . The other two surfaces (besides Enneper's surface) are absolute minima of area among disk-type surfaces bounded by En…
RicciNets prunes neural networks by removing edges of low importance based on Ricci curvature, reducing FLOPs by 35%.
Generative model for morphisms in free categories learns from wiring diagrams.
Study on supply chain networks using wire transfers in Brazil.
EM-GAN uses GANs for fast stress analysis of multi-segment interconnects.
Serenity optimizes neural network execution for edge devices by scheduling with optimal memory footprint.
We study association between macroeconomic news and stock market returns using the statistical theory of copulas, and a new comprehensive measure of news based on the indexing of news wires. We find the impact of economic news on equity returns to be nonlinear and asymmetric. In particular, controlling for economic con…
Soap films collapse only if their bulk has negative pressure, forming convex shapes.
Estimates for graph embeddings into symmetric spaces derived from coarse geometry.
We give an upper bound on the z-degree of the Kauffman polynomial of a link, using bridges of length greater than one which are separated in some tangle decomposition of a link diagram. We construct some examples by wiring together rational tangles.
Transfer learning is a popular practice in deep neural networks, but fine-tuning of large number of parameters is a hard task due to the complex wiring of neurons between splitting layers and imbalance distributions of data in pretrained and transferred domains. The reconstruction of the original wiring for the target …
What are the possible shapes of various things and why? For instance, when a closed wire or a frame is dipped into a soap solution and is raised up from the solution, the surface spanning the wire is a soap film. What are the possible shapes of soap films and why? Or, for instance, why is DNA like a double spiral stair…
Paper uses CNN to predict process parameters from molten pool data in WLAM.
In mathematics, the classical Plateau problem consists of finding the surface of least area that spans a given rigid boundary curve. A physical realization of the problem is obtained by dipping a stiff wire frame of some given shape in soapy water and then removing it; the shape of the spanning soap film is a solution …
Survey of integrable billiard models and inequalities.
The paper explores knots with equal bridge and braid index, conjecturing they have a unique equilibrium state.
Motivated by the study of the equilibrium equations for a soap film hanging from a wire frame, we prove a compactness theorem for surfaces with asymptotically vanishing mean curvature and fixed or converging boundaries. In particular, we obtain sufficient geometric conditions for the minimal surfaces spanned by a given…
We introduce a new neural network model, together with a tractable and monotone online learning algorithm. Our model describes feed-forward networks for classification, with one output node for each class. The only nonlinear operation is rectification using a ReLU function with a bias. However, there is a rectifier on …
New neural net learns time-reversible symplectic dynamics.
Study on dynamic curves with elastic energy and spontaneous curvature.
Method finds differential equations for integrable billiard tables.
Low-density parity-check codes, a class of capacity-approaching linear codes, are particularly recognized for their efficient decoding scheme. The decoding scheme, known as the sum-product, is an iterative algorithm consisting of passing messages between variable and check nodes of the factor graph. The sum-product alg…
Generative AI agents improve ERP systems by automating complex financial tasks.
Base of fibered correspondence is arbitrary correspondence. Fibered correspondence is interesting when we consider relationship between different bundles. However composition of fibered correspondences may not always be defined. Reduced fibered correspondence is defined only between fibers over the same point of base. …
Extends Frohman and Rannard's result to Seifert fiber spaces with singular surfaces.
Investigates conditions for GKM fiber bundles and realizability of fiber bundles of GKM graphs.
Study fiber-preserving, orientation-reversing involutions on Seifert fibered 3-manifolds.
Bayesian SDOE method estimates QoIs from expensive black-box functions efficiently.
We study the relationship between fibered ribbon 1-knots and fibered ribbon 2-knots by studying fibered slice disks with handlebody fibers. We give a characterization of fibered homotopy-ribbon disks and give analogues of the Stallings twist for fibered disks and 2-knots. As an application, we produce infinite families…
Introduces Darboux-Lie derivative for fiber bundles.
The paper proves non-existence of positive scalar curvature on certain fiber bundles.
New examples show not all homology fiber bundles are topological.
Study shows simplicial volume of certain fiber bundles is zero.
New exotic 4-manifolds found with fiber bundles.
We construct two infinite families of knots each of which admits a Seifert fibered surgery with none of these surgeries coming from Dean's primitive/Seifert-fibered construction. This disproves a conjecture that all Seifert fibered surgeries arise from Dean's primitive/Seifert-fibered construction. The (-3,3,5)-pretzel…
We show that a compact complex surface which fibers smoothly over a curve of genus >1 with fibers of genus >1 fibers holomorphically. We deduce an improvement of a result in [D Kotschick, Math. Research Letters, 5 (1998) 227-234], and a characterisation of fibered surfaces with zero signature.
Constructs a family to handle unstable fibers on complex surfaces.
The concept of F-algebra and its representation can be extended to an arbitrary bundle. We define operations of fibered F-algebra in fiber. The paper presents the representation theory of of fibered F-algebra as well as a comparison of representation of F-algebra and of representation of fibered F-algebra.
Groups with Property (T) have fiber products with Property (T).