Machine learning recreates the periodic table from element properties.
arXiv research
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We develop a systematic method for classifying supersymmetric orbifold compactifications of M-theory. By restricting our attention to abelian orbifolds with low order, in the special cases where elements do not include coordinate shifts, we construct a "periodic table" of such compactifications, organized according to …
Minimum braids are a complete invariant of knots and links. This paper defines minimum braids, describes how they can be generated, presents tables for knots up to ten crossings and oriented links up to nine crossings, and uses minimum braids to study graph trees, amphicheirality, unknotting numbers, and periodic table…
Following a recent paper by Baryshnikov and Zharnitskii, we consider outer billiards in the plane possessing invariant curves consisting of periodic orbits. We prove the existence and abundance of such tables using tools from sub-Riemannian geometry. We also prove that the set of 3-periodic outer billiard orbits has ze…
The paper studies billiards in symmetric tables and finds a measure bound for maximizing orbits.
FinTMMBench benchmarks RAG systems for finance tasks across multiple data types and time periods.
Dan Reznik discovered conserved quantities for ellipses using billiard maps.
Machine-learning of atomic-scale properties amounts to extracting correlations between structure, composition and the quantity that one wants to predict. Representing the input structure in a way that best reflects such correlations makes it possible to improve the accuracy of the model for a given amount of reference …
Study of billiards in sub-Finsler geometry, including unusual orbits.
The paper finds a surprising positive correlation between upstreamness and downstreamness in global value chains.
In this paper, we discuss the impact of some mortality data anomalies on an internal model capturing longevity risk in the Solvency 2 framework. In particular, we are concerned with abnormal cohort effects such as those for generations 1919 and 1920, for which the period tables provided by the Human Mortality Database …
Revisit Fenn's table theorem from a differential-topological perspective.
Study detects synthetic tabular data across different tables.
Proves a generalized table theorem for odd Euler characteristic surfaces.
CTSyn generates high-quality synthetic tabular data.
Upper bounds for surface-links in the Yoshikawa table are estimated.
This paper compiles and calculates triple point numbers for surface-links in Yoshikawa's table.
The paper proves geometric properties of square tables and saddle surfaces.
Machine learning speeds up search procedures for sorted tables.
Method finds differential equations for integrable billiard tables.
Billiard trajectories and geodesics are closely related geometrically.
Study identifies prime strongly positive amphicheiral knots with double symmetry.
This document contains tables with the classification of prehomogeneous modules for reductive algebraic groups with up to two simple factors due to Sato, Kimura and many others, as well as corresponding tables of the étale modules appearing in this list, determined by the author. It is intended as a convenient referenc…
BiN normalizes financial time-series for better forecasting.
Descriptive titles provide crucial context for interpreting tables that are extracted from web pages and are a key component of table-based web applications. Prior approaches have attempted to produce titles by selecting existing text snippets associated with the table. These approaches, however, are limited by their d…
This note corrects errors in Hatcher and Oertel's table of boundary slopes of Montesinos knots which have projections with 10 or fewer crossings.
Compactness proven for isospectral Birkhoff billiard tables.
Method combines clustering and matrix completion for missing data in I/O tables.
TableQnA answers web queries about lists and superlatives from HTML tables.
Proposes -table for statistical SHAP explanations in regression models.
An explicit solution found for maximizing/minimizing agreement in a 2x2 table.
We give a complete characterization of the relationship between the shape of a Euclidean polygon and the symbolic dynamics of its billiard flow. We prove that the only pairs of tables that can have the same bounce spectrum are right-angled tables that differ by an affine map. The main tool is a new theorem that establi…
To study embeddings of tangles in knots, we use quandle cocycle invariants. Computations are carried out for the tables of knots and tangles, to investigate which tangles may or may not embed in knots in the tables.
Robotic table tennis learns efficient policies to return balls at 100Hz.
Open problem: Establishing bounds for Cayley-table completion to discover discrete algorithmic axioms.
Improved method for encoding contingency tables reduces mutual information bias.
We present in this paper experiments on Table Recognition in hand-written registry books. We first explain how the problem of row and column detection is modeled, and then compare two Machine Learning approaches (Conditional Random Field and Graph Convolutional Network) for detecting these table elements. Evaluation wa…
We present a novel approach for estimating conditional probability tables, based on a joint, rather than independent, estimate of the conditional distributions belonging to the same table. We derive exact analytical expressions for the estimators and we analyse their properties both analytically and via simulation. We …
Enumerated all genus two handlebody-knots with seven crossings.
Paper develops a model for verifying facts in tables without pre-retrieved evidence.
Taxicab correspondence analysis visualizes sparse text data sets.
E. Gutkin found a remarkable class of convex billiard tables in the plane which have a constant angle invariant curve. In this paper we prove that in dimension 3 only round sphere has such a property. For dimension greater than 3 it must be either a sphere or to have a very special geometric properties. In 2-dimensiona…
This paper explores and develops alternative statistical representations and estimation approaches for dynamic mortality models. The framework we adopt is to reinterpret popular mortality models such as the Lee-Carter class of models in a general state-space modelling methodology, which allows modelling, estimation and…
We introduce a notion of natural orderings of elements of finite connected quandles of order . When the elements of such a quandle are already ordered naturally, any automophism on is a natural ordering. Although there are many natural orderings, the operation tables for such orderings coincide when the perm…
Table of symmetric diagrams for knots up to 10 crossings.
This paper, to be regularly updated, lists those prime knots with the fewest possible number of crossings for which values of basic knot invariants, such as the unknotting number or the smooth 4-genus, are unknown. This list is being developed in conjunction with "KnotInfo" (www.indiana.edu/~knotinfo), a web-based tabl…
SAVeD detects dataset versions without metadata, improving accuracy and separation.
The answers to many unsolved problems lie in the intractable chemical space of molecules and materials. Machine learning techniques are rapidly growing in popularity as a way to compress and explore chemical space efficiently. One of the most important aspects of machine learning techniques is representation through th…