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.
New method uses geometric mean to avoid non-collapsibility in case-control studies.
Estimates price sensitivity from transaction data using a novel odds ratio method.
A new thompson sampling method controls for time-varying effects.
On each nonorientable surface of odd genus , we give a mapping class whose dilatation on an invariant subsurface is the golden ratio.
Proposes AAA for efficient association estimation with confounders.
Evaluates local explanations using white-box models and log odds ratios.
New methods for estimating conditional odds and risk ratios improve treatment decision rules.
The law of total probability may be deployed in binary classification exercises to estimate the unconditional class probabilities if the class proportions in the training set are not representative of the population class proportions. We argue that this is not a conceptually sound approach and suggest an alternative ba…
Prognostic scores improve logistic regression analysis in RCTs with binary outcomes.
The study finds the minimum average area ratio on hyperbolic manifolds and its relation to scalar curvature.
The main result of this paper is: Given any constant C, there is such that if a complete, orientable, noncompact odd-dimensional manifold with bounded positive sectional curvature contains a -neck, then the asymptotic scalar curvature ratio is bigger or equal to C. As a application we proved that the…
New methods for identifying and estimating missing data under complex mechanisms.
The gain-loss ratio is known to enjoy very good properties from a normative point of view. As a confirmation, we show that the best market gain-loss ratio in the presence of a random endowment is an acceptability index and we provide its dual representation for general probability spaces. However, the gain-loss ratio w…
This paper addresses privacy concerns in ratio statistics using differential privacy.
We consider the standard contact structure on the supercircle, S^{1|1}, and the supergroups E(1|1), Aff(1|1) and SpO(2|1) of contactomorphisms, defining the Euclidean, affine and projective geometry respectively. Using the new notion of (p|q)-transitivity, we construct in synthetic fashion even and odd invariants chara…
Equity-Directed Bootstrapping improves model performance across groups in imbalanced datasets.
Q-Learner estimates ratio-based treatment effects without imposing parametric structures.
The conformal anomalies and functional determinants of the Branson--GJMS operators, P_{2k}, on the d-dimensional sphere are evaluated in explicit terms for any d and k such that k < d/2+1 (if d is even). The determinants are given in terms of multiple gamma functions and a rational multiplicative anomaly, which vanishe…
In this paper, we investigate the effect of machine learning based anonymization on anomalous subgroup preservation. In particular, we train a binary classifier to discover the most anomalous subgroup in a dataset by maximizing the bias between the group's predicted odds ratio from the model and observed odds ratio fro…
We construct a counterexample to a conjectured inequality L<2D, relating the diameter D and the least length L of a nontrivial closed geodesic, for a Riemannian metric on the 2-sphere. The construction relies on Guillemin's theorem concerning the existence of Zoll surfaces integrating an arbitrary infinitesimal odd def…
Study causal inference under specific sampling methods with monotonicity assumptions.
Develops methods to estimate ratios of conditional expectation functions.
Unified framework for estimating density ratios in causal inference.
The paper generalizes deformation results for Fuchsian representations and shows proper affine actions.
We show that the refined analytic torsion is a holomorphic section of the determinant line bundle over the space of complex representations of the fundamental group of a closed oriented odd dimensional manifold. Further, we calculate the ratio of the refined analytic torsion and the Farber-Turaev combinatorial torsion.…
Proposes MCLLO for assessing and recalibrating multiclass probability predictions.
MEC-Cox: A Machine-Learning-Assisted Generalized Entropy Calibration Method for Estimating ATT Marginal Hazard-Ratio
We consider odd Poisson (odd symplectic) structure on supermanifolds induced by an odd symmetric rank (non-degenerate) contravariant tensor field. We describe the difference between odd Riemannian and odd symplectic structure in terms of the Cartan prolongation of the corresponding Lie algebras, and formulate an an…
We say that a nonnegatively curved manifold has quarter pinched flag curvature if for any two planes which intersect in a line the ratio of their sectional curvature is bounded above by 4. We show that these manifolds have nonnegative complex sectional curvature. By combining with a theorem of Brendle and Schoe…
Odd connections on supermanifolds are defined and their properties studied.
In this paper we review the concepts of Bayesian evidence and Bayes factors, also known as log odds ratios, and their application to model selection. The theory is presented along with a discussion of analytic, approximate and numerical techniques. Specific attention is paid to the Laplace approximation, variational Ba…
We consider odd Laplace operators arising in odd symplectic geometry. Approach based on semidensities (densities of weight 1/2) is developed. The role of semidensities in the Batalin--Vilkovisky formalism is explained. In particular, we study the relations between semidensities on an odd symplectic supermanifold and di…
This paper extends NCFI to odd codimension and computes examples.
The divergence-like operator on an odd symplectic superspace which acts invariantly on a specially chosen odd vector field is considered. This operator is used to construct an odd invariant semidensity in a geometrically clear way. The formula for this semidensity is similar to the formula of the mean curvature of hype…
We establish several Witten type rigidity and vanishing theorems for twisted Toeplitz operators on odd dimensional manifolds. We obtain our results by combining the modular method, modular transgression and some careful analysis of odd Chern classes for cocycles in odd -theory. Moreover we discover that in odd dimen…
In [D.A. Fedoseev, V.O. Manturov, A sliceness criterion for odd free knots,arXiv:1707.04923], the authors proved a sliceness criterion for odd free knots: free knots with odd chords. In the present paper we give a similar criterion for stably odd free knots. Some additional results on knot sliceness and cobordism are g…
Adapts scanning algorithm for odd Khovanov homology.
This paper refines previous work by the first author. We study the question of which links in the 3-sphere can be obtained as closures of a given 1-manifold in an unknotted solid torus in the 3-sphere (or genus-1 tangle) by adjoining another 1-manifold in the complementary solid torus. We distinguish between even and o…
New ODD metrics defined on manifolds with degeneracy conditions.
Study proposes new methods to convert betting odds into accurate probabilities for sports forecasting.
Let M be a closed 5-manifold of pinched curvature 0<δ\le \text{sec}_M\le 1. We prove that M is homeomorphic to a spherical space form if M satisfies one of the following conditions: (i) δ=1/4 and the fundamental group is a non-cyclic group of order at least C, a constant. (ii) The center of the fundamental group has in…
Odd-dimensional orbifolds' Euler characteristic equals half of their boundary's.
Paper extends index theorem to odd-dimensional manifolds with even-dimensional boundaries.
Proves another theorem for odd dimensional manifolds with boundary.
Proves module structure on odd Khovanov homology and applies to ribbon 2-knots.
We prove an extension of the Cheeger-Müller theorem to spaces with isolated conical singularities: the -analytic torsion coincides with the Ray-Singer intersection torsion on an even dimensional space, and they are trivial, while the ratio is non trivial on an odd dimensional space, and the anomaly depends only on…
We consider odd Laplace operators acting on densities of various weight on an odd Poisson (= Schouten) manifold . We prove that the case of densities of weight 1/2 (half-densities) is distinguished by the existence of a unique odd Laplace operator depending only on a point of an ``orbit space'' of volume forms. This…
Constructs modular forms and proves divisibility results for odd-dimensional manifolds.