Research
On-device research index

arXiv research

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.

169,341 papers · 148 categories

Trend · papers per month

78156233311 · May 202619922001200920182026
48 results for consistency index

Researchers analyze the relationship between ML cost functions and the C-index in survival analysis.

problem Understanding the relationship between ML cost functions and the C-index in survival analysis.
method Provided C-index Fisher-consistency results and excess risk bounds for various cost functions in survival analysis.
result Identified conditions under which ML cost functions are consistent with the C-index.

The 3D index of Dimofte-Gaiotto-Gukov a partially defined function on the set of ideal triangulations of 3-manifolds with rr torii boundary components. For a fixed 2r2r tuple of integers, the index takes values in the set of qq-series with integer coefficients. Our goal is to give an axiomatic definition of the tetra…

2012-08-08abs ↗pdf ↗

In this paper we provide evidence that financial option markets for equity indices give rise to non-trivial dependency structures between its constituents. Thus, if the individual constituent distributions of an equity index are inferred from the single-stock option markets and combined via a Gaussian copula, for examp…

2009-09-18abs ↗pdf ↗

We define Conditional quasi concave Performance Measures (CPMs), on random variables bounded from below, to accommodate for additional information. Our notion encompasses a wide variety of cases, from conditional expected utility and certainty equivalent to conditional acceptability indexes. We provide the characteriza…

2012-12-17abs ↗pdf ↗

Abstract reviews algorithms for multi-index models, focusing on polynomial-time methods and their limitations.

problem Estimating the index space in multi-index models efficiently and accurately.
method Polynomial-time algorithms in Gaussian space, nonparametric gradient estimation, and neural network fitting.
result A gap exists between computationally efficient methods and information-theoretical minimum.

Method improves volatility targeting for index construction.

problem High turnover, leverage spikes, and sensitivity to estimation error in existing volatility-targeting strategies.
method Proportional-control approach for setting index weights that corrects tracking error through feedback.
result The proportional-control approach achieves the target volatility more effectively than open-loop alternatives.

A concept of martingale-fair index of return, consistent with Arbitrage Free Pricing Theory, is introduced. An explicit formula for the average rate of return of a group of investment/pension funds in a discrete time stochastic model is derived and several properties of this index are shown. In particular, it is proven…

2015-01-15abs ↗pdf ↗

Bank transactions help predict macroeconomic indexes faster and more accurately.

problem Lag in macroeconomic index availability and autoregressive models' limitations in complex scenarios.
method Use financial transactions data to estimate macroeconomic indexes using neural networks and smart sampling.
result Neural network approach outperforms baseline methods on hand-crafted features based on transactions.

Volatility, fitting with first order Landau expansion, stationarity, and causality of the Taiwan stock market (TAIEX) are investigated based on daily records. Instead of consensuses that consider stock market index change as a random time series we propose the market change as a dual time series consists of the index a…

2003-04-06abs ↗pdf ↗

The study finds robust index bounds for minimal hypersurfaces in specific geometric spaces.

problem Finding lower bounds on the index of minimal hypersurfaces.
method Analyzing minimal isoparametric hypersurfaces, Lie groups, and quaternionic Grassmannians.
result Robust index bounds are established that are linear in the first Betti number.

In the spirit of the emergent field of econophysics, a goodness-of-fit test for the Power-Law distribution, based on the Empirical Distribution Function (EDF) is presented, and related problems are discussed. An analysis of the tail behaviour of the daily logarithmic variation of the Mexican Stock Market Index (IPC), s…

2003-03-27abs ↗pdf ↗

A new tail-shape index based on Value at Risk and Expected Shortfall.

problem Measuring and comparing tail behavior of loss distributions.
method Introducing a new θθ-index based on equal level relationships between Value at Risk and Expected Shortfall.
result The θθ-index provides a level-dependent, scale-free measure of upper tail behavior.

The study analyzes spectral asymmetry and index theory on manifolds with generalized hyperbolic cusps.

problem Analyzing spectral asymmetry and index theory on manifolds with generalized hyperbolic cusps.
method Equivariant index theorem for Dirac operators on manifolds with φ\varphi-cusps under conditions on φ\varphi.
result The cusp contribution is zero if the spectrum of the relevant Dirac operator on a hypersurface is symmetric around zero.

We propose a new class of mappings, called Dynamic Limit Growth Indices, that are designed to measure the long-run performance of a financial portfolio in discrete time setup. We study various important properties for this new class of measures, and in particular, we provide necessary and sufficient condition for a Dyn…

2013-12-04abs ↗pdf ↗

The study finds no evidence of stochastic arbitrage opportunities in S&P 500 index options.

problem Identifying arbitrage opportunities in S&P 500 index options.
method Developed linear and mixed-integer linear programs to compute the maximum option premium.
result No evidence of systematic stochastic arbitrage opportunities in S&P 500 index options.

New clustering method for financial data with known cluster number.

problem Clustering financial data with known number of clusters.
method Introduced a covariance-based dissimilarity measure for multifractional Brownian motions.
result Asymptotically consistent clustering algorithms for multifractional Brownian motions.

The waiting time needed for a stock market index to undergo a given percentage change in its value is found to have an up-down asymmetry, which, surprisingly, is not observed for the individual stocks composing that index. To explain this, we introduce a market model consisting of randomly fluctuating stocks that occas…

2006-04-18abs ↗pdf ↗

New algorithm finds best subset in high-dimensional data models.

problem Finding the best subset of predictors in high-dimensional data models.
method Proposes a scalable algorithm using a generalized information criterion.
result Directly proves consistency and oracle property for the best-subset selection.

The Knowledge Gradient policy is improved for MABs by avoiding dominated actions.

problem Weaknesses in KG policy for MABs, including taking dominated actions.
method Proposed variants of KG that avoid taking dominated actions, including an index heuristic.
result New policies perform well over a range of MABs, including those for which index policies are not optimal.

Random forests are a type of ensemble method which makes predictions by combining the results of several independent trees. However, the theory of random forests has long been outpaced by their application. In this paper, we propose a novel random forests algorithm based on cooperative game theory. Banzhaf power index …

2015-07-22abs ↗pdf ↗

Develops methods for estimating volatility models in high dimensions.

problem Estimating volatility in high-dimensional settings with heavy-tailed data.
method Uses Stein's identities for variance index estimation in high-dimensional settings.
result Matches minimax optimal rate for mean index estimation in high-dimensional settings.

Study forecasts U.S. bond index using deep learning, finding persistence is key.

problem Forecasting U.S. aggregate bond index with deep learning methods.
method Constructed a stationary but maximally persistent representation of the bond index, evaluated using MLPs and CNNs.
result Deep learning models outperform traditional methods in short-horizon forecasting of bond indices.

Improved linear upper bound for ribbonlength of knots.

problem Estimating the ribbonlength of knots and links.
method Using four-page open book decompositions and spanning trees of checkerboard graphs, constructing a four-page presentation with at most 2c(K) arcs.
result Proved that ribbonlength is bounded above by the four-page index, leading to the linear bound Rib(K) ≤ 2c(K).

New algorithm learns from sparse data without knowing sparsity index.

problem Sparse bandit problem where only a subset of features affects reward.
method Sparsity-agnostic Lasso Bandit algorithm that doesn't require prior sparsity index knowledge.
result Established tight regret bounds and outperforms existing methods.

We study the distribution of fluctuations over a time scale ΔtΔt (i.e., the returns) of the S&P 500 index by analyzing three distinct databases. Database (i) contains approximately 1 million records sampled at 1 min intervals for the 13-year period 1984-1996, database (ii) contains 8686 daily records for the 35-year pe…

1999-05-20abs ↗pdf ↗

Researchers develop a numerical method to compute the index of self-shrinkers, finding it to be 5 for the Angenent torus.

problem Computing the index of unstable self-shrinkers in mean curvature flow.
method Numerical method for computing the Morse index of rotationally symmetric self-shrinkers.
result The index of the Angenent torus is 5, with two additional variations found.

Constructs an analytic index for infinite dimensional manifolds with LTLT-action.

problem Analyzing infinite dimensional manifolds with LTLT-action.
method Defines an analytic LTLT-equivariant index using a Hilbert space, Dirac operator, and crossed product.
result Justifies the analytic index in terms of noncommutative geometry.

The paper characterizes toroidal sets as attractors for flows and homeomorphisms of R^3.

problem Characterizing toroidal sets as attractors for flows and homeomorphisms in R^3.
method Defined self-geometric index and genus to analyze toroidal sets and their attractor properties.
result Characterized toroidal sets that can be realized as attractors for flows but not for homeomorphisms.

One index satisfies the duality axiom if one agent, who is uniformly more risk-averse than another, accepts a gamble, the latter accepts any less risky gamble under the index. Aumann and Serrano (2008) show that only one index defined for so-called gambles satisfies the duality and positive homogeneity axioms. We call …

2014-06-17abs ↗pdf ↗