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.

168,742 papers · 148 categories

Trend · papers per month

3571106141 · May 202619922001200920172026
48 results for Rice's Theorem

This paper studies the interrelation between spot and futures prices in the two major rice markets in prewar Japan from the perspective of market efficiency. Applying a non-Bayesian time-varying model approach to the fundamental equation for spot returns and the futures premium, we detect when efficiency reductions in …

2014-04-22abs ↗pdf ↗

Study compares machine learning and process-based models for predicting rice blast disease.

problem Predicting rice blast disease to support rice growers in controlling the disease.
method Compared four models: two process-based (Yoshino and WARM) and two machine learning (M5Rules and RNN).
result Machine learning models outperformed process-based models in predicting rice blast disease.

This paper examines the integration process of the Japanese major rice markets (Tokyo and Osaka) from 1881 to 1932. Using a non-Bayesian time-varying vector error correction model, we argue that the process strongly depended on the government's policy on the network system of the telegram and telephone; rice traders wi…

2016-04-01abs ↗pdf ↗

Two impossibility theorems show formal alignment certification is impossible for AI systems.

problem Formal certification of AI alignment over open-ended domains is impossible.
method Two independent impossibility theorems: Semantic and Statistical barriers.
result No procedure can simultaneously satisfy soundness, completeness, and tractability.

The Lugannani-Rice formula is a saddlepoint approximation method for estimating the tail probability distribution function, which was originally studied for the sum of independent identically distributed random variables. Because of its tractability, the formula is now widely used in practical financial engineering as …

2013-10-12abs ↗pdf ↗

Study improves paddy rice yield predictions in Peru using sparse regression and climatic variables.

problem Improving precision of paddy rice yield forecasts in Peru.
method Sparse regression, Elastic-Net regularization, climatic variables, dynamic transformations.
result Improved predictive performance of paddy rice yield forecasts.

The study of topological properties of random smooth maps, focusing on Kac-Rice formula and Betti numbers.

problem Topological and geometric properties of random smooth maps.
method Developed a general framework for differential geometric and topological issues of smooth Gaussian Random Fields, generalized Kac-Rice formula, applied to Kostlan random polynomials, and proved an original theorem in Differential Topology.
result The Betti numbers of the solution of a system of regular equations cannot decrease under a C0\mathcal{C}^0-small perturbation of the equations.

Study finds intrinsic multifractality in maize and barley spot markets, but not in wheat and rice.

problem Understanding the complex price behavior of global grain spot markets.
method Utilized multifractal fluctuation analysis (MF-DFA) to investigate intrinsic multifractality.
result Intrinsic multifractality found in maize and barley sub-indices, but not in wheat and rice.

Method analyzes complexity of empirical risk landscapes for generalized linear models.

problem Understanding the complexity of empirical risk landscapes in generalized linear models.
method Kac-Rice method and replicated method from theoretical physics.
result Explicit variational formulas for the number of critical points of empirical risk landscapes.

MO-GP models fill gaps in biophysical data with across-domain info transfer.

problem Gap filling of biophysical parameters LAI and fAPAR over rice areas.
method Multi-output Gaussian Processes (MO-GP) based on Linear Model of Coregionalization (LMC).
result MO-GP models successfully predict biophysical variables even in high missing data regimes.

The paper analyzes local minima in high-dimensional empirical risk minimization.

problem Understanding local minima in high-dimensional data models.
method Using Kac-Rice formula and proportional asymptotics, the paper derives bounds on local minima.
result Sharp asymptotics on estimation and prediction errors are derived.

Study on variance of Laplace eigenfunctions on manifolds.

problem Investigating the variance of Laplace eigenfunctions on compact manifolds.
method Combining Kac-Rice formula, Wiener-Itô chaos decompositions, and pointwise Weyl law analysis.
result Established a quantitative bound for the fluctuations of nodal volumes, improving existing results.

We analyze the landscape of empirical risk minimization for high-dimensional models, predicting phase transitions and critical point properties.

problem Understanding the complexity and structure of high-dimensional empirical risk landscapes.
method Using the Kac-Rice formula, we analyze the expected number of critical points and their spectral properties, providing detailed predictions.
result We derive complete topological phase diagrams for the phase retrieval problem, predicting BBP-type transitions and critical point stability.

Recent work in distance metric learning has focused on learning transformations of data that best align with specified pairwise similarity and dissimilarity constraints, often supplied by a human observer. The learned transformations lead to improved retrieval, classification, and clustering algorithms due to the bette…

2017-01-07abs ↗pdf ↗

Non-convex optimization with local search heuristics has been widely used in machine learning, achieving many state-of-art results. It becomes increasingly important to understand why they can work for these NP-hard problems on typical data. The landscape of many objective functions in learning has been conjectured to …

2017-06-18abs ↗pdf ↗

Analyzing available FAO data from 176 countries over 21 years, we observe an increase of complexity in the international trade of maize, rice, soy, and wheat. A larger number of countries play a role as producers or intermediaries, either for trade or food processing. In consequence, we find that the trade networks bec…

2019-01-17abs ↗pdf ↗

Consider a d×dd\times d matrix MM whose rows are independent centered non-degenerate Gaussian vectors ξ1,...,ξdξ_1,...,ξ_d with covariance matrices Σ1,...,ΣdΣ_1,...,Σ_d. Denote by Ei\mathcal{E}_i the location-dispersion ellipsoid of ξi:Ei=xRd:xΣi1x1ξ_i:\mathcal{E}_i={\mathbf{x}\in\mathbb{R}^d : \mathbf{x}^\topΣ_i^{-1} \mathbf{x}\leqslant1}. We sh…

2012-06-02abs ↗pdf ↗

Study examines spillovers between BRICS and U.S. staple grain futures markets.

problem Contemporaneous and lagged spillover effects in BRICS staple grain futures markets and their linkages with U.S. markets.
method Examines contemporaneous and lagged spillover effects using econometric models.
result Contemporaneous spillovers dominate, and net spillovers are driven by lagged connectedness. Systemic risk is lower in intra-BRICS markets compared to those including the U.S.

Study finds multifractal cross-correlations between agricultural markets and external uncertainties.

problem Investigating relationships between agricultural spot markets and external uncertainties.
method Multifractal detrending moving-average cross-correlation analysis (MF-X-DMA).
result Maize exhibits intrinsic joint multifractality with all uncertainty proxies.

The paper classifies U.S. crop types using hyperspectral satellite imagery.

problem Classifying crop types from hyperspectral satellite imagery.
method Gaussian Bayesian models and neural networks applied to NASA data.
result Bayesian methods outperform standard LDA and QDA.

Study on complexity of random polynomials with deterministic spikes, identifying phase transitions.

problem Complexity of random Gaussian polynomials with deterministic spikes on a sphere.
method Variational formulas, Kac-Rice formula, determinant asymptotics of finite-rank perturbation of Gaussian Wigner matrices.
result Identification of a topological phase transition in the complexity function.

We establish formulas that give the intrinsic volumes, or curvature measures, of sublevel sets of functions defined on Riemannian manifolds as integrals of functionals of the function and its derivatives. For instance, in the Euclidean case, if fC3(Rn,R)f \in \mathcal{C}^3(\mathbb{R}^n, \mathbb{R}) and 0 is a regular value of…

2019-03-04abs ↗pdf ↗

Study analyzes climate impact on agricultural prices, offering insurance solutions.

problem Financial risk from climate-induced agricultural price volatility.
method Historical and future climate projections, EGARCH and SARIMAX models, Black-Scholes framework.
result Improved agricultural risk modeling and insurance mechanisms.

Study analyzes landscape complexity of empirical loss functions with correlated data.

problem Understanding the complexity of loss landscapes in machine learning with structured data.
method Kac-Rice formula and random matrix theory applied to high-dimensional empirical loss functions.
result Characterizes the average number of critical points in loss functions with structured data.

Russia-Ukraine conflict impacts global agricultural futures and spot markets' extreme risks.

problem Impact of Russia-Ukraine conflict on global agricultural futures and spot markets' extreme risks.
method Analytical framework for tail dependence, Copula-CoVaR method, ARMA-GARCH-skewed Student-t model.
result The outbreak of the conflict intensified risks in the wheat market the most and showed significant asymmetries in extreme risk spillovers.

Gradient boosting algorithm for spatial panel models improves estimation in high-dimensional settings.

problem Estimation failure in high-dimensional spatial panel models.
method Model-based gradient boosting algorithm for spatial panel models with random and fixed effects.
result Feasibility and interpretability in both low- and high-dimensional settings.

Study measures risk spillovers between US and China's agricultural futures markets.

problem Interconnectedness and risk transmission in agricultural futures markets.
method TVP-VAR-DY model with quantile method.
result CBOT corn, soybean, and wheat are primary risk transmitters; DCE corn and soybean are main receivers.

Proposes a new complex Gaussian distribution for better modeling of complex-valued signals.

problem Limited ability of Gaussian distribution to represent diverse amplitude characteristics.
method Introduces a power-weighted noncentral complex Gaussian distribution on the complex plane.
result Consistently outperforms conventional distributions in log-likelihood for speech power spectra.

PolarBM models complex-valued audio signals in polar coordinates, improving over conventional methods.

problem Discarding structural information in complex-valued problems simplifies models but loses important amplitude-phase relationships.
method Proposes PolarBM, a novel Boltzmann machine for complex-valued variables in polar coordinates, and LogPolarBM for logarithmic amplitude.
result PolarBM and LogPolarBM achieve superior modeling accuracy compared to conventional models, including deep neural networks.

Study shows how price protection affects online learning algorithms for dynamic pricing.

problem Impact of price protection guarantee on online learning algorithms for dynamic pricing.
method Characterized the effect of price protection period length on optimal regret, proposed LEAP algorithm.
result Optimal regret is Θ(√T + min{M, T^2/3}) with LEAP matching lower bounds up to logarithmic factors.