Study finds bounds for fundamental tone on special Riemannian manifolds.
problem Finding bounds for fundamental tones on specific Riemannian manifolds.
method Developed a general lower bound for the fundamental tone of the p-Laplacian.
result Results applied to negatively curved manifolds, warped products, and Riemannian submersions.
The aim of this paper is to obtain the fundamental tone for minimal submanifolds of the Euclidean or hyperbolic space under certain restrictions on the extrinsic curvature. We show some sufficient conditions on the norm of the second fundamental form that allow us to obtain the same upper and lower bound for the fundam…
Study fundamental tones of clamped plates on curved spaces.
problem Prove fundamental tone bounds and isoperimetric inequalities on curved spaces.
method Prove spectral gap estimates and isoperimetric inequalities.
result Fundamental tone bounds and isoperimetric inequalities for clamped plates on nonpositively curved spaces.
Develops a Barta theorem for p-Laplacian on manifolds.
problem Sharp lower bounds for p-fundamental tone on Riemannian manifolds.
method Extends Barta-type formulation to nonlinear setting on Riemannian manifolds.
result Sharp lower bounds for p-fundamental tone without boundary regularity assumptions.
We give lower bounds for the fundamental tone of open sets in submanifolds with locally bounded mean curvature in N×R, where N is an n-dimensional complete Riemannian manifold with radial sectional curvature KN≤κ. When the immersion is minimal our estimates are sharp. We also show that …
The paper studies submanifolds in Hadamard and product manifolds, finding eigenvalue bounds.
problem Eigenvalue estimates for submanifolds in specific geometric settings.
method Investigation of submanifolds with bounded mean curvature in Hadamard manifolds and product manifolds NimesR. result Lower bounds for the weighted fundamental tone and the first eigenvalue of the p-Laplacian. We study the volume of extrinsic balls and the capacity of extrinsic annuli in minimal submanifolds which are properly immersed with controlled radial sectional curvatures into an ambient manifold with a pole. The key results are concerned with the comparison of those volumes and capacities with the corresponding entit…
Research connects geometry and sound frequencies of shapes.
problem Linking geometric shapes to their sound frequencies.
method Analyzes algebra of multipliers and spectral properties of Dirichlet integral.
result Proves homeomorphisms preserving fundamental tones in Euclidean domains.
Media tone around earnings announcements predicts stock returns.
problem Determining if media tone around earnings announcements provides useful information for stock prices.
method Conducted an event study on media tone around earnings announcements for nonfinancial S&P 500 firms.
result Media tone around earnings announcements predicts abnormal stock returns.
We show that a complete submanifold M with tamed second fundamental form in a complete Riemannian manifold N with sectional curvature KN≤κ≤0 are proper, (compact if N is compact). In addition, if N is Hadamard then M has finite topology. We also show that the fundamental tone is an obstruction fo…
We compute the first Dirichlet eigenvalue of a geodesic ball in a rotationally symmetric model space in terms of the moment spectrum for the Brownian motion exit times from the ball. This expression implies an estimate as exact as you want for the first Dirichlet eigenvalue of a geodesic ball in these rotationally symm…
We give lower bounds for the fundamental tone of open sets in minimal submanifolds immersed into warped product spaces of type Nn×fQq, where f∈C∞(N). We also study the essential spectrum of these minimal submanifolds.
We obtain geometric estimates for the first eigenvalue and the fundamental tone of the p-laplacian on manifolds in terms of admissible vector fields. Also, we defined a new spectral invariant and we show its relation with the geometry of the manifold.
We establish a method for giving lower bounds for the fundamental tone of elliptic operators in divergence form in terms of the divergence of vector fields. We then apply this method to the Lr operator associated to immersed hypersurfaces with locally bounded (r+1)-th mean curvature Hr+1 of the space forms …
Extremal spectral properties of the Lawson tori are studied. A Lawson torus carries an extremal metric for some eigenvalue of the Laplace-Beltrami operator. The main result of this paper is that the number of this eigenvalue is expressed in terms of fundamental tones of auxiliary periodic Sturm-Liouville problems.
The paper proves spectral properties of negatively curved manifolds and their covers.
problem Spectral properties of negatively curved manifolds and their covers.
method Heat-kernel positivity and stationary probability measure analysis.
result The variational p-fundamental tone equals the lower bound for hyperbolic manifolds.
In this paper we obtain lower bound estimates of the spectrum of Laplace-Beltrami operator on complete submanifolds with bounded mean curvature, whose ambient space admits a Riemannian submersion over a Riemannian manifold with negative sectional curvature. Our main theorem generalizes many previous known estimates and…
Algorithm finds frequencies, amplitudes, and phases of sinusoids in noisy data.
problem Finding frequencies, amplitudes, and phases of sinusoids in noisy data.
method Maximum likelihood approach to estimate tone parameters from contaminated observations. Successively estimates frequencies and jointly optimizes amplitudes and phases.
result Near-linear computational complexity (O(N)) for estimating M number of sinusoidal sources. Research shows SBP's tone impacts stock market returns positively or negatively.
problem Impact of State Bank of Pakistan's monetary policy communications on stock market.
method Sentiment analysis and high frequency stock market returns analysis.
result Positive or negative tone in SBP communications affects stock returns positively or negatively.
The paper introduces two-tone colorings for links and shows conditions for surjective dihedral representations.
problem The challenge is to find conditions for links to admit surjective dihedral representations.
method The method involves introducing two-tone colorings and providing conditions for the link groups to admit such representations.
result Any link with at least 3 components admits a surjective homomorphism to the dihedral group of arbitrary degree.
The paper investigates skin tone estimation and its impact on dermatology model performance.
problem The impact of skin tone on dermatology model performance is not well understood.
method The authors use individual typology angle (ITA) to estimate skin tone in dermatology datasets and analyze model performance.
result There is no measurable correlation between model performance and ITA values.
In this paper we show that a complete and non-compact surface immersed in the Euclidean space with quadratic extrinsic area growth has finite total curvature provided the surface has tamed second fundamental form and admits total curvature. In such a case we obtain as well a generalized Chern-Osserman inequality. In th…
Study finds object detection systems have higher error rates for darker-skinned pedestrians.
problem Predictive bias in object detection systems for pedestrians with different skin tones.
method Annotated a large dataset and compared performance between skin tone groups, investigating factors like time of day and occlusion.
result Predictive bias in object detection systems is not solely due to more difficult scenes for darker-skinned pedestrians.
The study predicts how discussions in mental disorder Reddit communities affect users' emotional states.
problem Improving mental health conditions through social support analysis.
method Text embedding techniques and RNNs for predicting emotional tone shifts.
result Users' emotional states can improve due to social support, as evidenced by positive comments following negative posts.
Paper proposes a fast method to detect changes in audiometric function.
problem Detecting changes in psychometric function estimation quickly and accurately.
method Bayesian active differential selection for pure-tone audiogram testing.
result Fewer tones can detect changes in audiometric function with high confidence.
We study the effect of two types of degeneration of the Riemannian metric on the first eigenvalue of the Laplace operator on surfaces. In both cases we prove that the first eigenvalue of the round sphere is an optimal asymptotic upper bound. The first type of degeneration is concentration of the density to a point with…
We extend the Chern-Heinz inequalities about mean curvature and scalar curvature of graphs of C2-functions to leaves of transversally oriented codimension one C2-foliations of Riemannian manifolds. That extends partially Salavessa's work on mean curvature of graphs and generalize results of Barbosa-Kenmotsu-O…
Analysts use vague language in reports to convey useful information about future payoffs.
problem Lack of precise numerical forecasts in analyst reports.
method Empirical analysis of analyst reports to assess the predictive power of linguistic tone.
result The textual tone of analyst reports has predictive power for forecast errors and subsequent revisions, especially when language is vague and uncertainty is high.
We prove Cheng's eigenvalue comparison theorems for geodesic balls within the cut locus under weaker geometric hypothesis, and we also show that there are certain geometric rigidity in case of equality of the eigenvalues. This rigidity becomes isometric rigidity under upper sectional curvature bounds or lower Ricci cur…
Improved binning technique boosts nUV measure performance.
problem Improving the performance of the nUV measure in real applications.
method Introduced the nUV measure, provided theoretical optimal binning techniques, and proposed algorithms for approximate solutions.
result Approximate binning techniques show 4-13% increase in AUC scores with statistical significance.
Additive asynchronous and cyclostationary impulsive noise limits communication performance in OFDM powerline communication (PLC) systems. Conventional OFDM receivers assume additive white Gaussian noise and hence experience degradation in communication performance in impulsive noise. Alternate designs assume a parametr…
Study uses ML to predict currency and bond returns from news sentiment.
problem Predicting financial returns from news sentiment.
method Pretrained FinBERT model on finance-specific language, XGBoost classifier, SHAP for interpretability.
result XGBoost strategy outperforms benchmarks with Sharpe ratios > 5.
Book introduces online learning via convex optimization, focusing on regret minimization.
problem Minimizing regret in online learning under worst-case assumptions.
method Unified view of online learning through convex optimization, including adaptive and parameter-free algorithms.
result Unified understanding of various online learning algorithms and their applications.
We introduce supervised latent Dirichlet allocation (sLDA), a statistical model of labelled documents. The model accommodates a variety of response types. We derive an approximate maximum-likelihood procedure for parameter estimation, which relies on variational methods to handle intractable posterior expectations. Pre…
Affirm Lord Rayleigh's conjecture on curved spaces for clamped plates.
problem Lord Rayleigh's conjecture for vibrating clamped plates on curved spaces.
method Nodal-decomposition argument, Lévy-Gromov isoperimetric inequality, Gaussian hypergeometric functions, sharp spectral gap estimates.
result Positive curvature enhances genuine differences between low- and high-dimensional settings.
Study finds financial YouTube channel 3PROTV predicts stock market performance and sentiment changes.
problem Determining the informational value of financial YouTube channels.
method Analyzing 3PROTV's content and its impact on stock market performance and sentiment.
result 3PROTV's content, particularly negative sentiment, predicts stock market performance and sentiment changes.
Study reveals unique gender disparities in Bangladeshi TV advertisements and talk shows.
problem Gender disparity and skin color distribution in Bangladeshi TV content.
method Computer Vision, machine learning, head pose, gender detection, skin color estimation.
result Lighter skin tones are less prevalent than darker in Bangladeshi TV, contrary to popular perception.
A new UNet variant reduces spectral artifacts in image transformations.
problem Spectral artifacts caused by traditional UNet upsampling layers.
method Introduced a Guided UNet (GUNet) architecture using a novel upsampling module.
result GUNet produces higher fidelity outputs in image transformations.
HawkesLLM models text generation with temporal influence, improving semantic alignment under limited memory.
problem Path-dependent uncertainty in agentic text-simulation systems.
method HawkesLLM framework separates temporal influence modeling from text generation, using a multivariate Hawkes process and a language model.
result HawkesLLM improves late-stage semantic alignment under a compact prompt-memory budget.
We propose a novel receiver for orthogonal frequency division multiplexing (OFDM) transmissions in impulsive noise environments. Impulsive noise arises in many modern wireless and wireline communication systems, such as Wi-Fi and powerline communications, due to uncoordinated interference that is much stronger than the…
GANs can bias synthetic data, affecting minority and female faces.
problem GANs can amplify biases in synthetic data augmentation.
method Examine GANs on face-shots with gender and skin tone biases.
result GANs generate biased synthetic data, skewing minority modes and features.
New distress dictionary improves bankruptcy prediction from disclosure text.
problem Bankruptcy prediction from financial disclosures.
method Proposes a distress dictionary based on managers' sentences, quantifies linguistic features, and builds predictive models.
result Predictive models based on the distress dictionary outperform existing methods.
An improved algorithm for acoustic model parameter estimation.
problem Acoustic physical model parameter estimation for sound design.
method Multi-stage algorithm with deep learning, heuristics, and stochastic optimization.
result Optimization method refines deep learning estimates and improves objective metrics.
Test for fairness in IR systems based on protected variables.
problem Unfairness in IR systems due to correlation with protected variables.
method Statistical test for 'distribution parity' in top-K IR results.
result Ensures fairness in IR systems for all users.
This paper introduces GLT for better input data representation in BNN and proposes a compact topology with block pruning.
problem Improving input data representation for Binary Neural Networks (BNN).
method Generic Learned Thermometer (GLT) for encoding, block pruning and Knowledge Distillation for compact topology.
result Significant accuracy gains and lightweight fully-binarized models with limited accuracy degradation.
Study uses multiple online media to predict crude oil prices.
problem Forecasting crude oil prices using online media.
method Semantic analysis and ARIMAX models on Twitter, Google Trends, Wikipedia, and GDELT.
result Combined analysis from four platforms improves price prediction.
Hybrid model improves geopolitical conflict forecasting.
problem Forecasting geopolitical events from sparse, bursty data.
method Sparse Temporal Fusion Transformer (TFT) + Variational Nearest Neighbor Gaussian Process (VNNGP).
result Consistently outperforms standalone TFT in long-range horizons.
Study forecasts sub-city real estate prices weekly using radar and news sentiment.
problem Limited availability of reliable real estate price indicators at neighborhood and long horizons.
method Combining satellite radar signals and news sentiment to forecast sub-city real estate prices.
result The multimodal model reduces mean absolute error by 35% at long horizons (26-34 weeks).