Equally weighted S&P 500 outperforms market cap weighted portfolio.
problem Finding better portfolio weighting methods than market cap weighting.
method Empirical study comparing equally weighted S&P 500 to market cap weighted S&P 500, and introducing MaxMedian rule.
result MaxMedian rule outperforms equally weighted S&P 500 over 1958-2016 horizon.
This study proposes an equal-weight portfolio strategy to reduce risk compared to traditional ETFs.
problem Risk of passive ETFs not matching optimal portfolio weights.
method Introduced an equal-weight portfolio strategy to reduce idiosyncratic risk.
result Equal-weight portfolio has lower risk than traditional ETFs, especially during idiosyncratic events.
New method learns to weight unlabeled data in semi-supervised learning.
problem Equal weighting of all unlabeled data in semi-supervised learning.
method Adjust weights for each unlabeled example using influence function.
result Technique outperforms state-of-the-art methods on image and language classification tasks.
Study combines expert advice to avoid discrimination without violating equalized error rates.
problem Combining expert advice to avoid discrimination without violating equalized error rates.
method Running separate instances of the classical multiplicative weights algorithm for each group.
result Even for equalized error rates, algorithms with stronger performance guarantees than multiplicative weights cannot preserve non-discrimination.
The paper shows stocks denominated in growth optimal portfolio units have zero returns, supporting efficient market theory.
problem Understanding and predicting market efficiency and optimal portfolio performance.
method Demonstrates the growth optimal portfolio (GP) as a zero return proxy for efficient markets and proposes a hierarchical weighted index (HWI) as a better proxy.
result The Efficient Market Property is robust when using the HWI as a proxy for the GP, indicating market efficiency.
Maximizes probability of completing investment schedules with optimal portfolio weights.
problem Optimizing probability of completing investment schedules with optimal portfolio weights.
method Computing maximum probability and optimal portfolio weight functions for various rebalancing schedules.
result Noticeable improvements in probability to complete schedules with optimal portfolio weights.
Study of g-vector cones in cluster algebras from weighted orbifolds.
problem Determine the closure of g-vector cones in cluster algebras. method Analyzing g-vector cones in a cluster algebra defined from a weighted orbifold. result Closure of the union of g-vector cones is Rn except for specific weighted orbifolds. SCS identifies a range of plausible equally weighted portfolios, quantifying selection uncertainty.
problem Uncertainty in selecting the best equally weighted portfolio subset.
method Introduces Selection Confidence Set (SCS) for EWPs, covering plausible portfolios with high probability.
result SCS quantifies selection uncertainty and covers the unknown optimal selection with high probability.
Kernel balancing equalizes covariate distributions to unbiasedly estimate causal effects.
problem Non-uniform distribution of covariates between treated and control groups leads to biased causal effect estimates.
method Kernel balancing targets equal means of a kernel-based approximation of covariates for treated and control groups, producing unbiased ATT estimates.
result Kernel balancing produces weights that equalize the multivariate distribution of covariates for treated and control groups, leading to unbiased ATT estimation.
A new portfolio model DEWSP improves Sharpe ratio by 0.24% to 5.15%.
problem High sensitivity of optimized portfolios to estimation errors.
method Deep learning algorithms predict returns for top-N ranked assets, then equally weight them.
result DEWSPs provide an improvement rate of 0.24% to 5.15% in terms of monthly Sharpe ratio compared to HEWSPs.
Study on isoperimetric inequality on weighted Riemannian manifolds with negative effective dimension.
problem When does equality hold in the isoperimetric inequality on weighted Riemannian manifolds with negative effective dimension?
method Analyzes the conditions for equality in the isoperimetric inequality on weighted Riemannian manifolds with Ricci curvature bounded below.
result A weighted Riemannian manifold satisfying the isoperimetric inequality must be a warped product of hyperbolic nature.
We show that a weighted homogeneous complex surface singularity is metrically conical (i.e., bi-Lipschitz equivalent to a metric cone) only if its two lowest weights are equal. We also give an example of a pair of weighted homogeneous complex surface singularities that are topologically equivalent but not bi-Lipschitz …
Investigates portfolio optimization with and without gearing constraints.
problem Improving portfolio weights for better alignment with expected returns.
method Extends the alpha-weight angle bound to include gearing constraints and uses theoretical arguments and simulations.
result Equally weighted portfolios are not preferable to mean-variance portfolios even with poor forecast ability and a badly conditioned covariance matrix.
Optimal weighted random forests improve prediction accuracy.
problem Unequal prediction performance among random forest trees.
method Proposes 1-step and 2-step optimal weighting algorithms.
result Asymptotically optimal in terms of squared loss and risk.
A method for optimal Bayesian filtering using progressive particle flow and optimal transport maps.
problem Optimizing Bayesian filtering with deterministic particles to avoid degeneration.
method Progressive flow of particles through a sequence of sub-steps, each using an optimal transport map to replace non-equally weighted particles with equally weighted ones.
result The method avoids particle degeneration and simplifies the filtering process by not requiring inversions or monotonicity constraints.
The study provides foundations for naive diversification, a preference for equal treatment of alternatives.
problem Understanding and mathematically grounding naive diversification preferences.
method Axiomatization of naive diversification as a preference for equality over inequality, and derivation of its relationship to classical diversification.
result Naive diversification is a preference for equality over inequality, and it is characterized by convex and permutation invariant preferences.
We give a counter example to a conjecture of E. Bueler stating the equality between the DeRham cohomology of complete Riemannian manifold and a weighted L2 cohomology where the weight is the heat kernel.
Algorithm analyzes trading profits from size factor using equal-weighted portfolios.
problem Estimating trading profits from systematic rebalancing contributions.
method Uses INTECH's algorithm on equal-weighted portfolios combining size factor exposure.
result Natural test subject for Stochastic Portfolio Theory.
New insights into MAE show it treats examples unequally and IMAE improves this.
problem Noise-robust learning in deep learning models.
method Analysis of MAE's noise-robustness and proposing IMAE to improve it.
result IMAE improves MAE's fitting ability while preserving its noise-robustness.
Estimates essential spectrum of weighted Laplacian on noncompact manifolds.
problem Finding bounds for essential spectrum of weighted Laplacian.
method Volume growth of geodesic balls and spheres, examples of equality.
result Upper estimates for the bottom of essential spectrum.
Study on manifolds with density using modified Hessians for curvature comparison.
problem Developing comparison geometry on manifolds with density.
method Modified Hessian approach based on weighted sectional curvature framework.
result Derivation of Hessian comparison and shape operator comparison theorems.
Study on rigidity of logarithmic Sobolev inequality on manifolds.
problem Rigidity of logarithmic Sobolev inequality on weighted Riemannian manifolds.
method Needle decomposition method.
result Splitting off of 1-dimensional Gaussian space when equality holds.
Dropout biases neural networks by equalizing hidden node weights.
problem Understanding implicit bias in dropout for neural networks.
method Characterization of optimization landscape for linear neural networks with dropout.
result Dropout equalizes the norm of hidden node weight vectors.
Adaptive ensemble improves flu forecasts with minimal data.
problem Accurate flu forecasts to help public health.
method Adaptive stacking of ensembles, changing model weights weekly.
result Adaptive ensemble outperforms static ensembles in flu forecasts.
This study evaluates different portfolio designs for Indian stocks.
problem Optimizing portfolio weights for risk and return in volatile stock markets.
method Three portfolio design approaches: risk minimization, risk optimization, and equal weighting. Historical data from 2017-2022 used.
result Equal-weight portfolios outperformed other designs in most sectors.
In our previous paper, we discussed the hyperbolization of the configuration space of n(> 4) marked points with weights in the projective line up to projective transformations. A variation of the weights induces a deformation. It was shown that this correspondence of the set of the weights to the Teichmüller space when…
Enhanced visual feature attribution via adaptive baseline weighting.
problem IG's sensitivity to baseline images leads to noisy or unstable explanations.
method Weighted Integrated Gradients (WG) evaluates and weights baselines for improved reliability.
result WG improves over Expected Gradients (EG) by up to 36% across various models.
Positive weights improve kernel quadrature's accuracy.
problem Improving kernel quadrature weights to be positive and stable.
method Using convex geometry to approximate the kernel mean embedding with positive weights.
result Positive weights lead to improved kernel quadrature bounds with Monte-Carlo-beating rates.
The paper proves a condition for when the braid index equals the number of Seifert circles in a reduced alternating link diagram.
problem Determining when the braid index of an alternating link matches the number of Seifert circles in its reduced diagram.
method Characterization using the Seifert graph and MFW inequality, combined with Yamada's result.
result A characterization of alternating links where braid index equals the number of Seifert circles.
The paper proves inequalities for hypersurfaces in weighted manifolds.
problem Willmore-type inequalities for closed hypersurfaces in weighted manifolds.
method Analyzes weighted manifolds with nonnegative Bakry-Émery Ricci curvature, proving sharp inequalities and characterizing equality cases.
result Derives sharp Willmore-type and Willmore-like inequalities in steady and shrinking gradient Ricci solitons.
New method improves accuracy of quantized neural networks.
problem Accuracy drop in quantized neural networks, especially MobileNet family.
method Weight equalizing shift scaler, binary shifting to recover output range.
result Top-1 accuracy improved from 0.1% to 69.78% ~ 70.96% in MobileNets.
The paper studies f-stability of hypersurfaces in gradient Ricci solitons.
problem Estimating the f-stability index of constant weighted mean curvature hypersurfaces. method Analyzes hypersurfaces in shrinking gradient Ricci solitons with parallel fields.
result Provides an estimate for the f-stability index and necessary conditions for equality. Given a time series of graphs G(t) = (V, E(t)), t = 1, 2, ..., where the fixed vertex set V represents "actors" and an edge between vertex u and vertex v at time t (uv \in E(t)) represents the existence of a communications event between actors u and v during the tth time period, we wish to detect anomalies and/or chang…
A new portfolio weighting strategy outperforms others, following Tukey's ladder.
problem The performance of market capitalization-weighted portfolios.
method Investigated Tukey's transformational ladder for portfolio weights.
result 1/x^2 weighting strategy outperforms all others, with 18% cumulative growth.
Proposes HeteroJIVE for joint subspace estimation in multi-view data with statistical and structural heterogeneity.
problem Joint subspace estimation in multi-view data with varying statistical and structural heterogeneity.
method HeteroJIVE: A weighted two-stage spectral algorithm addressing statistical and structural heterogeneity.
result HeteroJIVE achieves the O(K−1/2) rate without iterative refinement, validating the oracle-optimal weighting scheme. Examines how transaction costs affect systematic portfolios.
problem Impact of proportional transaction costs on systematic portfolios.
method Empirical study with various portfolio types and configurations.
result Proposes a method to smooth transaction costs.
In this paper we study complete manifolds equipped with smooth measures whose spectrum of the weighted Laplacian has an optimal positive lower bound and the m-dimensional Bakry-Émery Ricci curvature is bounded from below by some negative constant. In particular, we prove a splitting type theorem for complete smooth m…
Alexander polynomial equals spanning tree count at t=1.
problem Alexander polynomial for spatial graphs.
method Combinatorial constructions generalized to weighted graphs.
result Value of Alexander polynomial at t=1 equals weighted spanning tree count.
Extremal weight projectors generalized for gl(N).
problem Categorify torus skein algebras for gl(N).
method Diagrammatic idempotents in affine extension of Temperley-Lieb category.
result Categorification of power-sum symmetric polynomials.
Study on a weighted Suita conjecture for higher derivatives and their geometric properties.
problem Analyzing the Suita conjecture for higher derivatives with weights.
method Examining the set of points for equality in a weighted Suita conjecture and relating it to harmonic functions and Dirichlet problems.
result Relations between the set of points and integer-valued points of harmonic functions and Dirichlet problems for planar domains.
New mass and staticity concepts derived from weighted curvature maps.
problem Deriving mass and staticity concepts for weighted manifolds.
method Developed a weighted curvature map and its adjoint, leading to weighted mass and static metrics.
result Equivalence and uniqueness theorems for weighted static manifolds and Penrose inequality.
Study shows non-synchronous trading and portfolio effects explain market index behavior.
problem Explaining the difference in market efficiency between NYSE index types.
method Long-term analysis of NYSE indexes, rolling window variance tests, portfolio simulations.
result Joint effects of portfolio and non-synchronous trading explain index behavior.
Simpler classification rule using kernel mean is explored for consistency, robustness, and sparsification.
problem Complex classification algorithms are hard to explain.
method Using a weighted average of kernel evaluations, the mean is a simpler alternative.
result The mean classifier is consistent, robust, and can be made sparse.
AF improves classification models by adaptively weighting trees.
problem Improving classification model performance.
method AF combines OP2T for input-dependent weights and MIO for dynamic refinement.
result AF consistently outperforms RF, XGBoost, and other weighted RF.
WP-SGD optimizes SGD for unevenly distributed data in distributed systems.
problem Inequalities in node performance and data consumption in parallel SGD.
method Combines weighted model parameters from different nodes to compensate for performance inconsistencies.
result WP-SGD significantly outperforms traditional parallel SGD in systems with uneven workloads.
Diversified risk parity strategies outperform equally-weighted portfolios in various asset universes.
problem Finding optimal portfolio allocations that balance risk and reward.
method Integrates various reward-risk measures and generic allocation rules into diversified risk parity.
result Diversified reward-risk parity strategies exhibit higher average returns, Sharpe ratios, and Calmar ratios compared to equally-weighted risk portfolios.
AI models outperform simple rules in cross-asset futures timing, especially with lower transaction costs.
problem Optimizing cross-asset portfolio weights using traditional forecasting and optimization methods.
method End-to-end AI policies that map market states directly to portfolio weights, trained on CME futures using a differentiable Sharpe ratio loss function.
result Transformer-based AI policies outperform simple rules and equal weighting, trading less and matching or exceeding equal weighting through moderate transaction costs.
Paper investigates rigidity phenomena for weighted Ricci curvature bounds with Laplacian comparison theorem.
problem Investigating rigidity phenomena for weighted Ricci curvature bounds.
method Derived comparison geometric estimates and generalized for non-symmetric Laplacian.
result Obtained rigidity results for Laplacian comparison theorem, diameter comparisons, and volume comparisons.