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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

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88176264352 · Jun 202019922001200920172026
48 results for approximate multipliers

Approximate multipliers boost CNN training speed, power, and area at slight accuracy cost.

problem Improving CNN training performance in terms of speed, power, and area.
method Simulation of approximate multipliers' impact on CNN training, hybrid training method combining approximate and exact multipliers.
result Using approximate multipliers for most of training enhances speed, power, and area with minimal accuracy loss.

Paper improves confidence intervals for LSA with multiplier bootstrap.

problem Improving confidence intervals for parameter estimation in LSA.
method Berry-Esseen bound for multivariate normal approximation and multiplier bootstrap.
result Valid confidence intervals for parameter estimation in LSA.

Researchers use Gaussian processes to approximate Lagrange multipliers for Maximum-Entropy distributions.

problem Finding Lagrange multipliers for Maximum-Entropy distributions is computationally challenging.
method Employed Gaussian processes to approximate the Lagrange multipliers as a map of moments. Optimized hyperparameters by maximizing log-likelihood.
result Data-driven Maximum-Entropy closure performs well in approximating non-equilibrium distributions.

Study approximates operator learning for PDEs using Fourier multipliers.

problem Approximating operator behavior for PDE simulations.
method Approximation of operator symbols in Fourier domain using semi-norms.
result Identifies conditions for achieving predefined approximation error.

Paper develops Gaussian approximations and bootstrap for federated LSA with trade-off bounds.

problem Analyzing convergence rates and trade-offs in federated linear stochastic approximation.
method Established Berry-Esseen-type bounds for federated LSA, developed multiplier bootstrap for inference.
result First federated Gaussian approximations with explicit trade-off terms and non-asymptotic validity guarantees.

Paper solves optimization problems with convex expectation constraints using a new algorithm.

problem Minimizing convex expectation functions with inequality convex expectation constraints.
method Stochastic Augmented Lagrangian-Type Algorithm (Stochastic Linearized Proximal Method of Multipliers).
result Algorithm achieves O(K1/2)O(K^{-1/2}) convergence rates for objective reduction and constraint violation.

New unoriented versions of Schur and Bogomolov multipliers for finite groups.

problem Defining and analyzing unoriented versions of Schur and Bogomolov multipliers.
method Using cohomology groups and quotient groups to define unoriented multipliers.
result Triviality of unoriented Bogomolov multiplier for certain groups, nontriviality for others.

New bootstraps improve speed and accuracy for graph count functionals.

problem Efficiently counting subgraphs in large graphs.
method Developed two types of multiplier bootstraps: a fast, approximate linear one and a quadratic one for denser graphs.
result Both bootstraps provide valid inference and higher-order accuracy under different graph sparsity conditions.

In this paper, we compute the index form of the multiply twisted products. We study the Killing vector fields on the multiply twisted product manifolds and determine the Killing vector fields in some cases. We compute the curvature of the multiply twisted products with a semi-symmetric metric connection and show that t…

2012-07-01abs ↗pdf ↗

New method improves treatment effect estimation in adaptive experiments with noncompliance.

problem Estimating average treatment effect in adaptive experiments with binary instrumental variable.
method AMRIV estimator that balances outcome noise and compliance variability.
result AMRIV achieves semiparametric efficiency bound and is robust to noncompliance.

Stella Nera accelerates matrix multiplications with a hash-based approach, achieving high energy efficiency and accuracy.

problem High computational and energy demands due to matrix multiplications in AI models.
method Stella Nera uses Maddness, a hash-based product quantization, to eliminate multipliers and achieve lookups and additions.
result Achieved an energy efficiency of 161 TOp/s/W@0.55V, 25x better than conventional MatMul accelerators.

Matrix rank minimization problem is in general NP-hard. The nuclear norm is used to substitute the rank function in many recent studies. Nevertheless, the nuclear norm approximation adds all singular values together and the approximation error may depend heavily on the magnitudes of singular values. This might restrict…

2015-10-30abs ↗pdf ↗

Article establishes criteria for multiplier Hermitian-Einstein metrics on KSM-manifolds.

problem Existence of multiplier Hermitian-Einstein metrics on Fano manifolds.
method Criterion based on KSM-data and continuous paths connecting solitons.
result Explicit example of a KSM-manifold with a family of multiplier Hermitian-Einstein metrics.

The paper provides Gaussian approximations for decentralized Federated Learning.

problem Lack of asymptotic statistical guarantees for local SGD in Federated Learning.
method Two generalized Gaussian approximation results for local SGD trajectories.
result Valid multiplier bootstrap procedures and Gaussian bootstrap-based tests for detecting adversarial attacks.

The paper examines conditions for Einstein multiply warped products and estimates their parameters.

problem Existence and non-existence of non-trivial Einstein multiply warped products.
method Analyzes conditions for the existence or non-existence of Einstein multiply warped products, especially generalized Kasner type.
result Estimates the Einstein parameter that conditions the existence of such metrics.

Paper improves CLT and bootstrap approximations for LSA with decreasing step size.

problem Improving normal approximation and bootstrap methods for LSA with decreasing step sizes.
method Refined Berry-Esseen bounds and multiplier bootstrap procedure for LSA.
result Approximation rates up to 1/n1/\sqrt{n} for LSA rescaled error distribution.

The study uses historical revenue data to forecast music catalog cashflows and multipliers.

problem Valuation of music catalogs based on historical revenue data.
method Risk-neutral approach using discounted cashflows formula.
result Ask prices are close to multipliers justified by median song cashflows, while best bids are near multipliers justified by bottom decile cashflows.

Improved method for numerical conformal mappings on complex domains.

problem Accurate and efficient computation of conformal mappings on multiply connected domains.
method Generalization and refinement of the conjugate function method using high-order finite element methods.
result Achieved accurate and efficient construction of boundary values for multiply connected domains.

We present an elementary analysis of the dynamical aspects of the GDP / government surplus multiplier with relevance to the assessment of a country's debt repayment policy. We show the (at first) counter intuitive result that in order to reduce the Debt/GDP ratio, countries with high Debt to GDP should go into further …

2013-10-11abs ↗pdf ↗

The goal of this paper is to study the theory of last multipliers in the framework of complex manifolds with a fixed holomorphic volume form. The motivation of our study is based on the equivalence between a holomorphic ODE system and an associated real ODE system and we are interested how we can relate holomorphic las…

2015-07-04abs ↗pdf ↗

In this paper, we study the Einstein multiply warped products with a semi-symmetric non-metric connection and the multiply warped products with a semi-symmetric non-metric connection with constant scalar curvature, we apply our results to generalized Robertson-Walker spacetimes with a semi-symmetric non-metric connecti…

2012-07-21abs ↗pdf ↗

In this expository article we first give an overview on multiplier ideal sheaves and geometric problems in Kählerian and Sasakian geometries. Then we review our recent results on the relationship between the support of the subschemes cut out by multiplier ideal sheaves and the invariant whose non-vanishing obstructs th…

2009-10-20abs ↗pdf ↗

Paper tackles Byzantine attacks in distributed learning with a new ADMM method.

problem Byzantine workers sending arbitrary messages bias distributed learning.
method Byzantine-robust stochastic ADMM exploiting separable problem structure.
result Proposed method converges to optimal solution at O(1/k) rate.

Constructs weight 1/2 multiplier systems for a specific group and relates to geometric edge paths.

problem Constructing weight 1/2 multiplier systems for a specific group.
method Defines an eta function and Rademacher symbol, relates to geometric edge paths in a triangulation of the upper half plane.
result Relates weight 1/2 multiplier systems to geometric edge paths.

In this paper, we study the Einstein warped products and multiply warped products with a quarter-symmetric connection. We also study warped products and multiply warped products with a quarter-symmetric connection with constant scalar curvature. Then apply our results to generalized Robertson-Walker spacetimes with a q…

2014-10-01abs ↗pdf ↗

The theory of the last multipliers as solutions of the Liouville's transport equation, previously developed for vector fields, is extended here to general multivectors. Characterizations in terms of Witten and Marsden differentials are reobtained as well as the algebraic structure of the set of multivectors with a comm…

2007-07-02abs ↗pdf ↗

New Kähler metrics generalize Calabi's and relate to Fano manifolds.

problem Existence of extremal Kähler metrics on Fano manifolds.
method Introducing σσ-extremal Kähler metrics and relating them to multiplier Hermitian-Einstein metrics.
result Existence of σσ-extremal Kähler metrics implies existence of multiplier Hermitian-Einstein metrics on Fano manifolds.

Study characterizes 2-Killing vector fields on complex spacetimes.

problem Characterize 22-Killing vector fields on multiply twisted product spacetimes.
method Determine nonlinear differential equations, find twisted functions, provide solutions, and construct examples.
result Completely describe 22-Killing vector fields and twisted functions on multiply twisted product spacetimes.

This work improves polynomial approximations for functions with asymmetric behavior.

problem Efficiently approximating functions with asymmetric behavior, especially those growing unbounded on one side.
method Introduces weighted deep polynomial approximants that combine learnable deep polynomials with one-sided weights.
result Weighted deep polynomial approximants outperform existing methods in approximating functions with asymmetric behavior.

The paper extends the Manhattan curve concept to complex dynamics and studies its relation to multiplier spectra.

problem Understanding the growth rate of lengths of closed geodesics in complex dynamics.
method Defining and studying the Manhattan curve for holomorphic endomorphisms of CPk\mathbb{C}\mathbb{P}^k and relating it to multiplier spectra.
result The Manhattan curve for two holomorphic endomorphisms is related to the correlation number of their multiplier spectra.

Paper derives convergence rates and confidence intervals for LSA with Markovian noise.

problem Analyzing convergence rates and constructing confidence intervals for LSA with Markovian noise.
method Derives non-asymptotic Berry-Esseen bounds and multiplier block bootstrap procedure.
result Provides O(n1/4)\mathcal{O}(n^{-1/4}) convergence rates and guarantees consistent inference.

The paper extends affine connection results to singular warped and twisted products.

problem Generalizing affine connections to singular warped and twisted products.
method Study of singular multiply warped products and singular twisted products with semi-symmetric metric and non-metric connections, discussing Koszul forms and curvature.
result Theoretical results on curvature and Koszul forms for singular multiply warped and twisted products.

The article calculates a multiplying factor to convert rational Vassiliev invariants to integer-valued ones.

problem Converting rational valued Vassiliev invariants to integer-valued ones.
method Calculates the minimal multiplying factor λ needed for rational Vassiliev invariants to become integer-valued.
result Obtains a set of integer-valued Vassiliev invariants.