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In this thesis, we introduce new tools for the conformal bootstrap, autoboot and qboot. Each tool solves a different step in the whole computational stack, and combined with an existing efficient tool SDPB which solves semidefinite…

高能物理 - 理论 · 物理学 2020-06-09 Mocho Go

We introduce PPBoot: a bootstrap-based method for prediction-powered inference. PPBoot is applicable to arbitrary estimation problems and is very simple to implement, essentially only requiring one application of the bootstrap. Through a…

机器学习 · 统计学 2025-01-27 Tijana Zrnic

Differential flatness enables efficient planning and control for underactuated robotic systems, but we lack a systematic and practical means of identifying a flat output (or determining whether one exists) for an arbitrary robotic system.…

机器人学 · 计算机科学 2023-05-17 Jake Welde , Vijay Kumar

A method is developed for calculating effective sums of divergent series. This approach is a variant of the self-similar approximation theory. The novelty here is in using an algebraic transformation with a power providing the maximal…

统计力学 · 物理学 2009-10-30 V. I. Yukalov , S. Gluzman

The Generalized Moving Peaks Benchmark (GMPB) is a tool for generating continuous dynamic optimization problem instances with controllable dynamic and morphological characteristics. GMPB has been used in recent Competitions on Dynamic…

We present a method for automatically building diagrams for olympiad-level geometry problems and implement our approach in a new open-source software tool, the Geometry Model Builder (GMB). Central to our method is a new domain-specific…

计算几何 · 计算机科学 2021-05-04 Ryan Krueger , Jesse Michael Han , Daniel Selsam

We introduce {\tt JuliBootS}, a package for numerical conformal bootstrap computations coded in {\tt Julia}. The centre-piece of {\tt JuliBootS} is an implementation of Dantzig's simplex method capable of handling arbitrary precision linear…

高能物理 - 理论 · 物理学 2014-12-16 Miguel F. Paulos

In this work, we propose a framework called Auto-Assembly for automated robotic assembly from design files and demonstrate a practical implementation on modular parts joined by fastening using a robotic cell consisting of two robots. We…

机器人学 · 计算机科学 2023-01-09 Sergei Zobov , Fedor Chervinskii , Aleksandr Rybnikov , Danil Petrov , Komal Vendidandi

We introduce PyCFTBoot, a wrapper designed to reduce the barrier to entry in conformal bootstrap calculations that require semidefinite programming. Symengine and SDPB are used for the most intensive symbolic and numerical steps…

高能物理 - 理论 · 物理学 2024-02-20 Connor Behan

The bootstrap is a technique recently developed to get energy eigenvalues of bound states and correlation functions. There are three crucial steps - recursive equations, positivity constraints, search space. We calculate recursive equations…

量子物理 · 物理学 2022-09-20 Xihe Hu

We introduce a generalized bootstrap technique for estimators obtained by solving estimating equations. Some special cases of this generalized bootstrap are the classical bootstrap of Efron, the delete-d jackknife and variations of the…

统计理论 · 数学 2007-06-13 Snigdhansu Chatterjee , Arup Bose

Homotopy methods are attractive due to their capability of solving difficult optimisation and optimal control problems. The underlying idea is to construct a homotopy, which may be considered as a continuous (zero) curve between the…

最优化与控制 · 数学 2024-12-10 Willem Esterhuizen , Kathrin Flaßkamp , Matthias Hoffmann , Karl Worthmann

A large part of modern machine learning theory often involves computing the high-dimensional expected trace of a rational expression of large rectangular random matrices. To symbolically compute such quantities using free probability…

机器学习 · 计算机科学 2025-04-16 Arjun Subramonian , Elvis Dohmatob

In this article, we propose the Coopetititve Soft Gating Ensemble or CSGE for general machine learning tasks and interwoven systems. The goal of machine learning is to create models that generalize well for unknown datasets. Often, however,…

机器学习 · 计算机科学 2018-08-17 Stephan Deist , Maarten Bieshaar , Jens Schreiber , Andre Gensler , Bernhard Sick

SOSOPT is a Matlab toolbox for formulating and solving Sum-of-Squares (SOS) polynomial optimizations. This document briefly describes the use and functionality of this toolbox. Section 1 introduces the problem formulations for SOS tests,…

最优化与控制 · 数学 2016-11-26 Peter Seiler

We introduce SDPB: an open-source, parallelized, arbitrary-precision semidefinite program solver, designed for the conformal bootstrap. SDPB significantly outperforms less specialized solvers and should enable many new computations. As an…

高能物理 - 理论 · 物理学 2015-02-10 David Simmons-Duffin

Models of complicated systems can be represented in different ways - in scientific papers, they are represented using natural language text as well as equations. But to be of real use, they must also be implemented as software, thus making…

Gradient Boosted Decision Tree (GBDT) is a widely-used machine learning algorithm that has been shown to achieve state-of-the-art results on many standard data science problems. We are interested in its application to multioutput problems…

机器学习 · 计算机科学 2022-11-24 Leonid Iosipoi , Anton Vakhrushev

We describe the first version (v1.0.0) of the code ADG that automatically (1) generates all valid Bogoliubov many-body perturbation theory (BMBPT) diagrams and (2) evaluates their algebraic expression to be implemented for numerical…

The scattering equations are a set of algebraic equations connecting the kinematic space of massless particles and the moduli space of Riemann spheres with marked points. We present an efficient method for solving the scattering equations…

高能物理 - 理论 · 物理学 2019-02-19 Zhengwen Liu , Xiaoran Zhao
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