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pro vyhledávání: '"Tappenden, P."'
This paper studies the convergence properties of a family of Relaxed $\ell$-Minimal Gradient Descent methods for quadratic optimization; the family includes the omnipresent Steepest Descent method, as well as the Minimal Gradient method. Simple proof
Externí odkaz:
http://arxiv.org/abs/2404.19255
Autor:
Tappenden, Paul
Set theory brought revolution to philosophy of mathematics and it can bring revolution to philosophy of physics too. All that stands in the way is the intuition that sets of physical objects cannot themselves be physical objects, which appears to dep
Externí odkaz:
http://arxiv.org/abs/2309.14004
Autor:
Umemneku-Chikere, Chinyereugo M, Wheaton, Lorna, Poad, Heather, Ray, Devleena, Andrade, Ilse Cuevas, Khan, Sam, Tappenden, Paul, Abrams, Keith R, Owen, Rhiannon K, Bujkiewicz, Sylwia
Objective: We aimed to develop a meta-analytic model for evaluation of predictive biomarkers and targeted therapies, utilising data from digital sources when individual participant data (IPD) from randomised controlled trials (RCTs) are unavailable.
Externí odkaz:
http://arxiv.org/abs/2308.03597
Autor:
Tappenden, Paul
The 2022 Tel Aviv conference on the Many Worlds interpretation of quantum mechanics highlighted many differences between theorists. A very significant dichotomy is between Everettian fission (splitting) and Saunders-Wallace-Wilson divergence. For fis
Externí odkaz:
http://arxiv.org/abs/2306.03583
Akademický článek
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Autor:
Tappenden, Rachael, Takáč, Martin
This work shows that applying Gradient Descent (GD) with a fixed step size to minimize a (possibly nonconvex) quadratic function is equivalent to running the Power Method (PM) on the gradients. The connection between GD with a fixed step size and the
Externí odkaz:
http://arxiv.org/abs/2211.00866
Autor:
Tappenden, Paul
It is generally taken to be established that no local hidden-variable theory is possible. That conclusion applies if our world is a thread, where a thread is a world where particles follow trajectories, as in Pilot-Wave theory. But if our world is ta
Externí odkaz:
http://arxiv.org/abs/2209.05159
Inspired by the recent work FedNL (Safaryan et al, FedNL: Making Newton-Type Methods Applicable to Federated Learning), we propose a new communication efficient second-order framework for Federated learning, namely FLECS. The proposed method reduces
Externí odkaz:
http://arxiv.org/abs/2206.02009
Autor:
Sadiev, Abdurakhmon, Beznosikov, Aleksandr, Almansoori, Abdulla Jasem, Kamzolov, Dmitry, Tappenden, Rachael, Takáč, Martin
This work considers the non-convex finite sum minimization problem. There are several algorithms for such problems, but existing methods often work poorly when the problem is badly scaled and/or ill-conditioned, and a primary goal of this work is to
Externí odkaz:
http://arxiv.org/abs/2206.00285
Autor:
Tappenden, Paul
Proposed derivations of the Born rule for Everettian theory are controversial. I argue that they are unnecessary but may provide justification for a simplified version of the Principal Principle. It's also unnecessary to replace Everett's idea that a
Externí odkaz:
http://arxiv.org/abs/1911.02941