How catastrophic can catastrophic forgetting be in linear regression?

I Evron, E Moroshko, R Ward… - … on Learning Theory, 2022 - proceedings.mlr.press
To better understand catastrophic forgetting, we study fitting an overparameterized linear
model to a sequence of tasks with different input distributions. We analyze how much the …

Jordan's principal angles in complex vector spaces

A Galántai, CJ Hegedűs - Numerical Linear Algebra with …, 2006 - Wiley Online Library
We analyse the possible recursive definitions of principal angles and vectors in complex
vector spaces and give a new projector based definition. This enables us to derive important …

[PDF][PDF] A formula for angles between subspaces of inner product spaces.

H Gunawan, O Neswan, W Setya-Budhi - Beiträge zur Algebra und …, 2005 - eudml.org
1. Introduction The notion of angles between two subspaces of the Euclidean space R d has
been studied by many researchers s ince the 1 950's or even earlier (see[3]). In statistics …

User scheduling for heterogeneous multiuser MIMO systems: A subspace viewpoint

X Yi, EKS Au - IEEE Transactions on Vehicular Technology, 2011 - ieeexplore.ieee.org
In downlink multiuser multiple-input-multiple-output (MU-MIMO) systems, users are
practically heterogeneous. However, many existing user-scheduling algorithms are …

A user selection algorithm using angle between subspaces for downlink MU-MIMO systems

S Nam, J Kim, Y Han - IEEE Transactions on Communications, 2014 - ieeexplore.ieee.org
One of major issues in the efficient use of radio resource for multiuser multiple-input/multiple-
output (MU-MIMO) systems is the selection of users to achieve the maximum system …

On the extrinsic principal directions of Riemannian submanifolds

S Haesen, D Kowalczyk, L Verstraelen - Note di Matematica, 2010 - siba-ese.unisalento.it
The Casorati curvature of a submanifold M^ n of a Riemannianmanifold {\widetilde {M}^{n+
m}} is known to be the normalized square of the lengthof the second fundamental form …

The effects of partial observability in SLAM

J Andrade-Cetto, A Sanfeliu - IEEE International Conference on …, 2004 - ieeexplore.ieee.org
In this article, we show that partial observability hinders full reconstructibility of the state
space in SLAM, making the final map estimate dependent on the initial observations, and …

On relationships between two linear subspaces and two orthogonal projectors

Y Tian - Special Matrices, 2019 - degruyter.com
Sum and intersection of linear subspaces in a vector space over a field are fundamental
operations in linear algebra. The purpose of this survey paper is to give a comprehensive …

Subspace-based representation and learning for phonotactic spoken language recognition

HS Lee, Y Tsao, SK Jeng… - IEEE/ACM Transactions …, 2020 - ieeexplore.ieee.org
Phonotactic constraints can be employed to distinguish languages by representing a speech
utterance as a multinomial distribution or phone events. In the present study, we propose a …

Dimensioning flat equivalent radiators

A Capozzoli, C Curcio, A Liseno - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
We deal with the problem of modeling a radiator/scatterer using an equivalent radiator. The
problem amounts at determining shape and size of a radiating surface producing, on a …