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A fully first-order method for stochastic bilevel optimization
We consider stochastic unconstrained bilevel optimization problems when only the first-
order gradient oracles are available. While numerous optimization methods have been …
order gradient oracles are available. While numerous optimization methods have been …
On penalty-based bilevel gradient descent method
Bilevel optimization enjoys a wide range of applications in hyper-parameter optimization,
meta-learning and reinforcement learning. However, bilevel problems are difficult to solve …
meta-learning and reinforcement learning. However, bilevel problems are difficult to solve …
Averaged method of multipliers for bi-level optimization without lower-level strong convexity
Gradient methods have become mainstream techniques for Bi-Level Optimization (BLO) in
learning fields. The validity of existing works heavily rely on either a restrictive Lower-Level …
learning fields. The validity of existing works heavily rely on either a restrictive Lower-Level …
Fednest: Federated bilevel, minimax, and compositional optimization
Standard federated optimization methods successfully apply to stochastic problems with
single-level structure. However, many contemporary ML problems-including adversarial …
single-level structure. However, many contemporary ML problems-including adversarial …
Bilevel coreset selection in continual learning: A new formulation and algorithm
Coreset is a small set that provides a data summary for a large dataset, such that training
solely on the small set achieves competitive performance compared with a large dataset. In …
solely on the small set achieves competitive performance compared with a large dataset. In …
An introduction to bilevel optimization: Foundations and applications in signal processing and machine learning
Recently, bilevel optimization (BLO) has taken center stage in some very exciting
developments in the area of signal processing (SP) and machine learning (ML). Roughly …
developments in the area of signal processing (SP) and machine learning (ML). Roughly …
Achieving Complexity in Hessian/Jacobian-free Stochastic Bilevel Optimization
In this paper, we revisit the bilevel optimization problem, in which the upper-level objective
function is generally nonconvex and the lower-level objective function is strongly convex …
function is generally nonconvex and the lower-level objective function is strongly convex …
Optimal algorithms for stochastic bilevel optimization under relaxed smoothness conditions
We consider stochastic bilevel optimization problems involving minimizing an upper-level
($\texttt {UL} $) function that is dependent on the arg-min of a strongly-convex lower-level …
($\texttt {UL} $) function that is dependent on the arg-min of a strongly-convex lower-level …
On penalty methods for nonconvex bilevel optimization and first-order stochastic approximation
In this work, we study first-order algorithms for solving Bilevel Optimization (BO) where the
objective functions are smooth but possibly nonconvex in both levels and the variables are …
objective functions are smooth but possibly nonconvex in both levels and the variables are …
One-step differentiation of iterative algorithms
In appropriate frameworks, automatic differentiation is transparent to the user, at the cost of
being a significant computational burden when the number of operations is large. For …
being a significant computational burden when the number of operations is large. For …