Random monotone operators
Random monotone operators and application to stochastic optimization
... Chapter 1 Introduction 1.1 Theoretical context : Stochastic Approximation In the fields of machine learning, statistics or signal processing, many methods rely on an underlying optimization algorithm. In modern ...
152
Dynamical behavior of a stochastic forward-backward algorithm using random monotone operators
... with random constraint updates has been proposed in [ 27 ], who seeks to minimize a deterministic convex function f on a finite intersection of closed convex constraint ...]. Random iterations involving ...
30
A constant step Forward-Backward algorithm involving random maximal monotone operators
... about random monotone operators and their selection ...The monotone operators involved are assumed to be subdifferentials, hence covering the context of numerical ...tone ...
33
Pseudodifferential operators associated with a semigroup of operators.
... self-adjoint operators satisfying Davies-Gaffney ...elliptic operators with complex bounded measurable coefficients in L p , Sobolev and Hardy ...Pseudodifferential operators on ...
21
Online Non-Monotone DR-Submodular Maximization
... based on the monotonicity of functions coupled with the structure of convex sets such as unconstrained hypercube and down-closed. Though, a majority of real-world problems can be formulated as non-monotone ...
29
Characterization of Majorization Monotone Quantum Dynamics
... I. I NTRODUCTION In the last two decades, control theory has been applied to an in- creasingly wide number of problems in physics and chemistry whose dynamics are governed by the time-dependent Schrödinger equation ...
6
Monotone Pieces Analysis for Qualitative Modeling
... detecting monotone pieces from discrete simulation data is not a trivial ...to monotone functions or monotone segments of a ...meaningless monotone seg- ments. [22] uses random points ...
8
Parameterized verification of monotone information systems
... 6. Conclusion Results and discussion. In this article, we presented a model called PASTD, a variant of ASTD, which allows for the specification of complex parameterized systems like information systems. A PASTD ...
28
Contraction of monotone phase-coupled oscillators
... A phase-coupled model is characterized by its coupling function (which is closely related to the phase response curve of the oscillators). The seminal work of Kuramoto [5] assumes a sinusoidal coupling function. The ...
10
Quotient operators: new generation of linear operators
... since B is a pure contraction, A and A ∗ are one-to-one and Γ(B ∗ ) = B ∗ /A ∗ . Recall the following relations proved in [14]: R(A) = D(T), T ∗ = B ∗ /A ∗ , A = (I + T ∗ T) −1/2 , and thus T ∗ T = A −2 − I. The ...
9
Labelling Operators
... morphological operators can be applied on partitions which are considered as dual representations of ...efficient operators to deal with them and, in the other hand, flexible labelling algorithms to build ...
23
Design operators
... The environmental information operators were a set of computa- tional tools developed for purposes of introducing contextual properties into a digital design setup.. Th[r] ...
61
Inverse tunneling estimates and applications to the study of spectral statistics of random operators on the real line
... odinger operators in dimension one. For random systems in the localized phase, this repulsion takes place at a length scale of size e −Cℓ ; it is much smaller than the typical level spacings that is of size ...
34
On some expectation and derivative operators related to integral representations of random variables with respect to a PII process
... When the market is complete and without arbitrage opportunities, the representation property (1.3) holds with L ≡ 0; so those three decompositions (Kunita-Watanabe, Föllmer-Schweizer and Variance Opti- mal) reduce to a ...
30
Monotone Simultaneous Paths Embeddings in $\mathbb{R}^d$
... a monotone simultaneous geometric embedding in 2D, while there exist three paths on the same vertex set for which a simultaneous geometric embedding does not exist even if we drop the monotonicity requirement Braß ...
12
Comparaison de relations d'inférence non monotone : etude de complexité
... 93, CRS92]). Dans le contexte d´ecrit ci-dessus, notre contribution consiste en une ´etude comparative de quelques relations d’inf´erence non monotone syntaxique du point de vue de la complexit´e. Cette ´etude ...
130
Monotone Simultaneous Paths Embeddings in $\mathbb{R}^d$
... a monotone simultaneous geometric embedding in 2D, while there exist three paths on the same vertex set for which a simultaneous geometric embedding does not exist even if we drop the monotonicity requirement ...a ...
10
A family of monotone quantum relative entropies
... self-adjoint operators. In particular, we prove that this relative entropy is monotone if and only if ϕ ′ is operator ...bounded operators A and B on a Hilbert space and discuss its elementary ...
13
Monotone Temporal Planning: Tractability, Extensions and Applications
... EU monotone planning is a sufficiently powerful modelling language to allow us to impose constraints such as an action occurs at most once in a plan or that all instances of event e1 occur before all instances of ...
40
Strongly $n$-supercyclic operators
... of operators have been of great interest for many mathematicians, particularly hypercyclic and cyclic operators for their link with the invariant subspace ...of operators: weighted shifts, ...
21