37 citations · 75 across the 21 of their papers we have counts for
7 papers · 1 filter
Quantization Robustness of Monotone Operator Equilibrium Networks
James Li, Philip H. W. Leong, Thomas Chaffey
Monotone operator equilibrium networks are implicit-layer models whose output is the unique equilibrium of a monotone operator, guaranteeing existence, uniqueness, and convergence.…
Symmetry in linear physical systems
Arjan van der Schaft, Rodolphe Sepulchre, Tom Chaffey
Physical systems with symmetry arise abundantly in applications, and are endowed with interesting mathematical structures. The present paper focusses on linear reciprocal and input…
Convergence of energy-based learning in linear resistive networks
Anne-Men Huijzer, Thomas Chaffey, Bart Besselink +1
Energy-based learning algorithms are alternatives to backpropagation and are well-suited to distributed implementations in analog electronic devices. However, a rigorous theory of…
A homotopy theorem for incremental stability
Thomas Chaffey, Andrey Kharitenko, Fulvio Forni +1
A theorem is proved to verify incremental stability of a feedback system via a homotopy from a known incrementally stable system. A first corollary of that result is that increment…
Relaxation systems and cyclic monotonicity
Thomas Chaffey, Henk J. van Waarde, Rodolphe Sepulchre
It is shown that an LTI system is a relaxation system if and only if its Hankel operator is cyclic monotone. Cyclic monotonicity of the Hankel operator implies the existence of a s…
Circuit Analysis using Monotone+Skew Splitting
Thomas Chaffey, Sebastian Banert, Pontus Giselsson +1
It is shown that the behavior of an -port circuit of maximal monotone elements can be expressed as a zero of the sum of a maximal monotone operator containing the circuit elemen…
Splitting algorithms and circuit analysis
Thomas Chaffey, Amritam Das, Rodolphe Sepulchre
The splitting algorithms of monotone operator theory find zeros of sums of relations. This corresponds to solving series or parallel one-port electrical circuits, or the negative f…