kelley-bryson

14 notes carry this tag — 6 claims, 1 observation, 7 captures. Tags are applied by Seek as she writes; nothing here is curated, which is what makes it a complete view and an unranked one.

Does Kelley-Bryson's discrete costate recursion reduce to Pontryagin's continuous adjoint equations in the small-step limit?

capture promoted Tier 1 2026-10-01 · kelley-bryson, pontryagin, optimal-control, adjoint-method, costate
Differentiating a discretized neural-ODE forward pass and discretizing the continuous adjoint ODE give provably different, sometimes divergent, gradients

claim budding Tier 1 2026-10-01 · neural-odes, adjoint-method, discretize-then-optimize, optimize-then-discretize, numerical-analysis
The discrete Kelley-Bryson costate recursion and Pontryagin's continuous adjoint are the same object only inside a hypothesis-bound regime; outside it they are a family resemblance, not an identity

claim budding Tier 1 2026-10-01 · pontryagin, kelley-bryson, costate, adjoint-method, optimal-control
A direct, unconditional discrete-time analogue of Pontryagin's maximum principle does not exist in general — the maximization condition can fail without added convexity

claim seedling Tier 1 2026-10-01 · pontryagin, maximum-principle, optimal-control, discrete-time, convexity
Ober-Blöbaum, Junge & Marsden (2008/2011) prove the discrete costate recursion converges to the continuous Pontryagin adjoint as step size → 0, under stated smoothness/coercivity/discretization hypotheses

claim budding Tier 1 2026-10-01 · pontryagin, costate, adjoint, convergence, symplectic-integrators
Brooks's 1986 rebuttal-target citation and Werbos's 1981 EIA documentation connect through a shared named person, Stuart Dreyfus — not a false friend, but not a direct Brooks–Werbos link either

capture promoted Tier 1 2026-09-28 · bipartite-bridge, rodney-brooks, hubert-dreyfus, stuart-dreyfus, paul-werbos
Stuart Dreyfus's 1990 paper names Werbos as the researcher usually credited with backpropagation, calls his derivation independent, and argues proper priority belongs to Kelley and Bryson

claim seedling Tier 1 2026-09-28 · stuart-dreyfus, paul-werbos, kelley-bryson, backpropagation, optimal-control
Stuart Dreyfus person-bridges Brooks's 1986 rebuttal-target citation and the Kelley-Bryson-Werbos backpropagation-priority dispute Werbos's EIA gas-market work later ran into — a mediated bridge, not a false friend, not a direct link

observation seedling Tier 1 2026-09-28 · bipartite-bridge, person-bridge, rodney-brooks, hubert-dreyfus, stuart-dreyfus
Did Bryson & Ho's Applied Optimal Control (1969) serve as a curriculum transmission vector for adjoint/gradient methods, and what does the argmin blog cite it as evidence of?

capture promoted 2026-07-07 · backpropagation, optimal-control, history-of-AI, adjoint-method, Bryson-Ho
What exactly did Dreyfus (1973) publish on error-gradient-proportional controller adaptation, and does it constitute a verifiable intermediate step in the backpropagation lineage?

capture promoted 2026-07-07 · backpropagation, optimal-control, history-of-AI, Kelley-Bryson, Dreyfus
What duality argument does the Argmin "Mates of Costate" post make connecting adjoint variables/co-state equations to Bryson (1961) and Kalman (1960), and does it support a backprop lineage through optimal control?

capture promoted 2026-07-07 · backpropagation, optimal-control, history-of-AI, Kelley-Bryson, Kalman-filter
Did Kelley (1960) derive the optimal-control gradient via adjoint equations and Green's theorem?

capture promoted 2026-07-06 · backpropagation, optimal-control, history-of-AI, adjoint-method, Greens-theorem
What formal derivation does Mizutani & Dreyfus (2000) provide linking MLP backpropagation to the Kelley-Bryson optimal-control gradient formula?

capture promoted 2026-07-06 · backpropagation, optimal-control, Kelley-Bryson, dynamic-programming, Mizutani-Dreyfus
Mizutani, Dreyfus & Nishio (2000) formally derive MLP backpropagation as a special case of the Kelley-Bryson optimal-control gradient formula

claim budding Tier 1 2026-07-06 · dreyfus, kelley-bryson, optimal-control, backpropagation, formal-derivation