From the 2 of 16 linked papers with an AI index.
16 papers
SEAM: Global consistency beyond local accuracy in scientific machine learning
Gnankan Landry Regis N'guessan, Bum Jun Kim
Scientific machine learning commonly validates models at the level of a subdomain, a benchmark split, or an explanation for one prediction. Yet such local checks cannot establish w…
Looped Transformers with Source-Centered State Evolution
Bum Jun Kim, Kohei Hayashi, Shunsuke Kamiya +3
The paper introduces Source‑Centered State Evolution (SCSE), a method for looped Transformers that preserves input conditioning while keeping a fixed reference point, improving rec…
Lottery Tickets Are Not Deployment Tickets
Bum Jun Kim
The paper investigates whether sparsified models (lottery tickets) can replace dense models in real deployment without altering downstream decision logic, finding that even with ma…
SHiPPO: Recurrent Memory with Transported Polynomial Projections
Tomoya Mizuguchi, Bum Jun Kim
HiPPO gives recurrent states memory semantics as coefficients of online polynomial projections, but in fixed channel coordinates. Modern selective SSMs, by contrast, rely on token-…
Algorithmic Foundations of Deep Learning: Complexity-Theoretic Rates and a Characterization of Universal Approximation
Anastasis Kratsios, Simone Brugiapaglia, Bum Jun Kim +2
Feedforward neural network (NN) expressivity is typically studied by emulating optimal basis-expansion schemes. While powerful, this perspective is incomplete: it primarily capture…
EqOD: Symmetry-Informed Stability Selection for PDE Identification
Gnankan Landry Regis N'guessan, Bum Jun Kim
Data-driven identification of partial differential equations (PDEs) relies on sparse regression over a candidate library of differential operators, where larger libraries inflate f…