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The Era of Vibe Tapeout: Dark Age or Golden Age for Analog Circuit Design?
Kentaro Yoshioka
LLM agents now write their own schematic and layout generators, run EDA tools, read the results, and fix the design. This "vibe tapeout" is becoming practical for analog circuits a…
From DPPs to -DPPs: identifiability analysis via spectral decomposition
Hideitsu Hino, Keisuke Yano
We study the geometry of determinantal point processes (DPPs) through the spectral decomposition . The spectrum governs the cardinality distribution via elementar…
Feature Starvation as Geometric Instability in Sparse Autoencoders
Faris Chaudhry, Keisuke Yano, Anthea Monod
Sparse autoencoders (SAEs) are used to disentangle the dense, polysemantic internal representations of large language models (LLMs) into interpretable, monosemantic concepts. Howev…
Riemannian Optimization over Symmetric Positive Definite Matrices with the Alpha-Procrustes Geometry
Derun Zhou, Keisuke Yano, Mahito Sugiyama
In Riemannian optimization, it is well known that the condition number of the Riemannian Hessian at an optimum strongly influences the asymptotic convergence behavior of optimizati…
Trajectory-Restricted Optimization Conditions and Geometry-Aware Linear Convergence
Faris Chaudhry, Anthea Monod, Keisuke Yano
Linear convergence of first-order methods is typically characterized by global optimization conditions whose constants reflect worst-case geometry of the ambient space. In high-dim…
Empirical Bayes Predictive Density Estimation under Covariate Shift in Large Imbalanced Linear Mixed Models
Abir Sarkar, Gourab Mukherjee, Keisuke Yano
We study empirical Bayes (EB) predictive density estimation in linear mixed models (LMMs) with large number of units, which induce a high dimensional random effects space. Focusing…
The geometry of Stein's method of moments: A canonical decomposition via score matching
Mitsuki Nagai, Keisuke Yano
In this paper, we elucidate the geometry of Stein's method of moments (SMoM). SMoM is a parameter estimation method based on the Stein operator, and yields a wide class of estimato…