papers

Publications (7)

cs.LG2020

Eigen-Stratified Models

Jonathan Tuck, Stephen Boyd

Stratified models depend in an arbitrary way on a selected categorical feature that takes values, and depend linearly on the other features. Laplacian regularization with r…

q-fin.PM2021

Portfolio Construction Using Stratified Models

Jonathan Tuck, Shane Barratt, Stephen Boyd

In this paper we develop models of asset return mean and covariance that depend on some observable market conditions, and use these to construct a trading policy that depends on th…

q-fin.CP2020

Convex Optimization Over Risk-Neutral Probabilities

Shane Barratt, Jonathan Tuck, Stephen Boyd

We consider a collection of derivatives that depend on the price of an underlying asset at expiration or maturity. The absence of arbitrage is equivalent to the existence of a risk…

math.OC2018

Distributed Majorization-Minimization for Laplacian Regularized Problems

Jonathan Tuck, David Hallac, Stephen Boyd

We consider the problem of minimizing a block separable convex function (possibly nondifferentiable, and including constraints) plus Laplacian regularization, a problem that arises…

stat.ML2020

Fitting Laplacian Regularized Stratified Gaussian Models

Jonathan Tuck, Stephen Boyd

We consider the problem of jointly estimating multiple related zero-mean Gaussian distributions from data. We propose to jointly estimate these covariance matrices using Laplacian…

eess.SP2020

Polyphase Waveform Design for MIMO Radar Space Time Adaptive Processing

Bo Tang, Jonathan Tuck, Peter Stoica

We consider the design of polyphase waveforms for ground moving target detection with airborne multiple-input-multiple-output (MIMO) radar. Due to the constant-modulus and finite-a…

cs.LG2019

A Distributed Method for Fitting Laplacian Regularized Stratified Models

Jonathan Tuck, Shane Barratt, Stephen Boyd

Stratified models are models that depend in an arbitrary way on a set of selected categorical features, and depend linearly on the other features. In a basic and traditional formul…