The problem of multi-hypothesis testing with controlled sensing of observations is considered. The distribution of observations collected under each control is assumed to follow a single-parameter exponential family distribution. The goal is to design a policy to find the true hypothesis with minimum expected delay whi…
arXiv research
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A new method enhances signal recovery with FDR control.
RL approach for target tracking with unknown dynamics and sensor control.
Study shows tori metrics converging to flat under specific conditions.
TACTO simulates high-resolution touch sensing for robotics.
New algorithms allow multiple robots to search efficiently without central coordination.
DASC combines social media and car sensors to improve disaster response.
Sharp asymptotics reveal how network width controls learnability in quadratic neural networks.
New method disentangles perceptual uncertainty and behavioral costs in partially observable systems.
We study a stochastic game where one player tries to find a strategy such that the state process reaches a target of controlled-loss-type, no matter which action is chosen by the other player. We provide, in a general setup, a relaxed geometric dynamic programming principle for this problem and derive, for the case of …
The abstract discusses convergent realizations of Lie subalgebras in control theory.
The control and sensing of large-scale systems results in combinatorial problems not only for sensor and actuator placement but also for scheduling or observability/controllability. Such combinatorial constraints in system design and implementation can be captured using a structure known as matroids. In particular, the…
New control theory for self-path-dependent problems solves unique constraints.
Solves optimal control with state constraints using probabilistic methods.
Environmental acoustic sensing involves the retrieval and processing of audio signals to better understand our surroundings. While large-scale acoustic data make manual analysis infeasible, they provide a suitable playground for machine learning approaches. Most existing machine learning techniques developed for enviro…
New control theory shows neural networks can be sparsely active over time.
Study uses viscosity solutions to solve control problems involving measure-valued martingales.
New approach uses contrastive learning for better wireless power control.
Motivated by vision-based control of autonomous vehicles, we consider the problem of controlling a known linear dynamical system for which partial state information, such as vehicle position, is extracted from complex and nonlinear data, such as a camera image. Our approach is to use a learned perception map that predi…
Paper uses CNN to predict process parameters from molten pool data in WLAM.
The paper addresses optimal control in modern tontines with bequest preferences, showing a linear investment strategy.
TSC improves causal effect estimation in panel data.
The control of complex systems is of critical importance in many branches of science, engineering, and industry. Controlling an unsteady fluid flow is particularly important, as flow control is a key enabler for technologies in energy (e.g., wind, tidal, and combustion), transportation (e.g., planes, trains, and automo…
Policy-gradient method controls multiple non-cohesive targets.
After presenting Actor Critic Methods (ACM), we show ACM are control variate estimators. Using the projection theorem, we prove that the Q and Advantage Actor Critic (A2C) methods are optimal in the sense of the norm for the control variate estimators spanned by functions conditioned by the current state and acti…
Control data constructed for smooth weak deformation retraction of stratified spaces.
Researchers develop multi-agent systems for quadcopters to collaborate in missions.
In this paper we study mean-field type control problems with risk-sensitive performance functionals. We establish a stochastic maximum principle (SMP) for optimal control of stochastic differential equations (SDEs) of mean-field type, in which the drift and the diffusion coefficients as well as the performance function…
We consider an ad hoc network where multiple users access the same set of channels. The channel characteristics are unknown and could be different for each user (heterogeneous). No controller is available to coordinate channel selections by the users, and if multiple users select the same channel, they collide and none…
Transformers can approximate Kalman Filtering in linear systems with small error.
In this note, we propose an approach to the study of the analogue for unipotent harmonic bundles of Schmid's Nilpotent Orbit Theorem. Using this approach, we construct harmonic metrics on unipotent bundles over quasi-compact Kähler manifolds with carefully controlled asymptotics near the compactifying divisor; such a m…
The problem of multiple hypothesis testing arises when there are more than one hypothesis to be tested simultaneously for statistical significance. This is a very common situation in many data mining applications. For instance, assessing simultaneously the significance of all frequent itemsets of a single dataset entai…
We show that on a Riemann surface lamination locally embedded in , functions (in the sense of the structure of the lamination) are uniform limits of ambient functions, with control on the derivatives along the leaves. This implies that locally in , a (1,1) positive closed curr…
DIGIT is a low-cost tactile sensor for in-hand manipulation.
We provide a dynamic programming principle for stochastic optimal control problems with expectation constraints. A weak formulation, using test functions and a probabilistic relaxation of the constraint, avoids restrictions related to a measurable selection but still implies the Hamilton-Jacobi-Bellman equation in the …
Bavard proved a duality theorem between commutator length and quasimorphisms. Burago, Ivanov and Polterovich introduced the notion of a conjugation-invariant norm which is a generalization of commutator length. Entov and Polterovich proved that Oh-Schwarz spectral invariants are subset-controlled quasimorphisms which a…
Paper analyzes GANs training difficulties and proposes a control framework.
We solve a continuous-time game-theoretic problem for Kihlstrom-Mirman preferences.
Analytic curves have infinite codimension of singular germs.
Study shows a mass quantity for metrics that agrees with ADM mass.
We consider compressed sensing formulated as a minimization problem of nonconvex sparse penalties, Smoothly Clipped Absolute deviation (SCAD) and Minimax Concave Penalty (MCP). The nonconvexity of these penalties is controlled by nonconvexity parameters, and L1 penalty is contained as a limit with respect to these para…
Pontryagin's Maximum Principle is an outstanding result for solving optimal control problems by means of optimizing a specific function on some particular variables, the so called controls. However, this is not always enough for solving all these problems. A high order maximum principle (Krener, 1977) must be used in o…
A new method solves complex financial equations efficiently.
In this paper, we investigate how to learn to control a group of cooperative agents with limited sensing capabilities such as robot swarms. The agents have only very basic sensor capabilities, yet in a group they can accomplish sophisticated tasks, such as distributed assembly or search and rescue tasks. Learning a pol…
We develop the method of stochastic modified equations (SME), in which stochastic gradient algorithms are approximated in the weak sense by continuous-time stochastic differential equations. We exploit the continuous formulation together with optimal control theory to derive novel adaptive hyper-parameter adjustment po…
Study optimal liquidation strategies with infinite horizon and regime switching.
Develops methods to select informative conformal prediction sets with FCR control.
Market-maker optimizes quotes based on strategic market-takers' behavior.