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Mihailo Stojnic
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All published works
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Title
Year
Authors
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Theoretical limits of descending $\ell_0$ sparse-regression ML algorithms
2024
Mihailo Stojnic
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PDF
Chat
Ridge interpolators in correlated factor regression models -- exact risk analysis
2024
Mihailo Stojnic
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PDF
Chat
Precise analysis of ridge interpolators under heavy correlations -- a Random Duality Theory view
2024
Mihailo Stojnic
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PDF
Chat
Exact objectives of random linear programs and mean widths of random polyhedrons
2024
Mihailo Stojnic
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PDF
Chat
Capacity of the Hebbian-Hopfield network associative memory
2024
Mihailo Stojnic
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PDF
Chat
Fixed width treelike neural networks capacity analysis -- generic activations
2024
Mihailo Stojnic
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PDF
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Exact capacity of the \emph{wide} hidden layer treelike neural networks with generic activations
2024
Mihailo Stojnic
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Exact Error in Matrix Completion: Approximately Low-Rank Structures and Missing Blocks
2024
Agostino Capponi
Mihailo Stojnic
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Sparse vector and low rank recovery phase transitions: uncovering the explicit relations
2024
Agostino Capponi
Mihailo Stojnic
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Causal Inference — closed form expressions for worst case typical phase transitions
2023
Agostino Capponi
Mihailo Stojnic
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Phase Transitions: Explicit relations for sparse vector and low rank recovery
2023
Agostino Capponi
Mihailo Stojnic
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Causal Inference (C-inf) -- closed form worst case typical phase transitions
2023
Agostino Capponi
Mihailo Stojnic
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Causal Inference (C-inf) -- asymmetric scenario of typical phase transitions
2023
Agostino Capponi
Mihailo Stojnic
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Matrix Completion Methods for Causal Inference under Simultaneous Irreversible Treatment
2023
Agostino Capponi
Mihailo Stojnic
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Fully lifted interpolating comparisons of bilinearly indexed random processes
2023
Mihailo Stojnic
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Bilinearly indexed random processes -- \emph{stationarization} of fully lifted interpolation
2023
Mihailo Stojnic
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Generic proving of replica symmetry breaking
2023
Mihailo Stojnic
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Binary perceptrons capacity via fully lifted random duality theory
2023
Mihailo Stojnic
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Studying Hopfield models via fully lifted random duality theory
2023
Mihailo Stojnic
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Fully lifted random duality theory
2023
Mihailo Stojnic
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Capacity of the treelike sign perceptrons neural networks with one hidden layer -- RDT based upper bounds
2023
Mihailo Stojnic
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\emph{Lifted} RDT based capacity analysis of the 1-hidden layer treelike \emph{sign} perceptrons neural networks
2023
Mihailo Stojnic
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Fl RDT based ultimate lowering of the negative spherical perceptron capacity
2023
Mihailo Stojnic
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Rephased CLuP.
2020
Mihailo Stojnic
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Algorithmic random duality theory -- large scale CLuP
2020
Mihailo Stojnic
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Sparse linear regression -- CLuP achieves the ideal \emph{exact} ML
2020
Mihailo Stojnic
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Rephased CLuP
2020
Mihailo Stojnic
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Complexity analysis of the Controlled Loosening-up (CLuP) algorithm
2019
Mihailo Stojnic
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Controlled Loosening-up (CLuP) -- achieving exact MIMO ML in polynomial time
2019
Mihailo Stojnic
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Starting CLuP with polytope relaxation
2019
Mihailo Stojnic
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Complexity analysis of the Controlled Loosening-up (CLuP) algorithm
2019
Mihailo Stojnic
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Partial $\ell_1$ optimization in random linear systems -- phase transitions and large deviations
2016
Mihailo Stojnic
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Partial l 1 optimization in random linear systems - finite dimensions.
2016
Mihailo Stojnic
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Random linear under-determined systems with block-sparse solutions - asymptotics, large deviations, and finite dimensions.
2016
Mihailo Stojnic
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Box constrained $\ell_1$ optimization in random linear systems -- finite dimensions
2016
Mihailo Stojnic
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Box constrained $\ell_1$ optimization in random linear systems -- asymptotics
2016
Mihailo Stojnic
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Random linear systems with sparse solutions - finite dimensions.
2016
Mihailo Stojnic
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Random linear systems with sparse solutions -- asymptotics and large deviations
2016
Mihailo Stojnic
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Fully bilinear generic and lifted random processes comparisons
2016
Mihailo Stojnic
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Generic and lifted probabilistic comparisons -- max replaces minmax
2016
Mihailo Stojnic
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Random linear systems with sparse solutions -- finite dimensions
2016
Mihailo Stojnic
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Random linear systems with sparse solutions -- asymptotics and large deviations
2016
Mihailo Stojnic
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Partial $\ell_1$ optimization in random linear systems -- phase transitions and large deviations
2016
Mihailo Stojnic
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Box constrained $\ell_1$ optimization in random linear systems -- finite dimensions
2016
Mihailo Stojnic
+
Random linear under-determined systems with block-sparse solutions -- asymptotics, large deviations, and finite dimensions
2016
Mihailo Stojnic
+
Box constrained $\ell_1$ optimization in random linear systems -- asymptotics
2016
Mihailo Stojnic
+
Partial $\ell_1$ optimization in random linear systems -- finite dimensions
2016
Mihailo Stojnic
+
Under-determined linear systems and â„“ q -optimization thresholds.
2013
Mihailo Stojnic
+
Lifting â„“ 1 -optimization strong and sectional thresholds.
2013
Mihailo Stojnic
+
Lifting/lowering Hopfield models ground state energies
2013
Mihailo Stojnic
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Asymmetric Little model and its ground state energies
2013
Mihailo Stojnic
+
Towards a better compressed sensing
2013
Mihailo Stojnic
+
Upper-bounding â„“ 1 -optimization sectional thresholds.
2013
Mihailo Stojnic
+
Lifting â„“ q -optimization thresholds.
2013
Mihailo Stojnic
+
Compressed sensing of block-sparse positive vectors
2013
Mihailo Stojnic
+
Discrete perceptrons
2013
Mihailo Stojnic
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Regularly random duality
2013
Mihailo Stojnic
+
A framework to characterize performance of LASSO algorithms
2013
Mihailo Stojnic
+
Meshes that trap random subspaces
2013
Mihailo Stojnic
+
Upper-bounding $\ell_1$-optimization weak thresholds
2013
Mihailo Stojnic
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Another look at the Gardner problem
2013
Mihailo Stojnic
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Optimality of $\ell_2/\ell_1$-optimization block-length dependent thresholds
2013
Mihailo Stojnic
+
A rigorous geometry-probability equivalence in characterization of $\ell_1$-optimization
2013
Mihailo Stojnic
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Bounds on restricted isometry constants of random matrices
2013
Mihailo Stojnic
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Bounding ground state energy of Hopfield models
2013
Mihailo Stojnic
+
A problem dependent analysis of SOCP algorithms in noisy compressed sensing
2013
Mihailo Stojnic
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A performance analysis framework for SOCP algorithms in noisy compressed sensing
2013
Mihailo Stojnic
+
Negative spherical perceptron
2013
Mihailo Stojnic
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Spherical perceptron as a storage memory with limited errors
2013
Mihailo Stojnic
+
Linear under-determined systems with sparse solutions: Redirecting a challenge?
2013
Mihailo Stojnic
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Compressed sensing of block-sparse positive vectors
2013
Mihailo Stojnic
+
Upper-bounding $\ell_1$-optimization weak thresholds
2013
Mihailo Stojnic
+
Discrete perceptrons
2013
Mihailo Stojnic
+
Asymmetric Little model and its ground state energies
2013
Mihailo Stojnic
+
A framework to characterize performance of LASSO algorithms
2013
Mihailo Stojnic
+
Towards a better compressed sensing
2013
Mihailo Stojnic
+
Meshes that trap random subspaces
2013
Mihailo Stojnic
+
Lifting $\ell_1$-optimization strong and sectional thresholds
2013
Mihailo Stojnic
+
Regularly random duality
2013
Mihailo Stojnic
+
Lifting/lowering Hopfield models ground state energies
2013
Mihailo Stojnic
+
Lifting $\ell_q$-optimization thresholds
2013
Mihailo Stojnic
+
Under-determined linear systems and $\ell_q$-optimization thresholds
2013
Mihailo Stojnic
+
Upper-bounding $\ell_1$-optimization sectional thresholds
2013
Mihailo Stojnic
+
$\ell_{2}/\ell_{1}$-Optimization in Block-Sparse Compressed Sensing and Its Strong Thresholds
2010
Mihailo Stojnic
+
Block-length dependent thresholds in block-sparse compressed sensing
2009
Mihailo Stojnic
+
Various thresholds for $\ell_1$-optimization in compressed sensing
2009
Mihailo Stojnic
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PDF
Chat
Unambiguous discrimination between two rank-2 mixed quantum states
2007
Mihailo Stojnic
Babak Hassibi
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PDF
Chat
Optimal quantum detectors for unambiguous detection of mixed states
2004
Yonina C. Eldar
Mihailo Stojnic
Babak Hassibi
Common Coauthors
Coauthor
Papers Together
Agostino Capponi
7
Babak Hassibi
2
Yonina C. Eldar
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
Chat
High-Dimensional Centrally Symmetric Polytopes with Neighborliness Proportional to Dimension
2005
David L. Donoho
25
+
PDF
Chat
Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
2006
Emmanuel J. Candès
Justin Romberg
Terence Tao
24
+
CoSaMP: Iterative signal recovery from incomplete and inaccurate samples
2008
Deanna Needell
Joel A. Tropp
21
+
Thresholded Basis Pursuit: Quantizing Linear Programming Solutions for Optimal Support Recovery and Approximation in Compressed Sensing
2008
Venkatesh Saligrama
Manqi Zhao
17
+
Various thresholds for $\ell_1$-optimization in compressed sensing
2009
Mihailo Stojnic
17
+
PDF
Chat
Sparse representations in unions of bases
2003
RĂ©mi Gribonval
Morten Nielsen
17
+
PDF
Chat
An Alternating $l_1$ Approach to the Compressed Sensing Problem
2009
Stéphane Chrétien
17
+
PDF
Chat
Enhancing Sparsity by Reweighted â„“ 1 Minimization
2008
Emmanuel J. Candès
Michael B. Wakin
Stephen Boyd
17
+
Message-passing algorithms for compressed sensing
2009
David L. Donoho
Arian Maleki
Andrea Montanari
16
+
PDF
Chat
Neighborliness of randomly projected simplices in high dimensions
2005
David L. Donoho
Jared Tanner
15
+
Highly sparse representations from dictionaries are unique and independent of the sparseness measure
2006
RĂ©mi Gribonval
Morten Nielsen
15
+
Sparse nonnegative solution of underdetermined linear equations by linear programming
2005
David L. Donoho
Jared Tanner
15
+
PDF
Chat
A Simple Proof of the Restricted Isometry Property for Random Matrices
2008
Richard G. Baraniuk
Mark A. Davenport
Ronald DeVore
Michael B. Wakin
15
+
PDF
Chat
Random projections of regular simplices
1992
Fernando Affentranger
Rolf Schneider
13
+
Some inequalities for Gaussian processes and applications
1985
Y. Gordon
12
+
Random projections of regular polytopes
1999
K�roly B�r�czky
Martin Henk
12
+
PDF
Chat
On the geometrical moments of skew-regular simplices in hyperspherical space, with some applications in geometry and mathematical statistics
1960
Harold Ruben
12
+
Subspace Pursuit for Compressive Sensing Signal Reconstruction
2008
Wei Dai
Olgica Milenković
11
+
PDF
Chat
Explicit measurements with almost optimal thresholds for compressed sensing
2008
Farzad Parvaresh
Babak Hassibi
11
+
Non-linear angle-sum relations for polyhedral cones and polytopes
1975
Peter McMullen
10
+
PDF
Chat
Decoding by Linear Programming
2005
Emmanuel J. Candès
Terence Tao
10
+
Sharp thresholds for high-dimensional and noisy recovery of sparsity
2006
Martin J. Wainwright
9
+
PDF
Chat
Sampling and reconstruction of signals with finite rate of innovation in the presence of noise
2005
Irena Maravić
Martin Vetterli
9
+
Algorithmic linear dimension reduction in the l_1 norm for sparse vectors
2006
Anna C. Gilbert
Michael Strauss
Joel A. Tropp
Roman Vershynin
9
+
Thresholds for the Recovery of Sparse Solutions via L1 Minimization
2006
David L. Donoho
Jared Tanner
8
+
Signal Reconstruction From Noisy Random Projections
2006
Jarvis Haupt
Robert D. Nowak
8
+
Uncertainty principles and ideal atomic decomposition
2001
David L. Donoho
Xiaoming Huo
8
+
PDF
Chat
Sparsity oracle inequalities for the Lasso
2007
Florentina Bunea
Alexandre B. Tsybakov
Marten Wegkamp
8
+
PDF
Chat
High-dimensional generalized linear models and the lasso
2008
Sara A. van de Geer
8
+
A Frame Construction and a Universal Distortion Bound for Sparse Representations
2008
Mehmet Akçakaya
Vahid Tarokh
8
+
Counting faces of randomly projected polytopes when the projection radically lowers dimension
2008
David L. Donoho
Jared Tanner
7
+
PDF
Chat
The Dynamics of Message Passing on Dense Graphs, with Applications to Compressed Sensing
2011
Mohsen Bayati
Andrea Montanari
7
+
PDF
Chat
Eine neue Herleitung des Exponentialgesetzes in der Wahrscheinlichkeitsrechnung
1922
J. W. Lindeberg
7
+
PDF
Chat
Model-Based Compressive Sensing
2010
Richard G. Baraniuk
Volkan Cevher
Marco F. Duarte
Chinmay Hegde
6
+
PDF
Chat
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
2010
Benjamin Recht
Maryam Fazel
Pablo A. Parrilo
6
+
Algorithmic linear dimension reduction in the l_1 norm for sparse vectors
2006
Anna C. Gilbert
Martin J. Strauss
Joel A. Tropp
Roman Vershynin
6
+
PDF
Chat
Imaging via Compressive Sampling
2008
Justin Romberg
6
+
PDF
Chat
How Neighborly Can a Centrally Symmetric Polytope Be?
2006
Nathan Linial
Isabella Novik
6
+
Block-length dependent thresholds in block-sparse compressed sensing
2009
Mihailo Stojnic
6
+
On sparse reconstruction from Fourier and Gaussian measurements
2007
Mark Rudelson
Roman Vershynin
5
+
PDF
Chat
Lasso-type recovery of sparse representations for high-dimensional data
2009
Nicolai Meinshausen
Bin Yu
5
+
Controlled Loosening-up (CLuP) -- achieving exact MIMO ML in polynomial time
2019
Mihailo Stojnic
5
+
PDF
Chat
Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
1995
Michel X. Goemans
David P. Williamson
5
+
Dense Error Correction Via $\ell^1$-Minimization
2010
John Wright
Yi Ma
5
+
PDF
Chat
Block-Sparse Signals: Uncertainty Relations and Efficient Recovery
2010
Yonina C. Eldar
Patrick Kuppinger
Helmut Bölcskei
5
+
Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing
2009
David L. Donoho
Jared Tanner
5
+
$\ell_{2}/\ell_{1}$-Optimization in Block-Sparse Compressed Sensing and Its Strong Thresholds
2010
Mihailo Stojnic
5
+
A remark on simultaneous greedy approximation
2004
Vladimir Temlyakov
5
+
PDF
Chat
Simultaneously Sparse Solutions to Linear Inverse Problems with Multiple System Matrices and a Single Observation Vector
2010
A. Zelinski
Vivek K Goyal
Elfar Adalsteinsson
5
+
Probabilistic methods in the geometry of Banach spaces
1986
Gilles Pisier
5