Courtade, Thomas A. Rigid characterizations of probability measures through independence, with applications. arXiv:2403.06615 Preprint, arXiv:2403.06615 [math.PR] (2024). BibTeX Cite \textit{T. A. Courtade}, ``Rigid characterizations of probability measures through independence, with applications'', Preprint, arXiv:2403.06615 [math.PR] (2024) Full Text: arXiv OA License
Courtade, Thomas A.; Fathi, Max HWI inequalities in discrete spaces via couplings. arXiv:2312.01368 Preprint, arXiv:2312.01368 [math.PR] (2023). BibTeX Cite \textit{T. A. Courtade} and \textit{M. Fathi}, ``HWI inequalities in discrete spaces via couplings'', Preprint, arXiv:2312.01368 [math.PR] (2023) Full Text: arXiv OA License
Courtade, Thomas A.; Liu, Jingbo Euclidean forward-reverse Brascamp-Lieb inequalities: finiteness, structure, and extremals. (English) Zbl 1473.26020 J. Geom. Anal. 31, No. 4, 3300-3350 (2021). Reviewer: Snezhana Hristova (Plovdiv) MSC: 26D15 39B72 PDFBibTeX XMLCite \textit{T. A. Courtade} and \textit{J. Liu}, J. Geom. Anal. 31, No. 4, 3300--3350 (2021; Zbl 1473.26020) Full Text: DOI arXiv
Pananjady, Ashwin; Mao, Cheng; Muthukumar, Vidya; Wainwright, Martin J.; Courtade, Thomas A. Worst-case versus average-case design for estimation from partial pairwise comparisons. (English) Zbl 1452.62561 Ann. Stat. 48, No. 2, 1072-1097 (2020). Reviewer: Kévin Allan Sales Rodrigues (São Paulo) MSC: 62J15 62F07 62K20 15A83 00A27 PDFBibTeX XMLCite \textit{A. Pananjady} et al., Ann. Stat. 48, No. 2, 1072--1097 (2020; Zbl 1452.62561) Full Text: DOI arXiv Euclid
Courtade, Thomas A. Bounds on the Poincaré constant for convolution measures. (English. French summary) Zbl 1462.60030 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 566-579 (2020). MSC: 60E15 60F05 PDFBibTeX XMLCite \textit{T. A. Courtade}, Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 566--579 (2020; Zbl 1462.60030) Full Text: DOI arXiv Euclid
Courtade, Thomas A.; Fathi, Max Stability of the Bakry-Émery theorem on \(\mathbb{R}^n\). (English) Zbl 1437.35005 J. Funct. Anal. 279, No. 2, Article ID 108523, 28 p. (2020). MSC: 35A23 28C20 PDFBibTeX XMLCite \textit{T. A. Courtade} and \textit{M. Fathi}, J. Funct. Anal. 279, No. 2, Article ID 108523, 28 p. (2020; Zbl 1437.35005) Full Text: DOI arXiv
Liu, Jingbo; Courtade, Thomas A.; Cuff, Paul; Verdú, Sergio Smoothing Brascamp-Lieb inequalities and strong converses of coding theorems. (English) Zbl 1434.94049 IEEE Trans. Inf. Theory 66, No. 2, 704-721 (2020). MSC: 94A24 94A29 PDFBibTeX XMLCite \textit{J. Liu} et al., IEEE Trans. Inf. Theory 66, No. 2, 704--721 (2020; Zbl 1434.94049) Full Text: DOI
Courtade, Thomas A.; Fathi, Max; Pananjady, Ashwin Existence of Stein kernels under a spectral gap, and discrepancy bounds. (English. French summary) Zbl 1466.60006 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 777-790 (2019). MSC: 60B10 60F05 60E15 PDFBibTeX XMLCite \textit{T. A. Courtade} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 777--790 (2019; Zbl 1466.60006) Full Text: DOI arXiv Euclid
Courtade, Thomas A. Transportation Proof of an inequality by Anantharam, Jog and Nair. arXiv:1901.10893 Preprint, arXiv:1901.10893 [cs.IT] (2019). BibTeX Cite \textit{T. A. Courtade}, ``Transportation Proof of an inequality by Anantharam, Jog and Nair'', Preprint, arXiv:1901.10893 [cs.IT] (2019) Full Text: arXiv OA License
Courtade, Thomas A.; Fathi, Max; Pananjady, Ashwin Quantitative stability of the entropy power inequality. (English) Zbl 1401.94070 IEEE Trans. Inf. Theory 64, No. 8, 5691-5703 (2018). MSC: 94A17 62E17 PDFBibTeX XMLCite \textit{T. A. Courtade} et al., IEEE Trans. Inf. Theory 64, No. 8, 5691--5703 (2018; Zbl 1401.94070) Full Text: DOI
Courtade, Thomas A.; Han, Guangyue; Wu, Yaochen Counterexample to the vector generalization of Costa’s entropy power inequality, and partial resolution. (English) Zbl 1401.94071 IEEE Trans. Inf. Theory 64, No. 7, 5453-5454 (2018). MSC: 94A17 PDFBibTeX XMLCite \textit{T. A. Courtade} et al., IEEE Trans. Inf. Theory 64, No. 7, 5453--5454 (2018; Zbl 1401.94071) Full Text: DOI
Pananjady, Ashwin; Wainwright, Martin J.; Courtade, Thomas A. Linear regression with shuffled data: statistical and computational limits of permutation recovery. (English) Zbl 1395.62204 IEEE Trans. Inf. Theory 64, No. 5, 3286-3300 (2018). MSC: 62J05 60C05 94A12 PDFBibTeX XMLCite \textit{A. Pananjady} et al., IEEE Trans. Inf. Theory 64, No. 5, 3286--3300 (2018; Zbl 1395.62204) Full Text: DOI
Pananjady, Ashwin; Courtade, Thomas A. The effect of local decodability constraints on variable-length compression. (English) Zbl 1390.94696 IEEE Trans. Inf. Theory 64, No. 4, Part 1, 2593-2608 (2018). MSC: 94A29 PDFBibTeX XMLCite \textit{A. Pananjady} and \textit{T. A. Courtade}, IEEE Trans. Inf. Theory 64, No. 4, Part 1, 2593--2608 (2018; Zbl 1390.94696) Full Text: DOI
Courtade, Thomas A. A strong entropy power inequality. (English) Zbl 1390.94618 IEEE Trans. Inf. Theory 64, No. 4, Part 1, 2173-2192 (2018). MSC: 94A17 60E15 PDFBibTeX XMLCite \textit{T. A. Courtade}, IEEE Trans. Inf. Theory 64, No. 4, Part 1, 2173--2192 (2018; Zbl 1390.94618) Full Text: DOI
Courtade, Thomas A. Monotonicity of entropy and Fisher information: a quick proof via maximal correlation. (English) Zbl 1365.60047 Commun. Inf. Syst. 16, No. 2, 111-115 (2016). MSC: 60G50 60F05 94A17 62B10 PDFBibTeX XMLCite \textit{T. A. Courtade}, Commun. Inf. Syst. 16, No. 2, 111--115 (2016; Zbl 1365.60047) Full Text: DOI arXiv
Courtade, Thomas A.; Halford, Thomas R. Coded cooperative data exchange for a secret key. (English) Zbl 1359.94642 IEEE Trans. Inf. Theory 62, No. 7, 3785-3795 (2016). MSC: 94A62 94A60 PDFBibTeX XMLCite \textit{T. A. Courtade} and \textit{T. R. Halford}, IEEE Trans. Inf. Theory 62, No. 7, 3785--3795 (2016; Zbl 1359.94642) Full Text: DOI arXiv
Courtade, Thomas A.; Fathi, Max; Pananjady, Ashwin Wasserstein Stability of the Entropy Power Inequality for Log-Concave Densities. arXiv:1610.07969 Preprint, arXiv:1610.07969 [cs.IT] (2016). BibTeX Cite \textit{T. A. Courtade} et al., ``Wasserstein Stability of the Entropy Power Inequality for Log-Concave Densities'', Preprint, arXiv:1610.07969 [cs.IT] (2016) Full Text: arXiv OA License
Courtade, Thomas A. Entropy Jumps for Radially Symmetric Random Vectors. arXiv:1608.05430 Preprint, arXiv:1608.05430 [cs.IT] (2016). BibTeX Cite \textit{T. A. Courtade}, ``Entropy Jumps for Radially Symmetric Random Vectors'', Preprint, arXiv:1608.05430 [cs.IT] (2016) Full Text: arXiv OA License
Courtade, Thomas A. Comments on “Canalizing Boolean functions maximize mutual information”. (English) Zbl 1359.94989 IEEE Trans. Inf. Theory 61, No. 2, 1149-1151 (2015). MSC: 94D05 94A15 PDFBibTeX XMLCite \textit{T. A. Courtade}, IEEE Trans. Inf. Theory 61, No. 2, 1149--1151 (2015; Zbl 1359.94989) Full Text: DOI
Ingber, Amir; Courtade, Thomas; Weissman, Tsachy Compression for quadratic similarity queries. (English) Zbl 1359.62246 IEEE Trans. Inf. Theory 61, No. 5, 2729-2747 (2015). MSC: 62H30 62-07 62E17 65C60 PDFBibTeX XMLCite \textit{A. Ingber} et al., IEEE Trans. Inf. Theory 61, No. 5, 2729--2747 (2015; Zbl 1359.62246) Full Text: DOI arXiv
Jiao, Jiantao; Courtade, Thomas A.; Venkat, Kartik; Weissman, Tsachy Justification of logarithmic loss via the benefit of side information. (English) Zbl 1359.62030 IEEE Trans. Inf. Theory 61, No. 10, 5357-5365 (2015). MSC: 62C05 62B10 PDFBibTeX XMLCite \textit{J. Jiao} et al., IEEE Trans. Inf. Theory 61, No. 10, 5357--5365 (2015; Zbl 1359.62030) Full Text: DOI arXiv
Courtade, Thomas A.; Weissman, Tsachy Multiterminal source coding under logarithmic loss. (English) Zbl 1364.94270 IEEE Trans. Inf. Theory 60, No. 1, 740-761 (2014). MSC: 94A24 PDFBibTeX XMLCite \textit{T. A. Courtade} and \textit{T. Weissman}, IEEE Trans. Inf. Theory 60, No. 1, 740--761 (2014; Zbl 1364.94270) Full Text: DOI arXiv
Courtade, Thomas A.; Wesel, Richard D. Coded cooperative data exchange in multihop networks. (English) Zbl 1364.94026 IEEE Trans. Inf. Theory 60, No. 2, 1136-1158 (2014). MSC: 94A05 94A29 PDFBibTeX XMLCite \textit{T. A. Courtade} and \textit{R. D. Wesel}, IEEE Trans. Inf. Theory 60, No. 2, 1136--1158 (2014; Zbl 1364.94026) Full Text: DOI arXiv
Courtade, Thomas A.; Kumar, Gowtham R. Which Boolean functions maximize mutual information on noisy inputs? (English) Zbl 1360.94149 IEEE Trans. Inf. Theory 60, No. 8, 4515-4525 (2014). MSC: 94A17 94A15 94C10 PDFBibTeX XMLCite \textit{T. A. Courtade} and \textit{G. R. Kumar}, IEEE Trans. Inf. Theory 60, No. 8, 4515--4525 (2014; Zbl 1360.94149) Full Text: DOI
Jiao, Jiantao; Courtade, Thomas A.; No, Albert; Venkat, Kartik; Weissman, Tsachy Information measures: the curious case of the binary alphabet. (English) Zbl 1359.94331 IEEE Trans. Inf. Theory 60, No. 12, 7616-7626 (2014). MSC: 94A17 PDFBibTeX XMLCite \textit{J. Jiao} et al., IEEE Trans. Inf. Theory 60, No. 12, 7616--7626 (2014; Zbl 1359.94331) Full Text: DOI arXiv
Xie, Bike; Courtade, Thomas A.; Wesel, Richard D. Optimal encoding for discrete degraded broadcast channels. (English) Zbl 1364.94479 IEEE Trans. Inf. Theory 59, No. 3, 1360-1378 (2013). MSC: 94A40 94A29 PDFBibTeX XMLCite \textit{B. Xie} et al., IEEE Trans. Inf. Theory 59, No. 3, 1360--1378 (2013; Zbl 1364.94479) Full Text: DOI