1,755,417 research outputs found
Deterministic Identity Testing Paradigms for Bounded Top-Fanin Depth-4 Circuits
No full textPolynomial Identity Testing (PIT) is a fundamental computational problem. The famous depth-4 reduction (Agrawal & Vinay, FOCS'08) has made PIT for depth-4 circuits, an enticing pursuit. The largely open special-cases of sum-product-of-sum-of-univariates (Σ^[k] Π Σ ∧) and sum-product-of-constant-degree-polynomials (Σ^[k] Π Σ Π^[δ]), for constants k, δ, have been a source of many great ideas in the last two decades. For eg. depth-3 ideas (Dvir & Shpilka, STOC'05; Kayal & Saxena, CCC'06; Saxena & Seshadhri, FOCS'10, STOC'11); depth-4 ideas (Beecken, Mittmann & Saxena, ICALP'11; Saha,Saxena & Saptharishi, Comput.Compl.'13; Forbes, FOCS'15; Kumar & Saraf, CCC'16); geometric Sylvester-Gallai ideas (Kayal & Saraf, FOCS'09; Shpilka, STOC'19; Peleg & Shpilka, CCC'20, STOC'21). We solve two of the basic underlying open problems in this work.
We give the first polynomial-time PIT for Σ^[k] Π Σ ∧. Further, we give the first quasipolynomial time blackbox PIT for both Σ^[k] Π Σ ∧ and Σ^[k] Π Σ Π^[δ]. No subexponential time algorithm was known prior to this work (even if k = δ = 3). A key technical ingredient in all the three algorithms is how the logarithmic derivative, and its power-series, modify the top Π-gate to ∧
SUPERSEDED - Whose behaviour? Ca2+ imaging in medial prefrontal cortex during social dominance interactions in a Tube-Test
No full text## This item has been replaced by the one which can be found at https://doi.org/10.7488/ds/3415 #
This data set is a supplement for the article entitled "Whose behaviour? Ca2+ imaging in medial prefrontal cortex during social dominance interactions in a Tube-Test" that is submitted for in PNAS, Saxena et al 2021. Using this data one can reproduce the figures and the analysis done in the above-mentioned article and figures
Alder Keleman Saxena
No full textAlder Keleman Saxena, Northern Arizona Universityhttps://digitalcommons.montclair.edu/sust-seminar-headshots/1123/thumbnail.jp
Fuzzy Time Series Saxena-Easo Pada Peramalan Laju Inflasi Indonesia (Saxena-Easo Fuzzy Time Series on Indonesia’s Inflation Rate Forecasting)
No full textSaxena-Easo Fuzzy Time Series
(FTS
) is a softcomputing method for forecasting using fuzzy
concept. It doesn’t need any assumption like conventional forecasting method. Generally it’s
focused on three important steps like percentage change as the universe of discourse, interval
partition, and defuzzification. In this research, this method is applied to Indonesia’s inflation rate
data. The aim of this research is to forecast Indonesia’s inflation rate in 2017 by using input from
Autoregressive Integrated Moving Average
(ARIMA
) process, Saxena-Easo FTS, and actual data
from 1970-2016. ARIMA is focused on four steps like identifying, parameter estimation,
diagnostic checking, and forecasting. The result for Indonesia’s inflation rate forecasting in 2017
is about 5.9182 using Saxena-Easo FTS. Root Mean Square Error
(RMSE
) is also computed to
compare the accuracy rate from each method between Saxena-Easo FTS and ARIMA. RMSE from
Saxena-Easo FTS is about 0.9743 while ARIMA is about 6.3046
Neelam Saxena Chandra: A Literary Luminary Bridging Languages and Genres
No full textNeelam Saxena Chandra, a prolific bilingual author, discusses her journey in poetry, literary influences, and creative process. She reflects on poetry as a medium for emotional expression and social change, sharing insights into her works, inspirations, and thoughts on gender sensitization and evolving poetic forms in contemporary literature
“Workers in the textiles industry are portrayed by the media as victims. I wanted to challenge that narrative” – Sanchita Saxena
No full textOn 27 November Dr Sanchita Saxena will speak at LSE about her book Made in Bangladesh, Cambodia, and Sri Lanka: The Labor Behind the Global Garment and Textiles Industries. Ahead of her visit she spoke to Sonali Campion about how her findings challenged the media portrayal the garment industry in Asia and highlighted the strength of the female-led labour movement in Bangladesh. She also discussed the failure of Western brands to promote structural reform following the Rana Plaza collapse
- …
