diff --git a/Cargo.lock b/Cargo.lock
index f58dce9..7bf3d60 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -1184,7 +1184,7 @@ dependencies = [
  "itertools 0.12.1",
  "nalgebra",
  "num",
- "rand",
+ "rand 0.8.5",
  "rand_distr",
  "rayon",
 ]
@@ -1317,7 +1317,7 @@ dependencies = [
  "itertools 0.14.0",
  "log",
  "num-traits",
- "rand",
+ "rand 0.9.4",
  "rayon",
  "spade",
 ]
@@ -2043,8 +2043,18 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "34af8d1a0e25924bc5b7c43c079c942339d8f0a8b57c39049bef581b46327404"
 dependencies = [
  "libc",
- "rand_chacha",
- "rand_core",
+ "rand_chacha 0.3.1",
+ "rand_core 0.6.4",
+]
+
+[[package]]
+name = "rand"
+version = "0.9.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "44c5af06bb1b7d3216d91932aed5265164bf384dc89cd6ba05cf59a35f5f76ea"
+dependencies = [
+ "rand_chacha 0.9.0",
+ "rand_core 0.9.5",
 ]
 
 [[package]]
@@ -2054,7 +2064,17 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "e6c10a63a0fa32252be49d21e7709d4d4baf8d231c2dbce1eaa8141b9b127d88"
 dependencies = [
  "ppv-lite86",
- "rand_core",
+ "rand_core 0.6.4",
+]
+
+[[package]]
+name = "rand_chacha"
+version = "0.9.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "d3022b5f1df60f26e1ffddd6c66e8aa15de382ae63b3a0c1bfc0e4d3e3f325cb"
+dependencies = [
+ "ppv-lite86",
+ "rand_core 0.9.5",
 ]
 
 [[package]]
@@ -2066,6 +2086,15 @@ dependencies = [
  "getrandom 0.2.15",
 ]
 
+[[package]]
+name = "rand_core"
+version = "0.9.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "76afc826de14238e6e8c374ddcc1fa19e374fd8dd986b0d2af0d02377261d83c"
+dependencies = [
+ "getrandom 0.3.1",
+]
+
 [[package]]
 name = "rand_distr"
 version = "0.4.3"
@@ -2073,7 +2102,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "32cb0b9bc82b0a0876c2dd994a7e7a2683d3e7390ca40e6886785ef0c7e3ee31"
 dependencies = [
  "num-traits",
- "rand",
+ "rand 0.8.5",
 ]
 
 [[package]]
@@ -2102,8 +2131,8 @@ dependencies = [
  "once_cell",
  "paste",
  "profiling",
- "rand",
- "rand_chacha",
+ "rand 0.8.5",
+ "rand_chacha 0.3.1",
  "simd_helpers",
  "system-deps",
  "thiserror 1.0.69",
diff --git a/Cargo.toml b/Cargo.toml
index 3b56959..cbb6420 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -24,7 +24,7 @@ imageproc = "0.25.0"
 itertools = "0.14.0"
 log = "0.4.25"
 num-traits = "0.2.19"
-rand = "0.8.5"
+rand = "0.9.3"
 rayon = "1.10.0"
 spade = "2.12.1"